diff --git "a/data/dm_maths/full_data_2/10612_11255.jsonl" "b/data/dm_maths/full_data_2/10612_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10612_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -p - 12 = p. Let b be (-6 - p)\/((1\/1)\/1). Suppose -5*n = -4*q - 24, b = 3*q + 2 + 1. Solve -2*a + 0 = -n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.172 + 0.122. Let v = 0.15 + p. What is the closest to v in -2, 0.5, 17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5640.386 years?\nAnswer: 56.40386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 6. Let y be s(5). Let f(a) = 14*a - 1. Let x(j) = 8*j**2 + 2*j + 1. What is the remainder when x(2) is divided by f(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 22 = 3*n - 2, -3*n + 2*j = -18. Is -7 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3326.96633 + 3327. Let c = t - 0.032. Round c to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1014 or -1030?\nAnswer: -1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72756777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 38. Let y be u(17). Sort y, -3, -4\/7, 7\/3 in descending order.\nAnswer: y, 7\/3, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1700 + 0*q + 2*q + 1905 - 101.\nAnswer: 2*q + 3504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 677566003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11\/4 (b) 31\/2 (c) -5\/183 (d) -3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033465 rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141874.1539 plus -85.8?\nAnswer: 141788.3539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83.748 or -1?\nAnswer: 83.748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -9*r**5\/20 + 16*r**2 - 29*r. Find the first derivative of s(x) wrt x.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41094*n - 109962*n + 453793*n.\nAnswer: 384925*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69969 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/228981, -0.3, 0.1, -11 in increasing order.\nAnswer: -11, -0.3, -2\/228981, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-9))\/(-4)*(-1)\/1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2055)\/(-12)*4\/(-10). Let v = x + 66. What is the second smallest value in 0.2, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -223*t - 41. Let o be g(-5). Let j = 146063\/136 - o. Find the common denominator of j and 29\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052028 is divided by 245?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17557*n**3 + 17575*n**3 + 123*n + 119*n - 242*n.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*h - 32, q - 2*h + 2 = -0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 0. Let i = f + 26. Let q = i + -4. What is the second smallest value in 5, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.9 times 0.3?\nAnswer: -21.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(13) - sqrt(117))*6 + (sqrt(156)\/sqrt(48) - sqrt(13)))*2.\nAnswer: -25*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98368.44m to micrometers.\nAnswer: 98368440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*n - 104*n + 3 - 308*n + 723*n.\nAnswer: -4*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29053422 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 - 92*u + 28606. What are the prime factors of i(0)?\nAnswer: 2, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*w = -4*w, -112*r + 117*r = -w + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:49 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3164664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/5)\/c)\/c**(-2\/5)*(c\/c**2)**2*((c\/(c*c**(1\/6)))\/(c\/((c\/(c*c*c*c*c*c**(-1\/16))*c)\/c*c)))\/(c**(-6)\/c*c\/c**6) assuming c is positive.\nAnswer: c**(331\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**6\/15 - 3*u**5\/5 - u**4\/3 + 2*u**3 + 4*u**2 + 3*u. Determine x, given that s(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:37 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 766 - 766 - m - 21*m**2 - 4*m**2 + 3*m**2 + 3*m**2 + (-4*m + 0*m + m)*(m - m - 2*m) as r*m**2 + h + y*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1927484 - 873939. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (613\/(-166736))\/(2\/(-8))\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 35 = -r, g - 4*r + 14 = 2*g. Let s(m) = -m**2 + 7*m + 9. Let i be s(7). Let y be (6\/(-9))\/(g\/i). Solve -d + y - 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14518\/(-5856)*16)\/(-85)\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 935 = 4*t, f + 748 = 5*f + 4*t. What is the highest common factor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10128 != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/594 and 95\/16.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -27*u + 26*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 6:43 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 364 = 4*x, 3*k = 2*x - 174. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -4)*-4.\nAnswer: -12*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-10)*t)\/t**(3\/2)*((t\/(t**(-1\/17)*t)*t*t)\/t)\/((t**(-2\/25)\/t*t*t)\/t) assuming t is positive.\nAnswer: t**(-7107\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/2 - 15*i**2\/2 - 11*i + 48 = 0?\nAnswer: -3, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82.66 - -81.66. Which is the fourth smallest value? (a) v (b) 1\/3 (c) 3 (d) 2\/1311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4, 1\/6, 4 in increasing order.\nAnswer: -4, 1\/6, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 - -13473.\nAnswer: 13388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 138\nAnswer: 56\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 38. Let n = 297 - j. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 7. Let s be 1081\/(-207) + 2\/9. Calculate t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2296)\/(-98))\/(-41))\/(96\/(-21))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749592241 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*j**2 + j**3 - 8560*j - 225*j**2 + 8556*j - 2*j**3.\nAnswer: -j**3 + 538*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 23*h - 22. Let m be y(-24). What is the nearest to 0 in 5, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 7*m - 42. Let b be v(-4). Suppose -2*w + b*o + 510 = 0, 1047 = 5*w - w + 5*o. List the prime factors of w.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 15) + -6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.104 and -0.315605796.\nAnswer: -0.211605796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -3*n**2\/2 + n + 2. Let f = 16 + -14. Let k(c) = -7*c + 3. Calculate f*k(d) - 5*b(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1233 = -2*r + 3*y, -r - 4*r + 3105 = -3*y. Let a be -2 + (0 - 0) - r. Let b = 333 - a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 = -85*t - f, 0 = t + 340764*f - 340767*f - 15 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**6\/30 - t**5\/20 + t**4\/6 - 1061*t. Determine r so that n(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 66. Which is the third smallest value? (a) 5 (b) -79 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70021771, -70021774, -70021779, -70021786?\n\"Answer: -w**2 - 70021770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15449*t**4 - 21*t**2 + 2*t - 3317329?\nAnswer: 61796*t**3 - 42*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 568 - 456. Let h be 300*(a\/(-70) + 2\/1). Which is smaller: h or 122?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + ((-2)\/6)\/(1\/(-9)). Suppose 33*n - 32*n = j. Suppose 3*w - 4*o - 28 = 0, -w + 4*o = 4*w - 60. Calculate the remainder when w is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110110010 (base 2) to base 11.\nAnswer: 4a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 + s**2 - s - 1. Let o be g(-1). Let a(t) be the first derivative of -6 + 5\/4*t**o - 1\/2*t**2 + 1\/3*t**3 + t. Determine a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -646, -2760, -6282, -11212, -17550, -25296, -34450?\n\"Answer: -704*v**2 - 2*v + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 d, and 1 s when four letters picked without replacement from {s: 6, z: 4, d: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**(-34)\/(f\/(f**13\/f)*f*f*f**(-12)) assuming f is positive.\nAnswer: f**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let x be (l + 1)*(-5)\/(-2). Suppose 5*y = -5*p + 15, -y + x = 4*p - 13. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 29*w**2 + 40*w + 53. Determine j(11).\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -279*v**5\/20 + 863*v**2. Let g(f) = -2*f**2. Calculate g(m(d)).\nAnswer: -1401138*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i**3 + 2*i)*(3 - 2 - 2)*(8 - 11 - 1).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*q + 34*q - 44. Solve -3*i + q = 5*r, -5*r + 30 = 6*i - 11*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 2 t when four letters picked without replacement from hdllthglhhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 7*c**2 - 8*c + 4. Let o be h(-8). Is 11 a factor of (4 - 14)*(-10)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l + l - 10*l - 2*l + 0 + 0 + l - 4*l + l + 2*l - 5*l + 4*l + (-3 + 0 + 1)*(3*l - 4*l + 3*l) - 3*l + 2*l + 2*l + l - 1 + 1 - 2 + l + 2.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-30))\/(1\/(-6)). Let z be ((-27)\/(-72))\/(i\/8). Suppose w = 3 - 8. Sort z, -11, w in decreasing order.\nAnswer: z, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1349 is divided by 441.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uwwuwuuwuwuwu?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.26066um to meters.\nAnswer: 0.00000626066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2404 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.6 + 6.9. Let s = x - -5.677. What is s rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/28)\/(2\/(-14)). Suppose -7 = c*m - 29. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/5)\/(14\/35). Let i(z) be the second derivative of -1\/12*z**s - z**2 + 5*z - 2\/3*z**3 + 0. Determine i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -10. Suppose 31 = -3*f + s*f. Let o = f - 14. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((21\/(-3))\/(-14))*(-49)\/14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0 + 0)*(0*x - x - x) - 2*x**2 + 0*x**2 + 4*x**2 + (1 - 2*x - 1)*(0*x + 5*x + 0*x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - 14*y**2 + 35*y + 16. What is the remainder when 1487 is divided by r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 40*v**2 - 16*v + 15. Let s be h(1). Suppose -s*g = -5*g. Let o = -5 - -10. Solve -3*a = -3*b - b - 21, g = 2*b - o*a + 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*t = -23, 152 = 4*q - 0*q - 4*t. Suppose -53 = -3*j + b, -5*b - 18 = -0*j - 2*j. What is the remainder when q is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -666 + 1324 + 4*j**3 + j - 661 to q*j + y*j**3 + i*j**2 + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 343\/(-3528) + 3\/(-24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54365 to 3 dps.\nAnswer: -0.544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -110 (b) 1\/6 (c) 1\/2 (d) -1\/4 (e) 25.06 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 70 (b) 3\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2793*r + 1290351. Give l(462).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15281 + 161*m**2 - 158*m**2 + 15281.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10654549*j**3 + 1368992 wrt j?\nAnswer: -31963647*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4138777 divided by 4.\nAnswer: 4138777\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -76898*v - 3. Is z(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-20)*(-20)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10)*25\/(-15). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 914 = -7*s + 998. Let z(g) = 3*g - 31. Give z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*q + 1337 - 629*q**2 + 911*q**2 - 467*q**2 wrt q?\nAnswer: -370*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/19 in 0.1, -1, -1\/218, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 8*a + 62 - 29 to r + g*a and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1054.9 to the nearest ten.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-4) + (-2)\/2. Let j = -1 + m. Let a(r) = 2*r + 5. Let g be a(-5). Sort j, 3, g in decreasing order.\nAnswer: 3, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*n - 123*n = 132 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413041 (base 5) to base 4.\nAnswer: 3103101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35046*h - 35042*h = 2*y + 124, 3*y - 2*y + h = -47 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0 + 202*z + 2\/9*z**4 - 1\/90*z**5 + 13\/27*z**3 + 0*z**2. Let c(u) = 0. Calculate u.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 3, x: 3, s: 3, k: 4, t: 1}. Give prob of sequence xuu.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*11\/((-22)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 - 3*c - 2. Let b be v(-1). Let h(p) = 2*p + 8. Let y be h(b). Suppose y = -2*q + a + 4*a - 17, 2*q - 3 = a. Solve -2 = 2*x - q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 4. Let n be f(-3). Let r be (n - -1)*1\/(-2). Suppose -4*y + 4 = -r*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.0821 milligrams to nanograms.\nAnswer: 80082100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -46 + 4 + -3 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1243, 2479, 3715?\n\"Answer: 1236*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 9*j**2 + 40*j - 46. Determine w(11).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u + 1. Let h(z) = -4*z - 1. Let x(r) = -2*f(r) - 3*h(r). Let k be x(5). Suppose 0 = -s - 0*s + k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-10))\/(17 + (-2990)\/175). Solve -x*z = 127 - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 209.357, 0, -1\/7 in ascending order.\nAnswer: -1\/7, 0, 209.357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(685*r - 1361*r - 1423*r - 1336*r - 33*r).\nAnswer: 3468*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -4)\/1*1. Let w be 1\/((-3)\/(-8 - t)). Let d be (w + 1 - -9) + -4. What is the highest common divisor of 99 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/2)*k))**34*(k**(-2)\/k)\/(((k\/k**(-4))\/k)\/k)*(k\/((k*k**(-1))\/k))**(-2\/113)*(k*k**(-1\/4)*k*k)**44 assuming k is positive.\nAnswer: k**(11070\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682, 1354, 2030, 2716, 3418?\nAnswer: 4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + (-2*sqrt(5) - sqrt(5)) + (sqrt(180)*2)**2.\nAnswer: -2*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-14 - (-11 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 187159*q = -187161*q + 27, v = -3*q + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y + 35. Let h(b) = 4*b + 16 - b - 2*b. Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000796149 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 10. Find the second derivative of 22*p**t - 14*p**5 - 2*p - 40*p**2 + 18*p**2 wrt p.\nAnswer: -280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11)\/v)**(-30) assuming v is positive.\nAnswer: v**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-24))\/(2427\/1212 + -2).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*(sqrt(22) - sqrt(22)*3)\/sqrt(11))**2 - (0 + sqrt(968) + 1))*-3.\nAnswer: -606 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and (2496\/(-455)*5)\/((-3)\/14)?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 22 = 1. What is the derivative of v + 20 - 13*v**2 - h - v wrt v?\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhzhshnzhcsnsnncs. Give prob of sequence hsz.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u = 0. Suppose u*c = 3*c - 6. Differentiate -14*g**3 + 52 + 3*g**2 + 15*g**3 - c*g**3 with respect to g.\nAnswer: -3*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(3*f**2 - 3*f**2 + 2*f**3) + 567 + 113*f**3 - 1053 + 472.\nAnswer: 109*f**3 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5614429?\nAnswer: 29, 193601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17471611.\nAnswer: 59, 296129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:58 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-60)\/430) + 11. What is the highest common factor of x and 84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4*b**2 + 7*b - 4. Let r be x(5). Let n be 2276\/r*(-10 + 7). Let m = 1638 + n. What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 41310 = 5*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*n - 8*n + 8*n + (-4 + 4 + n)*(0 - 2 + 3)*(3 - 5 + 3) + (4 - 13 - 5)*(-n - 3*n + 2*n) + 5*n - 3*n - 4*n in the form w + p*n and give p.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2588, -5728, -8868, -12008, -15148, -18288?\n\"Answer: -3140*q + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -874*y + 98. Let d(x) = -53750*x + 6020. Let n(c) = -7*d(c) + 430*p(c). Let z(i) = 21*i**2. Calculate z(n(f)).\nAnswer: 3882900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 24*s + 72.\nAnswer: 2*(s + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)\/x)**(3\/38)*x**(-5\/3)*x*x**(2\/3)*x*x**(-1)*x*x*x**3*(x\/x**(-1))**40 assuming x is positive.\nAnswer: x**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - 65\/(-26). Let r(h) be the second derivative of -h - 2*h**2 + 0 + 1\/6*h**3. Determine r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 18\/12 - 217\/(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 24. Let q(v) = 5*v**2 + 3*v. Let a be q(u). Suppose -122 = -4*c + a. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-40))\/(4\/(-5))*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*d**4 - 302890*b**2*d + 86*b*d**3 + 751*b*d**2 + 574861*d**4 wrt d?\nAnswer: 48*b**2*d + 516*b + 13796664*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*r - 12, 174*r - 170*r = -5*i + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(25)\/((sqrt(10)*-2)\/sqrt(2))*-2)**2 + -5*(sqrt(20)\/sqrt(100) - sqrt(5))*2.\nAnswer: 8 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = g + 12. What is the lowest common multiple of 11 and g?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -2, -13, -34, -65, -106, -157?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(153) + sqrt(153)*2)\/sqrt(9) + sqrt(68)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 24. Let u = m - -20. What is the lowest common multiple of u and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*n - 4. Solve -8*b + n*b = 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 25*d**4\/24 - 30*d**3 + 2*d**2 - 36. Differentiate q(w) with respect to w.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Let y(b) = b + 1. Let p be ((-6)\/15)\/(7\/(-70)). Let v be y(p). Put v, -2, j in decreasing order.\nAnswer: v, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15878 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 150 - 154 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 20. Let s(m) = -2*m - 8. Calculate s(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23294, -48763, -74232, -99701, -125170, -150639?\n\"Answer: -25469*f + 2175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 6. Let c be 3\/1 + (-2)\/2. Is c equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*d = 198 + 746 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -17, -6, 21, 70, 147, 258, 409?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at least as big as 542.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004007?\nAnswer: 3, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 18*h**3 + 4 - 9 + 5.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47372998?\nAnswer: 2, 23686499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(864) + sqrt(24))*6)\/(sqrt(1728) - (sqrt(1728) + sqrt(1728) + -4*sqrt(1728)) - sqrt(12) - sqrt(144)\/(sqrt(36)\/sqrt(3))).\nAnswer: -33*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.0188 to 1 dp.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.4588m in millimeters?\nAnswer: 991458.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -85. Suppose 0 = -g*v + 14 + 403. Let d = v - 693\/5. Which is the nearest to d? (a) 1\/2 (b) -0.06 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 2099679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 5 - (-3 + 1). Sort y, -5, 3 in decreasing order.\nAnswer: 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -0.2705.\nAnswer: -0.3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 164214476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, -3, 0.2, -216.855, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) -0.2 (c) -1546\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1410, 2805, 4200?\nAnswer: 5595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 5*l + 66 in the form b*l + g and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33*26\/(-1144))\/1. Which is the nearest to 0.1? (a) 2\/5 (b) 0 (c) w (d) 2\/225\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817526 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + sqrt(13) + -2.\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 12*v**2 - 9*v - 15. Let d be q(11). Suppose 3*p = d*p - 388. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -254? (a) 2 (b) -9 (c) -0.1 (d) 235.3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 - 17 = 0. Suppose 1 = -p*u + 13. Solve 0 = 4*a + u + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**2 + r**3 - 34*r + 46*r + 2 - 2*r**2 to x*r**3 + i + s*r**2 + l*r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1531*f**2 - 6*f**3 + 3*f**3 + 4*f**3.\nAnswer: f**3 + 1531*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 204*m + 16113. Give z(-79).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 12:47 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3415508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*g + 12, -7 - 11 = -3*g - 4*q. Is 250 + (-49)\/7 + g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3280 + -1113. Let n = 2166.9089 - s. What is n rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/70 and -23\/6097?\nAnswer: 60970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 13*f**6\/120 + 11*f**5\/12 + 8*f**2. What is the third derivative of y(l) wrt l?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.003, -1, 0.1, 28 in decreasing order.\nAnswer: 28, 0.1, -0.003, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 9:58 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/5)*q**6\/q)\/((q\/(q\/(q*q**(-4)\/q)))\/q**(-2\/3)))**(-22))**2 assuming q is positive.\nAnswer: q**(-5236\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 17*d**6\/60 + 5*d**3\/6 + d**2 + 5. Differentiate k(g) with respect to g.\nAnswer: 102*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 + 0.54. Sort -0.5, s, -2, 0.3 in descending order.\nAnswer: s, 0.3, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let v(f) be the third derivative of -f**7\/5040 - f**5\/60 + 5*f**2. Let d(g) be the third derivative of v(g). Give d(j(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1875 and 103\/5775.\nAnswer: 144375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 434 + -243261?\nAnswer: -242524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 - 4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -5) + -5 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*a + 23 = -2*k, -37 = 5*k - 3*a. Let o be (-2)\/(2 - (-12)\/k). Solve 5 = q - o*n, -q + 4*n + 0 = -4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -20, -9*h - 20 = -5*h - 4*c. Suppose h = -85*d + 81*d. Let w = -1 - -1. Solve d = -2*z - w*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2882369ms in weeks?\nAnswer: 0.00000001205065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5)*1)\/((5190304\/(-2240))\/(-1363))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/5)*o\/(o*o**5*o*o))\/(o**(-1))**(-16) assuming o is positive.\nAnswer: o**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-29))**(-20))**(3\/5) assuming h is positive.\nAnswer: h**348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvt when three letters picked without replacement from kkvkkvtkkkvkkkt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -100. Is 28 a factor of (-14)\/(-3 + i\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 4*v - 4*v + 4*v**2 + (-2*v**2 + 4*v**2 + 0*v**2)*(2 - 1 + 1) in the form y + j*v + p*v**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 23 + 37. Let k = 74949 + -74928. Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 9*b**2 - 2*b + 2*b + b + 3. Let g be p(9). What is the highest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 64074.\nAnswer: 128148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 63 = 9*y. Calculate the remainder when y is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(140))\/(-3*(sqrt(5)*2 + sqrt(5))))**2 + sqrt(630)\/(sqrt(640) + sqrt(10))*-2.\nAnswer: -2*sqrt(7)\/3 + 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 3534?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 28*t**2 + 5*t - 52. What is x(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 8. Let n be t(5). Let g(w) = w**3 - 17*w**n + w**2 + 11*w - 2 - 6*w**2 + 10*w**2. Determine g(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - 48 - (0 + 0 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/96 + (-192)\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 25. What is the lowest common multiple of y and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 92710940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -3\/8 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {z: 7, x: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -1)*(-1)\/2. Let o = a - -5. Suppose d - o*d = -50. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 1, s: 1, j: 1, b: 11, c: 2}. Give prob of picking 1 d and 1 s.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 44038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d**4 + 3*d**3 + 7*d**4 - d**3 + 2 - 7*d + 7*d**4 - 18*d**4 to a*d + p + w*d**3 + u*d**2 + k*d**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 7526322?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 1\/4 (c) -3 (d) -13 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638518 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 2 = 0. Suppose -k = h*k - 1302. Let m = -63 + k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/4 + 1021115*g**2\/4 - 2042223*g\/4 - 3063339\/4 = 0?\nAnswer: -1, 3, 1021113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 2420.\nAnswer: 16940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2414*u - 91 = 2401*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {j: 2, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 3. Let o be a(-3). Suppose q + 3*q - 48 = o. What is the remainder when 47 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 5*v**3 + 4*v**3)*(-1 + 1 + 1)*(-16 - 12 + 0).\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose -n*h = 3*c - 36, 3*h + 0*h = 4*c + 54. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 2\/3, 57, 15.19, 0.03, 3\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j = 2. Let l(y) be the second derivative of y**4\/12 - 4*y**3\/3 + 5*y**2 + y. Let p be l(7). Sort -4\/7, j, p in decreasing order.\nAnswer: p, j, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*s - 32, -5*i + 0*i = -s - 57. Are -2 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -0.04650583?\nAnswer: 4.95349417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**8\/4200 + p**6\/150 + 2*p**5\/75 + p**4\/20 - 4*p**3\/3 - 2*p - 3. Let f(s) be the third derivative of k(s). Factor f(y).\nAnswer: -2*(y - 3)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 3*m**7\/70 - 13*m**3\/6 + 5*m**2\/2 + 26*m. Let i(j) be the first derivative of q(j). Differentiate i(f) wrt f.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170\/(-8))\/(4285\/(-3428)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + 3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165405764 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1085, 1072, 1045, 998, 925, 820?\n\"Answer: -d**3 - d**2 - 3*d + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -1155*d**3 + 5770*d**2 + 16195*d + 70 = 0.\nAnswer: -2, -1\/231, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8280a20 - 0?\nAnswer: b8280a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -10. Suppose -h + p*h = 10. Solve -3*j + h = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 9*a**3 - 4)*(-3585 - 73*a + 3585) as k*a**2 + g + o*a**4 + p*a + b*a**3 and give o.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 5. Let g = 0.02 - -1.98. Let z = g - 4. What is the closest to z in o, -0.3, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, 2\/151, -1\/5, 37?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + 0.08. What is the closest to -0.1 in -2\/3, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 12.61.\nAnswer: -12.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -80883.2 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {w: 7, a: 8, l: 4, f: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*9\/(-3) + (9 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = i - 4*s + 2*s, 3*s = -3*i + 213. Is i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 = -2*l - 2, -5*v + 30 = 2*l. Let b(t) = t - 3. Let x be b(5). Let q be 2*x\/(-4)*-1. Put -3, q, v in increasing order.\nAnswer: -3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79104 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7072 is divided by 120.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:46 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/4*6\/(-84)*16. Suppose -n - 36 = -4*n. Suppose -5*b = -b - n. Solve -1 = -a*h + b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1136 or 1137?\nAnswer: 1137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*1 - -2)\/1. Let i = 1 - p. Let q be (-1)\/(-1) + 0 + 2. Solve -i = -n, n = w + q*n - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = 5, 2*l + 4*j = 368. List the prime factors of l.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from vvvttvvvvtttvvvvvvt.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 (base 6) in base 2?\nAnswer: 101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -729900 + 730187. Let r = 275 + -137. Calculate the remainder when n is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 11:52 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5946*p - 5948*p - 2*o = 2, 11 = -4*p + 3*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -5*w**9\/252 + w**8\/84 - 113*w**5\/20 - 117*w**2. What is the third derivative of z(b) wrt b?\nAnswer: -1200*b**3 + 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2)\/((-6)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = -4*z, -2*l - 25 = -7*l - 3*z. Suppose -5*v + 2460 = l*j, 513 + 467 = 2*j + 4*v. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/27195 and -53\/444.\nAnswer: 108780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99666*u**4 - 14*u - 3309 wrt u?\nAnswer: -1195992*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1772.93 + 1899.5. What is n rounded to zero dps?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(75)\/sqrt(45))\/((2*sqrt(10)*4)\/sqrt(2)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 5*c**3 + 4*c**2 - 20*c.\nAnswer: -c*(c - 5)*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -4 + -4 + 5 + 8 + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 5\/71088879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7830, 1, 4 in ascending order.\nAnswer: 1, 4, 5, 7830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(162)*-1*4)\/sqrt(9))\/((sqrt(150) + sqrt(150) + (sqrt(150) + sqrt(150) + sqrt(150)*-3)*3)*-5).\nAnswer: 4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116122 - 71723. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25879649393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128 divided by -282.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 232003 (base 7) in base 9?\nAnswer: 62837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -19394.\nAnswer: -19404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -10. Which is the smallest value? (a) x (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30258 and 75?\nAnswer: 756450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 0.4. Let w = -2.9 - -3. Let y = 1.1 - w. What is the second biggest value in y, b, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350971\/113 greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*g + 23. Let y be 20\/(-12)*(-6)\/5. Suppose g*k - y = 4*k. Sort -3, k, 0 in increasing order.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let o(s) = -7*s. Let j(p) = o(p) - 5*q(p). Let l(u) = u - 2. Let g be l(-3). Let w be (-5)\/3*-2 - g\/(-15). What is j(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18489538 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9551315681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from ookopkk?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 441\/(-42)*148\/(-6). Suppose 254*d = r*d + 25. Suppose 2*b = 3*b - 2. Sort -4, -3, b, d in decreasing order.\nAnswer: b, -3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Suppose 1 - 3 = -m*w. Let h = w - -3. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 3 - (0 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187.969 - 188. Which is the fourth biggest value? (a) q (b) -3\/4 (c) 0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 + 2*u**2 - 3*u**2 + (1425*u - 3 - 2849*u + 1426*u)*(5*u - 3*u - u) to c*u**2 + f + g*u and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 6, 2786*c - 2*n = 2791*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.839806 times -11?\nAnswer: -9.237866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l + 12. Let c(k) = 5019*k**2. Calculate p(c(n)).\nAnswer: 35133*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.465 - 1.535. Sort 2, 32\/9, z.\nAnswer: z, 2, 32\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 144\/(-14) - 2\/(-7). Let a = 38 + -47. Let t = a - q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.7, -0.05, -45 in increasing order.\nAnswer: -45, -0.05, 2\/3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 8) to base 15\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901329537 is divided by 422?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let y = -22571 + 1376826\/61. Which is greater: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*z + 32*z + 10. Suppose 3656*q**2 + 4*q**4 - 3656*q**z + 2*q**3 + 2*q**5 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 + 124130440?\nAnswer: 124131113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 707908 to the nearest one thousand.\nAnswer: 708000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104 + 14 + 2)*(-8*d - d + 3*d) + (d + 0*d - 2*d)*(-4 + 1 + 1) + 0*d - 2*d - d to v*d + y and give v.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 324 = -4*t, 8 = 3*n - n. Let q = 90 + t. Solve 4*z - 3*b = 9, -4*b + 3*b = q*z - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 142 = 3*l, 97 = -2*p - l + 21. Let f = -36 - p. Solve 2*a = 2*v + 2, -2*a + 5*v = 6*v + f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + p**2)*(-1 - 2*p + 1) + (-2*p**2 + 0*p**2 + p**2)*(2*p + 5*p - 5*p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025655084 to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 5704.\nAnswer: 5693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 18 = j, -10 - 2 = -2*v + 2*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -16*b**2 + 0 - 25*b + 3\/2*b**3. Find the first derivative of a(y) wrt y.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 554285 - 37?\nAnswer: 55424e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -362.6998 - -362. Round n to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7457 and 50?\nAnswer: 372850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -33568720.\nAnswer: -33568720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(4\/(-14)*2030\/(-522))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 102, 322, 744, 1434, 2458, 3882?\n\"Answer: 11*g**3 + 2*g**2 + g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/(6\/57 + (-189)\/(-9576)). What is the nearest to -0.0319 in -2\/7, -4, d, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70970 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157844 + -10.3?\nAnswer: 157833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7056 or 7059?\nAnswer: 7059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*n - 3*d*n**2 + 785*d*n - 222*n**2 + 8 wrt d?\nAnswer: 4*d*n - 3*n**2 + 785*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2787*-74\nAnswer: 206238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -968 - -972. Let n(d) be the third derivative of -d**6\/120 - d**5\/10 - d**4\/6 - d**2. Let f be n(-5). Put 8, r, -2\/7, f in increasing order.\nAnswer: f, -2\/7, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18683 * 7.73.\nAnswer: -1.4441959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -804, -3, -21, 2 in decreasing order.\nAnswer: 2, -1, -3, -21, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1 + y + 0 + y - 3*y. Let d(u) = u**3 - 10*u**2 - 12*u + 13. Let k be d(11). Determine c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**3 + 55*u**2 - 56*u + 449. Calculate o(8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 9. Let l = -4369 - -4367. Calculate m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047670?\nAnswer: 2, 5, 13, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-15)\/3 + 6). Suppose z*q - 35 = -2*l, 4*l - 20 = -q + 75. Calculate the greatest common factor of l and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let t(o) = o**2 + o. Suppose 11*y - 9*y = -594. Let g = -294 - y. Give g*v(k) - 3*t(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 20, -2\/5, 0.9 in ascending order.\nAnswer: -2\/5, 0.9, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 7, -3, -5, -0.2, 5.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7753, -7754, -7755, -7756?\n\"Answer: -c - 7752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2\/3*k**3 + 0*k**2 + 2 + 1\/360*k**6 - 1\/24*k**4 + 0*k + 1\/24*k**5. Let x(o) be the third derivative of p(o). What is x(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20395*q - 15104 wrt q.\nAnswer: -20395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - -78 - (6 + -19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 1196424.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.013888 or 2051?\nAnswer: 2051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -433 + 441. Solve 20*p - h*p = 36 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.731 to 0 decimal places.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*t + 14 = 0, -64*l - 6 = -66*l - t. Solve -2*r - 7 = 4*v - 5*v, -4*r = -l*v + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*s + 10 - 22 = 3*c, 11*s - 30 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/582 and 13\/9144.\nAnswer: 886968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*u - q, -5*u + 0*q - 5*q = -5. Suppose -5*a = -u + 28, -48 = m + 4*a. List the prime factors of (m\/(-5))\/((-3)\/(-15)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*q - 0*q + 13, q + 1 = -5*u. Let v be 1*u*(3 + -3). Let b be 3 + (v\/(-1))\/(-3). Solve 2*k - 9 = b*r, 3*r = -7 - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 1662*y**3 + 4*y + 2260*y**3.\nAnswer: 598*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-16) + 2 + 0 + -4. Solve -u*a - 3*i = i + 4, -a = 2*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 3. Let f be v(-5). Find the common denominator of (-268)\/12 + (-3)\/f and -49\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*m - 296*m = 164*m + 9775 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - sqrt(1375)*2 - sqrt(1375) - sqrt(1375))\/(1*sqrt(176)).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t. Calculate j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 742026 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 - 2*m + 12. Let i(y) = 5*y**3 - 3*y + 11. Let w(l) = -2*i(l) + 3*v(l). What is the derivative of w(p) wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4122281027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 107890 to the nearest one thousand.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, 3 in ascending order.\nAnswer: -19, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6)\/4 - (-528)\/(-96)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19048, 19043, 19036, 19027, 19016?\n\"Answer: -s**2 - 2*s + 19051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 21*i**2 - 45*i + 23. Let t be x(-23). Does 6 divide (147 - (t + -1)) + (-31 - -28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-2)*(-7344)\/24480*(-1)\/2.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((52\/260)\/((-2)\/12))\/((-15)\/((-1050)\/868)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 2 + -3 + 5. Suppose z + 348 = u*z. What is the remainder when z is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 20 - 7*n**2 - 42.\nAnswer: n**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887891.8 centuries to millennia.\nAnswer: 88789.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -6 in descending order.\nAnswer: 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-7)\/(-84)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2682911 to four decimal places.\nAnswer: 0.2683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 133105780*o**2 - 2*o + 2*o - 133105799*o**2. Let d(b) = 8*b - 2*b + 2*b. Give i(d(x)).\nAnswer: -1216*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 - 29*g**3 - 90*g**2 - 96*g - 32 = 0?\nAnswer: -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2474 by 90.\nAnswer: 1237\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1981 and 10564673?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3029000 and 33\/3029000.\nAnswer: 3029000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14596, 32519, 53786, 78403, 106376, 137711?\nAnswer: 172414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -35. Let o = i + -20.5. What is the closest to 1 in -0.3, o, 0.13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 11:17 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 230762 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -3*z. Let s = -30997.4 + 30997.1. What is the fourth smallest value in s, 1, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004762 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-10) + -77 + (-732054)\/(-9180)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + -1 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*r = 4*r - 148, -r = -5. What is m rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 1, t: 2, x: 1, q: 1, e: 2}. Give prob of picking 1 n, 1 e, and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 26*q + 149.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 3\/2*n**4 + 2*n**3 - 3\/5*n**5 - 3*n - 1\/2*n**6 - 5 - 3\/2*n**2. Factor d(f).\nAnswer: -3*(f - 1)**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10339718.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(450)\/sqrt(441) + (sqrt(550) + -2*sqrt(550)*-4)\/sqrt(11))**2 + -4.\nAnswer: 1280*sqrt(2)\/7 + 204800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-64)\/210 - 8\/(-20). Suppose 0 = 277*b - 280*b. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284694?\nAnswer: 2, 3, 23, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -10b?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, w: 4, d: 2, o: 3}. Give prob of picking 1 y, 1 o, and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3109.824 rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -107567*0.1\nAnswer: -10756.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023020300 (base 4) to base 7.\nAnswer: 4562346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1494, -1492, -1498, -1512, -1534, -1564, -1602?\nAnswer: -1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*f**3 - 13*f**4 + 19*f**3 - 147*f**2 + 3*f**5 - 47*f**4 + 15*f**4 = 0 for f.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 11346. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - -115 - (-4 - -5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1499.1 - -147.1. Let h = -1352.1685833922 - -0.1693163922. Let y = h - g. What is y rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.77581 + 5.7.\nAnswer: 21.47581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6*x + 5*u + 21, 0 = 5*x + u + 42. Let o be (-29)\/x + (-10)\/45. Let g(j) be the third derivative of -j**4\/8 + j**3\/2 - j**2 + 7*j. Calculate g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617394549?\nAnswer: 7, 11, 23, 233, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4\/2 - g**3 - 3*g - 1. Let k(r) = 0*r**3 + 5 - 6 - r**2 + r**3. Determine j(z) - 3*k(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 411635.07 seconds in hours?\nAnswer: 114.343075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**2))**29)**(-15)*((x\/x**(-1\/4))**(1\/14))**41 assuming x is positive.\nAnswer: x**(-48515\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122081023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2) - (-8 - (-89)\/4)\/((-30)\/200)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 106. Calculate the remainder when 205 is divided by n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641809509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 2:28 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q - 4*q + 1 - 1 - q + (0 - 1 - 1)*(0*q - 2*q - q))*(2*q - 3 + 3)*(4 - 2 + 1).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36, 112, 228, 378, 556, 756?\n\"Answer: -p**3 + 26*p**2 + 5*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 3*q + 4*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -1240, -4173, -9880, -19285, -33312?\nAnswer: -52885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**2 + 2*m. Let h(d) be the second derivative of d**4\/12 - d**3\/6 + 7*d - 17. Give 2*h(y) + v(y).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -35*f + 283. Determine b(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/3 - 40\/(1 - 9). Suppose 0*s = s + c. Which is smaller: 2\/163 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107728310*l**2 - 139624391*l.\nAnswer: -215456620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h + 5289. Let d = h + 160435\/91. Is -1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by 213613.\nAnswer: -129\/213613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 + -352?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c = 15193 - 15561 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0)*(-225 + 229 + 1 + 12)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1974 and 1723866?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 4, g: 3}. What is prob of sequence rgd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138.8922 - 1.9298. Let h = 141 + f. Round h to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 3*y + 3*y)*(-6 - 3 - 1)*(48 + 86 + 5).\nAnswer: 4170*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:13 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*u - 8 = 23, -2*u = -s + 2. Let r be (-3)\/(-4)*(s\/6)\/2. Which is smaller: r or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496.615603 rounded to the nearest ten?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 1. Let n be i(-1). Let k be (-4)\/(-14) - 36*(-8)\/21. Suppose -10 = -5*l, 2*t = -l + n - k. Let y(q) = q**2 + 7*q + 5. Determine y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k - g, k + 3 = 2*g + 4. Suppose -2*a = 3*a + k, 5*q + 2*a - 118 = 0. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 10, w: 6}. Give prob of picking 2 w.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11*(16 - (-54666)\/(-66)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i - 24. Let o be c(-3). Solve 10 = o*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 12*m + 16. Let r be q(7). Let s be (3 - 0) + (3 - 2). Suppose -p + s*n - 7 = 0, -n = -4*p + 20 + 12. Solve 0 = j + r*j + p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or 1607?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113834 is divided by 164.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6*(-18)\/(-12). Let z be ((-3)\/(-1))\/((s - 4) + 8). Suppose j + z = 160. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 0*b - 2*b**2)*(-2 + 2 - b) + (-2*b + 20 - 2 - 5 - 3*b**3)*(-11 - 16 + 20) to the form w + g*b**3 + h*b**2 + o*b and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**6\/40 - 3*j**4\/8 - 11*j**3\/3 - 4. Let r(h) be the third derivative of y(h). What is the derivative of r(c) wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1216)*-3)**2.\nAnswer: -240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68847 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 713222154 to the power of 1\/2, to the nearest integer?\nAnswer: 26706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c + 3*c)*(0 - 1 + 0) + 1 + 6*c - 1.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 41*d**2. Let o(b) = 2475926*b**2. Calculate q(o(m)).\nAnswer: 251338591856516*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3.08 (b) 5 (c) -3 (d) -0.2 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101010001111?\nAnswer: -101010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*y - 26, -16 = -5*z - 2*y + 2. Suppose 4*q + 2*l = 110, 2*q + z*l = -l + 53. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1*n)\/n)**(5\/3)\/((((n\/n**3)\/n)\/n*n)\/n**(3\/4)))\/(n**(1\/3)*n*(n*n**(-2\/27))\/n*n*(n**3\/n)\/(n**(3\/8)\/n)) assuming n is positive.\nAnswer: n**(115\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 266, -4 in descending order.\nAnswer: 266, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 93643 - 11768. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245533 (base 7) to base 16.\nAnswer: b092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c + 4822 - 12607. List the prime factors of c.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 37585*t - 225330.\nAnswer: -5*(t + 6)*(t + 7511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:42 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, 1, 1\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8400?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 - 14 = 5*w. Suppose 0 = 2*p - 13 - 9. Calculate the greatest common factor of p and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -418.6 - -417.6. Is 35.4 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11231392\/11053 + 7113\/7. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7631423471 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 24 = 0. Let m be -1 - (-6 + q\/2). Let v = -3 - -9. Solve -v*a = -m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -1\/3, 1\/2, 21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-170)\/4)*(-1710)\/(-72)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4510*t**2 + 9023*t**2 + 23 - 4514*t**2.\nAnswer: -t**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/24*(45\/40)\/(17625\/(-4000)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/45 (b) 1\/16 (c) -1130 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519.07 + -3862?\nAnswer: -342.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4489\/4 + -1122. Which is the third smallest value? (a) -3\/4 (b) u (c) -689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 9. Let g be w(10). Suppose -a = g - 4. Let k be (-2650003)\/5 - a\/(-5). What is k rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 967, -3, 1, -2, -5 in decreasing order.\nAnswer: 967, 4, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**5 + 3*n**4 + n + 3. Let j(u) = -10*u**5 + 5*u**4 + 3*u + 5. Let p(d) = -3*j(d) + 5*t(d). Find the second derivative of p(k) wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-20)\/16). What is the nearest to h in 3, 1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 + -36 + -5 + 33\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13059 and 692127.\nAnswer: 692127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 654 divided by -6\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 7. Let g be f(0). Suppose -15 = -b + 3*w, 4*b - g*w - 25 = -2*w. Put b, -4, -0.2, -1 in descending order.\nAnswer: b, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - p**2)*(4*p**2 - p**2 - 2*p**2) - 3*p**2 + 3*p**2 - 5*p**4 - 3*p**4 + 2*p**4 + 3*p**4 + 0*p**4 + p**4 - 7*p**4.\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*h = 28, 4*c + 2*h = -6 - 8. Let a(k) = 3*k**2 + 2*k + 4. Let j(z) = z + 0*z**2 - 4 + z**2 + 1 + 4. Calculate c*a(d) + 2*j(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 3*q + 3*q)*(2*q + 4*q - 4*q) - q**2 - 8*q**2 + 25*q**2 + (4*q + q - 3*q)*(-4 - 2*q + 4).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 - 1.7. Suppose 3*i - 5 = -2*i. Let r = -2 + 5. Which is the nearest to i? (a) r (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10057 + 10059. Let b(h) = h**3 + 2*h**2 + 2*h - 1. Give b(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 8. Let d = v - -6. Suppose d - 1\/3*g + 3*g**4 - g**3 - 5\/3*g**2 = 0. Calculate g.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2671 to the nearest 10.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 8 - 2)*(2*o + 2*o - 6*o + 2) in the form n + z*o and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8956 and 18868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227224 (base 9) in base 11?\nAnswer: -416926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10925 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 13*u**5\/2 + 107*u**4\/4 + 21*u**3\/4 - 107*u**2\/4 - 47*u\/4 = 0.\nAnswer: -47\/13, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-1926)\/(-214).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 0*m**2 + 3*m**2 - 2*m**2 + 2*m**2 + 4. Let y(j) = j**2. What is c(y(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16)**(2\/9)*(r*(r**(-2\/7)\/r)\/r)**10 assuming r is positive.\nAnswer: r**(-586\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4, 0 = 12*s - 8*s - 3*w - 17. Is 0 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -284815576.3 to the nearest one hundred thousand.\nAnswer: -284800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-496)\/128 - 1\/(3\/(-12))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 - -251. Suppose -2*l = -h*f - 947, 3*l - 305 = -3*f + 1138. List the prime factors of l.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1112322+0.063893\nAnswer: -2.0473392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)*p**9 assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1\/4 (b) 1 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -1) + (-7 - (21 + -43))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/195 - (-1)\/(-5)*-14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6209703\/11 or -564518?\nAnswer: -564518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 165*c**2 - 1704*c - 1536.\nAnswer: 3*(c - 64)*(c + 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*v + 36, -3*x + x = v - 12. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079 equal to 32741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 3:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - k + 4*k + 13 - 2*k to d*k + l and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/16 - 26*n**5\/15 + 143*n**4\/12 + 20*n**3\/3 - 2*n**2 - 1038*n - 2. Find m such that c(m) = 0.\nAnswer: -2\/15, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 12*p - 2. Suppose 2*a = -10*a - 36. Give d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2005541*w**4 + 2034936*w**2?\nAnswer: -48132984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1828 = -q + 5*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4058 = 827*m + 273*m - 302*m + 3922 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 5*l. Let g be h(6). Suppose 26*u - 25 = 21*u. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87 + 479*s - 154*s - 161*s + 639 - 166*s as x + b*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*c**2 - 131*c**2 + 52*c**2 + 143*c - 142*c as p*c + q + l*c**2 and give l.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3781305707 and -0.3.\nAnswer: -3781305707.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001918 to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w = -142*w + 7119 - 1368 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**4 + r**3 - r**2 + r - 1. Let b(w) = -731*w**4 - 245*w**3 + 380*w**2 - 102*w + 10. Let u(g) = 2*b(g) + 4*v(g). Factor u(a).\nAnswer: -2*(a + 1)*(9*a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*u**2 + 47*u**2 + 36*u**2 + 68*u**2 + 31*u**2.\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**2*s - 4*b**2 + 4*b*s + 23 wrt b.\nAnswer: 14*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 11 = -0*k. Let w(l) = l**3 - 3*l**2 - 5*l + 7. Calculate the remainder when w(5) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by -116.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -287101 divided by 4\nAnswer: -287101\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24645, 24096, 23547?\nAnswer: 22998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120818 (base 11) to base 10.\nAnswer: 191320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - (-6 + 6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/(-1848))\/(-4 + (-1366)\/(-343))?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-9 - -1)) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1\/4, 0.2, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02416 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 3*v + 2*v)*(0*v + 3*v - 5*v + (-2 - 1 + 1)*(0*v + v - 3*v) - 19*v + 24*v + 21*v).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 6*n**2 - n + 5. Let a = 109 + -115. What is the tens digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345460236 divided by 4\nAnswer: -86365059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v - v)*(-1 - 121*v**3 + 2665800*v**2 - 2665800*v**2).\nAnswer: 242*v**4 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 11:26 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y - 10. Let g(z) = 3*z - 5. Determine 11*g(d) - 4*p(d).\nAnswer: d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k - 20. Let q be c(-5). Solve s + r = 2, 3*s + 5*r - q = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = 2*a - 38*w - 130, 0 = -5*w - 20. Suppose 87*j = 16*j + a. Let s = 0.07 - -3.93. What is the third smallest value in -2, s, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0010255024 and 1.7089.\nAnswer: 1.7099255024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/5 - -19\/30. Suppose -5*t - 2 = -2*v + 6*v, 4*t = -4*v - 4. Let r be 1 - 20\/15*v. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1388 and 2524078.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.92 - -0.18. Let v = -0.1 + s. Let n = -10 + 12. Put v, n, -2\/7 in descending order.\nAnswer: n, v, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(228)*3*-4)\/(6*(6*sqrt(588) - sqrt(12))).\nAnswer: 12*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + m = -3*t + 63, 343 = -12*t - m for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 - 5*v**3\/3 - v**2 - v. Is b(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + b**2 + b - 15. Let l = -907 - -907. Calculate w(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318486337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 1, m: 2}. What is prob of sequence lmmg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5927 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103\/2 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89789572, 89789573, 89789574, 89789575, 89789576?\n\"Answer: c + 89789571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**6\/72 + p**5\/4 - 15*p**4\/8 - 8*p**3 + 30. Let h(o) be the third derivative of k(o). Factor h(d).\nAnswer: -5*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 + 7 = 0. Suppose -5*v - 35 = -0*h + n*h, 0 = -4*v + 2*h - 50. What is the units digit of 8\/(-20) + (-14)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101 - -11?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13176801 to the nearest integer?\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-24 - (-49 + 0)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6717 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -3 - 5 - 8) + 8 - -35\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 34. Let c = 4 - q. Let a = 32.9999905 + c. Round a to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/27437 or -1?\nAnswer: -3\/27437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26196521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 9, y: 2, l: 5}. Give prob of picking 2 l and 2 w.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*(0 + 4). Let z be (b\/9)\/(3\/18). Find the common denominator of 7\/4 and (z\/6)\/(60\/(-873)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 469152323 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 6*y**2 + 8*y + 20. Determine s(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 24 = 2*y, 5*s - 5*y = 3*s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1. Let c(x) = -x + 0*x - x - 6. Let b be (2*-1 - -7)\/1. Determine b*p(r) + c(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 2.4451?\nAnswer: -2.4451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 78*i**3 + 14 - 70*i**3 + 12 - 4*i**2.\nAnswer: -148*i**3 - 2*i**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0*a**3 + 4*a**2 + 0*a**4 - 77\/20*a**5 + 0 - 30*a. Differentiate n(g) wrt g.\nAnswer: -231*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/(-7))\/1)\/((-117)\/(-364))*(-308)\/(-385)?\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.91 + -0.09. Let n = 1 - 0.8. Let z = -14 + 13.9. What is the closest to z in a, n, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.362 or -0.29?\nAnswer: -0.362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*s = 56, 126*w - 5*s - 52 = 122*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 27 = 3*u - 3*y, 3*u + 11 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-155))\/((-1)\/3253) - (-3218)\/49879\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 40900?\nAnswer: 40899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(8) - -2*sqrt(800)))\/((sqrt(16) - sqrt(4) - sqrt(4))*-4 + sqrt(100)*4).\nAnswer: sqrt(3)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = -14. Suppose -u*f + 5*i = 5 - 33, -14 = -3*f + 2*i. What are the prime factors of 6\/(-10)*(-20)\/f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2328*k - 422 + 1 - 2326*k)*(k**2 - 5 + 5).\nAnswer: 2*k**3 - 421*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-708)\/195 - (-3280)\/(-4264)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 - -0.71. Which is the nearest to 1? (a) 2\/7 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1600*d**3 - d - 1. Let r be b(-1). Let v = -50280 - -97439\/2. Let u = v - r. Find the common denominator of -29\/18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*v, -v = 3*r - 0*r. Suppose -14 = -4*n + 2*s, -4*n + 9*s - 4*s + 5 = v. Let t = 29 + -18. Calculate the smallest common multiple of n and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00274655 to five decimal places.\nAnswer: -0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-45))\/(12\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48596, 62964, 77332, 91700, 106068?\n\"Answer: 14368*x + 34228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - b - 4*u = -29, -u = -4*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8493, -16978, -25455, -33924, -42385, -50838?\n\"Answer: 4*s**2 - 8497*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = t - 5, -l = 4*t - 2. Let x(a) = a**2 + 5*a - 5. Let z be x(2). Suppose -2*c - t = z. Which is greater: c or -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 1240?\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, h: 3}. What is prob of sequence hpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4379 and 11325?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1551 and 118173.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1071*d + 3. Let o(u) = -31*u. Calculate o(x(t)).\nAnswer: -33201*t - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/29)\/(i\/(i\/(i**2\/i))))**(1\/3) assuming i is positive.\nAnswer: i**(-9\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2)**(-2\/33)*o**(-1\/5)\/o*o\/o**(-2\/15)*(o**(1\/2))**9\/((o**(1\/3)\/o*o)\/o)**(-3\/20) assuming o is positive.\nAnswer: o**(137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let w(d) = -150989*d**2 + 291*d + 3. Calculate w(o(c)).\nAnswer: -150989*c**4 + 291*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1\/170*w**5 - 1\/34*w**4 + 2\/51*w**3 + 0*w**2 + 1\/85*w**6 + 2*w - 1\/357*w**7 + 0. Solve y(v) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - -1) + -3)\/(-1). Let d = -897 - -891. What is the smallest value in 0.5, u, d, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 3*y. Let h be d(-3). Let s = 6 - h. What is the third derivative of -n**2 - 2*n**6 - 5*n**s - 2*n**2 wrt n?\nAnswer: -840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -205*i - 1459 + 861 - 5335 - 1242 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*t**4 - t**2 + 165*t.\nAnswer: -3108*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34313119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210 and 550?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2207*n + 895 = 2*f + 2202*n, -3*n = 2*f - 903. Calculate the remainder when f is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -16*d - 17*d**2 + 21*d + 16*d**2 + 12. Let q be w(6). Let t = 11 + -6. Solve -r = -t*f - q, 3*r = r + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 23*n**2 + 11*n + 10. Let q be -1 - -4*77\/140 - 54\/(-5). Give p(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802798632 to the power of 1\/2, to the nearest integer?\nAnswer: 42459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74049422 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -4. Suppose 48*d - 3*d - 3915 = 0. Is 22 a factor of d + -3 + 5 + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 2*v. Let i be r(0). Solve 2*f = -i*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**2 + 3. Let q(u) = u**3 + 3*u**2 + u. Let i be q(-2). Let h(b) = -3*b**2 + 0*b**2 + b**i. Determine h(l(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.351 - -0.991. Put i, 2, 3 in decreasing order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2. Let k(t) = 2*t - 2861. What is v(k(z))?\nAnswer: 12*z**2 - 34332*z + 24555963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6326922.\nAnswer: 2, 3, 7, 97, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382560874.\nAnswer: 2, 9041, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5237*u**2 + 5488*u**2 + 687*u**2)*(-5*u + 2*u + 4*u) in the form k*u**2 + x*u + a*u**3 + o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9413 (base 14) to base 8.\nAnswer: -61631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -249, 0.1, -2122, 1, 1\/4, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -418*j - 9190. What is the least common multiple of 140 and v(-25)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))**(24\/11)\/(u**(2\/7)\/u)**(-47)*((u*u**(-8)*u*u)\/u)\/(u*u*(u\/(u\/(u\/(u*u*u**(-5))))*u*u)\/u)*u*u\/(u**(-1\/4)\/u)*u\/u**0 assuming u is positive.\nAnswer: u**(-1185\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -537.848 - -538. Let b = 2.848 + m. Suppose k = -5*l + 20, -k - 4*k = 0. What is the second smallest value in -1, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25712 is divided by 1980.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8.7828, -0.051, 0.3?\nAnswer: 8.7828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111110111001001110 + 110?\nAnswer: -1101111110111001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157237 or -157436?\nAnswer: -157436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3, m: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*k + 44*k - f - 95, 3*f = -6. Let y = 6 + -17\/3. What is the second biggest value in 0.2, k, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**5\/15 - 10*m**4\/3 + 37*m**3\/3 - 5395. Determine k so that l(k) = 0.\nAnswer: 0, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 62. Sort -1, -5, c in descending order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - a + 1674. Let n(z) = -9*z**2. Determine v(n(c)).\nAnswer: -243*c**4 + 9*c**2 + 1674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*a = 1651*a + 12274 + 25102 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32263, -3, -4, 2.\nAnswer: -32263, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 156*q - 21797. What is m(139)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 11*n + 10*n**3 - 19*n**3 + 8*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)*x*x**47\/x assuming x is positive.\nAnswer: x**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 10*j - 4. Calculate the remainder when g(-8) is divided by (-9)\/((-162)\/9)*-4*(-133)\/38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h**2 - 1 + 1\/3*h**3 - 1\/3*h**4 + h + 1\/10*h**5. Let t(i) be the first derivative of s(i). Factor t(j).\nAnswer: 2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-1 - (-4 - (-11 + 2 + 4)). Put 182, -4, v in decreasing order.\nAnswer: 182, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0756 - -0.00382. What is d rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 715\/231 - (16\/(-42))\/(-4). What is the greatest common factor of 12 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.556 and -92364360194.\nAnswer: -92364360193.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 6:38 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/30 (b) 6\/11 (c) 7149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238925221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -29274529 divided by -1\nAnswer: 29274529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 11*k - 4. Let u(x) = 8*x**2 - 22*x - 9. Let t(m) = 9*d(m) - 4*u(m). What is the second derivative of t(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - y + 2*y + (-833*y - 426*y - 215*y)*(-2 - 1 + 5) + (-y + 4*y - 5*y)*(0 + 2 - 1) as w + i*y and give i.\nAnswer: -2948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*f - 68, 0 = -3*l - 2*f + 3*f + 34 - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 399*g - 28. Let l(w) = 199*w - 13. Give 7*l(a) - 3*r(a).\nAnswer: 196*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 0*t + 2*t)*(2*t + 2*t - 2*t) + 4*t**2 - 2*t**2 + 0*t**2 - 3*t**2 + t**2 + 0*t**2 + (t + 0 + 0)*(3*t - 5*t + t) as m*t + q + r*t**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 850326 and 74590.\nAnswer: 4251630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(448) + sqrt(448) + -3 + -2*sqrt(7).\nAnswer: -18*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Suppose 4 = z - 5. What is the units digit of g\/6*z\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 2\/7 (c) -0.562\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 466300079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4612600 and 72?\nAnswer: 41513400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 8 = 3*f, -2*f = 5*v - 516 + 491 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -79.5. Sort -30, -1, x.\nAnswer: -30, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 28. Determine m(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 - 723373*a**3 - 3*a**2 + 99174322 with respect to a.\nAnswer: 8*a**3 - 2170119*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3843)\/12810*(-580)\/9)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {o: 2, r: 3, w: 4, v: 2, k: 2, t: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-30 + 57 - 69)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 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 0 = 5*y - 4*k - 3, -5*y - 6*k + 4*k = -21. Suppose y*x - 4 = 2. Let i be x + (-2 - (-15)\/6). Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.778 - -0.178. Let g = 15.6 + p. Sort -0.2, g, -0.4, 0.\nAnswer: -0.4, -0.2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1056 greater than -4219\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -37*l - 11. Let i(y) = -56*y - 17. Suppose -11*j + 6462 - 6407 = 0. Calculate j*i(w) - 8*s(w).\nAnswer: 16*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 914, 985, 1088, 1223?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z + 11*z + 10*z to the form i*z + t and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (7 + 69 - 40) + -87\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/6)\/(16 + (-130)\/8). Let o(y) = 6*y + 9. What is o(u)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.832 rounded to one decimal place?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*v = 5 - 2, -13 = -5*c + 2*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 2:36 PM?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/1600 and 25\/12.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661464926?\nAnswer: 2, 3, 11, 29, 96451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.001203 + 459.979097. Let b = s - 466. Round b to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -2044?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -4*r + 55. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 92*r**2 + 3*r.\nAnswer: -92*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1026 divide 27960248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -148511 (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, b: 1, t: 4, o: 3}. Give prob of sequence ttt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:23 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38841, 38772, 38663, 38520, 38349, 38156?\nAnswer: 37947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.055 times -5\nAnswer: -30.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -45\/274?\nAnswer: -45\/274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 4. Let u be c(-5). Is u at least 2\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 5*g**9\/6048 + g**8\/420 + g**7\/1680 - g**6\/360 + 2*g**3 + 13. Let t(p) be the third derivative of r(p). Factor t(l).\nAnswer: l**2*(l + 1)**2*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -109, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -0.853.\nAnswer: -1.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/18 in -1.265, -17, -4?\nAnswer: -1.265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 4*c**2 + 4*c + 4. Let p be h(-4). Let a be (-40)\/p - 6\/(-9). Let b be a - (1 + 1)*8\/16. Solve -2*y + 5*j - 20 = 0, -j = 3*y - 2*y + b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45\/2 - -70\/3. Suppose 0 = 4*m + 35 - 79. Suppose 2*o = 2*i - 2, 4*i + o - m + 12 = 0. Which is bigger: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 0.5, 2\/91, -2\/7?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12)*19 - 7\/28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10356494, -10356495, -10356496, -10356497, -10356498?\n\"Answer: -n - 10356493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13461.\nAnswer: 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z**2 - 2*z - 1. Let y be i(-1). Let t = -3 + 7. Does 11 divide (y\/(-6))\/(t\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 7*a. Let u be n(5). Let t = 6010 - 36181\/6. Calculate the common denominator of (-1)\/(-2) - u\/(-44) and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38191481 at most -38191494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53.1 - 53. Let m = -0.3 - -5.3. Let d = m + -8. Which is the closest to y? (a) -0.3 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825.9405um to millimeters.\nAnswer: 0.8259405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 2369.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*o**2 + 81*o**2 + 27*o**2 to b*o + u + k*o**2 and give k.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/6)\/((-4)\/6). Suppose 0 = 7*x - c*x - 15. Is 4 + -5 - (-336)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*f + 6. Let n(m) = -8*m**2 - 7 + 28*m**2 - f + 8*m. Let q(o) = 7*o**2 + 3*o - 3. Give 3*n(p) - 8*q(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 2)\/((-14)\/((-12320)\/8)) is divided by 74.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6600 - 1712.\nAnswer: 4888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, 10, -4.\nAnswer: -5, -4, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1280 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m)**(-26)\/(m\/(m**(-1\/10)*m*m)*m\/((m\/((m\/(m*m**(-1))*m)\/m))\/m*m)*m) assuming m is positive.\nAnswer: m**(1549\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3989 - 78*p**2 + 3989 in the form r*p + z + v*p**2 and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let s(y) = 66*y. Determine 126*f(c) - 3*s(c).\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z + 2*c - 5*c, -5*z + 20 = 5*c. Suppose -z*a + f + 34 + 15 = 0, 0 = a - 4*f + 2. Let b be (-38)\/(-6) - 6\/a. Let s(w) = -w**2 + 7*w + 2. Give s(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((2*sqrt(22)\/sqrt(2) - sqrt(11) - sqrt(11)) + 0 - -6*(sqrt(1584) + -1))*-4)**2.\nAnswer: -497664*sqrt(11) + 32866560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -2 (c) -5 (d) -2\/5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 212. Let l = 211 + c. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4 - 2 + 4 - 4*n. Let c(t) = 34 - 584*t + 581*t - 29. What is -3*c(z) + 2*u(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*d - 97*d - 2*q + 14, -3*d - 4*q + 3 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -65. Let d(w) = w + 0*w**2 + 2*w**2 - w**2 - 4. What is the units digit of d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 971*p**8\/336 - p**7\/210 - 9*p**5\/4 + 2*p**3\/3 + 861*p**2. What is the third derivative of z(x) wrt x?\nAnswer: 58260*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35127 - -53326. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695812 is divided by 173952.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 78 - (-12 + -7 + 3 - (86 - 95))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.59 + -0.03. Let r = -48.88 + k. Let u = r - -50. Which is the second biggest value? (a) 2\/11 (b) u (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 + 52*u**2 + 306*u = 0. Calculate u.\nAnswer: -17, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.31849 (b) -3 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 50 + -64 + -57.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (0 - 28)\/(-2). Suppose 0 = -4*j - x + 51. Let h = -1 + 18. Calculate the remainder when h is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 134, 114, 86, 50, 6, -46?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3656710 to the nearest 10000.\nAnswer: 3660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**2*y + 20865*m**2 + 120*m + 6878743*y wrt y.\nAnswer: 3*m**2 + 6878743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*k + 164. Let o be ((-12)\/6)\/(2\/k). Let h = 85 + o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/112125 and -34\/12825?\nAnswer: 19173375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 greater than or equal to -9\/491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83175832, -83175826, -83175816, -83175802, -83175784, -83175762?\n\"Answer: 2*j**2 - 83175834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 59549.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2457)\/(-5733)*(-14)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357147, 357157, 357167?\nAnswer: 357177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, m: 1, n: 1, s: 2, w: 2}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igkgticcczzcizkt. What is prob of picking 2 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = -39*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8586040*n**5*p + 36*n**5 + n**2*p + 5*n**2 + 174*n*p - 3*p + 419 wrt n?\nAnswer: 515162400*n**2*p + 2160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1508757 = 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (1*-2)\/((-30)\/2895) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98 - 108 - 65)*(-2*d + 1 - 1).\nAnswer: 542*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 33*a**2 - 15*a - 5. Is r(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/6)\/(3\/(-9)). Let k = 10 + c. Suppose -25 - 30 = -k*g. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:50 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4690)\/1940)\/67*(-32)\/56.\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Let y(h) be the first derivative of -h**3\/3 + 3*h**2 - 7*h - 496. Let i be y(v). Solve p = -4*n - 15, -8 - i = 2*n - p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 168288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Suppose -k - 3 = 2*l, -2*l + 5*l = -s*k - 8. Let h be (1 + -1 + k)*-26. Solve h - 10 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*j**3 + 111*j**3 + 14*j**3)*(2*j - 5*j - 4*j).\nAnswer: -462*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -23, -33, -47, -65?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -920 - -870 - (-1 + -2 + -18)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.366 and -118335?\nAnswer: 43310.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0 - v + 0*v**3 + 1\/6*v**4 + 0*v**2. Let w(a) = 0 + 0 + 4*a. What is r(w(h))?\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 51*x**4 - 261*x**3 + 234*x**2 - 24*x = 0.\nAnswer: 0, 2\/17, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36332 is divided by 266.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z + 1. Let c be (-5)\/10 + (-63)\/2. Let m be c\/48 + 10\/6. What is i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - 5*f = -11, 0 = -5*f + 5. Let i be 0 + (0 - (-3 - h))\/(-1). Suppose i = 2*c - c + 5*g - 790, 2 = g. Round c to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*k + r + 6, 0 = -r + 2. Let u = -0.05 - 1.95. Let q = -1.7 - u. Which is the closest to -0.1? (a) k (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9*r + 3*r = a + 113, 69*r + a + 1585 = 0 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -568 + 7835883.\nAnswer: 7835315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 1\/360*h**5 + 0 + 0*h - 33*h**2 - 1\/6*h**4 + 4*h**3. Determine w so that m(w) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 2*m + 5. What is the remainder when r(4) is divided by 0 + 264\/20 + (-3)\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 - 2981*w**2 - 1929473*w\/2 - 80313532.\nAnswer: -(w + 169)**2*(w + 5624)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.052 rounded to the nearest integer?\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*m - 65 = 0, 11*s - 59 = 7*s - m. Suppose -23*f + 20*f + s = 0. Solve -3*a - 2 = 2*n + 17, -f*n - 22 = -a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 + 10*d - 124 to o + z*d and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6003, -12066, -18129, -24192, -30255?\n\"Answer: -6063*x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110302 (base 6) to base 3\nAnswer: -110121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.112143 nanometers?\nAnswer: 0.000000003112143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-5 - 145\/(-30)). Let y = -8 + 3. What is the smallest value in y, 1, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107)\/(5136\/(-2240)) - (-24)\/(-9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524407535?\nAnswer: 5, 13, 199, 195161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-3) + 2\/(-3). Suppose 7*p = 2*p + h*q + 200, 5*q = 5*p - 205. Let k be p\/10 + 4\/10. Solve k*b = 3*t - 4, -24 = -5*t + 2*b - 4*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 14 - (-2 + 7 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - c**2 - 4*c**2 + 25*c**2 + 10*c**2 - 2*c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 182661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 7160*t**2 + 121174*t + 114016.\nAnswer: 2*(t + 1)*(t + 16)*(t + 3563)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91838545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -1247, -4163, -9837, -19187, -33131, -52587, -78473?\nAnswer: -111707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/270*(-13575)\/50 + (-2)\/(-60)*6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r + 3 = 0. Let j = r - 0. Sort -5, 1, j.\nAnswer: -5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:44 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 5*z + 29 - 46, -13*c - 3*z - 19 = -17*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 6. Let v(n) = -1. Let g(l) = q(l) + 6*v(l). Let h(t) = -2*t**2 + 2*t**2 + 3*t**2. Calculate h(g(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70784234 or -70784232?\nAnswer: -70784232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1506 (base 7) to base 2.\nAnswer: 1001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1650858178 to the nearest integer?\nAnswer: 40631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2. Let b(u) = 104*u**2 + 96*u - 48. Let a be -20*4\/(-10)*6. Let c(o) = 11*o**2 + 10*o - 5. Let v(x) = a*c(x) - 5*b(x). Determine v(p(f)).\nAnswer: 512*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20078 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 132941886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*h**4 - 211*h**2 + 73063.\nAnswer: 240*h**3 - 422*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 2 - 2*n**4 + 4*n**4 + 2*n**2 + 0*n**3 as z*n**2 + r + a*n**4 + u*n + q*n**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12052 (base 9) to base 5.\nAnswer: 224231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxwrrwwxwrxrxxw. What is prob of picking 2 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5 + 11*w - 3*w**2 + 4*w**2 + 10 - 2. Let l be y(-10). Suppose 0 = -u + 2*u + 2. Put u, l, -3 in decreasing order.\nAnswer: l, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4839, -19640, -44399, -79116?\n\"Answer: -4979*y**2 + 136*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**2\/5 + 57057*u + 570558\/5 = 0?\nAnswer: -95093, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 135 from -1.1.\nAnswer: -136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*k**2*y**2 - 2*k**2*y + 240*k**2 + k*y**2 - 9*k + y wrt y?\nAnswer: -434*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30598631, -30598629, -30598627?\n\"Answer: 2*s - 30598633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 244*j. Let r(v) = -555*v - 553*v + 1110*v. What is r(k(g))?\nAnswer: 488*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09389 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxxxbzxxxxxxxxxx. Give prob of picking 1 x and 1 z.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3 + 1. Let p be (-1)\/(-2)*(f - -39). Suppose p = i + 8. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -28. Let p = -50\/3 + f. Let t be (-6)\/(-15)*10\/(-38). Which is the second biggest value? (a) 2 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*v + 17. What is the third derivative of -2*g**2 + v*g**2 + 9*g**5 + 0*g**2 wrt g?\nAnswer: 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/4*((-15)\/6 + 3). Factor 0*m**l + 0*m - 2\/3*m**5 + 0*m**4 + 0 + 0*m**3.\nAnswer: -2*m**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*w**3 - 50323*w + 100641*w - 50318*w.\nAnswer: 69*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (10 - (18 - 16))) + (11 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25604244 (base 7) in base 11?\nAnswer: -135736a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let a(j) = 5161*j - 23933. Let p(u) = -172*u + 789. Let r(n) = 6*a(n) + 182*p(n). What is r(l(t))?\nAnswer: -338*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213 - -213. Let d be 23\/(-5) + 5 + (0 - 1). Sort d, o, -19 in increasing order.\nAnswer: -19, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 5962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008114159 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-718)\/(-6821)*1482\/12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 304, -0.4, 27, 50 in decreasing order.\nAnswer: 304, 50, 27, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*c + 196, 0 = -2*c + 4*c - 8. Let y = 148 - p. Do y and -68 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 12*o**2 - 127*o - 873. Give y(-14).\nAnswer: 1297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 11*a**2 - 16*a - 48. Let v be t(-10). Solve -3*u + v = 5*f, 3*f + u + 2*u = 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/30*-2*-5. What is the second derivative of -2*c + 0*c - r*c**3 + 6*c wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:27 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34935 - -0.1.\nAnswer: 34935.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.3 + 13. Let w = -4.1 + 4. Let l = w - 0. Sort v, 0.3, l.\nAnswer: v, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 195*u**4 - 1159*u**3\/3 + 308. What is the third derivative of w(d) wrt d?\nAnswer: 4680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -356*p + 34555. Calculate g(97).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r + r = -671991. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-2)\/(-32)*4\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.516 - 1.516. Let q(c) = c**2 - 4*c + 4. Let y be q(4). What is the smallest value in y, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -299*i*q**3 + 94*i*q - q**3 - 33*q wrt q.\nAnswer: -1794*i*q - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**2 + 1785*f - 11814. What is r(-144)?\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {v: 7, t: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 20. Let u be o\/(-40) - 17\/(-8). Solve 0 = -u*g - 2 + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -44 (c) 35 (d) 1\/4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51, 218, 485, 852, 1319, 1886, 2553?\n\"Answer: 50*k**2 + 17*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 384427013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 30 = -25. Solve -f*u = -5*i + 10, 5*i + 14 = -5*u + 6*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 - 0.06. Let x = u - -0.64. Let h = x - 0.49. Sort 2\/7, h, 2 in decreasing order.\nAnswer: 2, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*h + 3*a + 212, 10 = -2*a. Calculate the least common multiple of 2 and h\/16*4\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**7\/2520 - i**5\/120 - i**4\/36 + 17*i**3\/3 + 69*i**2. Let u(b) be the first derivative of g(b). Factor u(x).\nAnswer: (x - 2)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23893 divided by -5834.\nAnswer: 23893\/5834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2105*n**3 - 7*n**2 - 86*n + 4. Let w(l) = -4214*l**3 - 16*l**2 - 171*l + 9. Let q(v) = 5*i(v) - 2*w(v). What is the third derivative of q(r) wrt r?\nAnswer: -12582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -12321?\nAnswer: 12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15517137 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594 by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -537.84269 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x - 97057*x**2 - 27*x + 97051*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 2*y - 52\/11.\nAnswer: 2*(y - 13)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552 + 4*r**2 + 534 + 60396*r**3 - 1086 - 3*r**2.\nAnswer: 60396*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**9\/b)*b*b**0)**(5\/14)*(b*b*b\/b**0)**(2\/3)*b**(-2\/7)\/(b**(-3\/2)\/b) assuming b is positive.\nAnswer: b**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15286 = -2*k + 3*d, 30570 = -5*k + 9*k - 5*d. Round k to the nearest 100.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8*c + 3*c + 25, c + 7 = 5*h. Let w(x) = 2*x**2 + 15*x**2 + c*x**2. Let f(b) be the second derivative of b**4\/12 + b + 139. What is f(w(n))?\nAnswer: 625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4915 + 18478. What are the prime factors of n?\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - (-198)\/(-105). Which is the third biggest value? (a) -3\/2 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41 + 40 + 7*t**3 + 3 + 89 - 2*t**2 + 118 wrt t?\nAnswer: 21*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((0 - 0 - 4) + (44 - 26))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4573 + 2043. Is q\/(-12) + 1\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 2, e: 2, y: 2, d: 1, t: 2}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/19))**(23\/3)*(x**6)**6)**(-17\/5) assuming x is positive.\nAnswer: x**(-35666\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(500)*1)**2 + 3 - (6*(sqrt(55)\/sqrt(11)*5)**2 + -2)) + 3.\nAnswer: -3742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose p*r = j - 12, 3*j + 2*r + 50 = -2*j. Is (-39)\/(6*2\/j) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 74.87. What is the closest to q in -1\/4, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 308 = 250. What is the greatest common factor of i and 4727?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*n - 17977 = -2884 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 14) to base 3.\nAnswer: -10210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1014*t**2 - 157984*t + 31198. Determine p(-156).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -t - 21, -2*t + 4 + 2 = 2*o. Suppose -4*y + 5*f = f - 2840012, 0 = o*y - f - 2840003. What is y rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 6*o + 8. Let z be v(7). Let d(h) = h**3 - h**2 + h. Let q be d(1). Calculate the highest common divisor of z and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: c3350 (base 14) to base 4\nAnswer: 1302231322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/451 + 388\/3157. What is the biggest value in -16.3, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/56)\/(7414\/674)?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 3, -10, -23, -36?\n\"Answer: -13*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-80)\/140)\/(110\/(-98) + 1). Let g(y) be the first derivative of 8*y - 16*y**2 - 5 + k*y**3. Factor g(d).\nAnswer: 2*(d - 2)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + 3*b, 2*b - 7 = -2*f - 3. Let p = -67\/12 + f. Find the common denominator of 1\/36 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 32. Let p(k) be the second derivative of -1\/25*k**6 - 1\/30*k**4 + 0*k**2 - 3\/50*k**5 - 1\/105*k**7 + s + 0*k**3 - k. Let p(h) = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -157, -39, 315, 983?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 111*x**4 + 3*x**3 - 44*x + 3. Let k(a) = a**3 - a + 1. Let d = -300 + 303. Let r(n) = d*k(n) - z(n). What is the second derivative of r(h) wrt h?\nAnswer: -1332*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*m = 240*m - 2 + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at least 234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.1 + -81.9. Let y = -26445 + 26349.748. Let u = y - g. What is u rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) + -1)*-2 - 1*(sqrt(1008) + 0)) + 5 + (sqrt(1008) - (1 + sqrt(1008) + 3) - (sqrt(1008) + -2 + -4 + sqrt(1008))))**2*4.\nAnswer: -4320*sqrt(7) + 101124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12221021102002 (base 3) in base 12?\nAnswer: 1081762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, j: 12, e: 3}. What is prob of picking 1 n and 2 j?\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((-1758)\/30472).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/24 + b**3\/2 + 2*b**2. Let p(w) = -3. Determine 2*g(y) + 3*p(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/7817 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 3:28 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1666) + sqrt(1666) + (sqrt(1666)*3 - sqrt(1666)))\/sqrt(882) + (4*(2*sqrt(68))**2 - ((-3 + sqrt(68))**2*4 - sqrt(68))).\nAnswer: 154*sqrt(17)\/3 + 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 13*o = -7875. Suppose -6*h - o = -9*h. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 + 53248*n**4 - 153*n**3 - 12641*n**2 - 2*n + 14 wrt n.\nAnswer: 60*n**2 + 1277952*n - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-3\/2))\/(f**(-3)\/f))\/(f\/(f*f**(-3)*f)*f\/((f*f**(-3\/8))\/f*f)*f) assuming f is positive.\nAnswer: f**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9 (b) 3\/2 (c) -2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/3 in 3, -1\/2, 2.7, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 71623*i + 358027. What is q(-5)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 5*k - 3. Suppose -3*h - 24 = -0*h - 2*q, -2*h = -3*q + 16. Let d(u) = u - 1. Let z be d(-3). Let t be z\/16 + (-26)\/h. Give n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3781687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0156 times -0.0691?\nAnswer: -0.00107796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155424 + -3102?\nAnswer: 152322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12330)\/35 - 12\/(-42). Let q be j\/(-2)*(-19 + 20). Calculate the greatest common divisor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -23 + 16. Suppose c*h - 259 = -2219. What is h rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6112 (base 14) to base 6.\nAnswer: -205112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -527 - -542. Let f(k) = 8*k - 45. What is the least common multiple of f(z) and 2?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) + 102\/30. Suppose k + 2 - 3 = 0. Put k, i, -3 in decreasing order.\nAnswer: i, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2. Let v(t) be the third derivative of 11*t**6\/360 - 17*t**3\/6 + 4*t**2. Let b(g) be the first derivative of v(g). Calculate m(b(s)).\nAnswer: -121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 271 times -0.0497\nAnswer: -13.4687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4\/7 + 904*m**3\/7 - 2068*m**2 + 55464*m\/7 - 60192\/7 = 0.\nAnswer: 2, 3, 12, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5178700, 5178709, 5178728, 5178763, 5178820, 5178905, 5179024?\nAnswer: 5179183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 9:18 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + t**2 + 17*t - 5*t + 2*t**2 + 18 to the form n*t + i*t**2 + b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 39*l**2 - 8*l - 7. Is 37 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68.7 + 74. Let z = 23.08 + -28.8. Let g = d + z. Round g to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2\/v*v**6)\/(v**(-2)\/v)**26)\/((v\/(v**(2\/5)*v)*v)**(4\/3)\/(v\/(v**(-2\/5)*v))**50) assuming v is positive.\nAnswer: v**(526\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 3\/4, -1779, -2, 2\/19 in increasing order.\nAnswer: -1779, -2, 2\/19, 1\/6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*p - 23, 5*k + 3*p = p - 26. Let w be k*-2*(-1)\/(-2). Solve -w*q + 14 = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.12573 decades in years?\nAnswer: 541.2573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67110541 to the nearest integer?\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183.12 - 183. Which is the fourth biggest value? (a) 0 (b) y (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -3035?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(8\/3)*z)\/z**(-7))\/(((z*z**(4\/9)\/z)\/z)\/((z*z**12)\/z)) assuming z is positive.\nAnswer: z**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*y**3 + 617*y**3 - 1235*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:08 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.0841 - 3.88143. What is x rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 3a431b?\nAnswer: 3a4318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*a**5 + 680*a**4 - 2005*a**3 + 2320*a**2 - 825*a + 90 = 0. Calculate a.\nAnswer: 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:40 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2535*j - 3850*j + 4315*j)*(j + 8*j - 2*j).\nAnswer: -14490*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1855 - -0.7968. What is u rounded to three decimal places?\nAnswer: -0.389","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 1, f: 3, d: 1}. What is prob of sequence foe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3835 in 4, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114846913 by -3.\nAnswer: 114846913\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14704?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3961112, -15844471, -35650070, -63377909?\nAnswer: -99027988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 2*r - 6 = -4*a, -4*a + 4*r + 8 = 0. Suppose -34 = -2*d + a*y, 2*y - 38 = -4*d - 0*y. Suppose -d = -k + 56. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8922 and 42256079.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632.19 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/209, 5, -5, -0.03, 0.08.\nAnswer: -5, -0.03, -6\/209, 0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9\/((p\/p**6)\/p))\/(p*p\/((p\/p**(2\/7))\/p)*p)**(2\/103) assuming p is positive.\nAnswer: p**(10769\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 6*i + 2*i = -2*i + 60, 5*i = -2*t - 7 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 27\/7 (b) -4 (c) 5\/14 (d) -2\/11 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -5, 1\/10, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from lqklloyl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 - 9 - (-325 + 301).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157.75 - 151. What is r rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-12)*(-8)\/(-14). Factor 2\/9 + 2\/9*w**b - 4\/9*w.\nAnswer: 2*(w - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - 3*k**4 + 14*k**4 + 0*k**3 + 0*k**3 - 2*k**4 + (5*k - 3*k - 4*k)*(3*k - 3*k - 2*k**3) + 0*k**2 + 4*k**4 + 0*k**2.\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 705935.0294 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(132)*-2 + sqrt(132))*-2)\/(1*sqrt(972)))**2 + -3)*-6.\nAnswer: 398\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/170 and -29\/60010?\nAnswer: 60010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 165442, 165445, 165450, 165457, 165466?\n\"Answer: f**2 + 165441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1037, -1014, -989, -962?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 12. Let o be m(-13). Let c be (-18 + -12)*o\/(-3). What is the remainder when 15 is divided by -5*2\/(-25)*c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 26*o**2 + 95*o + 5. What are the prime factors of t(-15)?\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**5 + 4331950*h**4 - 39996345*h**2 + 10*h.\nAnswer: 60*h**2 + 103966800*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) -18 (c) 9.6642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.5 - -1.5. Sort n, -1\/3, -3\/4.\nAnswer: -3\/4, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*m - 22, 4*p + 100 = 4*m + 108 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -21, -67, -141, -249, -397, -591, -837?\n\"Answer: -m**3 - 5*m**2 - 2*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 234862*l**5*m**2 + 3*l**4*m**2 - 13*l**2*m**2 + 5*l*m**2 + 4156*l*m wrt l.\nAnswer: 14091720*l**2*m**2 + 72*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*j**3*u + j**2*u**2 - j**2*u + 54*j*u**2 + 2*j wrt j?\nAnswer: -438*j*u + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 9. Let b(o) = -6*o + 18. Let c(x) = 2*b(x) - 5*d(x). Determine c(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*3*(-1)\/3. Suppose 4*k + 14 = -5*r + 9, 5 = -5*k - 5*r. Suppose g*l - 5*l = k. Solve -x = -l - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75827 + -42360. List the prime factors of o.\nAnswer: 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -378*s + 366*s + 1212. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 times 4?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -238, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017*p**3 - 1838*p**3 - 11343*p**3.\nAnswer: -12164*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q + 1 = j, -4*q = -2*j. Suppose 2*b - 3*v = 474, 0*b - 472 = -j*b + 2*v. What is the highest common divisor of b and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - (-2608)\/10 - 19\/(-19 + -76) is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. Suppose j*z - 243 = 51. Suppose 4*q - z = 77. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 15*r - 19. Suppose -33*v - 105 = 126. Is 8 a factor of a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219924037 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 take away -5383?\nAnswer: 5383.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/2)\/((-4)\/(8\/3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 529 times -0.02\nAnswer: -10.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-2 - -1) + 2). Suppose f = -j - 0*j. What is the units digit of -3 + (1 + j)*9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 682145\/115839 + 2\/12871. Let x = 6 - k. Which is the nearest to 0? (a) -5 (b) -2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2240) + sqrt(2240) + sqrt(210)\/(3*sqrt(6)))\/((sqrt(700) + (3*sqrt(700) - sqrt(700)) + sqrt(28))\/((sqrt(4) - sqrt(64))*-1 - sqrt(4))))**2.\nAnswer: 12005\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213 + 212.9. Is b at most 1\/361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = -1196. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 15*y**2 - 6*y + 70. Let x be k(-16). Let c be ((-25)\/10)\/((x\/(-8))\/(-9)). Solve c*q = 3*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244 - -248. Suppose -2*z + 1624 = s*b, 0 = -2*b - 3*b + 4*z + 2056. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-128)\/288*9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 0, -4, 12, 2 in descending order.\nAnswer: 41, 12, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 455809 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032210 rounded to the nearest 10000?\nAnswer: -2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:49 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -12. Suppose -2*s - 2*r = -2, 5*s - 3*s - 16 = 5*r. Solve 0 = -5*z - s*q - 3 - x, 4*q + 8 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l. Suppose l = 5*x + c + 94, 5*x = 3*c - 101 + 23. Let j = x - -66. What is the greatest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) -1504 (c) -43 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -4, -4\/5, 1661\/37, -1?\nAnswer: 1661\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -20 - (-304 + 284)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(17) - (-2*sqrt(51))\/sqrt(3)) + -2 - ((sqrt(17) + 4)*-6 + -6*sqrt(425)))**2.\nAnswer: 1872*sqrt(17) + 26433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176 - -399. Suppose -4*x + 81 = -p. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-14)\/p)\/p**(2\/29))\/(p**(1\/15)\/((p*p**11)\/p)) assuming p is positive.\nAnswer: p**(-1364\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201149047.\nAnswer: 11, 643, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/155553016 and -61\/54262680.\nAnswer: 2333295240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/(-60))\/(-7))\/(((-621)\/(-115))\/3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 60 - 7)*(0 + 0 - f) - 3*f + 7*f - 3*f - 2 + 3*f + f + 2*f + (5 + 2*f - 5)*(-5 + 1 + 3) + 0 - 2*f + 0.\nAnswer: 76*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 50?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43\/8 - 1919\/360. Let h(o) = -o + 3*o - o**3 - 2*o. Let d be h(1). Is d bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 3*a**2 - a - 1. Let n be l(2). Suppose -3 = -w - 0. Let j be ((-4)\/2)\/(w\/n). What is the second biggest value in -1, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 46*j**2 + 45*j - 6. What is h(-24)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k + 41*k + 681 = -3*b, 0 = 4*k - 3*b - 2715. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 + 81. Let r(v) = 2*v. Determine k(r(d)).\nAnswer: 20*d**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*-9*7. Let u be 10\/(-25) - p\/5. Sort 4, u, -5 in descending order.\nAnswer: u, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 92756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 11}. What is prob of sequence sg?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/10 + 104\/40. Let v be 4\/3 + t + 0. Is 4 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1254 - -7639. Let v = b - 6387.7945. Let l = -2.8 - v. What is l rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8662.\nAnswer: 2, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 8 - 46 = 133 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1047, 1053, 1097, 1215, 1443, 1817, 2373?\nAnswer: 3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/7 + 16*c**3\/21 - 2*c**2\/21 - 16*c\/21 + 8\/21 = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.1758836 to 3 dps.\nAnswer: -28.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86385971?\nAnswer: 7, 59, 29881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/3*(3 + 0). Let g = c + 45. Calculate the least common multiple of 12 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c + 0 + 2 - 1 + 8*c. Let y be g(-5). Let k(n) = -n**2 - 5*n. Let l be k(y). Solve -2*i - l = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7126 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x + 48 = 60*x. Suppose -2*w + 8 = -0*w, -4*w - 4 = -x*h. Solve 2*g - 5 = 3*g - 4*u, -2*u = -g - h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011949 rounded to 4 decimal places?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -329*b - 9845. What is g(-30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 10*x**2 + 7*x - 15. Let z be m(-9). Let c = 7 + -4. Is z smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(3\/(-7) - 396\/(-336)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.68 * 1\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -112*c + 3371. Give v(30).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3 + 3 - 2)*(7*a**4 + 2*a**4 + a**4).\nAnswer: 20*a**5 - 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81558*q*x - 56516*x wrt q?\nAnswer: -81558*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -454 + 505. Calculate the remainder when 407 is divided by u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 4*o**7\/7 + 31*o**6\/3 - 334*o**3\/3 + 418. Find the third derivative of d(y) wrt y.\nAnswer: 480*y**3 + 3720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/5 + -17\/10. Let m = 1.6 - 2.6. Let g = 1855\/3 - 619. Which is the closest to m? (a) -1 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103369 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 35*o**2 + 36*o + 6. Let u be j(36). Solve -16*z + 18*z = -u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*i + 91 = 464, -4*a + 1513 = i. Let x = -312 + 113. Let s = a + x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 - -0.6244670908?\nAnswer: -479.3755329092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 89 (c) 0.1 (d) -24 (e) -2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1690690 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 less than 1153066379049?\nAnswer: 1153066378759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14525\/6 + 2414. What is the common denominator of t and -67\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/(x**8*x))\/(x**7\/x**(-2\/7)) assuming x is positive.\nAnswer: x**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:20 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let y(q) be the third derivative of 1\/24*q**4 + 0*q + 0 - 1\/60*q**5 + 2*q**2 - 1\/3*q**3. Give y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 29.06. Let m = 0.06038 - p. Round m to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17926 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*a + 6, -3*a + 4*l + 0 + 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -45. Suppose -104 = -19*v - 47. Calculate the least common multiple of (-18)\/(-4)*x\/3 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 106*x + 108*x - 301123 = 0, -1505570 = -5*u + 5*x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:29 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 13. What is the tens digit of (-2)\/o + 82\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 + -11*5\/620. Let l = m + -44\/465. Let g = 203 - 1427\/7. Which is the biggest value? (a) g (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-2)\/(-12)). Let s be 1\/(((-3)\/2)\/n). Suppose 43 = s*j - 19. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2690605 or 2690654?\nAnswer: 2690654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -237449.\nAnswer: -237448.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let q(i) = -4*i**2 - 9*i**2 - 3*i**2 + 12*i**2. Calculate h(q(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54985823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212 + -285 - (-25 + (1 - 2)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:48 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 + 4*r**3 + 6 - 5*r**3 - 9*r**3 with respect to r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s**3 + 8*s**2 + 7*s + 7. Determine b(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1239 and 708?\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2675 = 5*t + 185. Is t a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 8 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*c + 41, 3*r + 4*c = 50 + 53. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 20562.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 238 - 2233. Suppose a = -3*z - 0*z + 1909, -3*z - 5*a + 1925 = 0. Suppose 0 = 2*u - z - o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484978 is divided by 637?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 25 = -5*g, -2*g - 8 = -4*j. Let q be g*3*(-2)\/(-4). Suppose k = q*l, 0 = -3*l + 3. Which is the smallest value? (a) -0.1 (b) 3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3952951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074 less than -40.868095?\nAnswer: -1114.868095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - i + 124*i**3 + 2*i**2 + 4*i - 66*i**3 - 55*i**3 as o + q*i**3 + y*i**2 + j*i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 1 - 8. Solve 0*l - 2*f = -b*l + 23, 5*l + f = 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-118)\/(-35))\/((-8781)\/14635)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by -3.\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4224 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n - 8. Let p be v(-4). Let j = 27 - p. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*l - 94, -5*j = -32*l + 27*l - 155. Sort -2, 4, 2, j in decreasing order.\nAnswer: j, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1067*w + 1063*w = -28. Suppose w = 3*o - 128. What is the remainder when 1033 is divided by o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -93*a**2 + a + 96*a**2 + 2*a**3 + a**3. Let w be t(-1). Let q(o) = 9*o**2 + 1. What are the prime factors of q(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Suppose -27 = -5*m - 4*y, -4*m - 5*y + 27 = -0*y. List the prime factors of n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1044, -2051, -3058?\n\"Answer: -1007*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hee when three letters picked without replacement from gehgghelgggg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4606\/481, 3\/7, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 422993035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/2 - -101\/14. Let g = 0.208 + -0.108. Which is the nearest to -0.1? (a) z (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v - 2*v)*(-v + 2*v - 14*v)*(0 + 2 - 4)*(-4 + 4 + 2) to n*v**2 + i + s*v and give n.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7 - 12. Let a be (48\/10)\/(k\/5). Let t = a - -69. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p + 32. Let d be z(3). Let t(a) be the third derivative of 0*a**3 + 0 + 10*a**2 + 0*a + 1\/8*a**4 + 1\/20*a**d. Factor t(f).\nAnswer: 3*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {q: 1, o: 1, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 110?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 151.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**6\/3 + 25*g**3\/3 + 21. What is the third derivative of z(w) wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + g + 5, -7*g + 8 = -r - 3*g. Let m be (6\/r)\/(3\/4). What is the second derivative of -m*h**4 - h + h**4 + 3*h wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 1, n: 3, q: 7, u: 2, m: 2}. Give prob of picking 1 o and 1 q.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x - 13. Let h(z) = -2*z - 2. Let g be h(-3). Differentiate -4 + d**g - 7*d**x + 6 - 5 with respect to d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -112. Let z(t) = 6*t - k + 2*t + 3*t - 7*t. Suppose 3*u + u - 24 = 0. Give z(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13*c\/c**(4\/7))**(-15) assuming c is positive.\nAnswer: c**(-1410\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t*u**3 - 703*t*u**2 + 795*u**3 wrt t.\nAnswer: u**3 - 703*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -655555*l + 10. Suppose y - 38 = 2*c, -5*c = 2*y - 7*c - 72. Suppose -y*r - 72 = -30*r. Let v be w(r). What is v rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8916 + 13736. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42513045 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5)*-1)**2 - (sqrt(45) - sqrt(5))*-2.\nAnswer: 21 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/42 - 2*(-1 + 0). Which is the third smallest value? (a) 1 (b) v (c) -0.1 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 + 7*z**2 - 4*z - 12. Let a be q(5). Let r = a - -242. What is the remainder when 83 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 10*f - 5*f + 5*f + f in the form r + p*f and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, z: 7}. What is prob of sequence bzb?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 128055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -864 - -18077\/21. What is the common denominator of w and 50\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61761 and 7864234?\nAnswer: 23592702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4447951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -629, 0.3, -1, -6, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590*d = 40093 + 13967 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10209191 rounded to 4 decimal places?\nAnswer: -0.1021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*u - 3, u - 2*m - 17 = m. Find the second derivative of 4*o + 0*o**2 + 6*o**2 + 4*o**2 + u*o**2 wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23246 - -23297. Let j be 6\/(-16) + 2\/8. Which is the second biggest value? (a) j (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-504)*153 - 65.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 7*o**2 - 6*o**2 + 2*o**4 - 2*o**2 to the form v*o**3 + w*o**4 + b*o + x + u*o**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 209?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Calculate the remainder when 13 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 63*a**4\/4 + 4*a**3\/3 + a**2 + 2. Let b be c(-2). Let j = 703 + b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(3 + (-5*(sqrt(320) + 2 + -1 + -3))**2).\nAnswer: -8100 + 800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 104\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i + 246. Determine p(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqcdqqme. Give prob of sequence ce.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3*(-8)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) 73 (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 18, -0.4, 5\/569, -5?\nAnswer: 5\/569","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -y + 4*v - v, -3*v + 9 = 0. Let m = y + 5. What is the remainder when m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-2)*(-33)\/(297\/6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p + 216 + 54 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.879 - 3.979. Which is smaller: l or -2\/11137?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 2}. What is prob of sequence pap?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s + 1. Suppose -p + 6*p - 55 = 0. Let g = s + p. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10375, -10397, -10419, -10441?\nAnswer: -10463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -x + 140, j + 4*j + 350 = 4*x. Let a be (-18)\/j + (-10)\/25. What is the smallest value in -2\/9, 2\/7, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + v = -o - 12, 4*o = 3*v + 28. Let q be (-170)\/(-7) - o\/14. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 156.8, 1\/9, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 10:51 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1979545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 151 + 487 = 15*k, -9*k + 12*k - 2*g - 10 = -0*g - g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n + 602 = 73*n. What are the prime factors of n?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 + 405. Is (o\/10 + (-24)\/60)*15 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 8 + -4 + 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 + 8*x + 6. Let j be t(-4). Let m(i) = 3*i - 13. Let w be m(j). Suppose g + 302 = w*q - 0*q, -5*g - 70 = -q. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18.117 and -55096.\nAnswer: -55114.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.53 + -0.43. Let m = 0.5 + -0.3. Which is the closest to m? (a) j (b) 1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 12*s - 10. Let o = -3 + 6. Suppose 2*u + 21 = -o*k + 4, 2*u - 3*k = -11. List the prime factors of p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, i: 11, w: 2, o: 2}. Give prob of picking 2 n and 1 w.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:43 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 128.903.\nAnswer: -257.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4 + 8. Let z(v) = -v**2 - 6*v. Determine z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-36) - (-1144)\/1584.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c + 39. Let w be r(0). Calculate the greatest common divisor of 52 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 = 333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:41 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from eddgjeajggijidejji?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -55. Suppose 5*h - h - i*b - 196 = 0, 2*b = -4. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 38. What is the lowest common multiple of 9 and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*l = -259, -2*k - l - 35 + 274 = 0. Suppose o - k = -22. Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749720?\nAnswer: 2, 5, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 99 = -6*g + 4*g, -5*g + 10 = 0. Let q = h + -16. Suppose 84 = q*x - 243. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10798 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24102\/(-5356))\/((-162)\/(-40) - 4)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 29*w. Let d(c) = -15*c. Calculate d(h(r)).\nAnswer: -435*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 6*i**2 - 9*i - 14. Let m be z(-5). Suppose 2*l = m*l + 252. What are the prime factors of (-1808)\/(-14) + 9\/l?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvrrrllrlccc. Give prob of sequence cv.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 50*j**3 + 4*j**2 - 4. Let u(r) = -249*r**3 - 21*r**2 + 21. What is -21*n(m) - 4*u(m)?\nAnswer: -54*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 106, 119, 108, 73?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + 68*y**2 - 238*y - 2182. What is v(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064 times 2?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p + 111. Suppose 4*g - 16 = -5*t, 7*g + 5*t - 25 = 2*g. Let o be b(g). Suppose 0 = 2*n - 3*n + 16. Solve q = -o*q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let a(p) = 7*p. Let l(s) = -6*a(s) - 22*v(s). Let d(k) = 21*k**2. Give d(l(i)).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11460*w**3 + 11462*w**3 - 814*w**2 + 814*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -3472905 and -3472905 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:32 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(0*l + l + 0*l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 23. Let k = -3046804\/23655 + 8\/4731. Let f = k - -128. What is the third smallest value in f, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**3 - 6\/5*q**5 - 3\/4*q**4 + 4 + 1\/2*q**6 + 0*q**2 + 0*q. Factor x(y).\nAnswer: 3*y**2*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 - 436?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3359 = 3*y, -6*y + 2236 = -4*y - 5*b. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167119495 to the nearest integer?\nAnswer: 12927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.56 * -0.144.\nAnswer: -0.08064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 6:26 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - 0 - (0 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30563 (base 7) to base 2\nAnswer: -1110101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 708082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/(-10) + 175\/10. Suppose 0 = 2*r + 3*r. Solve r*s + 2*u = -3*s - c, -5*s = 5*u + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1139 - 48b44?\nAnswer: -4a081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 2*s**2 - 42*s - 3. Determine v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(380)*-3)\/sqrt(10))\/(sqrt(242) + sqrt(242)*-3) + -2).\nAnswer: -2 + 3*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 - 108*j\/11 + 10.\nAnswer: -2*(j - 1)*(j + 55)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 35 = 5*u, 3*u - 2*u = -5. Let z be t\/(-45) - 40\/(-6). Suppose 4*q - 600 = z*q. Round q to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -757418, -757467, -757496, -757505, -757494?\n\"Answer: 10*x**2 - 79*x - 757349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-2112)\/(-231))\/(1 - (-22)\/(-14)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5410*u - 258*u**3 + 5409*u + 2 - 976*u**3)*(3 + 2 - 1)*(1 - 1 + 2*u) to i + l*u**3 + w*u**4 + k*u**2 + m*u and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 9*w + 9. What is the remainder when t(-7) is divided by -1 + (-2 + 11)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36a (base 16) to base 4\nAnswer: -31222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -d + 58, -21*d = -4*l - 57 + 18 + 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddiqsqdvdqdq. Give prob of picking 1 i, 1 q, and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 2, s: 1, h: 1}. What is prob of sequence zhz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 189, 193, 197?\n\"Answer: 4*n + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 61\/2, 0.0599, 0.4 in descending order.\nAnswer: 61\/2, 0.4, 0.0599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474475 to the power of 1\/2, to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -7. Let z = 8.6 + k. Let f = -0.292 + 0.332. What is the third smallest value in -3, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.81504 to two decimal places.\nAnswer: -32.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s = -5*r + 154*s - 19, -39 = 9*r - 3*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4704 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 8*q**4 - 2*q**4)*(0 + 2*q + 0) + 4*q**5 + 9 - 9 + q**5 - 3*q**4 + 3*q**4.\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -34506425\nAnswer: 13802570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 119112a (base 11) to base 6\nAnswer: 112140105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Let k(w) = -w + 40. Let p be k(d). Suppose p = 3*x + 7. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3461*a + 1723*a + 1734*a. Suppose 0 = -3*g - 4*p + 1, p - 4 = -0*g - 2*g. Let j(h) = 5*h**2 - h**2 - g*h**2. Give u(j(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 >= 9.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.8 (b) 16.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 49*g**2 + 37*g - 580. What is the thousands digit of s(-46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 14*g**2 - 16*g - 90. Let w be o(12). Factor -w - 4*i - 2\/3*i**2.\nAnswer: -2*(i + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 44 = -8*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 + 33\/(-15) + -169. Let u = -44 - g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 241 = 588*x - 591*x, 0 = -4*x - h + 296. Solve 0 = 345*v - 360*v - x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-2))\/(-2)*0. Let c(j) = -2*j**2 + 0 - 2 - 2*j**2 - 4*j + v*j**3 - j**3. Determine c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmwddwwwldmwdwddmmw. What is prob of sequence mwm?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 9*n - 65 = 0, -l - 4*n - 35 = -4*l + l - 4*n + n for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38754.999 - 38732. Let t = z + -23. Round t to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 62*h + 16. Let w be q(-7). Let u = w + 592. Suppose 7*z = -u + 1413. List the prime factors of z.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42843 in -1\/26, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 38*s**2 - 54*s - 358. Calculate p(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-6)\/(-15))\/(8\/(-10))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-360)\/1080*(9856\/5 - 2). Which is smaller: t or -656?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 8*q - 11. Let o be f(11). Let n be ((-4)\/(-6))\/(o\/(-1056)). Let p = n - -37. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22233120 (base 4) in base 7?\nAnswer: -242154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 4. Let u be (-2 - -10) + (-2 - 0). Suppose q = u*q. Calculate l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 408 = -g. Let j = g + 54. Solve 4*y = 8*y - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -38*d**2 - d - d**3 + 33*d**2 - 6 + 2*d + d. What is h(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*b - 62 = -3*f + 277, b - 4*b + 19 = 4*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 12101?\nAnswer: 11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2\/3*g**3 + 0 + 2\/3*g**2 - 2\/3*g**4 - 2\/3*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2 (c) 5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2405, 2500, 2585, 2654, 2701, 2720, 2705?\n\"Answer: -s**3 + s**2 + 99*s + 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/3 - 2*b**4 + 4*b**3\/3.\nAnswer: 2*b**3*(b - 2)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 160.\nAnswer: -77\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(5 - 3) - -145. Round y to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17219 and 3722902.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12078 - -12077.97. Is 0.0401 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -4. Suppose 0 = -44*q + 42*q - 106. Let i = 57 + q. Which is the closest to 2\/3? (a) 7\/4 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 509, 505, 499, 491?\n\"Answer: -s**2 - s + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -261*x - 1307. What is l(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m + 9. Let j(y) = -11*y**3 + 8*y**2 + 14*y + 8. Let s(z) = 4*z**3 - 3*z**2 - 5*z - 3. Calculate m*j(c) - 8*s(c).\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2400*w**2 + 9*w - 59*w + 48*w in the form b*w**2 + m*w + k and give b.\nAnswer: 2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 4179216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1096193512*o**2 - 2945785*o + 1?\nAnswer: -2192387024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-2556)*71)\/(24\/(-46)).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-20)*a*a**(-26) assuming a is positive.\nAnswer: a**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 581268864 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6015255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1109070000 to the nearest 1000000.\nAnswer: 1109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 74*i - 39. What is the units digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/31 + 68\/93. Let b = -1.42 - -1.72. Let u be 3\/(-7)*(-154)\/176. What is the biggest value in b, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.123 in -2\/11, 0.5, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 3*r = -w - 35, 0 = -2*w + r + 3. Let k be w\/(-14) + 104\/(-28). Let l = -20.3 + 19.3. Put -1\/3, l, 0.5, k in increasing order.\nAnswer: k, l, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -33066*w + 66137. Calculate t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 4. Let b = 169 + -165. Suppose m - b*d = 12, u*d - 17 - 67 = -4*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*(-2)\/(-8))\/(3\/(-72)). Let d be (-4)\/q + 3012\/54. What is the greatest common divisor of 140 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*o - 40. Suppose -v + 2*v - 862 = -3*q, 5*v = -o. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -18*r**2. Let t(b) = -55732*b + 15. What is t(i(x))?\nAnswer: 1003176*x**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -v + 45. Let q = 121 - v. What is the second derivative of q - 230*s + 201*s + 0 - s**4 wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -0 - 30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:20 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) + (-258)\/(-12). Suppose 2*x + 2*v = -v - f, 26 = -2*x - 4*v. Let b be (-140)\/3*(0 + x). Calculate the greatest common divisor of 56 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-8)*(-16)\/(-40). Let i = -0.1 + 0.2. Let g = i + -0.2. Which is the closest to -1? (a) g (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, p: 8, c: 3}. What is prob of picking 1 g, 1 c, and 2 p?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b**3 + 14*b**3 - 52*b**3 + 2*b - 81*b**3.\nAnswer: -146*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 7. Let o be q(8). Let d be 3 - 0\/o*1. Let n(z) = -z + 3. Let u be n(d). Put -3, u, 4 in decreasing order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 divided by -4?\nAnswer: -329\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-60)\/(-72)*(16686\/(-45))\/9?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -254, -168, -34, 142, 354, 596?\n\"Answer: -f**3 + 30*f**2 + 3*f - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -525a3 - 81?\nAnswer: -52664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 17*x**3 - 68 - 25*x.\nAnswer: -17*x**3 - 25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103820 is divided by 944?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36532 + -4?\nAnswer: 36526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 11:10 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 12*z**2 + 3*z - 15. Let w be i(-12). List the prime factors of 5*(w\/(-15) - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/28*4 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 12. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 804 and 21.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + 0\/2 + (-33224)\/5440 and 61\/8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49\/90 + 2\/45. Let o = -1 - -1. What is the closest to o in x, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 76*i**2 - 2*i**3 + 1 - 76*i**2 in the form v*i + q*i**3 + y + m*i**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -1, 582 in increasing order.\nAnswer: -65, -1, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 3, -2, 0.2, 51\/2224, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 + 76. Let y = -31 - k. What is the smallest value in y, 5, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4610 - 6746. Let d = v + 4885. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - 2*1378\/(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2514 + 1755 + 2091 - 1 + 1 + 1 - 1 - 3 + 3 - 4 + 1 + 1 + (0 - 1 + 2)*(-3 + 2 - 1) + 3 + 1 - 2 + 3 - 6 + 1)*(3*m - m + 0*m)*(5 + 1 - 4)*(5 + 0 + 0).\nAnswer: 26560*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10468, -2\/3, -2, 1, 2\/27, -10, -2\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1560170 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 9*x + 7. Let m be h(-5). Let y be 14\/35 + (-2)\/5. Suppose -7*r + 2*r + 51 = 2*c, c + 3*r - m = y. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 1\/6, 30\/13, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -10, -799 in increasing order.\nAnswer: -799, -10, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - q**2 + q + 2. Let s(o) = -o**2 - 7*o - 2. Let p be s(-7). What is the tens digit of y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*l + 12068*i + 5*l**3 - 78*l**2 wrt l.\nAnswer: 3*i + 15*l**2 - 156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u + 121 = -u - 113 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26 - 11 - 14)*(4 - (-29)\/(-8)). Which is the fourth smallest value? (a) -0.3 (b) g (c) 4 (d) -1\/4 (e) 134\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 582 - 412. Suppose -4*y = y - k. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(128) - -1*(sqrt(128) + 0 + sqrt(128) - sqrt(128))))**2 - (-1*4*(2 + sqrt(18)))**2.\nAnswer: -224*sqrt(2) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40095 and 304524?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 669 = -227. Suppose 5*p + 1016 = 9*p - 4*r, -p = 5*r - h. What are the prime factors of p?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341454 (base 6) to base 4\nAnswer: 13003222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v + 0*v - 3*v**2)*(v - 4 + 4) + 0*v**3 + 4*v**3 - v**3 + (2*v**2 - 2*v**2 - v**2)*(v - v - 2*v) + v**3 - 5*v**3 - 4*v**3)*(-v + 2*v - 2*v).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21420\/(-5712)*-4*1\/230.\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111930191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1636, -3277, -4936, -6619, -8332, -10081?\n\"Answer: -r**3 - 3*r**2 - 1625*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 324*n - 837. Let a be y(4). What is the highest common factor of a and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -26. Is -6 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from bjbghhjg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6886603, 13773202, 20659799, 27546394, 34432987, 41319578?\n\"Answer: -h**2 + 6886602*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56 - 2 - 15 + 27*h + 24 wrt h?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1118167, -2236439, -3354717, -4473001?\n\"Answer: -3*p**2 - 1118263*p + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 98?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -4*m**3\/3 + 23*m**2\/2 - 2*m. What is the remainder when b(-16) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 582 + 200?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**3 - f**2 - 2*f - 4. Let o(i) = -13*i**3 + 3*i**2 + 7*i + 12. Let h = -7928 - -7930. Determine h*o(a) + 7*m(a).\nAnswer: 2*a**3 - a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 + 295*c**2\/2 + 28461*c\/2 - 18167247\/2.\nAnswer: (c - 189)*(c + 537)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvkkgggokotktgt. Give prob of picking 1 o and 1 g.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1015, -2047, -3089, -4147, -5227?\nAnswer: -6335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408.9697 rounded to the nearest ten?\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -211 in ascending order.\nAnswer: -211, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 47. Let j be u + -1 - (-4)\/((-16)\/12). Let p(h) = 3*h**3 + 2*h. Let s(c) = -3*c**3 - 3*c. Determine j*s(z) - 3*p(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13 + 44 - 2*g**2 + 4*g**3 + 2*g**2 - 273*g + 256*g wrt g.\nAnswer: 12*g**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + g - 18 + 20 + 62.\nAnswer: 2*g + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 + 206. Factor -90*n**2 + 15*n + 5*n**4 + 81*n**d - 15*n**3 + 4*n**4.\nAnswer: 3*n*(n - 1)*(n + 1)*(3*n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = -0. Let b be (13\/g)\/((-2)\/(-4)). Let p = 23 + b. What is the greatest common factor of 80 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*y - 149*y**2 + 25*y in the form i*y**2 + b*y + t and give i.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -2, 35002 in decreasing order.\nAnswer: 35002, 4, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 13) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*d + 1325, 3*d - 311 = 4*l + 473. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322 - -327. Let p be 3*(-10)\/15 + 8\/3. Which is the nearest to p? (a) 4 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 + -4 + sqrt(52)\/(sqrt(100) - 2*sqrt(100) - sqrt(100)))**2.\nAnswer: -476*sqrt(13)\/5 + 185693\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**6)\/z*z)**(8\/13)\/(z**(-23))**(1\/2) assuming z is positive.\nAnswer: z**(219\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68715423683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 6. Suppose -i = 2*s - 159, 2*i - 316 = -5*s + n*s. List the prime factors of i.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8499*j**2 + 4*j + 1. Let d be y(-5). Let t = d + 79494. Round t to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -0*s + 4*s. Let t = s + 20. Suppose u + 4*k - 13 = 9, -5*u + t*k = 10. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*s + 149, 331 = 4*v + 181*s - 176*s. What is the remainder when v is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 2*q - q)*(-13220 - 78*q - 13214 + 26436) to the form d + o*q**2 + s*q and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.7, -1\/9, -3, 7, 2 in decreasing order.\nAnswer: 7, 2, 1, 0.7, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3164, -5 in descending order.\nAnswer: 5, -5, -3164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0451 * -6770.26.\nAnswer: 305.338726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/49 (b) 29 (c) -1662\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 9277544.\nAnswer: -2783263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 30, 41?\n\"Answer: 11*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**2 + 17*f - 16. Let m(u) = 2*u + 36. Let g be m(-15). Let t(r) = 7*r**2 - 16*r + 15. Let b(j) = g*a(j) + 7*t(j). Determine b(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 8*d - 12. Let v be r(2). Suppose 4*k - 8*k + f + 1631 = v, -15 = -3*f. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-210)\/(-50)) - 328\/(-616)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {b: 2, t: 2, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - 78\/(-9). Let u be ((-20)\/i - -2)*4. Let q be -1 + u - 0\/(-6). Let z(n) = n + 4. What is z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5 + 8 + 4*n - 5 + 4. Let b be c(6). Let h = b - 19. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -3 + -82 + -28 + 24 + -4?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 1, y: 8, b: 1, i: 1}. What is prob of sequence hi?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**5\/20 + a**4\/2 + 2*a**3\/3 + 7*a**2\/2 - 42*a - 2. Calculate b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 6*k**2 - 13*k - 24. Let g be v(-7). Suppose -3*x - 5*a = -164, x - 69 = 2*a - g. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkklvlklcvccvkvkk. What is prob of sequence kc?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1062 and 118?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s + 14. Let p(w) = -3*w**2 + 3*w - 41. Let j(y) = -4*p(y) - 11*x(y). What is the tens digit of j(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2. Let z(i) = -57*i. Give t(z(h)).\nAnswer: 12996*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -16042258\nAnswer: -4812677.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 26*r - 86. Determine v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 77*p - 140*p)*(1 + 1 + 1) in the form w + r*p and give r.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 - 6*y + 3. Determine x(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11620*m**2 + 53*m + 5882465 wrt m.\nAnswer: 23240*m + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) - (sqrt(343) + (-1*sqrt(343) - sqrt(343))))**2*5) + -4.\nAnswer: -6864 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 7*m + 2. Give i(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + 103.65. Let s = -0.3862 - y. Round s to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5159, 20695, 46591, 82847, 129463?\n\"Answer: 5180*w**2 - 4*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25374144 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36003\/7 - 5143. Is n <= -230\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 756 (b) -0.3 (c) 2\/19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1480993?\nAnswer: -5923972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 11*w - 2 - 150*w.\nAnswer: -161*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121375659.\nAnswer: 3, 67, 603859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6) + (23 - 23) - -28.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2655 - -1126234?\nAnswer: 1123357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:56 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7200759 or -7200758?\nAnswer: -7200758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1656 less than or equal to -1282767\/775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 2*k - 2. Determine m(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((18\/((-216)\/(-74)))\/((-2)\/12)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 218*h**3 + h**2 - 1. Let q be i(1). Let o = q + -143. Let j be (20\/11)\/((-42)\/(-77))*(-18)\/(-4). Calculate the highest common divisor of j and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -24*k**2 + 16*k - 24. Let a(c) = c**2 - c + 1. Let w(q) = 16*a(q) + o(q). Differentiate w(n) wrt n.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2. Let k(x) be the second derivative of 4*x**3 + 24*x + 1. What is w(k(o))?\nAnswer: 576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2113 - -55a27?\nAnswer: 57b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*h = -161*h. Let k(l) be the second derivative of -l - l**3 + 0 + 0*l**4 + h*l**2 - 1\/10*l**5. What is the second derivative of k(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 + m + 2. Let b(x) = -5*x**2 + x + 2. Suppose 28 = -7*n - 0*n. Determine n*l(j) + 5*b(j).\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42521 (base 9) to base 6\nAnswer: 334114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 + -1 - (12 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*1*2 + sqrt(1050)*1)\/(-2*(sqrt(600) + sqrt(600)*-4))*-6.\nAnswer: -7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*t - 1 + 7 - 16.\nAnswer: 2*t - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (3 - 17 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32597129*n**3 - 69*n**2 + 16999*n wrt n?\nAnswer: -195582774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940482379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 0\/2 - -7. Suppose -4*y + n*r - 24 = 0, 0 = -2*y - 3*y - r - 54. Let k = y - -10. Solve i - 5 = -k*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + y = -4, 22*n - 16 = 25*n + 4*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/20 + r**4\/2 + r**3\/3 - 2*r**2 - 11*r. Give a(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*y - 3*y, -l = 5*y - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2644 - 2642. What is the closest to 3 in -2, -29, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 - 44 - 180 = 69*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 2:41 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/20 + 5*g**4\/12 + g**3\/6 + 7*g**2\/2 - 61*g. Give k(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4 - -9) + 24)*(-1)\/6. Is c != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(243) - ((1*sqrt(243))**2*-5 + sqrt(243)).\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.43291885 to 2 decimal places.\nAnswer: -8.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52\/3 or -11.1243?\nAnswer: -11.1243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 26853898.96.\nAnswer: 26853899.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.280648515 to 2 decimal places.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.05, -0.3, 8, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/9*((-135)\/(-105))\/(12\/14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011001111110110 (base 2) to base 6.\nAnswer: -1404554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2 - 4 + 4*t - 2*t. Let a(j) = 4*j - 5. What is -2*a(b) + 5*s(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 21*d**2 - 24*d + 78. Let j be f(-24). Suppose -z - 5*z = -j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 15*c - 19*c - 10, -5*c = -i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6726.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*j - 121*j = 5*k - 35853, 4*j - 35888 = -5*k. What are the prime factors of k?\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 4. Let q be s(-6). Let h = -46 - q. Let f = 16 + h. Sort f, -5, 9.\nAnswer: -5, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793232111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 0*c - 4*c)*(c - 5*c + c) - 3*c - 4*c**2 + 3*c as r*c + h + w*c**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140429 and 15728048?\nAnswer: 15728048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)*w**(-1\/3))**17\/((w**(1\/4))**(-2\/17)\/(w**(-1\/3)\/w**8)) assuming w is positive.\nAnswer: w**(-641\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-150))\/1*15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/21, -46, 0.12, -4.\nAnswer: -46, -4, 2\/21, 0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 4*q - 16. Determine a(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1330, 5312, 11938, 21208, 33122, 47680?\n\"Answer: 1322*t**2 + 16*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173267 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -0. Suppose -17 = -l + w*q, 5*l + 2*q - q = 85. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.09 in -2, 0.21, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 748 and 4.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:56 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - t**2 - 2*t**2 + (-13 + 13 - 2*t**2)*(-3 + 2 + 0) - 3*t**2 + t**2 + t**2 + t**2 - 2*t**2 - t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 1.92561.\nAnswer: 4.92561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4048 is divided by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/112 + 5*v**4\/24 - 6*v**2. What is the second derivative of a(s) wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-25)\/8)*(-5)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -9, -13, -17, -21?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12725 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: cb (base 16) to base 13\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*c - 11, 0 = w - 4*c - 0 + 1. Let u(i) = -2*i**3 - 5*i**2 - 4*i - 2. Let r = -1 + -2. What is the remainder when u(r) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-15)*2\/(-42)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -127*n. Let d(w) = -15*w**2. Give k(d(r)).\nAnswer: 1905*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95476 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*p + 26 = 10, h = 5*p + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 - 25*a**2 - 88*a + 112 = 0. What is a?\nAnswer: -4, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/9))\/x)\/x**(-3\/4))**(9\/8)*(x**(-1\/12)*x\/(x**0*x))**(-32\/3) assuming x is positive.\nAnswer: x**(427\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.1293 (c) 2.9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 + 7 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5 (c) -231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g)\/(g**3*g*g) assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536220321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 101777\nAnswer: 3\/101777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Let k be (4\/6 - 0)*15. Let a = k - 4. Solve -l*z = -a*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101.2 - -101. Let c = 0 - 1. Sort 0.4, c, b in increasing order.\nAnswer: c, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8281 + -8251. Calculate the least common multiple of w and 2490.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (9 - 9) + 13 + 3 + 31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-16) - 3078\/(-8). Suppose -14*d = -k - 2724. Let b = 129 + -84. Calculate the remainder when d is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -61*x**3 - 3*x**2 - 3*x. Let w = 12724 - 12727. Let n(y) = 6528*y**3 + 320*y**2 + 320*y. Give w*n(f) - 320*r(f).\nAnswer: -64*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 times -852\nAnswer: -5.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a\/(a**(-1\/28)*a)*a)**(-7\/2))**(-25))**(1\/16) assuming a is positive.\nAnswer: a**(2825\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7321, 29144, 65507, 116404, 181829, 261776?\nAnswer: 356239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + n + 5. Let j = 3 - n. Factor 230\/7*z**3 - 250\/7*z**5 - 200\/7*z**j + 76\/7*z**2 + 16\/7 - 88\/7*z.\nAnswer: -2*(z + 1)**2*(5*z - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -989.7804 to the nearest ten.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -9)*63\/(-28). What is the units digit of (-1)\/(-3)*c*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9816*l - 12848*l - 33216*l.\nAnswer: -55880*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 5029742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.056, -5, -2, 0, 2, -6, -10 in decreasing order.\nAnswer: 2, 0, -0.056, -2, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**3 + 14*v**2 + 181*v.\nAnswer: 12*v + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 0.5, 4, 16\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1083*d**5 - 1197*d**4 - 117*d**3 - 3*d**2.\nAnswer: -3*d**2*(d + 1)*(19*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3303 and 9225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.26 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4) + 3\/(-3). Let u = 11.18 + -520.18. Let t = -509.2 - u. Which is the third smallest value? (a) 3 (b) 0.5 (c) n (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Suppose 96*i = -70*i - 205*i + 742. Let j(r) be the second derivative of 0*r**i - 30*r + 0*r**3 + 29\/12*r**4 + 0. Determine d(j(w)).\nAnswer: 841*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*s**4 + 6388*s + 223415 with respect to s.\nAnswer: -108*s**3 + 6388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09941 + 0.80269. Let s = y + -0.91. Round s to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-120)\/28 - 2\/(-7). Let k(p) = -p**3 - 5*p**2 - 5*p - 5. Let q be k(-3). Let w = q - -10. Sort f, 6, w in ascending order.\nAnswer: f, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 6, 467711 in ascending order.\nAnswer: 6, 11, 467711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 130*h**3 - 71*h**2 - 6*h. Let g(r) = 259*r**3 - 143*r**2 - 11*r. Let x(j) = -6*g(j) + 11*k(j). What is the third derivative of x(p) wrt p?\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 4*w + 148 - 128, 5*w + 20 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5912 minus 5?\nAnswer: -5917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -521504666 divided by 2?\nAnswer: -260752333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -87*t + 20. Let w be i(-1). Let f = w + 306. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 3 + (1*(sqrt(200)*2 - sqrt(200)))**2 + -5 + -2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:07 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 27 - 36 = 0. Solve p - x = 4*q, -4*p - 3 = -q + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 11839185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:37 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -71*h**5\/5 + h**4\/2 + 140*h**2 + 452. What is the second derivative of a(d) wrt d?\nAnswer: -852*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 7*f**3\/3 + 38*f. Let q(c) = -10*c. Let s(g) = -g. Let d(z) = -2*q(z) + 22*s(z). Determine j(d(p)).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 20442.\nAnswer: 183978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(7\/(-2)))\/4. What is the second biggest value in 1\/4, 2\/3, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 - 134 - 2*h**3 + 669*h - 102 + 236 to n*h**3 + r*h**2 + c + s*h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-44988)\/3)\/(-4))\/(-1 + 2).\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.55801 to 0 decimal places.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4193448 divided by 12?\nAnswer: 349454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijji when four letters picked without replacement from aaaijaiajjjaa.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let f = 356 - 356.3. What is the closest to 2\/3 in f, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4907 minus -0.2?\nAnswer: -4906.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (3 - -5)\/2. Suppose 2*t = 3*s - 18, 0 = -2*s + 3*t + c + 16. Let a(u) be the third derivative of u**4\/24 - 5*u**3\/6 + 31*u**2 - 2. Give a(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8 - 11*y + 2 - y**2)*(-y - 2*y + y).\nAnswer: 2*y**3 + 22*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 23537, -2.6, 74, -0.2 in descending order.\nAnswer: 23537, 74, -0.2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -167, -160, -151, -140?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5))\/s**(-7)*(s**(-2\/15)\/s)\/(s*s\/(s*s*s\/(s\/((s\/((s**(-2\/25)\/s)\/s))\/s*s*s)))*s))**(-10\/3) assuming s is positive.\nAnswer: s**(-742\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1328628 and 63084.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/40*-2*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*a + 5*a = -6, 5 = -o - a. Let h = o + 35. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + 4*(-4 + sqrt(252) + 1 + 3 + sqrt(252) + sqrt(252) + 1*sqrt(252) - (1*2*sqrt(252) + sqrt(252) + -3 + 2*sqrt(252)))*4))**2.\nAnswer: -38400*sqrt(7) + 268048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, -0.2, 9, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 369.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -52\/3 (b) -0.1 (c) 3231 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 243. Is j != -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6240 divided by 156?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*x**5 + 150*x**4 - 345*x**3 + 100*x**2 + 60*x = 0. Calculate x.\nAnswer: -6, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5500 + -5504.798. What is d rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628101 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-111)\/2)\/(3 + 21\/(-6)). Suppose -4*x + w = 75. What is the remainder when 346 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 + 4338*w + 5670636.\nAnswer: 3*(w + 1996)*(w + 3788)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 15123 + 25669. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 5*g**2 + 6*g + 2. Let a be i(-6). Let m(b) be the first derivative of b**4\/2 - 2*b**3\/3 + b - 7. What is the units digit of m(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8162138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 + 0.05. Let f = 8 + -8.5. Which is the nearest to u? (a) 0 (b) f (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:53 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 184, 189, 198?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j. Let m = 14 - 9. Let p be 13\/3 + (m - 8). Which is bigger: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3079219 and 1859?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 437 + -829. Is 34 a factor of o\/(-42)*306\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i = -22*i + 312. Let w be -5*261\/81 - -3. Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l - 47*l + 4*l**2 + 207*l + 12*l + 0*l**2.\nAnswer: 4*l*(l + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9) - (-224)\/3. Let w be 2\/(-24) + 50854\/1128. What is the greatest common factor of q and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 44.9999674. Round g to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233.4319 hours in weeks?\nAnswer: 13.2942375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 56, 59?\n\"Answer: 3*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1516 + -1515. Which is the second smallest value? (a) 0.1 (b) -34 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484.2219 millennia to centuries.\nAnswer: 4842.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13251 = -4*q + 62315. Let u = 110588\/9 - q. Let d = 22 - u. What is the closest to -1\/10 in 3, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000098295593 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*1*-3)\/((sqrt(16)*-1)\/sqrt(4)))\/(6*sqrt(288)*-2 - -5*sqrt(288)*-1).\nAnswer: -sqrt(19)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25 from -4705656.\nAnswer: -4705681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 20054?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 118451.\nAnswer: -10\/118451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178014?\nAnswer: 2, 3, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 4*c**2 - 3*c. Let o be i(2). Suppose 0 = 4*f, t + o*f + 2 = 2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-7*j - 70 + 70)*(j**3 + 3 - 3).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 3*o + o)*(-o + 2 - 2) + o**2 + 0*o**2 + o**2 + (o - 2*o + 2*o)*(2*o + 0 + 0))*(-2*o**2 - o + o).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162652?\nAnswer: 2, 7, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1426 divided by -4282.\nAnswer: 713\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1242 and -23\/668.\nAnswer: 414828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/4 + l**3\/3 - l**2\/2 + 35*l - 2. Is r(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + (17 - 12 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = -10. Suppose 4*j - 40 = d*j + 2*a, -a = 5*j - 82. Let b = j + -12. Calculate the remainder when 13 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730980337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -40*q + 41*q, q = -d - 10 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*l**2 + (6*l - l - l)*(1 + 5*l - 1))*(-21*l - 29*l - 30*l) in the form o*l**3 + k*l + y + g*l**2 and give o.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -35. Let z be p\/7 + (-28)\/(-98). Solve -12 = -z*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 726*v**3 - 1885*v**3 + 75*v**3 + 3 + 313*v**3 to the form i*v**3 + w*v + y + m*v**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 7*w + 78 = 0. Suppose -w*o - 10*o = -4272. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*1*5.\nAnswer: -5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 681 + -382. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74087.\nAnswer: 13, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(40)\/(sqrt(8) - (sqrt(8) - sqrt(40)\/sqrt(5))) + 2 + (sqrt(5) + sqrt(5) + 0)**2.\nAnswer: sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyyx when four letters picked without replacement from yxyxyxxxxxyxyxyxxx?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.999925 - 6. Round y to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -134.2 and -582.\nAnswer: -716.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - v = 129, 2*q + 3*v - 68 - 57 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/(32\/768). Find the common denominator of (-3*1)\/(-50 - 0) and -9*(-2)\/24 + x\/(-20).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 + -115. Suppose 5*f = 2*f + 9. What is the tens digit of (q - f)*(3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9933375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.66 and 3904210183?\nAnswer: 3904210180.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:35 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 115 = 39*x, 5*x - 11 = -3*v - 29 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -425 - 1703583?\nAnswer: -1704118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 10*j**2 + 28*j + 26. Calculate y(9).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17602, -35212, -52826, -70444, -88066?\n\"Answer: -2*x**2 - 17604*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 379 and 115.56.\nAnswer: 43797.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4087 and 1.\nAnswer: 4087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405944895 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2320 = 88*i - 305*i - 150 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by 31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 9*t + 10. Let p be z(-8). Let r be ((-8)\/(-3 - -7))\/p. Is r smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95985, 95979, 95973, 95967, 95961?\nAnswer: 95955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o + 112. Let z be k(-12). Is ((-272)\/10)\/(z\/(-160)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + 1 + -2 + sqrt(343) + 0 + 2 + 5)**2.\nAnswer: 70*sqrt(7) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bil when three letters picked without replacement from lllsillvnvbbssl?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o = -11*o + 100 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8835*g - 104. Let r(k) = -524210*k - 6175. What is -475*d(i) + 8*r(i)?\nAnswer: 2945*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 - -110. Calculate the highest common divisor of 10 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 13. Let z(i) = i**3 - 8*i**2 - 9*i + 4. Let c be z(w). Solve -c*g - 18 = -2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131764069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -519838013934971788 + 519838016627420777.99999939. Let g = j - 2692449070. Let k = g - -80. Round k to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19*w**3 - 18*w**2 - 16*w - 5. Let q(x) = -9*x**3 + 9*x**2 + 10*x + 3. Calculate -3*m(d) - 5*q(d).\nAnswer: -12*d**3 + 9*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-21))\/(1\/((-3)\/(-4))). What is the second biggest value in q, 0.7, 0.1, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 2dc?\nAnswer: -2dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (9 + -3 + -1 + -11)) + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*-5*32\/16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 4, n: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - a + 22, -3*a = o - 4 - 2. Suppose -14 = -3*n + 7. Find the second derivative of 6*h + o*h + 42*h**3 - n*h + 6*h wrt h.\nAnswer: 252*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*t - 8806497 = 2827743. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -88, -2\/11, -236, -0.1.\nAnswer: -236, -88, -2\/11, -0.1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2837202 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 7*c**2 + c + 37. What is n(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12922*l + 4319*l + 4297*l + 4306*l - 3*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/12 + (-3 - -6)\/18. Let y be (2 - 201\/39) + 3. Let w = 7\/39 - y. Which is the nearest to w? (a) -2 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**3. Let b(d) = -19*d**3. Suppose -95 = 12*t + 7*t. What is t*b(s) - 7*g(s)?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7986850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, n: 1, t: 2, v: 1, y: 1}. What is prob of sequence tyn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 11*h + 5. Let v(b) = -4*b - 2. Let g be v(-2). Is z(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522 and 2146?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4)*q*q**(-7\/2))\/(q*q*q**0)**8)**(2\/13))**(2\/15) assuming q is positive.\nAnswer: q**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66060258.\nAnswer: 2, 3, 11, 67, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 121 + -9?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/6 + x**2\/2 + 624*x. Let d(z) be the third derivative of z**5\/60 + 5*z**4\/24 + z**3\/3 + z**2. Calculate d(y) - 2*v(y).\nAnswer: y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, -7, -3, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-18)*0\/(3\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 12 + -3 + 2 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837788 + 121094 = -66*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**4\/4 + 3*r**3\/2 - r**2 - 166*r. Let z(s) = -4*s**2 - 11*s + 3. Let y(k) = 3*o(k) + 2*z(k). What is y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 4*x = 6*z + 4212, -5*x + 2106 = 2*z. Let j = z - 648. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 105715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3946 or -3956?\nAnswer: -3956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 2. Let h = 37 - 38. Let z be y(h). Suppose q = -j + 117, z*j + 5 = -5. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2497 is divided by 180.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470884629.\nAnswer: 3, 29, 5412467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 + 7*l**2 + 11*l - 3. Let h(u) = 10*u**2 - 2 - 2*u**3 + 6*u + 4*u**2 - 10*u**2. Determine 7*h(o) - 4*n(o).\nAnswer: -2*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 124342474.\nAnswer: 124342477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 149 = -7*x. Let g be 48\/x*3\/((-6)\/10). Solve g*l + 12 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255203 - -44660397\/175. Let c = -4\/25 - r. Let j be -2 + 2 + (3 - (0 + 0)). What is the nearest to -1 in 1\/2, c, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -28*o - 198. Calculate the common denominator of 4186\/(-13860) - (-4)\/o and -89\/18.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359857, 359845, 359829, 359809, 359785, 359757, 359725?\nAnswer: 359689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 1. Let s(p) be the second derivative of -p**3\/6 + 7*p**2\/2 + 677*p - 2. Give 2*f(j) - s(j).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 273 + -271. Suppose -5*k + 30 = 4*g, 0*k = 4*k + a*g - 18. Suppose -2 = -3*s + 10. Solve -1 = -k*c - t + s, -2*c - 2*t + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12008 and 760.\nAnswer: 60040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7974*h**3 - 12*h**2 + 33*h - 20. Is r(1) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 40963562.\nAnswer: 4096356.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -2. Let c be 116\/(-170)*2 - (-4)\/(-10). Let i = 236\/153 + c. Are i and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 11) in base 15?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/11 - 110*u**2 - 46404*u\/11 - 87984\/11 = 0. What is u?\nAnswer: -564, -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84) - (sqrt(84) + sqrt(84)*-2 + sqrt(84))) + sqrt(84))\/(-2*(sqrt(12) + sqrt(24)\/sqrt(2))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 1 - 8 + 7 + v**2 to g*v**2 + q + y*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2. Let b(o) be the second derivative of 1\/3*o**4 + 11*o + 0*o**3 + 0*o**2 + 0. What is c(b(j))?\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229411.02 * 0.01.\nAnswer: -2294.1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20021 is divided by 1713?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -721 + 894.7217\nAnswer: 173.7217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*p + 307*p - 1757*p = 149*p + 7926 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.34 - -53.66. Let q = 53.96 - o. Let s = -1.04071 - q. Round s to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.063 * -0.2\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - c + 1455 - 1473, -806 = 221*x - 3*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 57 + 5)*(-4*d**3 + 3*d**3 + 3*d**3) + (-2*d + 2*d - d**3)*(0 - 1 + 2) to the form j + s*d**2 + c*d**3 + n*d and give c.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 117. Let h(q) = -q + 1. Let s(b) = 19*b + 2. Let a(n) = -6*h(n) + 3*s(n). What is the tens digit of a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21.9, 0.5, -5, 3.1 in descending order.\nAnswer: 21.9, 3.1, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 62 - 1\/5*q**5 + 0*q**2 - 1\/2*q**4 + 0*q + q**3. Factor p(g).\nAnswer: -g**2*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -27, -34, -39, -42?\n\"Answer: c**2 - 12*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 2, e: 10, r: 2, d: 2, f: 1}. Give prob of sequence dzd.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24870 and 10.\nAnswer: 24870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30, -229, 1, -5.\nAnswer: -229, -30, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 47 - 1 = 0. Let r(i) = i**2 - 11*i - 13. Let j be r(t). Suppose -2*k + 5*q = -11, 2*k + q = -3*q - 16. Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61, -86, -113, -142, -173, -206?\n\"Answer: -g**2 - 22*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71303 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/925 or -2438?\nAnswer: -2438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 89769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3506 (b) -2 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9886*z**2 + 7 - 7.\nAnswer: 9886*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(240)\/sqrt(2))\/sqrt(10).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12738.955 - -12775. Let f = c + -36. Let h = -0.445 + f. What is the closest to 0.1 in 2\/9, h, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 1.5602?\nAnswer: -51.4866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 25 + 5 = 0. Let h be -1 - (t - (-68)\/20). Find z such that -h*z + 6\/5 - 3\/5*z**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 - 6*o + 9. Let h be r(-8). Let t = h - -10. Suppose i = 5*v - 145, 0 = i + t*i. What is the remainder when v is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17821 divided by 251.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*z + 20*z + 36*z + 3*z in the form v + t*z and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-2)\/6*-67. Let a(t) = 2*t + 121. Let i be a(0). Let s = i - j. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -135 and -1\/2159 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w**2 - 2*w + 1. Let x be z(1). Suppose 2*g = g + 5. Suppose 0 = 3*d - g*i + x, 4*i - 14 = -d + 1. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**4\/4 - 27*d**3 - 1599*d**2\/2 + 1681*d + 303. Factor h(u).\nAnswer: -(u - 1)*(u + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*y**3 + 3740*y**2 + 300*y.\nAnswer: -5*y*(y - 30)*(25*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3 + 0*v**2 + v**2 + 3*v + 0*v**2. Let q(f) = f**3 + 8*f**2 + 10*f + 15. Let g be q(-7). What are the prime factors of r(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 84 = -4*p, 0 = -14312*p + 14329*p - 306 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.95394s to minutes.\nAnswer: 0.015899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/7 - (-178)\/(-623). Solve -17 = -4*p - w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345881 is divided by 308?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -20\/16539421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 536 and 737?\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**4 + 4*l**3 - 269*l**2 - 409896*l wrt l.\nAnswer: -48*l**2 + 24*l - 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85672700 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 value of 3 + (-2 - (-8 - -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 9151038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-15))\/(4\/10). Let v(t) = -t**2 - 3*t**2 + n*t**2. Let j(h) = -20*h. Determine j(v(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 1, -3.\nAnswer: -3, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(1\/6))\/n**(4\/9))\/(((n*n**(-9)*n)\/n*n)\/n**11))**(1\/47) assuming n is positive.\nAnswer: n**(331\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 18. Let v(w) = -w**2 - 4*w - 3. Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 3\/20*h**5 + 0*h + 1\/120*h**6 - 2*h**2 + 1\/4*h**4 + 7\/6*h**3 + 0. Is o(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532, 535, 538, 541, 544?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2435194\nAnswer: -9740776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 2 + 9*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 n when three letters picked without replacement from {n: 3, t: 13}?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -594*i + 13. Let g(f) = 602*f - 11. What is -7*g(d) - 6*p(d)?\nAnswer: -650*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05811 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:50 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19290, 19660, 20030?\nAnswer: 20400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.2 - 31.7. What is the closest to -2\/17 in -0.4, -2, n, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Suppose -o*r = 5*p - 430, 2*r - r = 5*p + 86. What is the remainder when r is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000811901 rounded to five decimal places?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.1, 4, 1\/6, -2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 40. Let n = 34.8 + s. What is the second biggest value in 3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86423 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0*r. Suppose 2*w - 4*m - 20 = r, -3*w = -4*w - 2*m - 2. Suppose 5*v - p - 157 + 5 = 0, 109 = w*v - 5*p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1735, 8, -6, -2, 7, 2, -4.\nAnswer: -1735, -6, -4, -2, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w + 24. Let o = w + 6. Is 3 - (-1)\/o*2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7aa89 - f?\nAnswer: -7aa98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186514500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2027 (base 8) to base 6.\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4 = -4*t + 2*t, 8 = 4*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17942 rounded to three decimal places?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 11*y**2 + 3*y - 43. Let q be n(-10). Find the second derivative of -q*j**2 - 226*j + 15 + 224*j - 10*j**2 wrt j.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*m = m + 120, 4*m = -3*b + 114. Suppose 0 = 3*t - 8*t - 25, 23 = -w - 5*t. Let h be w\/(-10) + b\/10. Which is greater: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 8)*(1 - 5 - 1)*(0 + 4*o - 3 + 4).\nAnswer: 240*o + 60","meta":{"dup_signals":{},"source":"polynomials__expand_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: Which is smaller: 752820 or 2258456\/3?\nAnswer: 2258456\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 320004 (base 8) to base 12\nAnswer: 51770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-12)\/(-8))\/(399\/(-140) + 3))*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 9*b**5\/10 + 2*b**4 - 13*b**3\/6 - 4*b**2 + 2*b + 4. Determine o, given that n(o) = 0.\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wskuwiqu. What is prob of picking 1 u and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 8 (c) 4 (d) -0.025 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**6\/360 - m**5\/24 - 3*m**4\/8 - m**3\/3 - 2. Let g(d) be the third derivative of v(d). What is the units digit of g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1742313)\/25908 + (-14)\/8?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 + 155. Put f, -4, -35 in descending order.\nAnswer: f, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62577 and 949059?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51300643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1059 by -11.\nAnswer: -1059\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1\/6))\/s)\/s*s*s)\/(s**(-2)\/s)*s**4\/(s*s**(-3\/5)) assuming s is positive.\nAnswer: s**(233\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 130485216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -3 (c) -27 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5 + 3632*i**4 + 29430*i**3 - 448892*i**2 + 342464*i + 817152 = 0.\nAnswer: -16, -1, 2, 7, 1824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**9\/2016 - u**8\/560 + u**6\/120 - u**5\/80 + 5*u**3\/3 + 2*u**2. Let l(g) be the first derivative of x(g). Solve l(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10387306*i**2 + 7294167.\nAnswer: -20774612*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 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: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4873*k**2*m - 26*k**2 + 11588*k*m - 2*k + 4*m wrt k.\nAnswer: 9746*m - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1249, 1480, 1845, 2344, 2977?\nAnswer: 3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*q + 152*q + 121*q - 3393 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 1700250 - 850122 + 16*n - 850128.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 4. Let k be j(6). Find the second derivative of t**2 + 3*t**2 - t + k*t**5 - 4*t**2 wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 22. Let d be w(-13). List the prime factors of 115\/((45\/(-10))\/d).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1104309 divided by 12\nAnswer: -368103\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*r + 7625 = -12313 - 4038 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-3)\/(18\/131) and -91\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49938 divided by -8323.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3806, 3808, 3810, 3812, 3814?\nAnswer: 3816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -428, -1006, -1586, -2168, -2752, -3338?\n\"Answer: -n**2 - 575*n + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*z + 56 = 2*c, 0 = 3*c + 5*z - 10. Let y(w) = -c + 2 + 13*w + 0*w. Is y(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*g*w**3 + g*w - 27*g + 26*w**3 - 6*w**2 + 2 wrt w.\nAnswer: 786*g + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)*m*m)\/(m*m\/(m*m**23)*m*m)*m**(-2\/3)\/(m*m*((m**11*m)\/m)\/m) assuming m is positive.\nAnswer: m**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/120 + 23*s**5\/60 + 5*s**4\/6 - 4*s**3 + 47*s**2. Calculate the remainder when 47 is divided by l(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -50*q. Let z(y) = -2*y - 8. Give v(z(n)).\nAnswer: 100*n + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*f**4 + 37*b*f**3 + 3*b*f - 832*b + 16154*f**4 + 2*f**3 - 3*f**2 - 332*f wrt f.\nAnswer: 96*b*f + 222*b + 387696*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24040 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-16 - (3 - 1) - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjkjkkjjjjj. Give prob of sequence jjj.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**5 - 147084*o**4 + 2*o**3 - 5*o**2 - 643409*o.\nAnswer: 180*o**2 - 3530016*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l - 6*l + 2*l)*(1 - 3 + 0) + (5 - 2 - 1)*(9 + 4*l - 9) to the form j*l + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**2*j)\/j)\/((j\/j**(-2))\/j*j))\/(j**(-1\/5)\/j)**(6\/7) assuming j is positive.\nAnswer: j**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -16352, -26\/5, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*b = -230*b - 10206 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhkjegnjkkhk. Give prob of picking 1 n, 1 g, and 1 h.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -12\/5*u - 10 - 1\/5*u**3 - 9\/10*u**4 + 14\/5*u**2. What is g in x(g) = 0?\nAnswer: -3\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*r + 30 = -169*r. Let c be -9*(-4)\/18 - r\/6. Let h(o) = o**3 - 3*o**2 - 3*o + 4. Let l be h(3). What is the fourth smallest value in 5, 1, c, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*w + 20*w + 24*w + (-7*w + 4*w + 2*w)*(-4 - 1 + 1))*(6*w - 2*w - 5*w) as b*w + o + a*w**2 and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(30\/5)\/24*(-8)\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -162*r + 163*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 80.7. Which is the fourth smallest value? (a) -8\/5 (b) 1\/4 (c) x (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -2) + -2 - -3. Solve 35 = 3*p + o*h, -17 - 19 = -4*p - 4*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 1:42 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (18 - -5 - 11) + (-47 - -5 - 4)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -435453 divided by 346?\nAnswer: -435453\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*c - 94, 64*c = 62*c - 4. Solve 0 = 4*x - 56 + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160822*i**4 - i**3 - 10972*i**2 - 3*i - 4 wrt i.\nAnswer: 3859728*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106262179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81162.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2\/7, 7\/844234?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 6*v - 101 + 50)*(-2 + 2 + 30*v)*(1 + 3 - 2).\nAnswer: -360*v**2 - 420*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-51)*-105)\/(640\/(-1664)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-8) + -1 - (-91)\/(4368\/18). Solve -5*r + 4*i - 27 = q, -2*r + 12 = -3*i + 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 32594\/41, -26\/17, 3 in descending order.\nAnswer: 32594\/41, 3, -26\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v**(1\/5)*v*v)**(3\/7)*(v**(2\/7))**(7\/4)\/((v**5\/v)\/(v\/v**(2\/19))) assuming v is positive.\nAnswer: v**(-5631\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 - 5*m + 1. Let v be p(5). Suppose 11*n - v = 7*n. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*h = 6*h - 4, 0 = 3*a + 4*h - 14. Let v(s) = -3*s + s**a - 5 + 8*s - s - s. Give v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 9*h**2 + 5*h - 3. Let y be u(-7). Is (-686)\/(-10) + 24\/y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 6. Let m = 215428.759 - 215418.7590011. Let d = m + v. Round d to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37330861?\nAnswer: 17, 2195933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 0\/(-8 - -3). Suppose -4*z - z = n*p - 33, 5*z + 4*p - 29 = 0. Let r be 36\/27*(-9)\/(-6). Solve -d = b + r, -b = -4 + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 312.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f + 151. Give c(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 + 992*g + 61504 = 0 for g.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -5, 0.3, 6, 0.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 36 + 22 = 68, 0 = -s + 4*m - 40 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3673 rounded to 2 dps?\nAnswer: 2.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9a0e1 (base 15) to base 9\nAnswer: -825524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.187061375 to 4 dps.\nAnswer: 0.1871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 9.705.\nAnswer: 11.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - s + 4. Let z be y(0). Suppose 5*b + w - 73 = 0, -z*b + w - 2*w = -58. Calculate the remainder when 57 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14375 and 6614225?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 + 70644*h**4 + 282495*h**3 - 776934*h**2 + 423792*h = 0. What is h?\nAnswer: -23544, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 921349?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 12*p - 3*p)*(-6*p + p + 3*p) + (3 + p - 3)*(-3 + 3 - p) + 3*p - p**2 - 3*p + 3*p - 3*p + 3*p**2 + 3*p**2 - p**2 - p**2 + 2*p - p**2 - 2*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89931690 divided by -17986338.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378680 is divided by 166?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 273484005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -455, -278, -101?\n\"Answer: 177*p - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffywwfwwywyffyww. Give prob of picking 3 f.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5072 + -5072. Let l(v) be the first derivative of 0*v**2 + w*v**4 - 19\/5*v**5 - 16*v + 0*v**3 - 9. Differentiate l(m) wrt m.\nAnswer: -76*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33\/20 - 7\/5. Determine c so that -d*c**3 + 1\/4*c - 1\/2*c**2 + 1\/2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -3, -20, -3\/7, -70 in descending order.\nAnswer: 0.6, -3\/7, -3, -20, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -312 - -4066\/13. What is the common denominator of l and 11\/(-44) + 159\/28?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 65 = 3*s, -3*p + 0*p = -s - 20. Let b = s - -27. Let z(q) = -q**3 + 5*q**2 - q + 5. Let j be z(5). Solve j = 5*a - b - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527438 is divided by 151?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -62*g**3\/3 - 2409*g**2 + 5993*g + 1190\/3 = 0?\nAnswer: -119, -2\/31, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -0.1, -0.016?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 20 = -11*a. Suppose 44*j + a = 43*j. Let n(o) = -2*o**2 - 3*o - 3. Determine n(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (30 + -93)) + -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 2. Let g be v(5). Let h(d) = d**g - 4*d + 9*d + 5*d**2 + 0*d**3. Let n be h(-3). Solve z = -n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 652102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 >= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z - 10, -o - 3*z + 96 = 0. Suppose -2*n = v - o, 5*n + v = 258 - 9. Is (-39 - -3)*n\/(-2) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53492 times -4?\nAnswer: 213968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5775 + 13972. Suppose 3*q = a - 26197. Round q to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14026, -14092, -14210, -14386, -14626?\nAnswer: -14936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 5, 35, 87, 167, 281, 435, 635?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479 = -12*c - 1008 + 493 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 12*r - 243. Let g be d(-32). Solve -409 = -4*j - g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (1797 - 12\/2) + -1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.99999965 - 26. Round x to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48672 and 2538.\nAnswer: 6862752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*d**2 - 18*d + 0 + 33\/2*d**3.\nAnswer: 3*d*(d + 1)*(11*d - 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*r + 860 = 0, 2*h = 2*r - 246 + 1082. Let n = 65 + h. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-43)*(x**2)**2 assuming x is positive.\nAnswer: x**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/8 of a kilometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) -3\/7 (c) 5\/6 (d) -2\/11 (e) -2\/17 (f) 1\/9 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1344 + 1350. Let j(y) = -5*y - 11. Let i be j(-8). Suppose -5*g + i + f = 0. Calculate the highest common factor of g and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) -4 (c) -2\/1259 (d) 34\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -49*r + 10. Let a be z(-1). Suppose 8*j - 293 - a = 0. What is the remainder when 126 is divided by j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -106. Let n = -4\/493 - 152802\/3451. Let v = l + n. Which is the biggest value? (a) -5 (b) v (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/45*(-3)\/(-27)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28627 is divided by 358.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/((-22)\/(-4)) - (-2 + -5). Suppose -3 = c*x + 3*o + 1, -o = 3*x. Sort 2, -16, x, 5 in descending order.\nAnswer: 5, 2, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240170471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1084684192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 469*d**2 + d - 1548. Let m(z) = 1401*z**2 + 4*z - 4644. Let o(l) = 10*i(l) - 3*m(l). What is the derivative of o(q) wrt q?\nAnswer: 974*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*o + 10, -g = 2*g + 4*o + 35. Let n(i) = i**3 + 8*i**2 + 4*i - 7. Let j be n(g). What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = -3*h + 5*h, m - 4*h + 18 = 0. Calculate the common denominator of m\/9 - (-113)\/18 and (-18)\/(-42) - (-918)\/(-84).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12145991 - 7185991. Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 3*f)*(-3 + 4 - 3) + 11*f + 0*f + 2*f - f - f + f + (-2 + 1 + 3)*(-f + 2*f - 2*f) + 0 + 0 - f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229381345 to the power of 1\/2, to the nearest integer?\nAnswer: 47216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-12)\/90))\/(12\/64*(-13)\/(-13)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 minus 40.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(15\/70)*(-3960)\/(-50820)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2 = 2*y, 2*y + 3 = -356*p + 359*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5638776 and 336232?\nAnswer: 5512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34.5, -2, 1\/6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-2))\/((-105)\/(-20)))\/((-54)\/(-126))*-21\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 552.7 in 2\/7, 1.2, -1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -33, -55, -95, -159, -253?\n\"Answer: -x**3 - 3*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 smaller than -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115450616 to the power of 1\/2, to the nearest integer?\nAnswer: 10745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41.7? (a) 2 (b) 18 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080 divided by -80?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16020 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*b + 85*b + 4 = -4*h, -h = b - 11. Solve -b*u + 9*u = -2*a - 3, -5*a = 4*u + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 4, -4, -50?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 73*g**2\/2 - 664*g + 437. What is the first derivative of u(r) wrt r?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4768916 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -21.74. Let b = i - -0.2601. Round b to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25503753?\nAnswer: 3, 11, 59, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 29738952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5006?\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131\/340 - 1\/68. What is the nearest to -2\/5 in 0.3, 1\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 328*j + 6063. What is c(-54)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20323110 - 22?\nAnswer: -20323132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780187899 to the power of 1\/2, to the nearest integer?\nAnswer: 42192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 9) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41878 + 41908. Suppose 2*r + 2 = -4. What is the remainder when 443\/3 + r\/(-9) is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/17)*k**(-1\/15)*k**(-7)\/k**(3\/11) assuming k is positive.\nAnswer: k**(-20752\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 26802\nAnswer: 107208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54407314103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:39 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1080*u**2 - 196*u - 2. Let r(t) = -3*t. What is r(c(z))?\nAnswer: -3240*z**2 + 588*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 262 + -4?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 3*q**2 + 4*q + 3. Let p be w(-4). Suppose -p*l = -0*l - 75. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14386 - -14418.024. What is t rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 4284067039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 379600 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose -4*m = c + c - 90, 2*m - q*c = 50. Let g = m + -14. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2951236 and -29\/49433203.\nAnswer: 197732812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 2, i: 7, a: 4, z: 2}. Give prob of picking 1 r and 1 s.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k - 3*k + 183*k + 2*k**2 + 2 + 2 - 178*k. Calculate s(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3\/5 (c) 3\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5967 + -5964. What is the third smallest value in -108, f, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -2107120576?\nAnswer: -2107120572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -1 + 386 + -346 - 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5277354 and 854?\nAnswer: 36941478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32192120 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9*s = 273. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/60 + 1)*(-72)\/(-120).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810477838.\nAnswer: 2, 405238919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 0 + 0 - (-12 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*a - 26, 2*c = 4*a - 16 - 16. What is the smallest common multiple of a and 20 + (0 - (-1 + -1))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = r - 1, 4*r - 5*n - 13 = 0. Suppose r*a = -2*a + 5*a. Let s(v) = -v**2 - 2*v + 7. What is the units digit of s(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53\/2 + -26. Factor -s*a + 1\/4 + 1\/4*a**2.\nAnswer: (a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348970*b**3 - 386529*b**2 wrt b?\nAnswer: -2093820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 0. Let t be ((-1050)\/(-4))\/(-7)*q. Let z = 451\/6 - t. What is the common denominator of 46\/9 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 25*u + 2557. Let r be s(0). Suppose -6*n - 523 + r = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 2865.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12929992*m**2 - 395*m - 277 wrt m?\nAnswer: 25859984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*x, 14 = -279*y + 280*y + 4*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120510 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 2*i - 2. Let p be q(-2). Let t = p - 6. Solve 4*a = t + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/10 - 3\/15. What is the greatest common factor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.816418581 - 0.04.\nAnswer: -41.856418581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(99\/4) + 2250\/165?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:17 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -241*q - 6733. Let v be m(-28). Solve -5*u - 7*h = -12*h - v, 3*h = 4*u - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 5*q**2 - q + 7. Let w(g) = g**2 + 5*g + 5. Let c be w(-5). Let a be m(c). Is (-22)\/(-4)*a - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*i + 134, -4*a + 16 = -2*i - 164. Calculate the highest common divisor of 897 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Suppose 5*t + 0 = l. Solve -n = -t - 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -496\/3 + 164. Does n = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 6*p**2 - 4*p**3 - p**4 - 375 - 374 + 748 to the form h*p**2 + z*p + a + i*p**3 + q*p**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5634 - 3963. Round d to the nearest 10.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 60 = 2*t. Suppose -4*x - t = -9*x. Suppose -42 = -x*l - 0*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301 or -7548?\nAnswer: -7548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4297 + 6550. What are the prime factors of q?\nAnswer: 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(1\/3))\/j)\/(j\/j**(2\/5))*j**(4\/11)*j\/(j*j*j**0))\/((j**(1\/8)*j*j**6)\/(j**(-2\/13)*j*j**5*j)) assuming j is positive.\nAnswer: j**(-31721\/17160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.836483 and 282.\nAnswer: 281.163517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - 12*j - 95*j)*(j**3 + j**3 + 0*j**3) + 11*j**3 - 3*j**4 - 2*j**4 - 8*j**3.\nAnswer: -233*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + y - y + (2*y - 2*y - 2*y)*(y + y + 3*y) + (3*y + 2*y**2 - 3*y)*(-1 + 0 + 0).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 + 1)*(-q**3 + 0*q**3 + 0*q**3) + 2*q**3 - q**3 + q**3 + (1 - 1 - 2*q)*(q**2 - 2*q**2 + 0*q**2) - q**2 - 6*q**3 + q**2.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -4 - sqrt(275))*4 + 3*(sqrt(275) - (sqrt(275) + 3 - sqrt(275)) - sqrt(275)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**9*f**10)\/((f*f*f\/(f\/f**5)*f*f)\/f**(4\/3)))**(-36))**(-1\/29) assuming f is positive.\nAnswer: f**(444\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 289712064 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 676 + -676. Sort d, 3, -8, 3\/5.\nAnswer: -8, d, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 1152306. Let h = -84102 + t. Round h to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 - 1. Let j(x) = 2*x**3 - x**2 + x. Let t = 10 - 9. Let f be j(t). Does 7 divide i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-32 + 32 - 99*t).\nAnswer: 198*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1, -777554 in descending order.\nAnswer: 1, -1, -2, -777554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02183 rounded to four dps?\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-278*x + 1 + 64*x - 71*x)*(4 - 3 + 1)*(1 - 1 + 1)*(4 - 4 + 2) to v + j*x and give j.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 y when three letters picked without replacement from {y: 1, r: 1, i: 2, p: 2, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 31 = -o, 17 = q - 0*o - o. Let l = -769 - -1096. Let b = -307 + l. Solve -3*d - 2*d = 5*f - b, 0 = -3*d - 4*f + q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -52. Solve g*m = -3*a + 26, -5*a = m - 10 - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 12343002?\nAnswer: 12343013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 3*w + w - w + 5*w - 2*w + (w - 1 + 1)*(-1 - 1 + 3) in the form v*w + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((6 - 19) + -13)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p*p\/(p\/(p\/(p*p\/p**(2\/21)))))\/p)\/p)*p**(-4\/3)*p*(p**(-2)\/p)**(-27) assuming p is positive.\nAnswer: p**(585\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/13 - 4*p**3\/13 - 8*p**2\/13 + 16*p\/13 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-130))\/(21\/30)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12194 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 586*t**2 - 53872*t - 1588040.\nAnswer: -2*(t + 74)**2*(t + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:09 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 181 = -5*y + 904, 282 = 2*y + 2*g. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3023.053t to kilograms.\nAnswer: 3023053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.12746 - 0.055687\nAnswer: 0.071773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (5 - 15\/5). Let i(b) be the third derivative of 0*b + 1\/2*b**3 + 0 + 4*b**4 + 96\/5*b**5 + 2048\/35*b**7 + 256\/5*b**w - 4*b**2. Factor i(z).\nAnswer: 3*(8*z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 + 2*y**3 + 2*y**3)*(y + y - 4*y) - 39*y**4 - 405*y**3 + 405*y**3 in the form b*y + w + p*y**2 + n*y**4 + h*y**3 and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -4.89?\nAnswer: 5.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0)*(-1)\/3. Let a(q) = q + 4. Let g be a(3). Let u = g + -7. Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140022 is divided by 305?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {o: 3, r: 2, m: 4, q: 4, x: 1, l: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17886988 and 1640?\nAnswer: 178869880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqwqwwqwq. What is prob of picking 2 w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -49.8, -0.2, -0.4 in decreasing order.\nAnswer: -0.1, -0.2, -0.4, -49.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -22224184?\nAnswer: -22224183.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) 19 (c) 2 (d) 11 (e) -7 (f) 0.5 (g) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3558618 and 94452?\nAnswer: 120993012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24874917?\nAnswer: 3, 8291639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j - 84. Let y be j\/16 + 2\/8. Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*w + 2*f, -f - 4 = -4*w + 17. Solve -4*a - 20*j + 22*j = 10, w = -4*a - 2*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/3)\/((-11)\/3). Suppose o + l + 3 = -312, -3*l + 957 = -3*o. Let s = 316 + o. Which is greater: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -553, -845, -1137?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-48)*6\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 269728690 and 4983440?\nAnswer: 2157829520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/14*-2 - 335\/(-2100). Let w(f) be the third derivative of 0*f + j*f**5 - 1\/2*f**3 - 1\/12*f**4 + 0 - 7*f**2. Calculate w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9195)\/10)\/(8\/(-16)).\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 + c. Let u(v) be the first derivative of 15*v**4\/4 - 4*v**3\/3 + 2*v**2 + 151. Let s(h) = 24*j(h) - 3*u(h). Factor s(m).\nAnswer: -3*m*(m - 2)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w**4 - 2 - 2*w**4 + 2*w**4 - 3*w**4 + (2*w**3 + 0 + 0)*(-w + 0*w + 3*w))*(-105*w + 666 - 666).\nAnswer: 105*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-15) - 140\/30. Suppose y - 46 - 150 = 0. Let o = 789\/4 - y. Which is the second biggest value? (a) 4 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 8243589159.\nAnswer: 8243589156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 + -1 - (-13 + 4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 12\/(-8)*-2*-1. Suppose 0 = 5*p - q*p - 15. Let a be 962\/8 - (-1 - p\/12). Calculate the greatest common factor of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -331 + 0 + (9 - (-40)\/(-4)). Is v greater than or equal to -334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -393\/4. Let w = 0.9 - 1.8. Let n = -1.2 - w. Which is the smallest value? (a) 0.4 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-2 + -1 - 0). Suppose -y - 6*w - 11 = -3*w, 4*y = 4*w + 4. Let v = y + 4. Solve l = -v*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*s - 22 = 0, 35*f = 34*f - s + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 3. Let s be o(4). Suppose -3*q + 14 = 5*a, 5*q + 3*a - s = q. Suppose 2*l = -3*y + 8 - 3, q*y - 5*l = 19. Put y, 0, 5, -2 in decreasing order.\nAnswer: 5, y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -31*p**7\/840 - p**5\/120 + p**4\/24 - 2*p**3\/3 - 6*p**2. Let f(s) be the first derivative of x(s). Is f(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31715 is divided by 2620?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*1100 + -1 + 1. Suppose -2*k = -k + c. What is k rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -164*y + 3. Let o be i(6). Let n = o - -3268. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k - 6*k + 8*k)*(-3594*k + 976*k - 2154*k + 1557*k - 3005*k) in the form i + r*k + l*k**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -446 + -1?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18915357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let z = -20\/153 - -6\/17. Which is the smallest value? (a) 3 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-594)\/729)\/(3*6\/(-27))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k - 1188 = 2*l, 0 = -3*k - l - 3584. Let y = k - -1753. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/((-28)\/16))\/2. Is 14 a factor of (3 + -7)*(-49)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-13)*o)\/(o\/(o\/((o\/(o**6*o*o))\/o))))\/(o**(-7\/2)\/o**(2\/3)))**(-26) assuming o is positive.\nAnswer: o**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.6971084 less than 0.247?\nAnswer: -58.4501084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (74\/(-4))\/(1\/(-14)). Suppose -d*l + 5 = -254*l. Solve 0 = -4*a - l - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79201 divided by -9.\nAnswer: -79201\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let h(p) be the third derivative of 1\/6*p**4 + 0 - 2*p**2 + 1\/3*p**3 + 0*p. Let j(i) = 5*i + 3. What is n*j(a) - 3*h(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 11389?\nAnswer: 125279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*w**5 + 52*w**2 - 7*w**5 + 13*w**4 - 4*w**4 - 6*w**5 wrt w?\nAnswer: -120*w**2 + 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367470.\nAnswer: 2, 3, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 4) to base 15\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 6, o: 4, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l**3 - 23*l**2 + 90*l + 27. Let s(n) = -6*n**3 + 11*n**2 - 40*n - 14. Give -4*g(k) - 9*s(k).\nAnswer: 2*k**3 - 7*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 2 + (-11 - -15) + 24.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7191 by 184.\nAnswer: -7191\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7657331 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -8*j**5\/9 - 703700*j**4\/9 + 12320228*j**3\/3 - 494289536*j**2\/9 + 237992560*j\/9 = 0?\nAnswer: -88015, 0, 1\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 11*o**2 + 9*o - 4. Give x(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*q + 13825, -16 = -3*h - 1. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.06, 1\/5, 0.051, 3\/8 in ascending order.\nAnswer: -1\/4, 0.051, 0.06, 1\/5, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130860, -4, 9 in decreasing order.\nAnswer: 130860, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3551*n**3 + 26*n - 24?\nAnswer: 21306*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13525500 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -3*x + 3*l - 13, -5*x + 3*l + 35 = 0. Let y be -2*x\/4 + -60. Let c = 73 + y. Solve -2*u - 5*j - 22 = c, -5*u + 5*j + 5 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 228 = -168. Suppose -o = -2*i + x - 1, 4*x = -3*i + 38. Solve v - i = 2*q, 5*v + 4*q = -0*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*q + 2015 + 2305 = 5608 + 68072 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -d61f (base 16) to base 6\nAnswer: -1101435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.92\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2*q*t - o**2*t**2 + 146*o*q*t**2 + 2*q - t**2 + 55*t with respect to q.\nAnswer: o**2*t + 146*o*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, 3.\nAnswer: 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -d - 12, -f - 7 = -3*d - 19. Let t be 6 + (-366)\/42 + 2\/(-7). Sort 0, t, f in decreasing order.\nAnswer: f, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/3))**(-1\/87)*(q\/(q**(-1)*q))**(-40))\/((q*q*((q\/(q**(-1)*q*q))\/q)\/q)**(1\/40)*(((q*q**(-1\/4)*q)\/q*q)\/q*q)**(-3\/4)) assuming q is positive.\nAnswer: q**(-161639\/4176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 17433?\nAnswer: 17440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6641196 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a week in hours?\nAnswer: 5124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 36. Let s be (11 + -1)*(-8)\/(-16). Let d be (-3)\/15 - 2\/(-10). Solve -s*j + z + 11 = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 163 = 215. Let r = a + -36. Solve -w - 4*t = -t + r, -5*w - 25 = 2*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352748169 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b**3 - 2*b**2 - 3*b**3 + b**2)*(-18 + 3*b + 32 + 1) to the form v*b**4 + m + y*b**3 + j*b + g*b**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7477328?\nAnswer: 2, 467333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 10086253\nAnswer: -20172506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*y - 37 = 0, -3*o + 5*y + 103 = 2*y + 104 - 46 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3025606 + 4356806. Suppose 3*v + v = f. Let q = -172800 + v. What is q rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -758*w**2 - 14*w + 1. Let x(f) = -f**2 - 7*f + 1. Calculate q(r) - 2*x(r).\nAnswer: -756*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -20, 28, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447 and 2831?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 87625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t - 7 + 7 = 0. Does 13\/53 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + -1 + (120\/8)\/(-3). Let x(c) = c + 1. Let i(d) = -3*d**2 + 18*d + 18. Let s(k) = p*i(k) - 18*x(k). Let f(v) = -27*v**2. Determine f(s(w)).\nAnswer: -243*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*h + 18 = 2*u - 97*h, 5*h = u + 13 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + w = -17, -2*p + 0*w + 4 = -5*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2 - 2) + -18)*(-153)\/18. Suppose 3*b + s = j, -7*b - 584 = -4*j - 2*b. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {k: 5, g: 2, z: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-56)\/(-36) + (-3752774)\/(-261)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24875 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 25 = z, -2*i - z + 53 = 2*i. Suppose -a = -5*r - 0*a + 365, -4*a = 3*r - 242. List the prime factors of 24\/(-84) + r\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7604304*b**2 - 4848155.\nAnswer: 15208608*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 14*m + 16. Let b be s(6). Suppose -2*i + 3*o - 26 = -3*i, 5*o + 53 = b*i. Suppose i*y - 12*y = 1140. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/12 + 312\/(-9). Let d be 4\/p + 2002\/(-34). Calculate the common denominator of -3 - (d\/10 + 0) and -67\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34*0.05\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 454160 (base 16) to base 14\nAnswer: 8620a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2316397359.\nAnswer: 3, 29, 149, 178693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 - -20.37. Let w = d - 20.11. Let m = w + 0.01. What is the closest to m in -2\/9, 3, -3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -30. Suppose 0 = -4*a + u*a + 6. Solve a + 0 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**2 + 26*m**2 - 63*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)\/sqrt(3)*-4)\/(2*(sqrt(4) + sqrt(8)\/sqrt(2))))**2 - ((2 + sqrt(11))*3 - (sqrt(11)*1*-4)**2))*-4*3.\nAnswer: -2172 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -73.2 (b) 0.01 (c) 0.02 (d) -0.5 (e) 19.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/2*1 + 7. Suppose s = -2*v + v + 56, 2*v - q*s - 118 = 0. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179472445?\nAnswer: 5, 29, 797, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*r = 3*r - 1380 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z - 2. Let y be z\/(-5)*(1 + 4). Let j = 15 - 14.9. Which is the nearest to -1? (a) j (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 119, 402, 943, 1826, 3135?\n\"Answer: 14*d**3 + 3*d**2 + 2*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -122466?\nAnswer: -122466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 46, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 22 = -4*f, s + 4 = -2*f + 5. Suppose -3*q + 2 = -2*a, q + f = -a - 3. Suppose 0*u - 6 = 2*u. What is the nearest to -1\/3 in u, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 23*n - 2. Let z be s(1). Suppose z*g + 48 = 24*g. Solve g = 2*y + 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1175, 2352, 3529, 4706?\n\"Answer: 1177*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 0.4, -26829?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 19 - (12 - (9 + -5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 4*o**2 + 3*o - 4. Let l(f) = -f**2 - f + 1. Suppose b + 4*r + 8 = 0, 0*r = 3*b + 4*r. Suppose 0 = 949*z - 954*z + 5. Give b*l(s) + z*x(s).\nAnswer: -3*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162 + -160. Let r be (-19 - -14)*b\/2 + 7. Factor 4\/5*g + 6\/5 - 2\/5*g**r.\nAnswer: -2*(g - 3)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 0.4, 0.17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -605 + 6653\/11. Let y = -4 - -4. Which is the fourth smallest value? (a) y (b) -5 (c) u (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4113234 and 18990.\nAnswer: 20566170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732 = 8*o - 10204. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 1:32 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20390?\nAnswer: 2, 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58797 + -25486. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19354041 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 16.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 6. Calculate the remainder when (38\/8)\/(2\/8) is divided by c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-4)*-2*-2. Suppose -5*g + b = 35, 3*g + o = -0*b + b. Which is smaller: g or -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*d = 4*g - 19, -5*g = d - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-5)\/r))\/r**4)\/(r**(3\/4)\/(((r\/(r*r\/(r\/(r\/r**(-1\/6)))*r*r))\/r)\/r*r)))\/(r**(-4\/7)*r*r\/(r*r**11))**(-19\/5) assuming r is positive.\nAnswer: r**(-17677\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58694 (b) 7 (c) 0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + (sqrt(175) - (-2*sqrt(175) + sqrt(175))*3))**2 - 2*sqrt(175)*-5) + (5 + (sqrt(175) - (sqrt(175) + -6*-1*sqrt(175))))**2.\nAnswer: -250*sqrt(7) + 10700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.3 + 13. Let w = 0.5 - c. Let y = w - -0.19995. What is y rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5759208 divided by 7618.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**8\/4200 - g**6\/900 + 2*g**3\/3 - g**2. Let i(k) be the first derivative of m(k). Solve i(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*v**2 + 22*v**5 - 3*v**3 + 22*v**2 + v**3 - 24*v**2 wrt v?\nAnswer: 1320*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279498659 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 1598, 4, -0.3, 0.2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n + 310. Calculate the remainder when 52 is divided by x(37).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 0 + 47*z - 1\/30*z**4 + 1\/5*z**3 + 2*z**2. What is h in i(h) = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cf (base 16) to base 2.\nAnswer: -1011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 2, e: 3, f: 4, v: 1}. Give prob of picking 2 c and 1 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 3, d: 3, h: 1, m: 3, u: 3}. Give prob of sequence dmh.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, -6, -16, -26?\n\"Answer: -10*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134991.\nAnswer: 3, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000213129779 to 7 decimal places.\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0417502 kilograms in micrograms?\nAnswer: 41750200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2990 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36885434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 16*d**2 + 13*d + 31. Let w be (20\/25)\/(((-4)\/5)\/(-4)). Suppose -5*x + w*o = -0*o + 52, 37 = -5*x - o. Is q(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63012\/25 or -2519?\nAnswer: -2519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 5, 9.7, 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109110413 by 3.\nAnswer: -109110413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 110*h - 94. Let p be u(29). Calculate the highest common divisor of 64 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 - 1)*(4*f - 4*f + f) + f + 0*f + 0*f - 2 + 3*f + 2)*(-312 + 75 - 10) in the form u*f + q and give u.\nAnswer: -1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 480.8 and -11.\nAnswer: -5288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7 = -b, 16 = 5*b - 3*j - 31. Suppose 3*i - b = -2*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -30. Sort 1, v, 3 in increasing order.\nAnswer: 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44\/3 - 14. Let r(o) = -o**2 - 11*o - 6. Let i be r(-10). Suppose -z = b + 2*z - 12, -i*b + 24 = 4*z. What is the closest to c in -4, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*b + 4*j + 9, -j = b + 1. Suppose -15 = -3*x - 0*x. Suppose 0 = -y - 0*v + 5*v + b, 0 = y + x*v - 31. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/23 - 8087700*z + 188056312458750.\nAnswer: 2*(z - 46504275)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b**7)\/((b**(-2)*b)\/b*b**(1\/11)))\/(b**(-2\/11)*b\/(((b**(-8)\/b*b)\/b*b)\/b)*b**6*b*b*b**(-7)\/b*b) assuming b is positive.\nAnswer: b**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -202.\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 + 6439*d + 1084469. What is f(-222)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032638 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50115255 (base 8) to base 12.\nAnswer: -3637091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -10*y**2 - 25*y - 25. Is w(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 102*r - 36. Let d(g) = -68*g + 25. Calculate 7*d(t) + 5*s(t).\nAnswer: 34*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 12277320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {t: 2, z: 2, g: 6, s: 3}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39528 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21696 - -573. Let z be ((-3)\/303)\/((-12)\/j). Let d = -18\/101 - z. Find the common denominator of 26\/17 and d.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -301 (b) -8\/5 (c) -4 (d) -2\/11 (e) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8908165 litres?\nAnswer: 890.8165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-820 + 410 + 1881*u + 410).\nAnswer: 1881*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**4\/8 + w**3\/2 + 2*w**2. Let g be i(6). Suppose -3*j - 3*q - 6 = 0, 2*j - 2*q - q - g = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 118.1 (c) -1\/4 (d) -1\/3 (e) 2\/17 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 4\/3 (c) 5 (d) -6\/19 (e) 3.9 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-18))**(-19\/4)*(((x*x**(5\/4))\/x)\/(x*x*(x*x**7\/x*x)\/x))\/(x\/(x*x\/(x**(-2\/3)\/x)))**(-16) assuming x is positive.\nAnswer: x**(1447\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 2) + 43 + 2 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(768).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(147\/686).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(-3*3*(sqrt(147) + -1) - (-1 + 3 + -2 + sqrt(147))))**2.\nAnswer: -10920*sqrt(3) + 132976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -63. Suppose 9*m = -v*m + 72. What is the greatest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -103, -208, -313, -418, -523, -628?\n\"Answer: -105*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 18*w + 107. Let n be x(-6). Let g = n + 192. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5634 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(7\/5)*x)**(-14\/5)*(x\/(x**16*x))**31 assuming x is positive.\nAnswer: x**(-12568\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/50 and 23\/3060?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603393 is divided by 60335?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5561151g to micrograms.\nAnswer: 556115.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439386 to the power of 1\/2, to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -595 + 789. Calculate the remainder when m is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -5.722913.\nAnswer: -12.722913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25446, -25452, -25458, -25464?\n\"Answer: -6*u - 25440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/15))\/o**(-7))**(16\/9)\/(o\/(o\/(o\/(o**(-3)\/o)))*o**4\/o*o\/(o*o**2)*o*o**(-4)) assuming o is positive.\nAnswer: o**(1499\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 572978406.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12\/25 of a day?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 265388*w + 1326990.\nAnswer: -2*(w - 132699)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**5\/20 + 5*j**4\/12 - 5*j**3\/6 - j**2\/2 + j - 3. Let f(s) be the first derivative of n(s). Give f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 21*a - 63. Let y be f(9). What is the highest common divisor of 72 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 divided by 84?\nAnswer: -149\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 7*a. Suppose 5*m = -11*m + 48. Is m less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 5*i + i + (-6*i + 0*i + 4*i)*(-2 + 1 + 2)*(-2 - 1 + 1).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q**2 - 27*q + 35. Let t(i) = -7*i**2 + 60*i - 60*i + 1 + 6*i**2. Let h(o) = m(o) - 5*t(o). Factor h(z).\nAnswer: -3*(z - 1)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 9*n**2 + 10*n - 6. Determine w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(-3)*(-90)\/(-36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -758915\/86 or -8825?\nAnswer: -758915\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 43*a**2 - 31*a - 56. Let w be x(9). Is 2417 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -2972?\nAnswer: -2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.33, -0.1, -2\/17, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0) + (-133)\/(-19). Let h be 1*54*(-16)\/(-6). Suppose h = 2*g + 2*g. What is the highest common factor of l and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.316 * 130.2044.\nAnswer: -41.1445904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 11*x**2 + 14*x + 24. Let j be r(-12). Solve q + j*k = k + 3, -4*k = 5*q + 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 - 3*r. Suppose -18*g + 12 = -6. Let n(x) = x**2 - x. Calculate g*z(a) - 6*n(a).\nAnswer: a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 33 - 70*c + 66*c + c**2)*(-122 - 117 - 154 + 42).\nAnswer: -351*c**2 + 1404*c - 11583","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6165961, 6165980, 6165999?\n\"Answer: 19*p + 6165942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117091860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11805 + -2915829\/247. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112637 equal to -114597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(15\/(-18)*7011\/1230).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 1\/4, -17, -3\/22, -3 in increasing order.\nAnswer: -17, -3, -3\/22, 0.13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 238218381 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 28. Let t be b(0). Let l = -36 + t. Let d(p) = 0 - 19*p + 7 + 0 + 22*p - 2*p. What is d(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*128.9.\nAnswer: 257.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (225\/750)\/((-4)\/5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q. Suppose -f = -2*f. Let o(g) = 0*g + f*g + 4*g**2 - 2*g**2. Give l(o(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16514?\nAnswer: 2, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664429 is divided by 183?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykkkyy. What is prob of sequence ykk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.1 (c) 0 (d) -291 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3696 and 21945.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**3 + 2*y**2 - 2. Let r(z) = -95*z**3 + 25*z**2 - 25. Determine 25*b(x) - 2*r(x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-108)*(47 + -50)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y**3 - 2*y**2 + 3*y + 2. Let g(j) = j**4 + 41*j**3 - 6*j**2 + 5*j + 5. Let o(b) = -3*g(b) + 5*z(b). What is the third derivative of o(a) wrt a?\nAnswer: -72*a - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -100200?\nAnswer: -100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 + -0.42. Let v be (-18)\/27*-6 + -2. What is the smallest value in v, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11882648623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1369357 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a factor of 10490920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2898a25 + 2?\nAnswer: 2898a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -7, 3, 29, 32, -64 in descending order.\nAnswer: 32, 29, 5, 3, -5, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2682158 and -7\/289.\nAnswer: 45596686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18145*j = 18162*j - 2431. Let n = 46 + -20. What is the highest common factor of n and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -2*p**5\/15 + 481*p**2. Let s(q) = -3*q + 2*q - 2*q. Calculate t(s(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*i - 748*i = 757*i + 124836 for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 797360807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 157?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014049977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, -84, -14, -0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -2, -4, -405 in decreasing order.\nAnswer: 7, 0, -2, -4, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124792001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j - 8. Let t be (12\/16)\/((-2)\/j). Find the second derivative of 5*w**3 - 2*w + 6*w - 3*w**t wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 320, -3, -7, -1, -1\/11, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2*r**3 - r**2 - r - 434. Determine n(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 224*r - 40. Let g(q) be the first derivative of 17*q**2\/2 - 3*q + 57. Let m(c) = -40*g(c) + 3*u(c). Determine m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55712.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 351270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12340 = 5*n, -2*f - 48*n + 6148 = -45*n. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 32*q**3 - 3*q**2 - 3*q + 1. Let m(l) = -18*l**3 + l + 11*l**3 + l**2 + 6*l**3. Calculate 3*m(h) + t(h).\nAnswer: 29*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(325) + (-3 + sqrt(325) - sqrt(325)))*-3*2)**2.\nAnswer: -4320*sqrt(13) + 48096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(12) + sqrt(192)\/sqrt(4) + 2)**2.\nAnswer: 24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1254\/133 - 10)\/((-4)\/(-14)) - -13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 7)*(-52*j + 52*j + 11*j**2).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12637 * 1.\nAnswer: -12637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*i**5 - 195*i**4 + 130*i**3 + 3060*i**2 - 3710*i + 735 = 0. Calculate i.\nAnswer: -7, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**3 + 21*t - 27. What is the thousands digit of n(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + 0 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 - k - 6. Let h(o) = o**2 + o + 1. Let l(b) = 6*h(b) + y(b). Let q(t) = -2*t. Calculate 2*l(n) + 5*q(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2*-5 + sqrt(85) - (-6*(sqrt(85)*-1 - sqrt(85)) - sqrt(85)))\/(sqrt(20)\/(2*sqrt(36))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 78 + 93 = 0. Let r = t - -58. Let x be 1875\/(r*4\/10880). What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5566407nm?\nAnswer: 0.00000005566407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + 50\/(-4). Find the common denominator of (v\/32)\/(3\/86) and (-1)\/(-2) + (237\/54)\/(48\/(-72)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 1 + 17 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2260248 and 328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 332 - 137 + 36*y**4 + 367 - 4*y**2 - 191 + 413 wrt y.\nAnswer: 144*y**3 - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:17 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -72. Let n = 43 - t. Let i(o) = -o**2 + 12*o - 12. Let z be i(11). What is the third biggest value in z, 1.2, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274, -9035, -20284, -36021?\nAnswer: -56246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19b0 - 3?\nAnswer: 19aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmcm when four letters picked without replacement from {m: 4, c: 5, t: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 - 192 = 446*i - 495*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 2*w - 168. Let v = w - 7. Solve -i + v*i = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80e6 + -d?\nAnswer: -8104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10840829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 134. Calculate j(-27).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.38, 5, -0.4, -0.5, -1\/40?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 3, 1, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6574 + 11237. Is a*2\/(-6)*(5 - 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12b8b - 47?\nAnswer: -12bd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0 - 3\/2*a**2 + a + 1\/3*a**3. What is the derivative of n(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 32, 9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 44, 53, 46, 17, -40, -131, -262?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0. Let f = 4.8 + h. Let o = f + 0. Sort o, 2\/19, -3\/4 in descending order.\nAnswer: o, 2\/19, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29014425?\nAnswer: 3, 5, 11, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9428139 - z + 9428139 - 1645*z**2)*(0 + 0 - z).\nAnswer: 1645*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/530*149\/745.\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -529470 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -385 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101101000101010 + 11?\nAnswer: -100101101000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/1)\/((-255)\/(-105) + 4\/7). Solve -j*k = -3*f + 3, 14*k + 1 = -2*f + 13*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198723349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141545 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4\/119 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 5*o**8\/84 + 3*o**7\/14 - 5*o**6\/12 - o**5\/4 - 2*o**2 + 86. Let f(i) = 0. Calculate i.\nAnswer: -3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333 + 126. Let h = -140 - r. Suppose 3*k = -19 + h. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**(-4))\/f**2)\/(f**9\/((f**(-14)*f)\/f)) assuming f is positive.\nAnswer: f**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*g**2*y - 10*g**2 + 3*g*y - 9*g - 78*y - 1 wrt y?\nAnswer: 10*g**2 + 3*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18511 and -0.2?\nAnswer: 18510.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8587386\/5 less than or equal to -1717476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31941.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -29. Let x = -21 - -25. Solve -5*w + 4*l = b, -x*w - 2*l = l + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10\/90*3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1390\/4*(-28)\/35. Let j = i - -24. Calculate the common denominator of 57\/5 and 2\/3 - j\/(-48).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -24. Let f(c) = 2*c + 12. Calculate the lowest common multiple of 18 and f(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8927.7 times 3.6\nAnswer: -32139.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -4\/3, -41746, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -1031, 52, -2, 4, 10.\nAnswer: -1031, -70, -2, 4, 10, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, l: 2, y: 1, t: 2}. Give prob of sequence yxtx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41007163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*t + 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 5, y: 2, f: 2, p: 5, q: 1}. What is prob of picking 1 s and 1 f?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1920179*o**3 + 1634*o + 1920181*o**3 - 812*o - 822*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = 0, -6*h + 582 = -h + 4*c. What is the derivative of -6*a**2 - 10*a**3 - 10*a**3 + h - 13*a**2 + 5*a**3 + 9*a**3 wrt a?\nAnswer: -18*a**2 - 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 45*h**2 - 24*h + 96. Let q be v(4). Calculate the greatest common divisor of q and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*j - 109*j - 3875*j.\nAnswer: -3380*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17107.4788*0.3\nAnswer: -5132.24364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3405 - -32?\nAnswer: 3441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.099962 and -2.\nAnswer: 0.199924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*h. Let r(p) be the first derivative of 4*p + 4 + 2 + 0 - h + p**2. Calculate r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134\/(-17) + ((-195)\/(-15) - 5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, 0, -72, -2\/35, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2174*b**3 - 4*b**2 - 2*b - 9. Let j be p(-8). Let n = j - -273337. Round n to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u + 3. Let o(g) = -46*g**2 - 12*g + 12. What is o(l) - 4*w(l)?\nAnswer: -50*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a factor of 222827024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-456)\/(-60) + 7\/5. Solve m*c + 24 = -4*r + 5*c, -2*r + 5*c - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.51 (b) 4\/3 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3 - 3) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*o = -142, 2*o - o - 101 = 3*q. Let i = -30 - q. Solve -i*l - 9 = -5*n, -4 = -5*n + l - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 14*v**2 - 8*v - 11. Is g(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331374 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 25 = 2*k + 5, -5*k + 23 = -2*j. Which is the smallest value? (a) 0.4 (b) j (c) 0.187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 22 + 6 = 0. Let n = w + 6. Let r be -1*(-3 - -2) + n. Solve 5*q = 2*b + 10, r*b - 3*q = -b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -85*r**6\/6 + 2*r**3\/3 + 71*r + 135. Find the third derivative of k(c) wrt c.\nAnswer: -5100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2221000313 (base 4) to base 8\nAnswer: -2510067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2 + 2)*(5 - 3 + 2)*(0 - 3 + 1).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + c)*(-2 - 3 + 7).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38535\/4 - -9634. Let g(k) be the second derivative of -40*k**2 + 12*k + 0 - f*k**5 - 20\/3*k**3 + 35\/12*k**4. Factor g(d).\nAnswer: -5*(d - 4)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g + 4. Let b(s) = s**2 + 12*s - 4. Let f(h) = 4*b(h) + 5*q(h). Calculate the remainder when 113 is divided by f(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*r + 3726 = -115*r. Suppose -3*z + 933 + r = 0. List the prime factors of z.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 921*u**2 + 96*u - 95. Determine p(1).\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362 plus 0?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20.0000008. Round y to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5, -12, -4 in descending order.\nAnswer: 1, -2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30521, -120758, -271153, -481706, -752417?\n\"Answer: -30079*b**2 - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 15 + 61 = 6*b, 0 = 5*b + 2*t - 45 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11723980206733876\/246954775704901675 - -36\/97569742825. Let y = b - 46\/1021. Let u = -205625\/54538 - y. Find the common denominator of 77\/18 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-117))\/((-20)\/(-180)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/48*3*382\/2292).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 2, b: 1, f: 1, a: 1}. What is prob of sequence nf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269587917 is divided by 168.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + (-3 - 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/20 and 3\/(-9) - 166\/(-36).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*f*j - f*m**3 + 4*f*m**2 - 6*j*m - 136*m**3 wrt f.\nAnswer: 27*j - m**3 + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*a**4 + 1316*a**3 - 527*a**2 - 48*a wrt a?\nAnswer: -1728*a + 7896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1180 = w + l, w = -33*l + 35*l + 1171. Suppose -i + 3612 = -w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 5*p - p + 0 + 0 - p + (3 - 3 + p)*(-1 + 1 - 1) - p - 3*p + 2*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/547, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**3 + 4*g**2 + 26*g - 16. Let u = 241 + -234. Is j(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 2*d**3 + 9792*d**2 - 9792*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 6*t**2 + 6*t + 4. Let d(f) = 3*f**3 + 7*f**2 + 7*f + 4. Let k(p) = -3*d(p) + 4*r(p). Determine k(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1269 - -2485. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20946 is divided by 20825.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 5)*(23*p**2 - 1811 + 1811).\nAnswer: -69*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 take away -35627.8?\nAnswer: 35625.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 6 - (102 + -96)) + 7 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301 and 19006?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62772160 and 28?\nAnswer: 439405120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 21*m**2 - 21*m + 45. What is g(-20)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -15 - (3 - 25 - 16).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 286280.997 and 0.1?\nAnswer: 286280.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 22154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/33 + 70\/((-122430)\/(-87397))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302468 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42825, 85652, 128479, 171306, 214133, 256960?\n\"Answer: 42827*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 979, 2503, 4717?\nAnswer: 7621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 13232*w + 1185556. Determine m(-89).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 23*a - 16. Solve 4*l = 3*i + 20, a*l = i + 2 + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/21 - (-9)\/63?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1507203255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00631 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56, 5 in decreasing order.\nAnswer: 5, 4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(156)*-1 - sqrt(156)) + sqrt(156)))\/sqrt(12).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (2*sqrt(209)*-4 + sqrt(209))\/(-4*sqrt(11)*1).\nAnswer: 6 + 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.76 + -5.49. Round b to 0 dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 732\/5*v**3 + 21*v**4 + 609\/5*v**2 + 18\/5*v = 0. What is v?\nAnswer: -1\/35, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1680146 divided by -4\nAnswer: 840073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, g: 3, o: 5, h: 1, b: 1, j: 4}. Give prob of sequence hbkg.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1212209684 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -681149 and -681120 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 0) + 10 + (-15 - (0 + -6))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - 0.13. Let p = k - -0.19. What is the second biggest value in 1\/5, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 36 = -6*r. What is the biggest value in 4, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18426.84 milliseconds in minutes?\nAnswer: 0.307114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 6*r - 12. What is the units digit of y(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 - 5*o. Let y(m) = 5*m**2 - 4*m. Give 4*f(d) - 5*y(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 + -199. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1556.98123 + 1557. Round p to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3704167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -30, -13, 14, 64 in ascending order.\nAnswer: -30, -13, 14, 31, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1235\/2717*(-55)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 1.1. Let g = q - 2. Let t = -15 + 15.4. Which is the third smallest value? (a) t (b) g (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/318980 and 169\/2706.\nAnswer: 10526340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 31*h**2 + 15*h + 620. Let k(m) = 16*m**2 + 8*m + 329. Give -6*d(s) + 11*k(s).\nAnswer: -10*s**2 - 2*s - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -20) + -17 + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**4\/8 + 538*r**2 - 3*r. Let t(b) = -56*b**2. Determine t(c(w)).\nAnswer: -504*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13428, 2, 6, -1 in descending order.\nAnswer: 13428, 6, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -453*v + 10. Let n(g) = -988*g + 19. Calculate -6*n(m) + 13*r(m).\nAnswer: 39*m + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -19*t - 2. Let m(a) = 9*a + 1. Suppose -2*g - 16 = 2*g, 20 = 4*w + g. Suppose -5*p + w = -24. Let y(c) = p*s(c) + 13*m(c). Differentiate y(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-2)*6\/9. Let o be 9\/(-6) - (0 + 5\/(-2)). What is the greatest common divisor of k and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3\/2)\/g*g**8)**(10\/19))**(2\/81) assuming g is positive.\nAnswer: g**(130\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/2 - 5*b**4 - 11*b**3\/2 + 64*b**2 - 94*b + 40 = 0.\nAnswer: -4, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 2110?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2820*k*p**3 + 5553*k - 10*p**3 wrt p?\nAnswer: 8460*k*p**2 - 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -587 - 5*u + 587 in the form n*u + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 117. Suppose -3*w = -w - q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, 0, -1, -2, 3, 19 in decreasing order.\nAnswer: 191, 19, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 7 + 3 = 0. Let y(m) = -3*m**2 + 5*m - 2. Let q(r) = 6*r**2 - 11*r + 5. Let p(d) = b*y(d) - 2*q(d). Find the second derivative of p(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - (10 + -7) - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 + 19 - 4*i - 28 - 12*i. Let s be m(-6). Is -56 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 74 = -10*y - 0*y + 6*y + 33, 4*o - 135 = -5*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 27*o**2 + o. Let d = -10 - -11. Suppose 0 = -3*z - d + 4. What is the tens digit of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)\/y)\/y)\/y*y*y*y)**(33\/4)\/(y**(-6)*y**(-3))*(y**(-6)\/(y\/y**(-2\/11)))\/(y**(-2))**40 assuming y is positive.\nAnswer: y**(3237\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 2*b**2 - 7. Let s(w) = w**2 - 1. Determine 2*s(i) + z(i).\nAnswer: 2*i**3 + 4*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -74. Let i(g) = 2*g**3 + 3 + 19*g**2 - 4 - 18*g**2. Determine i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6516 by -3.\nAnswer: -2172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0497 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + 379\/7*9. Let t = m - 369. Does 59 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -365 and -4571.86495?\nAnswer: 4206.86495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55*(-11)\/(-110)*20. Solve 95*v = 73*v - c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.071 (b) 3 (c) -1\/7 (d) -101 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 - 24 = 4*r. Let g(z) = -5*z - 2. Calculate the remainder when r is divided by g(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 25 - 71. Calculate the remainder when 89 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22, 0, 1, -2\/5, -40?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + (6*(sqrt(637) + 0) - sqrt(637))**2.\nAnswer: 7*sqrt(13) + 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/14)\/((-4)\/(-28)). Let y be 10\/(-4)*t\/(-5). Suppose -106 = -5*d + 4*p, 2*d = -y*d + p + 94. What is the remainder when 34 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(-2\/81)*k**(-5)*k*k\/k**(3\/8)*k assuming k is positive.\nAnswer: k**(-1543\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46 + (-5891)\/(-129))\/((-2)\/12). Factor -18\/11 + 6\/11*t**j + 12\/11*t.\nAnswer: 6*(t - 1)*(t + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 2578680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6771 - 6243. Suppose -4*p + 3*y - 77 + 263 = 0, 3*y = 6. Calculate the greatest common divisor of c and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -337?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - w + 209 = 0, -2*w - 5 = -3. Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4476 - -4476.4. Which is the closest to 0.2? (a) 4 (b) 7 (c) t (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 + 2*g - 3. Let p be f(7). What is the greatest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + (32 - 26 - (1 + 24)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/72 and 139\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/53 - 587\/318. Put u, 2, -5 in descending order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 504 - 751. Let w = j - -245.79. What is w rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(18*v + 0 + 0 - 2)*(-1 + 0 + 0).\nAnswer: -54*v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let n = -1 + r. Suppose p + n - 3 = 0. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-8) - 58\/4. Let b = j - -25. Let i = -51 + 53. Solve -i*z = 2*z - b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1690544 and 5\/934248.\nAnswer: 35501424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*k**(2\/15))*k\/(k**(-2\/9)*k)*k**2\/(k**(1\/2)*k)*(k**(-2\/5))**(2\/11)*k\/k**(-2\/3)*(k*(k**(1\/9)*k)\/k)\/k assuming k is positive.\nAnswer: k**(427\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3034799747.\nAnswer: 7, 127, 3413723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 798 = 27*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8476 times 636?\nAnswer: 539.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 480287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761101582.\nAnswer: 2, 19, 137, 146197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 464*r**3 - 466*r**3 + 3*r**2 + 3*r**2 + 4*r - 5*r**2 - 10 - 9*r as u + i*r + c*r**3 + d*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96 - 1\/1*(38 - 38). Solve 2*c + q = 26*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -56, -92, -142, -206?\n\"Answer: -7*b**2 - b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 54) + 1 + -5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 978, 987, 996?\n\"Answer: 9*b + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*z + 33, -3*m - 6 = z - 21 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 118 = 5*h - 57, 4*h = 5*g - 59 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3799, 7092, 10385, 13678, 16971?\n\"Answer: 3293*w + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from qkkkkkqkkckkkk?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w - 4. Let m(n) = -6*n - 3. Let z(b) = -6*m(b) + 5*u(b). What is the remainder when z(3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (2440\/100)\/(4\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 2, a: 4, j: 6, e: 1}. Give prob of sequence aka.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-2\/35)*j**(-1\/6) assuming j is positive.\nAnswer: j**(187\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 13*j**2 - 29*j - 59. Let d be u(9). Solve 0*t - 4 = d*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 4:05 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -270*-15710\nAnswer: 4241700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570901 is divided by 4837?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 14 + (-4 + 9 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**2 - 11*l**2 + 3*l**4)*(30*l - 12 + 30 - 19).\nAnswer: 90*l**5 - 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1804 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 2\/9, 16193 in descending order.\nAnswer: 16193, 3\/13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:46 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21012?\nAnswer: 2, 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008258593 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -14178.8 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 1539.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8681 - -14397. List the prime factors of i.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*q = -5, -94 + 117 = 3*f + 5*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019593329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/7 - 8856*h\/7 + 8860\/7.\nAnswer: -4*(h - 1)*(h + 2215)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4940029.530783 - 2.\nAnswer: 4940027.530783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 3*w + 0*w)*(-1676 + 1676 + 50*w) - 10 - 9*w**2 + 10 to m + x*w + t*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 441490283 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5068*c - 20360*c + 5182*c + 5072*c + 5054*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1986*t + 1990*t = 24, n = 5*t + 195551. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 2, k: 3}. Give prob of sequence lloo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080967 and 21619340?\nAnswer: 21619340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 286935*h - 286930.\nAnswer: -5*(h - 57386)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -345.708 - 186926.\nAnswer: -187271.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -5\/6*l**3 + l**2 - 1\/60*l**5 + 0*l - 5 + 1\/3*l**4. Let x(v) = -v + 7. Let w be x(0). Determine n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 1.5. Sort 0.5, j, 0.04 in decreasing order.\nAnswer: 0.5, j, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 5*l + 2. Let p be s(-3). Is 298\/p - (-2)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**3 + 43*q**2 + 2*q + 40. Let l be g(24). Round l to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 103081611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**17)**(-37) assuming o is positive.\nAnswer: o**1258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 7. Let q be o(3). Let t be -146*3*q\/(-6). Suppose t - 37 = 5*j. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19250, 38471, 57692, 76913, 96134, 115355?\nAnswer: 134576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*n + 25. Suppose -n*c = 46 - 210. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.094875ng to micrograms.\nAnswer: 0.008094875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597166387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 80820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 times -493.906?\nAnswer: -62726.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - f - 1. Let t be j(1). Put 0.4, 1\/2, 0, t in descending order.\nAnswer: t, 1\/2, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 7944 = -322*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 12 = i. Let p be (-6)\/(-2) - (45 + -2 - i). Let z = p - -44. Sort -2, z, 0.3, -8.\nAnswer: -8, -2, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {v: 1, m: 7, g: 2, x: 1, r: 6}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 78*l**3 - 192*l**2 - 672*l.\nAnswer: 3*l*(l - 4)*(l + 2)*(l + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -0.4.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 3\/2*c**3 - 1\/40*c**5 + 42 - 5\/16*c**4 - 31\/2*c**2 + 0*c. Let t(r) be the second derivative of q(r). Factor t(k).\nAnswer: -3*(k - 1)*(k + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965860457 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220513.94us in days?\nAnswer: 0.00001412631875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 13 + 4)*(4 - 2 - 1)*(109 + 201*t**5 - 109).\nAnswer: -4422*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -613 + 1372. Suppose 0 = 5*n - 266 - x. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 = 4245*s - 4189*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -3*w + 7*w. Suppose -2*u - w = -7*u. Suppose 2*d - u + 8 = 0. What is the remainder when 7 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/14)\/(-8 + (-113)\/(-14)). Suppose -3*b = -z - 8, -m*b - 8 = 2*z - 2*b. Put z, 3, -3 in descending order.\nAnswer: 3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 d when four letters picked without replacement from {r: 16, d: 2}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 19*j + 35 + 30 + 7*j - 6*j wrt j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = 6. Calculate the remainder when 2 - 5 - (u - 6) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-39))\/(2 - 0).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -10 - -4 - (4 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a factor of 97034436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14 (b) -132980 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 100*v**2. Let s(j) = 2*j + 1165 - 2329 + 1164. What is a(s(r))?\nAnswer: 400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/19 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-7 - ((5 - 3) + -1 + -6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 5*a + 5. Let p be c(-7). Let g = p + -10. Is (g\/(-3) + 1 - -1)*-83 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12342)\/(-2178))\/((-34)\/(-60)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -362430935, -362430934, -362430933?\n\"Answer: f - 362430936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -19*u**3 - u**2 - 2*u + 5. Let d be ((-3)\/(-4))\/((-27)\/(-1404)). Let o = d + -43. Is r(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g**5 + 2440*g**4 + 86141*g**3 - 520444*g**2 + 59157*g + 372690 = 0. Calculate g.\nAnswer: -82, -303\/4, -3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*f - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1330 = -1015. Let l = 14537\/31 + a. Suppose 0 = 2*r + 5*z + 20, 4*r + 5*z - 1 + 21 = 0. Is l equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -758*z**2 - 1719*z**4 - 771*z**2 - 757*z**2 + 2286*z**2 + 3 + 1736*z wrt z.\nAnswer: -20628*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1973723, -1973725, -1973727, -1973729, -1973731?\n\"Answer: -2*p - 1973721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2937, 5863, 8789, 11715?\n\"Answer: 2926*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -80, -122, -164?\n\"Answer: -42*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 + 212. What is the nearest to 2\/5 in 38, -1\/10, h?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*1548\/(-2520) - ((-18)\/20 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*q*s**3 - 87*o**2*q*s**2 - o**2*q*s + 5*o**2 - 6*o*q wrt s.\nAnswer: -12*o**2*q*s - 174*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzhvvvvzkzz. What is prob of picking 3 z and 1 h?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -828.9659 rounded to the nearest ten?\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 1194*z**5\/5 + 249*z**2 + z - 218. Find the second derivative of j(p) wrt p.\nAnswer: 14328*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, h: 7, v: 5}. What is prob of sequence wh?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/sqrt(112))\/(3*(sqrt(99)\/sqrt(9) + sqrt(11))).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 192 - 136. Let i = p - 33. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1 - 51 - i - 2*i + 21 + 16. Determine y(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -3.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2661, 5, 4 in ascending order.\nAnswer: -2, 4, 5, 2661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**2 - 3*v - 3. Let b be x(-1). Solve -4*q = 4*w - 2*q - 8, 0 = 5*q + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjj when three letters picked without replacement from vjvjjvjjjvjjvjjj.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -89. Let d(m) = -m**2 - 1. Let k(j) = 2*j**3 - 16*j**2 - 8. Let h(i) = c*d(i) + k(i). Solve h(a) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*s**2 - 3)*(-2*s - 2*s + 12*s) - 2*s - s**3 + 2*s + (5*s**2 + 0*s**2 - 3*s**2)*(-s + 4 - 4).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21566 (base 14) to base 6.\nAnswer: 1421210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = -4*u + 11*h + 17, -5*h = -u + 20. What is the greatest common divisor of u and 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1417529556 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13350.412004 minus -11279?\nAnswer: -2071.412004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) 2\/13 (b) 0.07 (c) 238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37433884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*d + 4958 + 6063 + 12388 = -596*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*n + 15, 3*n = -0*z + z + 23. Suppose r = -n*r + 770. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2222504 is divided by 2222473?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -53474.5.\nAnswer: 16042.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 1, q: 1, c: 1, i: 1}. What is prob of picking 1 c, 1 n, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -13.1. Suppose 0*y + 12 = 2*p - 3*y, 3*p = -2*y + 5. Let c = 11 - 10.6. What is the nearest to h in p, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8568359, 3, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6175469 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009430467 to 7 decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/2 + (0 - -7). Suppose n = m - 10. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3\/7 + 24*s**2\/7 - 684*s\/7 - 704\/7 = 0.\nAnswer: -16, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/17)*f*f*f**3)\/((f\/f**1)\/f*f)**(-27\/4) assuming f is positive.\nAnswer: f**(87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 - 12*f + 0*f**2 - 1\/3*f**3. What is the units digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -5*x + 11*x. Let c = -101 + 147. Calculate the remainder when c is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 8 - 16)*(-2*a**3 + 5*a**3 + 0*a**3)*(-5*a + 3*a + 0*a) as y*a + l*a**2 + k*a**3 + i + j*a**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)*t**4)**(-2\/29) assuming t is positive.\nAnswer: t**(-60\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11156462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 719. Let f(j) = j**3 + 6*j**2 - 2*j - 16. Let x be f(-4). Let z = 24 - x. Is w(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431, 1750, 3949, 7028, 10987, 15826, 21545?\nAnswer: 28144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.026 + -17.026. Let a = -10.6 - -11. What is the closest to -1 in c, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) 13\/4 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**(-2\/37))))\/w)\/w**10*(w\/(w**(1\/3)*w))\/w**10 assuming w is positive.\nAnswer: w**(-2251\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from {x: 2, d: 6, o: 4, b: 1, e: 4, z: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 129, 178, 241, 324, 433, 574?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 17*k - 8. Let r be m(8). Solve r = -w - 1 - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23.718246 months?\nAnswer: 0.19765205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b*f*i**2 - 2*b*f*i - 2*b*i**2 + 10*b - 7358*f*i - 2*i**2 wrt b?\nAnswer: 4*f*i**2 - 2*f*i - 2*i**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whow. What is prob of sequence wwo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 25 + 128 + -16 - (-11 + -2 + 6)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18.89 (b) 3 (c) -36\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 665522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 435.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 65 = -3*d. Calculate the remainder when d is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 14. Let l(z) = -3. Let p(g) = 16. Let f(v) = 22*l(v) + 4*p(v). Suppose -12*t = -10*t. Suppose t*n + 28 = -2*n. What is n*f(w) - 2*o(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from yyupyyyuyyp?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14917 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39\/13*(-38)\/(-3) and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232786 + 69.5\nAnswer: -232716.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (-2 + 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 873480*d**3 - 873482*d**3 - 4*d + 118*d**2 + 14*d**2 + 8*d**4 as v*d**2 + f + a*d**4 + k*d**3 + i*d and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/42 and (-9)\/(-9) - ((-1365)\/(-27))\/(-7)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 1\/7 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 12*c + 2 = 0. Suppose 4*b - 3*n = 12, 0 = 3*n + c*n. Solve 2*l - 18 = -b*t - t, -5*t = -20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-4 - -1) + 4 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1847211, -1847209, -1847207, -1847205, -1847203?\nAnswer: -1847201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(44) - (sqrt(539) + 1 + sqrt(11)) - -1*2*sqrt(396)) + -5)**2.\nAnswer: -24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 334 + 102 = 0. Let a = 1102\/5 + z. Find n such that -12\/5*n**3 + 3\/5 + a*n - 3\/5*n**2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:28 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 + 3 = 0. What is the third derivative of i**4 + i**4 + i**2 - 7*i**4 + i**y wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4 - r**3 + 0*r**2 + 3*r**2 - 4*r - r**2 + 9*r. Let j be v(3). Suppose -p - j = -2*p. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzj when three letters picked without replacement from {u: 1, a: 1, j: 2, h: 1, n: 1, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n - 73. Let a(z) = 2*z + 33. Let r(h) = 2*a(h) + x(h). Let i(g) = -33*g - 1. What is i(r(j))?\nAnswer: 132*j + 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64956226 is divided by 1618.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 3*n - 2. Let v be m(-4). Factor -r - 3*r**v - 3*r**2 - 2*r.\nAnswer: -3*r*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -0.02 (c) 1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 2*l + l + 7*l**2 - 3*l**2 to m*l**2 + u + w*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*2*(-1)\/8. Suppose v = k*v. Suppose v = -5*q - 15, -4*t + q + 8 + 3 = 0. Solve -3 = t*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 3) in base 6?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36257, 35668, 35079, 34490, 33901?\n\"Answer: -589*z + 36846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1374 + -5.1374. What is the closest to 0.1 in -2, -8.3, 4, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 238*t + 157*t - 117*t + 1946 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 21*a**2 - 9*a**2 - 214 + 25 - 50 + a**3 - 14*a**2 in the form r*a**2 + b*a + v*a**3 + k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - 4*s**2 + 2*s**2)*(-3799*s - 1253 + 202 + 29*s**2 + 1051) as d*s**4 + c + o*s**3 + r*s**2 + u*s and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 4. Let r = 4.758 - 3.758. What is the fourth smallest value in z, -1\/2, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 169*u**7\/189 + 962*u**6\/135 + 172*u**5\/9 + 376*u**4\/27 - 368*u**3\/27 + 32*u**2\/9 - 45*u. Let s(q) = 0. What is q?\nAnswer: -2, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.58 in -5, -7, -3\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1404 - -2.16447917854.\nAnswer: -1401.83552082146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4108 and 1108133?\nAnswer: 4432532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -46. Suppose -m = t - h, -t = -6 + 4. Solve m*c - 2 = -12, -2*y = c + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2. Let u(x) = -25*x**2 - x + 1. Let l(b) = 73*b**2 - 180*b - 10. Let q(m) = l(m) + 3*u(m). Give q(r(z)).\nAnswer: -18*z**4 + 549*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-260)\/(-6))\/((-2)\/6). Let o = 12669\/4 + -3187. What is the common denominator of o and (c\/(-12))\/(-3 + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/7 - 348*t**2\/7 + 4497*t\/7 + 4848\/7.\nAnswer: 3*(t - 101)*(t - 16)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (0 - -1) - (66 - 65)) + -18 + 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8262 and 83\/16524.\nAnswer: 16524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/5 - 3\/35. What is the second smallest value in 2\/7, -1\/9, -4\/13, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + n - 294. Calculate the smallest common multiple of 10 and n.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 25*l + 13. Determine u(-16).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emgemgmgeegomqe. What is prob of sequence gg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0397 + 7.7447. What is o rounded to one decimal place?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -145, -213, -279, -343, -405?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.388 + 29.2. Let u = -0.8 + x. What is u rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 211. Let q = y - -223. Suppose -4*a + q = -5*l, -a + 4*a - l - 35 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f83a06 (base 16) to base 11\nAnswer: -9201253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 8:26 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:22 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 103d72 - -17d?\nAnswer: 104111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3db3d + 3?\nAnswer: -3db3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*q + 5*q**2 + 275 - 142 - 136 in the form s*q**2 + l*q + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3372 + -3348. What is the lowest common multiple of 176 and v?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*a - 40 - 1074 = 1694 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 9. Let c = k + -24. Factor 5*b**3 - 8*b**3 + c*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24859 times -7.05\nAnswer: -175255.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 + 2762*h**2 - 200762*h + 3450478 = 0.\nAnswer: -1451, 29, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(128))*3*-5 - (5 + 4 + sqrt(18)*-2).\nAnswer: -114*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 22*d - 44. Let x be o(-24). What is the fifth smallest value in x, 0.5, -5, -2\/9, 2.55?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-252)\/72. Suppose -371 = -t*p + 787. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 133212 = 11*l. What is the remainder when l is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5226775*f**3 - 3090595 wrt f?\nAnswer: 15680325*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 26\/(-195).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 3 + 0\/16. Solve 12 = -b*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 28\/3*a**3 + 0*a**2 + 0*a - 3. Let m(j) = -2*j**2. Give m(r(c)).\nAnswer: -1568*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 - -206. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -2, -5.\nAnswer: -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26593a (base 12) to base 13\nAnswer: 191902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -522 (base 9) to base 2.\nAnswer: -110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let b(d) = -2*d. Let q(x) = -b(x) + 3*i(x). Let z(m) = -1 - 4*m + 1. What is q(z(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/3*l + 0 + 2\/3*l**2.\nAnswer: 2*l*(l + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/13 - 10722*x\/13 + 312620\/13 = 0 for x.\nAnswer: -5390, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00053802 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94672 plus -4?\nAnswer: -4.94672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, -1.499, 179\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 2:08 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 3 = 17. Solve -z*f - 3*f = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -76*d - 5181. What is b(-75)?\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/10)\/(((-39)\/(-2))\/((-420)\/(-112))).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 + 1. Let f be k(0). Let v(x) = -x**2 + 1. Let h be v(f). Suppose 0*a - a + 20 = h. Solve -4*l = a, 2*b - 33 = 5*l - 0*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 0\/((-4)\/(-1)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 8, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2285 + -13a?\nAnswer: 214a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*k = -44090 + 42326 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -774 and 267.\nAnswer: -206658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*g = -15, -1 + 22 = 4*q - 3*g. Suppose f - 4*k - 115984 = 0, 2*k + k = -q*f + 348012. Round f to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 114 = -8*i. Let z be 8463\/i + (1 - 6\/5). Suppose 5*n - n - z = 0. List the prime factors of n.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127470428333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 2 (c) 46 (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11929*c*d**2 + 64*c*d + c + 3*d + 2 wrt d?\nAnswer: -23858*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 41. Suppose 3*m - 3*y = 54, 4*y - u + 16 = -4*m. Suppose 3*x + m - 46 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Let b be 0\/((-1*m)\/(-4)). Let u(s) = b*s + 0*s**3 + 4*s + 6 + s**3 - 3 + 5*s**2. What is u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {o: 3, s: 3, x: 3, d: 3, u: 2, l: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 18*m - 2*m**2 - 2*m**3 + 8*m**2 + 7 + 2 = 0 for m.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 9 in descending order.\nAnswer: 21, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 66, 71, 76, 81, 86?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55*k - 2*k - 4*k)*(0 + 175*k + 2 - 153*k) to a + v*k**2 + n*k and give v.\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776125 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (40\/260)\/((-158)\/56485)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 1382415.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1507, 4\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1100411 - 1332?\nAnswer: -1101743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 499458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 540209 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/84)\/(22\/(-3)*102\/(-476))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**4 - 34445*t**3 - 60088200*t**2 - 2620259620*t + 24825378080 = 0. Calculate t.\nAnswer: -3422, -53, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*m = -118*m + 12. Let q = -3 - 13. Let b = q + 18. What is the second smallest value in m, b, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3 (c) -1.3 (d) 0.2 (e) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 90713?\nAnswer: 1360695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1263 (base 8) to base 7\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 2*h**4 + h**4)*(-57 - 13 - 58 + 35).\nAnswer: -93*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10029155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**2 + 1 - 37*n**2 + 32*n**2.\nAnswer: 12*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*v = -23, 2*v - 8 = 2*j - 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -456 - 108. Let k = i + 563. Let h be (5 - 7)*(-6)\/28. What is the second smallest value in k, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 68, 277, 662, 1277, 2176?\nAnswer: 3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**3 + 102*o**2 + 57*o - 56. What is m(13)?\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5950 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3, 0.08, -3, 4 in ascending order.\nAnswer: -3, -2\/3, 0.08, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112628443 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 + 12*a**2 + 13*a - 8. Let w(h) = 23*h**3 - 60*h**2 - 64*h + 41. Let z(n) = 11*v(n) + 2*w(n). Suppose z(j) = 0. Calculate j.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62001.12 - -2502580.9.\nAnswer: 2564582.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and (-420)\/(-18)*72\/14.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19061 is divided by 166.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27778 = -2637*i + 1906*i for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7 - 33 = 0. What is the common denominator of -111\/40 and (j + 1)\/((-216)\/(-243))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 0) + 2 - (-68 + (0 - (5 - 19)))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/5 and -5 - (-1158)\/(-414)*-2?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + ((-44028)\/(-615))\/((-222)\/3). Let x = d - -3\/185. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:14 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 + 6 - 5) + 6 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*g = -i - 10, 2*g = 3*i + 11. Let l be 5 + (3\/3)\/i. What is the second derivative of -z + 0*z**2 - 2*z**2 + l*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, 5, -4 in increasing order.\nAnswer: -4, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at most as big as -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k**2 + k + 1. Let x be o(-7). Let y = 49 - x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = 4*r, 2*t + 4 = -0*t - 4*r. Let q = 5 + -5. Solve t*o + 4 = -4*h, -12 = 4*o + 2*h - q*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by ((-168)\/(-1 - -5))\/(28 - 30).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**7\/14 + d**6\/10 - 3*d**5\/10 - d**4\/2 + d**3\/2 + 3*d**2\/2 + 9*d. Factor c(x).\nAnswer: 3*(x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 9*s - 22. Let i(m) = -m**2 - 4*m + 10. Determine 5*i(b) + 2*r(b).\nAnswer: -3*b**2 - 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from plppzpwppzpl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 140. Suppose 0 = -2*c + p + x, -3*c = -5*c - 5*p + 41. Let f = 21167 - 21161. What is the remainder when c is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629025185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -80709, -161419, -242129, -322839, -403549?\n\"Answer: -80710*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 107. Let s(o) = 7*o**2 + o - 216. What is -5*c(q) - 3*s(q)?\nAnswer: -q**2 - 3*q + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 5*c**3\/6 - 9*c**2\/2 + 2*c + 233. What is a(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1981 is divided by 149?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 49343.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 270*y + 2356. Give r(-12).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4*b + 6. Let q be i(2). Suppose -16 = -3*s + q*v + 2*v, 20 = -3*s - 5*v. What are the prime factors of -2*123\/(-6) - (0 + s)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -5*l**8\/1344 + l**7\/280 + l**6\/240 + 2*l**2 + 1. Let x(u) be the second derivative of s(u). Factor x(n).\nAnswer: -n**3*(n - 1)*(5*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3617974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02404 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*(-4)\/(48\/(-9))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(14) + sqrt(56)) + (1*sqrt(98))\/sqrt(7))\/(4*sqrt(21)\/sqrt(3)*-4))**2.\nAnswer: 121\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*b + 3 + (1 + 1 + 0)*(-111 - 12*b + 111) - 78*b + 89*b - 118*b as w + m*b and give m.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 6, 145*g = 150*g - a - 392. Calculate the least common multiple of g and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449544879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g**4 + 0*g - 2 - 1\/2*g**2 + 0*g**3 - 2\/3*g**6 + 0*g**5. Find the second derivative of u(l) wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/12 + m**3\/3 + 3*m**2\/2 - 6*m. Give t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 6) to base 4\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 4*k - 100, -16 = -t + 4*k. Solve -t*d = -33*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 57*p**4\/4 - 13*p - 94. What is the derivative of j(y) wrt y?\nAnswer: 171*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 4*v - 4. Let a be x(2). Suppose a*c = 5*c + 9. Solve 6*o + 13 = 3*o - 2*b, 0 = 2*o - c*b - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (7 - (28 - 17))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -128278 minus -109?\nAnswer: -128169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76372573 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42785313 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 4*t**2 - 4*t + 10. Calculate the least common multiple of i(3) and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 3 (d) -3 (e) -77 (f) 1\/7 (g) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (4 - 11) + (0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/4, 0.228 in decreasing order.\nAnswer: 3\/4, 0.228, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 6, 6\/599, -3 in ascending order.\nAnswer: -3, -0.5, 6\/599, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432952087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 333 = 8*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80866614879 plus -2.909?\nAnswer: -80866614881.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**3 - 617452*d**2\/9 - 588168728*d\/3 + 334220912.\nAnswer: -2*(d + 5718)**2*(27*d - 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -127 - 29. Calculate the greatest common divisor of v and 1664.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u**3 + 55*u**3 - 26*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.057 - 0.017. Let c = -0.07399912 - k. Round c to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 4. Let l(z) = -3*z + 3. Let s(n) = -5*l(n) + 4*m(n). Let x(c) = -c - 4. Give 4*s(a) + x(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*u - 7, -b - 1 = -0*u + u. Let f(k) = -1 + b + 26*k - 28*k. Let j(x) = 4*x. Determine f(j(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*a - 160*a = 55 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + 1)*(-3)\/(-6). Let p(v) = -v - 1. Let w be p(d). Differentiate 0 + 3 + 1 - w - 4*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -14*g**3\/3 + 1473184*g**2 - 5682262*g\/3 + 420908 = 0.\nAnswer: 2\/7, 1, 315681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 2758 - 6961 = 0. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 - 181. Let i = -5 + h. Let y = 75 + i. Calculate the highest common divisor of y and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2042439 and 42?\nAnswer: 4084878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777, -790, -803, -816, -829, -842?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20791204*k - 17093933?\nAnswer: -20791204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653385.\nAnswer: 3, 5, 17, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 1, p: 2, u: 1, s: 2, q: 1}. Give prob of sequence quyp.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11836*r**2 + 26518*r?\nAnswer: 23672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 714 - 717. Let i be 2\/12 + 50\/(-12). Which is the smallest value? (a) i (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 200*o**4\/3 - 2840*o**3\/3 + 562*o**2\/3 - 28*o\/3 = 0. Calculate o.\nAnswer: 0, 1\/10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 4, 158, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10653 = 2330*g + 7987. Let c(a) = -a - 2. Let m be c(-5). Let i(w) = m*w - w - w + 7. Give i(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/(2\/6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 18*d - 21*d. Let o = d - -93. Calculate the common denominator of -15\/16 and (o\/21)\/((-18)\/1863).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572000 = 15*w - 19*w. Round w to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.1, 4140, 2, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (-1 + sqrt(931) + sqrt(931) + 1)**2 + (2 + (-3*1*sqrt(95))\/sqrt(5))**2).\nAnswer: -11709 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.021 and 3774.\nAnswer: 3774.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132979202 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaappccaccapr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.57 + 1.5699484. Round b to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3392\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 0 + 2 + 0 + 0. What is the lowest common multiple of c(5) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191139, -191165, -191191, -191217, -191243, -191269?\nAnswer: -191295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 28 + 78 = -5*a, -a = n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 0.4, -0.053, 1, 4\/7, -2\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 781 and 15265142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -9, 61, -1.27 in increasing order.\nAnswer: -9, -1.27, -2\/7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from yygygggjgyjy?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-5) - (-3)\/15. Suppose -2*u = x - 14, x - u = 4*u + a. 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 next in 4468, 4461, 4450, 4435, 4416, 4393?\nAnswer: 4366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4159*w + 4. Let u(d) = 4148*d + 2. Determine -3*u(z) + 2*v(z).\nAnswer: -4126*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 - -92. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*2 + 4. Suppose 5*u - 147 = 4*m - 58, -s*u + 2*m + 34 = 0. Let q(w) = w**3 - w**2 - 3*w + 2. What is the remainder when u is divided by q(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 5) + 2 + 7 + 9 + -12\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -60. Solve 5*x + 4*g - q = 14, -4*g = -8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/6*59184\/84 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806149?\nAnswer: 199, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j**6\/j*j)\/((j*j**(-3))\/(j*j*(j*j**(-6)*j)\/j)) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-207*k - 7*k - 250*k)*(1 + 1 - 3)*(-2*k - 2 + 2) as i*k + b + w*k**2 and give w.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2\/2 + 12*g - 1. Suppose -28*m = -4*m - 96. Suppose -5*f + l = -4, m*f - 42*l - 8 = -40*l. What is y(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 9:25 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 (base 11) in base 6?\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, g: 1, f: 2, d: 1, y: 1}. Give prob of sequence fd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12145 is divided by 674.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.97 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2. Suppose 7*o = 4 - 4. Let n(j) = 0 + 7*j + 2 - 8*j + o. Determine c(n(t)).\nAnswer: t**2 - 4*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 3, y: 4}. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - p**2 - 131*p + 113. Give c(0).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 1, i: 1, y: 3, d: 1, o: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119495957.\nAnswer: 7, 2438693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + x - 3*x)*(x - 4*x + 2*x) - 3*x**2 + 4*x**2 - 2*x**2 - 2*x**2 + 4*x**2 - x**2)*(22 - 48*x**3 - 22).\nAnswer: -96*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -2*((sqrt(128)*-1)**2 - sqrt(128)) + (-1*sqrt(128)*3)**2 + 5.\nAnswer: 16*sqrt(2) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 9*s - 186 = 13*r + 5*r + 9*s, -2*s - 60 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.26123 and -3.\nAnswer: -20.26123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrpbrrpprpx. What is prob of picking 1 p, 1 b, and 2 r?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118*r**4 + 2*r + 160?\nAnswer: 472*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or -2227?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*n + 0 + (-5 - 1 + 4)*(4 - 4 + n) - 2 + 2 + n - 6*n + 4*n + 0*n - n - n - 2*n + n + 7*n - 3*n)*(1 - 2 + 4)*(3 - 1 - 3).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*g - 34, -8*g + 5*g - 49 = -5*o. Suppose -12*q**2 + 0*q**3 - 4*q**4 + 24*q**3 - o*q**2 = 0. What is q?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102736496 is divided by 20547298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*f - 7 - 1591*f - 1 + 801*f + 6.\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j - 17 = -2*x - 29*j, 5*x - 18 = 4*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6 and (-329)\/(-126)*(-6)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - 4223431?\nAnswer: -4224034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.625 rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 + (-6)\/9. Suppose b = 8*o - 6*o. Suppose 3*p + o*p = 30. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41920054 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430224.\nAnswer: 2, 3, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/185? (a) -4\/5 (b) 5 (c) -4 (d) -0.942 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3\/12 - 129*b**2\/4 - 2779. Factor a(i).\nAnswer: i*(i - 258)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 91 + 2191*y - 2186*y.\nAnswer: 5*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 4*d**2 - 2*d - 2. Let y be r(-3). Suppose 4*t + 2*p = -54, 6*t - 2*p - 12 = 7*t. Let f = t + y. Let g(k) = 6*k**2 - k - 1. Give g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = -d, 4*k - 2*d = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(20)\/sqrt(4)))**2 + (1*2*sqrt(55))\/sqrt(11).\nAnswer: 34*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 1. Suppose -21*h + 24*h + 918 = 0. Let r = 305 + h. Let i(y) = y**2 + 2*y - 2. What is r*i(s) - 2*t(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12664*(-11 + 92\/8).\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -360, -4, -5, 3\/5, 9 in descending order.\nAnswer: 9, 3\/5, -4, -5, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cziz when four letters picked without replacement from gggciggggggzgz?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*f + 5, -17*f + 13*f - 4*g - 4 = 0. Let x be (-5)\/2*2\/10. What is the nearest to -0.1 in -2\/5, x, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 4. Let j be h(-3). Let u(s) = -18*s + 2. Let q(z) = -9*z + 1. Let f(w) = -13*q(w) + 6*u(w). What is the remainder when f(j) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -0.4, 5, 0.1, -12 in decreasing order.\nAnswer: 5, 0.1, -0.4, -12, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103381\/4 - -723629\/28. Let a be 0 + 2\/((-38)\/37). Let z = -773\/114 - a. Find the common denominator of z and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172*p - 18672 - 22154 = 349*p + 1147 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -46 - (407 + -292 + -76).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + (-36)\/(-15). Let s be (7\/p)\/7*354. Suppose -s = -0*u - 3*u. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032876 rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*a - 3044, -2*a + 4 - 2 = 0. Let m = t - -1154. Is 47 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**4 - 32*s**3 - 42*s**2 + 32*s + 35. Let t(f) = -51*f**4 + 321*f**3 + 423*f**2 - 321*f - 351. Let l(b) = 21*k(b) + 2*t(b). Factor l(h).\nAnswer: 3*(h - 11)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 11*j - 5. Let g be h(-8). Find the third derivative of 6*d**3 - g*d**2 - 19*d**2 + 32*d**2 wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -83. Let m(i) = i**3 + 1 + 4*i**t - 7*i**3 + 3*i**3 - 2*i**3 + 5*i. Let p(f) = -3*f + 4*f - 2*f. Calculate -m(a) - 6*p(a).\nAnswer: a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-20) + 26\/(-10). Let y = 7 + t. Solve -y*i - n + 0*n = 17, -2*i - 11 = n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 32 + -1 + -48 + 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2535 + 4544. Is 49 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-9))\/(((-10)\/(-18))\/5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**2 - 20*j**2 + 110*j**2 - 28*j**2 - 33*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 11*x + 6 = -2*q, -5*x - 2*q = 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-4))\/5*4\/30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 91, 89, 69, 25, -49?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22020120010 - 210?\nAnswer: -22020120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 43. Let u be (-5)\/(-3)*(-2 + y). Solve -2*j + 7*j = -u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -10. Suppose 20*u = 12*u - 584. Let o = u + 76. Calculate the remainder when c is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u - 16. Let r = 71 + -62. What is the smallest common multiple of r and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(9*(-3)\/(-18)). Let s(u) = -49 + 45 + 0*u**m + 3*u**2 - 9*u. Does 20 divide s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 452, 419, 352, 239, 68, -173, -496?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26484155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1*(-3)\/(-3)). Let t(c) be the second derivative of 0*c**3 + 0*c**2 + u + 1\/12*c**4 + 3\/20*c**5 - 3*c. Find the third derivative of t(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 206379978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/12 - 207\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319746 is divided by 286.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 990\/(-54))*9\/24*8?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twyuhthuhhhhuuw. What is prob of picking 1 u, 1 t, and 2 w?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooonocn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxcuxxuc. Give prob of picking 1 c and 3 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -104.\nAnswer: -17\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5001894, -10003788, -15005682?\nAnswer: -20007576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*-34134670\nAnswer: 102404010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/3, -4, 59\/109.\nAnswer: -4, -2, -1\/3, 59\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = -28*z - 72. What is the derivative of 35 + z*g + 41*g - 36*g + 43*g wrt g?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5 + 129*h**4 + 67*h**2 + 1857508*h?\nAnswer: 40*h**3 + 1548*h**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 23 = -5*h. Let i = -13325 + 13339. Calculate the greatest common factor of h and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4351306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(468) + -2) + 4)*-5 - (3 + sqrt(468) + 1 - ((sqrt(468) - -1*sqrt(468)) + 3)))*4)**2.\nAnswer: -35712*sqrt(13) + 284944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-8 - -3) + 2 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*p**5 - 25*p - 2 wrt p.\nAnswer: -380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27404, 109563, 246494, 438197, 684672, 985919, 1341938?\nAnswer: 1752729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -700 by -4.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1112, 1116, 1132, 1166, 1224, 1312?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3, 4*l = 3*y + 2*y - 2153. Suppose 107 = -2*s - y. Round s to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1733 = 3*s - 1745, 0 = -5*a + 5*s - 20. Suppose h = -3*h + 6832. Suppose 7*x + 7*x - h = a. What is the remainder when x is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**7\/840 - c**6\/360 - c**4\/3 + c. Let u(i) be the third derivative of p(i). What is the second derivative of u(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1\/6, 0.01216, 19?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23386 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*f - 116*f + 12. What is the lowest common multiple of f + -2 - 0\/((-36)\/6) and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-2)\/2 + 2). Suppose 915*a - 2050*a - 4540 = 0. Sort 7, f, a in ascending order.\nAnswer: a, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/568386 and -85\/1697871?\nAnswer: 132433938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:48 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4581410 (base 9) in base 11?\nAnswer: 144019a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -3, -40 in ascending order.\nAnswer: -40, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -b1?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*z**2 + 9385*i**3*z - i**3 + 6*i**2*z**2 - 4492*i*z**2 wrt i.\nAnswer: -6*z**2 + 56310*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-4)*d*(d*d\/((d*d*d**3)\/d))\/d*d assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2004 is divided by 441.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1419*z - 8505. Calculate the smallest common multiple of g(-6) and 846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1. Let m(q) = 9 - 19 + 13 - q. Let o(d) = -2*d + 34. Let f be o(16). Let n(t) = f*m(t) + 6*k(t). Let h(r) = -35*r. Calculate h(n(a)).\nAnswer: 70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 22086019 + 66006019 = 0. Suppose -f - 6*n - 5490000 = -11*n, -3*n = -4*f - o. Round f to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1119675*1\nAnswer: 0.1119675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0*n*n**5)\/(n\/(n\/((n*n*n\/n**(2\/5)*n*n)\/n)))**(-7))**(-37))**48 assuming n is positive.\nAnswer: n**(-285936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89961 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = 7*j - 5*j. Let l(r) be the third derivative of -4*r**2 - 1\/60*r**5 + 1\/360*r**6 + 1\/24*r**4 - 1\/18*r**3 + 0 + j*r. Factor l(p).\nAnswer: (p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 554990.9kg?\nAnswer: 554.9909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 365 and 4270135?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + ((6*(-1 + sqrt(363)))**2 - ((2*sqrt(363))**2 + -1)) + 3 + -3.\nAnswer: -792*sqrt(3) + 11657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a + 2*a**3 + (3*a + 3*a - 4*a)*(a**2 - a**2 - 2*a**2) + a**3 - a**3 - a**3 + 0*a**3 + 2*a**3 - 4*a**3 + (-48*a**3 - 75*a**3 + 39*a**3)*(-3 + 3 - 1).\nAnswer: 79*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 4\/10)*40. What are the prime factors of (-12)\/t*(-7 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 3130624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138082212 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2716 + -0.6639.\nAnswer: -2716.6639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**4)\/k)\/k**(-1\/3))\/(k**(1\/11)\/(k\/(k\/(k**(-5)\/k))))*(k**(1\/2)\/(((k\/k**(-8))\/k)\/k))**(-5\/17) assuming k is positive.\nAnswer: k**(-7681\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h - 2 + 1 + 6*h**3 + 11*h**2 - 4*h**2. Suppose 35*s = 30*s - 4*l + 19, -s + 4*l = -23. Let i(w) = 5*w**3 + 6*w**2 + 6*w - 1. Give s*i(t) - 6*v(t).\nAnswer: -t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482444830 rounded to the nearest 100000?\nAnswer: 1482400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.1, 189, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 136*w**2 - 2*w + 1. Let v be t(1). Let g = 10 - 7. Let j be -1*(g - 11\/((-11)\/(-18))). What is the highest common factor of v and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.877 to two dps.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 6*k**2 - k + 15. Give v(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -98*t + 7. Let k(v) = -33*v + 3. Give -4*c(u) + 11*k(u).\nAnswer: 29*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 4fa6ad?\nAnswer: -4fa6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5869.\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -79. Let q = -15 + 17. Let r be 1\/(q - (-2 - -3)). Sort s, -5, r in decreasing order.\nAnswer: r, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g - 2. Let i(v) = 5*v**2 + 4*v - 7. Let b(l) = -i(l) + 4*s(l). Calculate b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 5336?\nAnswer: 5336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = 0, 4*z + 0*z + 53 = 5*p. Suppose -5*a + p + 2 = 0. Suppose a = -j - 1. Sort -5, j, 0 in descending order.\nAnswer: 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/15 - 4*y**4\/5 + 8*y**3 + 140*y**2\/3 + 334*y\/5 + 144\/5 = 0.\nAnswer: -9, -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15176, 60656, 136442, 242534?\n\"Answer: 15153*f**2 + 21*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1.63, 1\/3, -1685, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 21. Suppose 2*z - d = 9. Suppose z = 4*y - 33. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -321312.57712.\nAnswer: -321312.37712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 18 = -2*w. Let r = w + -13. Let g(m) = 4*m - m - r*m + 3*m. Let n(s) = 12*s. Calculate n(g(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 11)*(-33388)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 3}. What is prob of picking 2 c and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/7 + 3879*h**4\/7 - 1567488*h**3\/7 + 200057580*h**2\/7 - 6448728000*h\/7 - 147232800000\/7 = 0. What is h?\nAnswer: -15, 104, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*a**4*f*g - 8*a**4 - 2*a**3*f*g + a**2*f + a*f*g - 83*f wrt a?\nAnswer: 360*a*f*g - 192*a - 12*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**6\/30 + 7*n**5\/20 - 13*n**4\/12 - n**3\/2 + 9*n**2 + 4*n - 13. Let t(b) = 0. What is b?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331183 to the power of 1\/2, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332725204?\nAnswer: 2, 7, 1039, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 + 650\/3. What is the closest to p in -3, 2\/23, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/7 + 4\/14. Suppose x*w + 12 = -0*w. What are the prime factors of 105\/14*w\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -7 (b) 2\/9 (c) 7 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (0 + -11)\/11. Let t(d) be the first derivative of 21 - 19\/3*d**c + 0*d**2 + 0*d. Let f(h) = 2*h. What is t(f(a))?\nAnswer: -76*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56862*j**3 - 91763*j**2?\nAnswer: -341172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -6a?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 7:37 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (431 - 1001 + 425 - 3*b)*(-1 + 1 + 1) in the form i + f*b and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 353167133 to the power of 1\/2, to the nearest integer?\nAnswer: 18793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9238.665 millennia in decades?\nAnswer: 923866.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7702866, -15405741, -23108614, -30811485, -38514354?\n\"Answer: z**2 - 7702878*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 61*g. Let f(w) = 12*w**2. Determine f(z(p)).\nAnswer: 44652*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30087 - 30084. Solve 9 = -3*l, 5*s - 144*l + n = -140*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1420 divided by 2\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132209533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -13*n**2 + 9*n - 8. Suppose 13 = 5*j - 7. Let s(y) = -6*y**2 + 4*y - 4. Let u(z) = j*k(z) - 9*s(z). What is the first derivative of u(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4155 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**3*j**3*s**2 - 58*i**3*j**3 + 2*i**3*s - 13*i**2*j**2*s + i**2*s**2 - 2*i*j**3 + i*j**2*s - 2*j**3*s wrt i.\nAnswer: 36*j**3*s**2 - 348*j**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5182 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371673 is divided by 2429?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*q - 28, 111*q - 104*q - 2*i - 28 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 26a?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21 = -5. What is the lowest common multiple of j and 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 + 25*r**2 + 48*r - 298. What is i(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 48*u**2 + 199*u - 584. Calculate i(44).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 + -3398202.\nAnswer: -3398301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63022272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23943 is divided by 1082?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 30*z**3 + 22*z**3 + 9*z**3 + 32*z**3 - 57*z**3.\nAnswer: 36*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {i: 4, n: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i = -68*i - 3. Let a be (-5 + (-54)\/(-12))*i*2. Solve a*k + 2*h - 8 = 0, -k - 6*h + 4*h = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpff when four letters picked without replacement from {p: 5, f: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4876, 4884, 4894, 4906, 4920?\nAnswer: 4936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x + 4 - 4 + (-1 + 1 + 2)*(-2 - 1 + 5)*(3*x - 2*x + 2*x) to the form g*x + t and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:24 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 60 = -2*y + 14*o - 58*o, 0 = -5*y + 7*y + o - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 15. Suppose q = -w + 4. Let t(o) = 3*o**3 - o**2 + o + 2. Let b(z) = -8*z**3 + 3*z**2 - 4*z - 6. Let l(m) = 4*b(m) + 11*t(m). What is l(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 19. Let q = -24 + 22. Let a be q + 94 - (0 - 3). Calculate the greatest common divisor of a and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37137160 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.05479 times -0.5\nAnswer: -0.027395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g**2 - 954*g - 4559. What is h(-5)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 398?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 16*g + 20. Let x be h(-17). Suppose 0 = 2*s + x*d - 79, 5*d - 4*d = -s + 41. Let j(z) = -s + 39 + 19 + z. Calculate j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66717248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 696428053 to the nearest 10000.\nAnswer: 696430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*c**3 + 345*c - 345*c - 108*c**3 - 110*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c + c. Calculate the greatest common factor of c and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17984, -17851, -17718, -17585, -17452?\nAnswer: -17319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g + 126. Let d be z(11). Suppose 1025 = n + 3*k - 5*k, 5*n - 5145 = d*k. What are the prime factors of n?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = -9*i + 178002. Suppose 13*l + 1214 = i. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:35 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-95)\/((-3895)\/2214).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010196 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - 4*d + 167, 0 = 5*u - 4*d - 715. What is the greatest common divisor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96185, -96039, -95893, -95747, -95601, -95455?\n\"Answer: 146*a - 96331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 0, f + 8 = -j + 3*j. Let h(l) = -l**2 - 1. Let w(o) be the third derivative of -o**5\/20 + o**4\/24 - o**3\/6 + 16*o**2. What is j*h(g) - 2*w(g)?\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -4)*10\/12*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzf when three letters picked without replacement from xxzxzlfxxfxxfxxfxxx.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11131 = -10*s + 13*s, -4*x = s - 22267. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and -102.\nAnswer: 9384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1836706 greater than -1836708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (180\/(-30))\/((-3652)\/8 + -1). Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 20 - 6 = 4*t, 0 = 2*x + 3*t + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3*(0 - (-1 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14574 or 14576?\nAnswer: 14574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -664*i + 180221. Calculate w(271).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 + -4.1. Sort 1\/11, 3, h in increasing order.\nAnswer: 1\/11, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143*s**3 + 2*s + 303 wrt s?\nAnswer: -429*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10*x = 115. Let w = x - -35. Suppose 4*s = 12, h + s - 52 + w = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1548 - 661. What are the prime factors of u?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 - -16.9. Let q = h - 11. Let j = -0.31 - -0.3. Put j, -0.1, q in increasing order.\nAnswer: -0.1, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3973284 by -47301.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -2*q**3\/3 - 1. Let x(z) = 3*z**2. Calculate x(t(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b = -29*b - 15*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + 0*l**2 - 62669*l + 31321*l + 31348*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -3*g**2\/2 + 64. Let n be (-1)\/3 - (-10)\/(-6). Let q be ((-1)\/1)\/1 + n. Let j(a) = -4*a + 1. Determine q*c(b) + 2*j(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.022?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - -0.53. Let k = -19\/15 + 13\/15. Let r be 1\/1*2\/(-6). What is the nearest to k in z, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(1\/(-1*7)). Let j = 569\/8 + u. What is the common denominator of ((-106)\/(-30))\/(6\/(-5)) and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6345)\/3969)\/(-47))\/((-325)\/(-78))?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/702 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 less than 0.0425535?\nAnswer: -348.9574465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (1*sqrt(360) - sqrt(360)))\/sqrt(8).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 460013 = -6*m + 5*m, 4*m - 5*n - 1840052 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -29 - ((1 - 1) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (894*12\/18)\/2. Let o = q - 174. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.6, -3\/4, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -4.2. Let k be (8\/(-2))\/(16\/(-20)). Which is the second smallest value? (a) -5 (b) z (c) 5\/4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -559 - -556. Which is the second biggest value? (a) y (b) 11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87685, -87683, -87681, -87679, -87677?\n\"Answer: 2*n - 87687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -13*f**6\/60 - f**5\/60 - f**2. Let d be b(1). Let v be d\/6*(-8)\/6. Solve v*q - 20 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(3134\/21938*14\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7)\/(w\/w**(-2\/17)))\/((w**(1\/2)\/w)\/w)**37)**(-11\/7) assuming w is positive.\nAnswer: w**(-143121\/1666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*f - 24 = 5*f, 4*f = -5*l - 40. Let h(m) = -m**2 - 8*m - 14. Calculate h(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/6 - 6\/9. Let u be c\/4 - (-9 + 3). Suppose -b + r - 47992 = -r, 2*b - u*r + 95992 = 0. What is b rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3773 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*f + 3930 = 396*f. Solve 5*w + 8*v = 6*v - f, 0 = -3*w - 3*v - 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**3 + 1170*c - 10486?\nAnswer: -15*c**2 + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:20 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74e69a (base 16) in base 2?\nAnswer: 11101001110011010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11 - 3*y + y**2 + 3 to the form n*y + w*y**2 + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3\/3 - 112*y**2\/3 - 115*y = 0?\nAnswer: -3, 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*f + 171. Let l be 1338\/(-111) - 16\/(-296). Let m = f + l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2100 is divided by 1865.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3\/2)*w)\/w**(-1\/5)*(w*w**0)\/w*w*w**(1\/7)*w)**(-3))**(-2\/17) assuming w is positive.\nAnswer: w**(387\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 9430971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 132313177?\nAnswer: -1\/132313177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 8*g**2 + 8*g - 4. Let p be u(7). Suppose 5*d - p = 7. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 28. Let u(s) = s + 1. Let v = -6729 + 6730. Calculate v*r(x) + 2*u(x).\nAnswer: x + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b - 2. Let z(x) = x**3 - 13*x**2 + 11*x + 16. Let o be z(12). Suppose 10 = f - 5*r, o*f + r = 6*r - 5. What is s(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 18. Suppose 509 = v*j + 14. Suppose -2579 = -2*o - j. Round o to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -60768\nAnswer: 13\/60768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -5*(-4)\/20. Let b be (0\/j)\/1 - -155. Calculate the greatest common divisor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266601 (base 8) to base 14.\nAnswer: -26157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:10 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**3 + 3*t**2 - 4*t + 2. Let h = -3 - -5. Let y be g(h). Let q = y - 58. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 2, z: 1, h: 1, d: 1, q: 2}. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -26376 at most -457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1161.4 - 1159.4. Put 0.001, 0.5, 27, v in decreasing order.\nAnswer: 27, v, 0.5, 0.001","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47421.15290009 - -0.03.\nAnswer: -47421.12290009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -38, -1.\nAnswer: -38, -17, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/622328 and 41\/2.\nAnswer: 622328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157 - -253. What is the smallest common multiple of c and 3?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 17*v + 32. Calculate l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3861 - 0?\nAnswer: -3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2 - a*b**3*n + 2*a + 4*b**3*n - 31*b**3 - 3*n - 3 with respect to a.\nAnswer: 2*a - b**3*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.9 - -0.1. Let h = 20 + -11. Let i = h - t. Which is the smallest value? (a) i (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j + 0*j)*(0*j**3 + 4*j**3 - j**3) - j**4 + 0*j**4 + 2*j**4.\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -152630652 rounded to the nearest 10000?\nAnswer: -152630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.7 + -7.66. What is the closest to 0 in k, 1, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 75.000000278. What is k rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537*a + 539*a - 14 = 0. Solve a + 4 = -11*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m - 40. Give g(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/124)\/((-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1769)\/87)\/61)\/23.\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 1, y: 1, z: 1}. Give prob of picking 2 h and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09514206 - 435932.\nAnswer: -435931.90485794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25158\/12 - 1\/2. What is the highest common factor of x and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z**2 + z - 4. Suppose -4*d + 16 = g, 0 = d + 3*d - 12. Give y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-85) - 23\/51. Let y(c) = c**2 + 6*c + 2. Let r be y(-5). Let a be ((-2)\/r)\/((-26)\/6). What is the nearest to 0.1 in l, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5318\/27 - -197. Let d(t) be the first derivative of 0*t - 2\/45*t**5 - 4 + 2\/27*t**3 + 0*t**2 - x*t**6 + 1\/18*t**4. Factor d(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 1640*v**3 - 99710*v**2 - 5702280*v - 60447645.\nAnswer: -5*(v - 183)**2*(v + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 17 = -4*b - 2*j, 5*b - 3*j = 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1308688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 9*v**3 + 0*v - 10*v.\nAnswer: -9*v**3 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a)**(2\/55) assuming a is positive.\nAnswer: a**(-4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j + 2. Let c(w) = -3*w + 7. Let o(g) = g - 1. Let a(y) = j*c(y) + 4*o(y). List the prime factors of a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26002111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 - 10*q**3 - 91*q**2\/2 - 59*q - 24.\nAnswer: (q - 24)*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-490))\/(2588\/64700).\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2862551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -849 + 1755\/2. Calculate the common denominator of 37\/8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4726 and -2.\nAnswer: -0.9452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5 - -5) + -5 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1)*(171 - 8). Are u and -164 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*a + 563*a + 66408 - 12453 = 118*a for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)\/sqrt(8)*1)\/(2*sqrt(2)*2 + (sqrt(2) - sqrt(20)\/sqrt(40))).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5293 is divided by 475.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 7. Let w be m(-9). Let g(f) = f**3 - 7*f**2. Let y be g(7). Suppose y = c + 2*c + 9. Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6323*f**3 - 2503*f**2 - 1427*f**3 + 749*f**3 - 2363*f**2 wrt f.\nAnswer: 33870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -56, -38, -4, 52, 136?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/996 and 73\/42?\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -11 + -18 + 3\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -868 + 4?\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 4.4. Let h be ((-1)\/2)\/(1*2). Suppose -4*v - 13 = 5*j + 6, -v = -5*j - 14. Which is the second smallest value? (a) j (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 6*h**2 + 17*h + 9*h**2 to the form g*h**2 + s + u*h and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4111b1 (base 12) to base 13.\nAnswer: 298510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1714606*l*m**2 - 10*l*m - 7194*l - 3*m**2 - 2*m + 5 wrt m?\nAnswer: -3429212*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2619 = -32*l - 72*l - 189 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*s + 4 = 0, -2 + 5 = -3*n + 3*s. Let b be (8\/(-20))\/(n\/5). Sort -3, 6, b in ascending order.\nAnswer: -3, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 8. Find the first derivative of 7*m**2 - 1 + 2*m**3 - 7*m**z wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*p**5 - 7116*p**4 - 4977*p**3 + 85056*p**2 - 10224*p = 0 for p.\nAnswer: -71, -4, 0, 4\/33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-7) + 3 + -3. Let j(p) = 4*p**2 + 6*p - 5. Let f(u) = 5*u**2 + 7*u - 6. Calculate o*j(z) + 5*f(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23058 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -26\/4587 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t - 14. Let v be z(13). Let o be (-3 - 4\/(-2)) + v. What is o rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + f**2 - f + 2. Let b be v(2). Let x(u) = -4*u - b*u - 10*u. Let y(s) = 2*s**2. What is x(y(g))?\nAnswer: -68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6647 (base 9) in base 4?\nAnswer: -1030213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -1 + (11 + -17 - 7 - -11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-864)*-408 - 41?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33913.6179552 + 3?\nAnswer: 33916.6179552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -42*b - 26. Let u(r) = 13*r + 8. Let s = -1011 - -1024. Let p(i) = s*u(i) + 4*h(i). Let z(j) = -82*j - 2. Determine z(p(m)).\nAnswer: -82*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -377 * 2117.8\nAnswer: -798410.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -662.79 + 656. Round w to 1 dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 17*z + 24. Let p(h) = 1 - 9 - 9*h - h**2 + 1. Let t be p(-7). Let w be d(t). What is the third biggest value in -7, w, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 8) to base 16\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y - 14*y - 7*y - 5*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 842765, 1685525, 2528285, 3371045, 4213805?\n\"Answer: 842760*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -212 (b) -28\/9 (c) 0.5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 149*c**2 - 1650*c + 858. Give n(137).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87365.\nAnswer: 5, 101, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0, -1, 6, 4.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.36 and -32523.\nAnswer: -11708.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(75\/(-12))*(-405)\/(-54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -83880 + (0 - -1) - 2. Let y be -163877 + -5 + -3 + 4. Let r = y - x. Round r to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-4))\/((-1165)\/466).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000204 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 17. Let n be z(-9). What is the hundreds digit of 9\/21 - n\/105*-6978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -173, -2?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-28))\/((1*8\/4)\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiib. Give prob of sequence bb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 878654963 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {m: 1, c: 2, u: 6, b: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 + -100 - -96) + 104.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = 5*y + 23, 3*y + r + 17 = 0. Let p be 2\/y - (-90)\/21. Let l(d) = 7*d**2 - 2*d**2 + p*d**2. Let f(w) = 2*w**2. Calculate l(f(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106256 and 33672160?\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = -2. Does 5 divide 1\/o + (-234)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/3029 - 221081\/18174. Find the common denominator of u and -91\/852.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 101422*r**2 + 5679536*r\/7 - 11359008\/7.\nAnswer: 2*(r - 354969)*(r - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-6)\/2 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/15 + x**3\/2 + 2*x**2. Let v(j) = 5*j**2 + 3. Let y(h) = -3*b(h) + 2*v(h). What is the first derivative of y(o) wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, -4, -3 in descending order.\nAnswer: 5, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 925000 rounded to the nearest 10000?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 8 = 58 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 151*o - 118. Let b be s(1). Solve -89 + 23 = -b*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22816 + -22.\nAnswer: -21.77184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18295 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from teititqiemtqtikkkiit?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/9 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 - 9?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260200 is divided by 86728.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 124*t\/11.\nAnswer: -2*t*(t + 62)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 581301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 214974614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tata when four letters picked without replacement from taat.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 3. Let h(n) = -9*n + 5. Let x(j) = -3*h(j) - 7*v(j). What are the prime factors of x(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/10 - (2 + 1). Suppose -1 + o*p**2 + 1\/2*p = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 12338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 93*x**2 + 32*x - 4345. What is p(-94)?\nAnswer: 1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let j = -7 - -5. Let q be ((-3)\/j)\/((-1)\/d). Put 5, 0, q in decreasing order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 626 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*(-48)\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17599973 divided by 3?\nAnswer: 17599973\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1920728849?\nAnswer: 13, 71, 2080963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((288\/(-225))\/((-1)\/(-5)))\/((-6)\/15)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -240?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2551588*w**2 - 17772*w - 436.\nAnswer: -5103176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/8, 1, -2, -8.2, -5 in decreasing order.\nAnswer: 1, -3\/8, -2, -3, -5, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from kfkccv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three twentieths of a litre in millilitres?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1281 = 4*j. Let p = j - -362. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4301 + 4545. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, 5, 26.\nAnswer: -22, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 21555*f + 839102. Give o(39).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 1, n: 2, x: 1}. Give prob of picking 1 z, 1 x, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 26*v - 717 = -25*v, -2*v = -5*h + 3594. What is the highest common divisor of h and 600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/4*11\/198.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -1)*(-65)\/(-20)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78*6\/27)\/(2\/78). Let m = z + 1076. Is m a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + 11*l. Let a be -15*(4\/(-12) + 0). Let y be n(a). Solve y*i - 4 = 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 36*u**2 + 30*u + 221. What is w(35)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10.35 (b) 2 (c) -5 (d) 1 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k - 7*k)*(-4 + 1 + 2) - 3*k + 4*k + 0*k + (-3 + 3 - 2)*(3*k - 4*k + 3*k) - k + 0*k + 3*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 39.966. Let f = -0.114 - h. Which is the nearest to f? (a) -5\/4 (b) 3\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65\/3 - 22. Let w = -0.94 + 3.34. Let p = w - 5.4. What is the closest to 1 in p, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 368*n**3 + 64*n**2 - 2485888*n.\nAnswer: 2208*n + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11021 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 16aa9a9?\nAnswer: 16aa9a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 16*v**2 - 4*v - 23. Give z(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h + 5. Let k(r) = 2*r + 5. Let o be k(-15). Let w = o - -76\/3. Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:33 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkk when three letters picked without replacement from kgkg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*d**2)*((1 + 1 - 1)*(2 + 4 - 4) + 799 - 373 + 113).\nAnswer: 1082*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 7*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnjjjzndjjdjjn. Give prob of sequence dj.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -241, -388, -567, -784, -1045, -1356?\nAnswer: -1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11467*r - 22 - 22 - 13 + 57.\nAnswer: -11467*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1669154 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p + 2. Let l be h(5). Let d = 762 - 757. Let n = 15 - 8. Solve 3*b = 5*o + 30, -4*b = -d*o + n - l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:21 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*o - 9 = 0, -5*o - 3 = -0*a - 4*a. Let v(b) = 20*b - 26. Calculate the remainder when 81 is divided by v(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2415, 4492, 6569?\nAnswer: 8646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2302857, -2302855, -2302851, -2302845, -2302837, -2302827, -2302815?\n\"Answer: p**2 - p - 2302857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88*5.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -267.4.\nAnswer: -263.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:32 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 80093, 4, 2 in decreasing order.\nAnswer: 80093, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 815050096, 815050097, 815050098?\n\"Answer: x + 815050095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 - ((-23 - -22) + 20)) + (1 - -20) + -64\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25068?\nAnswer: 2, 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 100 = -44*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286099.32 months in decades?\nAnswer: 2384.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*a - 75 = -3*n, 2*a + 387 = 5*n. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64457337*l**4 + 2*l + 25695939.\nAnswer: 773488044*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u - 7 = 0. Let s = -2 - u. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839033 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2. Let a be (-25)\/10*6\/(-3) - 5. Let w(k) be the second derivative of a - 1\/6*k**4 + 0*k**3 - 5*k + 0*k**2. Determine f(w(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 4 (c) -4 (d) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3927\/(-2992))\/((-27)\/(-12)))\/((-7)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 0*k**5 - k**5 + (2*k**2 - 3*k + 3*k)*(2*k**3 + k**3 - 4*k**3) + 821*k**5 + 3392*k**5 + 4186*k**5 - 25*k**3 + 25*k**3.\nAnswer: 8395*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 23. Calculate a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 16. Let c(g) = g + 3. Let b(v) = -22*c(v) + 4*y(v). Suppose -z + 60 = 62. What is the units digit of b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 + 12 = 0. Let u be 3 + 6\/k*-4. Suppose 0*h + h = u. Solve -3*z + 5*s = -21, -2*z + h*s = 2*s - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10340875 to the nearest 10000.\nAnswer: -10340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 - 328. Let x = z + 100. Solve 3*k + 5*q + 5 = -19, -x = 5*k - 3*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-282)\/(-60) + -4)*(-16)\/(-1540). Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 9 - 21. Let u be 114\/o + 1 + -2. Let d = u + 3. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 391*z + 13. Let u(g) = -72*g - 1. Let m(l) = p(l) + 5*u(l). Let q(f) = -1. What is m(b) + 6*q(b)?\nAnswer: 31*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 159.43787.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 864761 in descending order.\nAnswer: 864761, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 + 2*j**3)*(-1 - 1 + 4 - 1 + 2 - 2 - 2 + 2 + 1 + (1 + 1 - 1)*(-1 - 4 + 3) + 4 - 2 + 0 - 1234 - 378 - 60 + 0 + 2 - 4).\nAnswer: -3344*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 7\/8 + -1. Let t be ((-2)\/(-1))\/2 + -4 - -6. Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3047 - 1347. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-306)\/(-17))\/126)\/(6\/14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -897580 or -897579?\nAnswer: -897580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -26) + (-74 - -99) - (-2 - (-109 - -2)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5)\/d)**17\/(((d*d**(-1\/14))\/d)\/((d*d\/(d**(-5)*d))\/d)) assuming d is positive.\nAnswer: d**(831\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - t + 497224 = 0, 155*h + 4*t + 662928 = 159*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 10:00 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86381*m**4 - 796227*m wrt m.\nAnswer: -1036572*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -14)*(24\/336)\/((-4)\/(-56)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.440623371 and -5?\nAnswer: 20.440623371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 3421, -5, 2 in increasing order.\nAnswer: -5, -0.02, 2, 3421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-283)\/(-3) + -93)*(101 + -5).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1611\/4 + 414. Let y = -2287 + 3226. Let f = -3715\/4 + y. Calculate the common denominator of f and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(12\/7)*(l*l**28*l)\/l)\/((l*(l*l**30*l)\/l)\/l**13))**(-6\/19) assuming l is positive.\nAnswer: l**(-492\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1235 - 20*l + 1239 - 2465)*(5 + 1 - 3) + 2*l + l - 5*l.\nAnswer: -62*l + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 37*d**2 + 1441*d - 1558. Let v be z(-40). Let h be 27\/(-2)*(-1)\/6. Factor 3\/2*u - 1\/4*u**v - h.\nAnswer: -(u - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(-4*(sqrt(18)\/sqrt(2) + sqrt(9)) - sqrt(9)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*g + 65*g + 1934 - 19071 = 5327 for g.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(539) + 0 + 4 + 1 + ((sqrt(176) - (sqrt(176) + sqrt(176)*-2)*-5) + (4 + -1 + sqrt(176) - sqrt(176)))**2*-2.\nAnswer: -5644 + 199*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.24, 29, -2\/21, 5 in ascending order.\nAnswer: -0.2, -2\/21, 0.24, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 7. Let w be n(3). Suppose 5*y + 2*h = 23, -6*h - w = 2*y - 8*h. Calculate the lowest common multiple of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 3*u**2 - 4*u + 3. Let t be f(-4). Differentiate i**3 + t - 5 + 2*i**3 wrt i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/90*444\/(-8140)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2. Let p(s) = -40*s**2. Let v = 87 + -83. Suppose -10*c + v - 14 = 0. Let j(x) = c*p(x) - 10*z(x). Let f(q) = 3*q. What is j(f(k))?\nAnswer: 270*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0 - c + 0*c**2 - 1\/70*c**5 + 0*c**3 - 1\/14*c**4. Factor x(o).\nAnswer: -2*o**2*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-2 - sqrt(11) - (sqrt(44)\/sqrt(4) + 0) - (sqrt(132)\/(2*sqrt(12)))**2*-6)*-4*1.\nAnswer: -66 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 4*k - 2. Let a be l(6). Let b be a\/(-10) + 3\/5. Suppose -12 = r + b*r. Sort r, 0.07, -1\/5 in decreasing order.\nAnswer: 0.07, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10400, 10244, 10088, 9932?\n\"Answer: -156*p + 10556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 46. Let w be (-6)\/l + 29\/9. Which is the nearest to 0? (a) -2\/7 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 2*s + 24, 3*q - 4*s = 74. Calculate the greatest common factor of 208 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*h**2*q - 1986*h**2 + 22*h*q - 68*h - 4*q - 10 wrt h?\nAnswer: -226*q - 3972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = -w, m + 0*m = -2*w + 5. Suppose w*i = -3*i + 6. Solve i*h = 2*z - 0*z + 4, -5*h + 4 = -2*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1581116 rounded to the nearest ten thousand?\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (15 + -22 + (25 - 5) - 0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 869566878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*k = 2691 - 24031, 0 = 2*n + 4*k - 10700. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + 6*o + 8. Let w be 3\/(-15) - ((-762)\/10 + -3). Let h(y) = -88 - 11*y + w + 4*y - 7*y**3 + 3*y**3. Determine -6*h(z) - 7*m(z).\nAnswer: -4*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (200 - -3) + -72 + -24\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152.9 + 146. Let a = -7 - d. Let c = 3.5 + -4. Sort a, c, 5.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -32150 (c) 9 (d) -8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-5)\/(((-38)\/28)\/19).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(19) + -1 - sqrt(95)\/sqrt(20)).\nAnswer: sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15576677387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + m + 9 = 21, 0 = -m. Is (-184)\/(-2) + (j - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.5 times -8208.18\nAnswer: 135434.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4037696 divided by -13504.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 + 12 = 0. Solve -2*p - u = 3*u + 6, -2*p + 3*u = -w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*f - 140 = 354*f. Solve 63*k = 58*k - f, 5*k - 15 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 - 22*m + 11. Let g(x) = 15*x**2 - 47*x + 23. Let u(w) = 6*g(w) - 13*i(w). What is u(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/275*(365\/146)\/((7659\/6)\/(-23)).\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 4\/5, -9, -0.07717, 128?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -128.911 to the nearest integer.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*f**2 - 231*f**2 + 36*f**2 - 85*f**2 - 7*f**2 + 20*f**2.\nAnswer: -353*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 351*j + 53. Let h be v(-2). Let b = h - -820. Calculate the highest common divisor of b and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114545153 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: Let a be -4 - -15 - (-1 + 8). Suppose 2*d - 303 - 28 = -r, -3*r + 997 = a*d. What are the prime factors of r?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -3352835.\nAnswer: 8\/3352835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = l - 6, 2*b - 19 = -0*l - 3*l. Let z = 88 - 48. Let f = -23 + z. What is the remainder when f is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*g - 24, -13 = 4*g + 3*o - 0. Let q = 9 + g. Let l = q - 2. Solve -l*z = -6*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 11*z**2 - 19*z - 5. What is r(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 96*h**2 - 943*h - 120. Calculate r(105).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1158955449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 s, and 1 c when four letters picked without replacement from {s: 3, c: 2, i: 1, o: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 4. Let v be y(13). Let x = v + 28. Let j(n) = x*n - n - 4*n - 5 - 5*n. Determine j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -331aa - -754?\nAnswer: -32556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 36*u - 9. Give v(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**4 + 4*c**3 + 10*c**2. Let d(g) = -6*g**4 + 3*g**3 + 10*g**2. Let o(i) = -4*d(i) + 3*u(i). Find the third derivative of o(y) wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6581.082ml to litres.\nAnswer: 6.581082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 4*r + 21.\nAnswer: -(r - 7)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 11}. What is prob of picking 3 h?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*u + 180 = 0, 0 = -2*u - 2 - 2. Calculate the remainder when (-10)\/(-2) + -4 + 14 is divided by n\/(-8) - 8\/32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2453 + 109*g**2 + 3336 - 883.\nAnswer: 109*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2795177 divided by -1171?\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -21.48. Let p = j + 0.08. Let g be ((-9)\/(-15))\/(-5 + (-104)\/(-16)). Which is the third biggest value? (a) p (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - -4)*14\/56. Solve -f*q = 13 + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/13 + 8*i**2\/13 + 2*i\/13 - 12\/13.\nAnswer: 2*(i - 1)*(i + 2)*(i + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1484\/318*((-3424)\/(-14) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 37*f - 4. Let r(b) = -5*b**3 + b**2 - 184*b - 22. What is -2*r(u) + 11*z(u)?\nAnswer: -u**3 - 2*u**2 - 39*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -12, 3*f - 21859 - 5037 = -5*m. Suppose f - 29244 = -28*t. Round t to the nearest 10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -28 - (-9 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 + -13)) + -10 - (3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 526*g + 7376. Determine t(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + (-3 + 4*sqrt(19))**2).\nAnswer: -1252 + 92*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -2*u - o, 2*o - 44 = 2*u - 218. Let a = -87 + u. Solve -5*m = -2*m + a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16598590*-0.1.\nAnswer: 1659859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 5*s + 2. Let r = 172 + -175. Determine i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26730\/315 + -84)\/(22\/28).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7572 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3598 = -359*i, -5*t = 1746*i - 1744*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/11, -33, -0.8?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8960, -18961, -30014, -42125, -55300?\nAnswer: -69545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 17*a = -24. Suppose 4*z - g = -104, 0*g + 97 = -3*z - a*g. What is the remainder when (9\/z)\/(1 - (-1884)\/(-1881)) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*o - 3*o + 9, 5*k + 5 = -2*o. Let g(u) be the second derivative of u**3\/6 - u**2\/2 - u. Calculate the remainder when g(3) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 56270*f + 1583156450.\nAnswer: (f + 56270)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100000000010000110011 (base 2) to base 12\nAnswer: -42752b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l + 3*a = -45, 19 = -2*l - a. Let v = l + -168. What is v rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238882, 238946, 239060, 239230, 239462?\nAnswer: 239762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213327 and 105840.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -2*n**5\/15 - 23*n**4\/6 - 112*n**3\/3 - 132*n**2 - 539. Factor o(s).\nAnswer: -2*s*(s + 6)**2*(s + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2240665 divided by 5.\nAnswer: 448133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5237485 is divided by 149.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Let c be y(-3). Let d(u) = -2*u**3 - 3*u**2 + 291 - 288 + 2*u + 3*u**3 + 6*u**2. Let h be d(c). Solve 4*s + h = 3*x, 6*s - s + 5 = 4*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0 + 5 - 1 + 0*a**2 - a**2 - 3*a. Suppose -142 = -10*w + 58. Suppose 5*x + w = -0*x + s, -5*x + 4*s - 5 = 0. What is p(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 813\/14 + -811\/14. Put -0.1, j, 842 in descending order.\nAnswer: 842, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvuvuvnuu. Give prob of sequence uvnv.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/27 (b) 0.1 (c) -1 (d) 5\/3 (e) 2\/3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 20. Let s be c\/5 - (-536)\/20. Suppose 4*y + 0*y = 5*r - s, 0 = 4*r + y - 9. Solve -6 = -p - r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-4)*(-1 - 4). Let g = 28 - s. Suppose 0*h - h = -2*o + 114, -232 = -4*o + g*h. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17248*t**2 - 4 + 4389*t**2 + 4.\nAnswer: 21637*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 119188332 to the nearest 10000.\nAnswer: 119190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504973 is divided by 168225.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-7) - 15*1\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7 - -4)*1\/(-5) and (-10)\/(-10) + 48\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025678643 rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = 5. Let b be v\/(-3) + 52\/(-6). Let z = 30 + b. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 3*z = -3*j + 9, 0 = -2*z + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from cmcccdcdycwpdcdc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 37536 = 7*i + i. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1116 minus -0.6?\nAnswer: -1115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003440322255 to 7 decimal places.\nAnswer: -0.000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143293 - 143295. Let q = 4.3 - -0.7. What is the third biggest value in q, m, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**4 - 3333*a**2*t**3 - 2*a*t**2 - 2*t**3 + 95*t - 333 wrt a?\nAnswer: 16*a**3 - 6666*a*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 160. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26237 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28185 divided by 423.\nAnswer: 9395\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.9999936. What is t rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135033225 (base 7) to base 6\nAnswer: 513145000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2\/7 - 11271*r\/7 + 3222 = 0?\nAnswer: -3759, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.9746 kilometers to millimeters.\nAnswer: 602974600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17584*h**3 - 4*h**2 - 39448*h**3 + 4*h**2.\nAnswer: -21864*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 9 (c) 0.3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 253\/418 + (-8)\/76 + 19122\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/60 and -71\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.044 - 4638168.7109\nAnswer: -4638168.6669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19744831 divided by -13\nAnswer: 19744831\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 289 - -68?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**5\/60 - 11*n**4\/12 + 97*n**3\/9 - 52*n**2 + 8394*n. Find t, given that h(t) = 0.\nAnswer: 3, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 2\/5 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419186*o**2 + 139695*o**2 + 139743*o**2 + 139757*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.4527 times -17?\nAnswer: -4529.6959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjoljjljjlodojd. Give prob of picking 1 d and 1 r.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96128146?\nAnswer: 2, 37, 1299029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 3, 717, 2, 0.1, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-11.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**4\/14 - 60*w**3\/7 - 183*w**2\/7 - 184*w\/7 + 792. Find t such that y(t) = 0.\nAnswer: -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 29*c + 41. Let g be b(17). Let k = g + -235. What is the greatest common divisor of k and 150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/6091 - 6096\/30455. What is the third smallest value in 0.24, -5, -4, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + -17874284?\nAnswer: -17874283.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/72*12\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 w when four letters picked without replacement from wwnnwwwnnwwn.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/3 + 1680*o**2 + 75082*o\/3 - 56780 = 0. Calculate o.\nAnswer: -2505, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4173168 and 108960?\nAnswer: 41731680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 530*d + 10691. Let x be p(-21). Factor 0*m + 2\/7*m**4 - 1\/7*m**3 + 0 + 0*m**x - 1\/7*m**5.\nAnswer: -m**3*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 261*j + 1. Let n(r) = 259*r + 1. What is 3*g(f) - 4*n(f)?\nAnswer: -253*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 46786.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040392 divided by 22136?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(0*i + 2*i - 4*i) - 2*i - 1 + 1 - 2*i + 2 - 2 + (1 + 0 - 2)*(2*i - 1 + 1))*(-1 + 3*i + 1) - i**2 + 4*i**2 - 2*i**2.\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002161371 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -294 - -294.132. Let q = j - -0.168. Which is the closest to 24? (a) q (b) -1\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1876)\/6 - 4\/(-6). Let x be s\/(-15) - 2\/(-10). Let a = x - 3. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 380 - 329.5. Let n = v - 55.5. Which is the closest to -0.1? (a) n (b) -2\/5 (c) 6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {f: 3, y: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76605*h - 76600*h - 72 = -7 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 318 = 23*i. Let t = -51 - i. What is the remainder when (13 - (3 - t)) + -4 + 7 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p + 1188. What are the prime factors of k(0)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16662930 by 5.\nAnswer: -3332586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -2, 2\/13, 5278.24?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*n + 10, -82*n - 16 = 2*i - 86*n. Let d(w) = -w + 1 + 2*w**3 - 2*w**3 + 6*w**2 - w**3. What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100404334 (base 5) to base 11.\nAnswer: -256358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 5*j + 2. Let b be x(5). Let f be -1*b*3\/(-3). Suppose -2*p + 9 = p - 3*l, -l = 2*p - 6. Solve -f*q = p + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 150\/(-36) + ((-3)\/(-9) - 0)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tettuthenhtuee. Give prob of picking 2 u and 2 e.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675653 and 1028.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -443+287243\nAnswer: 286800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312504940 to the power of 1\/2, to the nearest integer?\nAnswer: 48089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4975410 to the nearest integer?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 5)*(-221)\/(-1). Let h = s - 2429\/11. Let y = 2.2 - 2. Which is the third smallest value? (a) h (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (133\/(-21) - -6)\/((-33)\/810). Is z at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*35\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:21 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12842990 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4369 and 132.1.\nAnswer: -4236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003010112302 + -20?\nAnswer: 3003010112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 = 1417. Let l = a + 457. What is the highest common factor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 2\/9*u + 392\/27*u**3 - 28\/9*u**2 - 89. Factor j(m).\nAnswer: 2*(14*m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 1\/112*s**8 + 1\/15*s**5 + 0*s**7 + 0*s**4 + 0*s**6 + 0*s + 0*s**3 + 0 - 3*s**2. What is the third derivative of i(j) wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 12*b + 6. Give v(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - b + 105200000. Let q be l(0). Suppose 0 = -40*j + 36*j + q. What is j rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16835)\/(-15288) + 2*(-3)\/(-144).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b**3 - 1942*b**2 + 0*b**3 + 1938*b**2 to the form r + p*b**3 + a*b**2 + h*b and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*u + 44 - 393*u - 464.\nAnswer: -342*u - 420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(3 - (-26)\/(-8)). Suppose -4*i + 29 = -m, -5*m + a = 1. Solve -3*y + 2*x = -7*y + i, 3*y - 4*x = 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760052937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - d**2 - d - 3. Let o = -1 - -1. Let g be n(o). Let r(f) = f**2 + 3*f. Let b be r(g). Solve 2*j = -b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*l + 312*l + 63813 = 1514*l for l.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180) - -6*(sqrt(180) + 0 + sqrt(180)) - sqrt(180)) + sqrt(180))**2 - sqrt(55)\/(sqrt(44) + sqrt(132)\/sqrt(3)).\nAnswer: -sqrt(5)\/4 + 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = x. Suppose -x = -h + 2. Let d = 7 + -7.3. Which is the second biggest value? (a) d (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n + 47*n**2 - 4 + 12*n + 2 - 19*n**2 as c*n + j*n**2 + p and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9 minus 1.123?\nAnswer: 11.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8285*l - 7992*l + 27 + 3 + 9 to the form w*l + f and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 + -5 + -5 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 13. Let a = 7.2 + f. Put 0, a, -2\/11 in descending order.\nAnswer: a, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*-0.1.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2131, -2129, -2127, -2125, -2123?\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, k: 4, l: 1}. What is prob of sequence okk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73779.81 centuries to decades.\nAnswer: 737798.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3405476 and 536.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/44 and -17\/3545256.\nAnswer: 3545256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15078206 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*c - 4, 3*a + 3*c - 215 = -203 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -3\/8, 50, -0.05?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 + -172 + -2)*((-4)\/6)\/1. Solve 78*d + 56 = z*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2544374413 divided by 6\nAnswer: -2544374413\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-2)\/sqrt(4) - sqrt(1944)*-1)\/((sqrt(800) - (sqrt(800) + sqrt(800)*2))*-4).\nAnswer: 7*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1255, -2513, -3773, -5035, -6299, -7565, -8833?\n\"Answer: -p**2 - 1255*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1033018 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/3 - (-2)\/3. Let f be -1 + 0 - 8\/l. Let j(r) = 10*r**2 - 14*r - 14. Let w(u) = -2*u**2 + 3*u + 3. Give f*j(n) + 14*w(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:31 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 = -3. Solve t = 2*m + 4*f - 1, 5*f - 10 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1635 = 267. Let k = -221 + s. Suppose -95 = -2*w + 2*z + k, 0 = 2*w - z - 326. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -370, -1 in decreasing order.\nAnswer: 4, 3, -1, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.351 + 0.012. Let n = 161.363 - f. Let u = -161.00000083 + n. Round u to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 32. Let k be f(12). Suppose 7*l = 3*l + k. Solve -l*v + 13 - 3 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17\/5)\/(5\/75). Round d to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 100 = 95 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = -m - 0*m, -4 = -2*l. Which is smaller: -17 or m?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y. Let i(b) = -191*b**2 - 2*b - 24. Calculate m(i(x)).\nAnswer: -4011*x**2 - 42*x - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -919.641 + 918. Let i = o + 0.641. Which is the third smallest value? (a) 0.1 (b) i (c) 11\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -87*d. Let b(r) = -44*r. Determine -11*b(k) + 6*s(k).\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011214402122 - 10?\nAnswer: 1011214402112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3241 or 1?\nAnswer: -1\/3241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 53810*c + 8.\nAnswer: -53810*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 + 370 = 2*b. What is the least common multiple of b and 733?\nAnswer: 5131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9141.735 weeks in minutes?\nAnswer: 92148688.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 313938792 and 209292528?\nAnswer: 627877584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/154 - (-35)\/10 - (5 + 4846\/(-1078))\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10894)\/91 + (-2)\/7. What is the hundreds digit of 489\/4*(-160)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**5\/2 + 13*q**4\/6 + q**3\/6 + 2095*q**2\/2 + 86*q - 21. Differentiate m(o) wrt o.\nAnswer: -30*o**2 + 52*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714 divided by 5211.\nAnswer: 238\/1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -702037\/18 = -39001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0448 rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78220 is divided by 1005.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15507 and 56223.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.8 - -25. What is the third biggest value in -4, -1\/2, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 33\/68494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -105*g**2. Let w(r) = 1159169*r**2. What is i(w(p))?\nAnswer: -141085640908905*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2690724 by 224227.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + 40\/24. Let t = -29\/10 - -223\/70. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1382239762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 9*u - 10. What is the remainder when 4 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 16*s**2 - 15*s - 68. What is v(17)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x, -4*d + 160 = -0*d + 5*x. Solve -10*c = -2*c + d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277398 divided by -15411.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**8)*i**(-1\/6)*(i**7\/i)\/(i**(-5\/2)*i) assuming i is positive.\nAnswer: i**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3456*d - 427 + 427.\nAnswer: -3456*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - -8) + (-215 - (-12 + -206))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (71 + -12 + -24 - 67).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 3*z**2 + 155*z - 248. Let b be q(10). Solve 4*i = -5*n - 32, b*n - 4*i = -39 + 43 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -14, 2\/3 in increasing order.\nAnswer: -14, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18677845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*q = 11, -5*g = 19*q - 23*q - 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15.9 times -0.3\nAnswer: -4.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51880748 is divided by 7411535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3691259.\nAnswer: 11, 13, 83, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1639 and 15456034.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.0047 - -48. Round p to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*g - 2864 = 2609 - 2185 + 2598 for g.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 11342. Let g(i) = i**2. Determine g(y(n)).\nAnswer: 9*n**2 + 68052*n + 128640964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -29*c - 1. Let r(k) be the third derivative of 7*k**5\/15 + k**4\/24 - 3554*k**2. Give r(z(l)).\nAnswer: 23548*l**2 + 1595*l + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1827)\/(-2) + 21\/(-14). Suppose -5*y - 68 + r = n, -512 = -3*y - 2*n. What is the highest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118140, 236668, 355196?\nAnswer: 473724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15114.6 nanoseconds to microseconds.\nAnswer: 15.1146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:08 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, n: 3, b: 2, r: 3, y: 2}. Give prob of picking 1 r, 1 p, and 1 n.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 4. Suppose 8*c = 4*c + 120. Let k = c + -27. Determine x(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b - 1. Let l(s) = s**3 + 3*s**2 - 76*s - 3. Determine -l(d) + 3*y(d).\nAnswer: -d**3 + 73*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvsvvsvvvvvv. Give prob of sequence vv.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*33*6\/66.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 11*b**2 - 4*b + 56. What is m(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -0.08, 4\/9, 6, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2)\/3 - 4. Let y be (-19)\/p + (-1)\/(-4). Suppose -y*o - 5 = a, -4*a + 2*o = -0*o - 24. Solve a*f = -3*l - 27, 5*f - 5*l - 8 + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29021 greater than or equal to 29021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573004 + 572966 + 28*x - 1145969.\nAnswer: 28*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 3*a**2 + 9*a - 6. Let v(f) = 5*f**3 + 10*f**2 - 26*f + 17. Let y(x) = -8*b(x) - 3*v(x). What is the units digit of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 18.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*t - 100*t = 7449. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:14 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/18408 and 71\/7700.\nAnswer: 35435400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 17*r**2 - 11*r + 9. Let m be l(-16). Let h = 79 + m. What is the lowest common multiple of h and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082 is divided by 356?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51260664 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -28080 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.323547 rounded to 3 dps?\nAnswer: 0.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175528 and 9176.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163405 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {p: 7, e: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2240 - 2236. Let k = 143 + -57. Calculate the smallest common multiple of o and k.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48111797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-18))\/((-44)\/(-6)). Let j(c) = 4*c**2 - 89*c + 17. Let p be j(22). Put -2, p, d in decreasing order.\nAnswer: d, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320936037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 297987 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1214305 divided by -2.\nAnswer: -1214305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -491, -0.42, 2, -10.4?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 divided by -14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**8\/2240 - 3*k**7\/280 + k**6\/10 - 2*k**5\/5 + 7*k**4\/12 - 34*k. Let j(t) be the third derivative of p(t). Factor j(f).\nAnswer: 3*(f - 4)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let u(a) = -8*a + 11 + 0*a - 11. Determine j(u(k)).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179.144 + -0.144. Let q = f + -179.146. Round q to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321423133 take away -3?\nAnswer: 321423136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 81 = 3*c, -g - 4*c + 4 = -14. Let f be -2 - -5 - (-5 + -2 - g). What is the greatest common divisor of 36 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/(-99) + (-9615)\/(-1980) and -37\/2654.\nAnswer: 15924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/15))\/((h\/(h\/(h*(h*h**4)\/h)))\/h*h)*h**(-2\/17)*(h*h**0*h)\/h assuming h is positive.\nAnswer: h**(-829\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17719 times 42?\nAnswer: -744198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 97 = -9*q, 5*q - 85 = 3*i + i - 0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -194*s + 2618081 = 2619827 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0625 + -0.05791. What is t rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*h + 11*h - 94*h)*(6 - 3 - 2)*(2 - 2 + 2).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/7, 1\/134, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936579 is divided by 160?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/52*-1*(-6)\/(-165)*22\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - -0.03. Let f = -0.1 + 0.05. Let z = s - f. Round z to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/151 > -53053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70327770 rounded to the nearest 10000?\nAnswer: 70330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*c**2 + 6*c**2 + 4*c**2 + (-c - c + 3*c)*(-4 - 2*c + 4) - c**2 + 2*c - 2*c + (11*c**2 - 3*c**2 + 3*c**2)*(2 - 3 - 1).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10489 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151779?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 9*t - 6. Let c be i(3). Suppose -c*n = -j + 22, 3*j - 3*n - 86 = n. Solve -5*v - j = 3*f, f + v = -v - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z + 3. Suppose 145 = -r + z*r + 5*h, -r = 3*h - 27. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26898*k**3*l**4 + 86*k**3*l**2 + 87206*k**2*l**2 + 318*k*l**5 wrt l.\nAnswer: -645552*k**3*l + 19080*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -17. Suppose 11*s + 456*v = 454*v - 5, 25 = 2*s - v. Sort 2, c, s in decreasing order.\nAnswer: s, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.831 and -2.6.\nAnswer: -2.1606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - 84\/36)\/(4\/3354) is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 11*o**2 - 841*o - 8511. Calculate s(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -21660546610?\nAnswer: 21660546614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 6*g - 2. Let o(s) = -s**3 - 2*s**2 + 2*s - 4. Let k(d) = d**2 - 5*d + 3. Let w be k(3). Let z be o(w). Let r = z + -3. What is a(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in -2\/7, -10, -23, -26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h**3 - 5*h**2 - 9*h + 28. Is z(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4933.25 millennia?\nAnswer: 4933250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 145.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*y - 4 = -66 - 174 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c. Let h(s) = 13*s + 1. Let q(y) = -2*h(y) + 3*i(y). Calculate q(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 288014.269 rounded to the nearest ten?\nAnswer: 288010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**2 - 834*c - 901. Give b(120).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3933\/3172 - 265\/244. Let h = 13 - 11.9. Let l = -5.1 + h. Put o, 0.5, -2, l in descending order.\nAnswer: 0.5, o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 17 = 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2118, -3697, -5276, -6855?\nAnswer: -8434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 78, -18, -3.\nAnswer: -18, -9, -3, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -777 - -535. Let r = k + 241.7. Which is the second biggest value? (a) 2 (b) -0.06 (c) r (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-4))\/(-3)*12. What is the tens digit of 351\/a - 12\/(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a - 22. What is x(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63445 + -44?\nAnswer: -63489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c60c (base 14) in base 4?\nAnswer: 20111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*r - 4 = 0. Suppose -v - 4*k = 19, 5*v + 4*k + 20 = -k. Let h = r - v. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2 and -5\/19328.\nAnswer: 19328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:53 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.3. Let n be 1 + -1 - 2\/(-5). Let m = 0.554 - 0.654. Which is the closest to n? (a) m (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -155, -201, -299, -467, -723, -1085, -1571?\n\"Answer: -3*c**3 - 8*c**2 - c - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/15 - n**5\/60 - 12*n**2. Let y(r) = 5*r - 19. Calculate the smallest common multiple of w(1) and y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-65) - (-68)\/(-5))\/(55 - (-3948)\/(-72)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 17*a**2 + 16*a + 27. Give p(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -1.3. Sort 1\/2, 5, h in increasing order.\nAnswer: h, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 12045?\nAnswer: 12043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 7:42 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 73. Let b = -349 + 371.21. Let p = o + b. Round p to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-282601 + 7*q + 282585 + 3*q)*(q**2 + 0*q + 0*q) in the form h + z*q**2 + i*q + a*q**3 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 25\/598?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756 and 1485?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {z: 11, m: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - w + 2. Let x(b) = 3*b**2 + 2*b - 2. Let c(s) = -4*a(s) - 3*x(s). Let t be c(-3). Let d be -25*2\/t*1. Solve 2*r = d, z = -3*r + 9 + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 11*h + 5. Let j be n(-11). Suppose -3*d = f + 33 + 38, j*d - 15 = 0. Let v = 1131 - f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 4921?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -483, -47, -3, -196 in ascending order.\nAnswer: -483, -196, -47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 0 - (13 + -250). Suppose 4*r - m = r. Does 41 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3194 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 4*g**2 - 11*g - 5. Let c(a) = 2*a + 15. Let d be c(-10). Is u(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 4*l - 3 = -a, -18 = 2*a - 2*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 918 = 4*w - 2*w, -w = 5*c - 480. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1732878l?\nAnswer: 173.2878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9*j + 1. Suppose 49*r = 52*r - 5*w - 6, -4*r = w - 8. Determine h(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8958577962 + 43950783327037\/4906. Let x = 2\/2453 - p. Find the common denominator of x and (-36)\/27 + (-68)\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6*f - 4*f - 4*f)*(1 - 1 + 2)*(2*f - 1 + 1)*(-4 - 5 + 6).\nAnswer: 24*f**2 - 84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -10*i**2 - 31*i + 9. Let s be b(-9). Let z = s + -45. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156001*b - 19 + 8 + 9 + 31959*b.\nAnswer: -124042*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 4. Let f(l) = -l + 1. Suppose 8 = -4*m, 2*m - 2 + 8 = r. Suppose -d - 11 = -r*d - 2*v, 0 = -d + 5*v - 24. Give d*k(n) - 3*f(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 134, 132, 130, 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 2*j - j)*(j**4 - j**4 - 2*j**4).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 + c. Let z(h) = 4*h**3 - 3*h**2 + 8*h + 3. Let a be 71 - 73 - (-5 - 3). What is a*v(x) - z(x)?\nAnswer: 2*x**3 - 3*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 15*i - 176. Calculate r(16).\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 89 - 90 - 5*u**3 + 10*u**3. Suppose 0*x - 4*x + 4 = 0. Give i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/20 - (-2)\/(-1). Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/7 (b) 0.07 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:14 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + 80*o**4 + 465*o**3 + 1150*o**2 + 1000*o.\nAnswer: 5*o*(o + 2)*(o + 4)*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 21*m + 2. Let q be a(-9). Suppose 2*i + 5*i = q. Let n(s) = 7*s - 51. Let o be n(i). Solve 2*g = o*g - j + 10, -8 = -2*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 807606 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: What is 0.2759024mg in kilograms?\nAnswer: 0.0000002759024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 39 - 25*u + 42 to v*u + l and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60, 58, 54, 48, 40, 30?\n\"Answer: -d**2 + d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*o + 60 = 169, 3*w = -4*o + 80. Let u be (36\/42)\/(2\/w + 0). What is the greatest common factor of u and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -61 (b) 4.9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -35 - 91. Solve -1 = -q, -4*j + 4*q + 2 = t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (620\/372)\/(10\/(-72))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 34*i**2 - 72*i + 14. Let p be (5 - (-11 + 18))*(-1 - 17). Determine y(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 305667\/62930 + -1\/8990. Solve -j - 1\/7*b**2 - 19\/7*b = 0 for b.\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 4*i**2 + 5*i - 1. Let l(b) = b**3 + b - 1. Let w(o) = -3*l(o) + m(o). What is w(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429349 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 3\/((-6)\/(-10)). Let y = 1 - i. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231511096*k**3 + 128336880?\nAnswer: -694533288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14021 - -12441340?\nAnswer: 12422314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k - 10*k - 15*k - 10*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -12434 less than -12434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.19 + -6.19. Which is the third smallest value? (a) -1 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + -2)\/((-6)\/4). Suppose m = 2*c - m, m = 3*c - p. Suppose 2*z + 5 = 4*o + 1, 0 = -4*o - 3*z + 14. Solve s - c = o*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3 - g**2 - 1 + 0 + 13*g - 14*g - g**2. Suppose -3*l - m - 2*m + 24 = 0, -2*l + m + 1 = 0. Give f(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 - (2 - (49 + -5)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 + -4219\/18. Calculate the common denominator of l and 49\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28287014120 and 1937.\nAnswer: 28287016057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c339 (base 15) to base 4.\nAnswer: -233021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -335723513*g. Let v(x) = 2*x**2. What is v(j(k))?\nAnswer: 225420554362122338*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6397\/7 - 908. Calculate the common denominator of x and 33\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29\/2*s**3 + 0 - 14*s**2 + 0*s - 1\/2*s**4.\nAnswer: -s**2*(s + 1)*(s + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.141504 micrograms?\nAnswer: 0.000005141504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.3. Which is the third biggest value? (a) -3\/5 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xennwiw. What is prob of sequence ewi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*u - 60, -3*u - 4*m = 2*u - 42. Solve -u = -2*r - 0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00711424051 to five dps.\nAnswer: 0.00711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014881 to 6 dps.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 + -0.18. Let r = 2.3 + -2. Which is the biggest value? (a) 0.4 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 smaller than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from knnk?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/12)\/((27\/180)\/(11781\/(-1904))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from fqqgrrgqrqgq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/975 + 9\/(-117).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-723 + -51)\/43 - 1*-75) + 6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -1. Let u = -134 + 196. Let j = u + -60. Sort j, -1, d.\nAnswer: -1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 256426944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) -1 (d) 53472\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1 (b) -4 (c) 0.1 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268 - 171. List the prime factors of f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = c + l + 23, 5*l = 4*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -2*n**5\/15 + 8*n**3 - 37*n**2. Differentiate p(i) with respect to i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 5 + 3*g)*(2 - 3 - 1) - 48*g + 20*g + 38*g)*(1 - 2*g**3 - 618*g - 3 + 625*g + g**2) to the form j*g**4 + o*g**2 + i + f*g + h*g**3 and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15103283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/639252 and 11\/266355?\nAnswer: 3196260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.019 or -1\/47?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29762 * 89.\nAnswer: -2648818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:36 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*t + 118*t = -9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 322*p = -318*p - 17, -4*s - 11 = 3*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 30. Let v be (3*-2)\/3 + h. Let z(f) = -3*f + 28. Let i be z(9). Solve -v = j + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8719, 9200, 10537, 13162, 17507, 24004?\n\"Answer: 72*v**3 - 4*v**2 - 11*v + 8662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 + 127*i**2 - 44*i + 73. Determine u(42).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 5 (b) -5\/2 (c) 0.01 (d) -3 (e) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 127222?\nAnswer: 127222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -8) + -4 + (5 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/4 + (-999 - -1011 - (-23)\/(-1))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 280 = 3*k, -367 = k - 5*k + l. Suppose -176 = -5*v + 3*q, 0 = -0*v + 3*v + 5*q - k. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 304*f**2 - 2128*f + 4. Determine x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2. Let u(y) = -2*y. Let i(m) = 5*m**2 + 10*m. Let c(q) = -3*q**2 - 5*q. Let x(r) = 7*c(r) + 4*i(r). Let j(l) = -5*u(l) - 2*x(l). Give a(j(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983 smaller than 1983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 35?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 640, 1\/72, 2\/21, -290, -0.1 in descending order.\nAnswer: 640, 2\/21, 1\/72, -0.1, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2 - 22 + 8 + 10 + 0*a**2 - 140*a + 102*a. What is o(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(150))\/sqrt(5))\/(4*sqrt(40)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 3*w - 30. Let n be c(8). Suppose n*b - 18*b - 32600 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*w + 1470 = 123*w + 25230 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b + b + 0*b to the form w + l*b and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (2 - (-7 - 2) - (7 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/752 and -59\/238860.\nAnswer: 44905680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*w + 7*w + 2*s, w + 4*s = -15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149374 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 38570671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 9. Let g be b(-7). Let i be 12\/(g\/(-3)) + 0. Solve 3*k + 3 = a - 0, i*k - 5*a = -15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415774 divided by 2?\nAnswer: 207887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (64\/4)\/(-2)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 26. Suppose 2*w = 8 + t. Calculate the remainder when 26 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1109 divide 194417681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, f: 2, g: 1, a: 4, e: 1}. What is prob of sequence eyga?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 9*p**2 + 11*p - 7. Give i(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 1548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1896*z**2. Let d(u) be the first derivative of -2*u**2 + 4546. Determine p(d(r)).\nAnswer: 30336*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n + 5*n + 174 = -3*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1, -3, -1\/3 in decreasing order.\nAnswer: 1, -1\/3, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -2*s + 14, -3*l - 505 = 3*s - 502 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 - 1. Let i(l) = 2*l. What is v(i(t))?\nAnswer: 24*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*r**3 + 3*r + 65*r**3 - 137*r**3 + r - 4*r.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 132*x**2 - 592*x.\nAnswer: 4*x*(x - 4)*(x + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(94380\/(-240))\/(-143).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.4, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 303269526 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**5\/5 + 988*v**4\/5 + 91136*v**3\/5 + 3705248*v**2\/5 + 10963392*v - 58614336\/5 = 0.\nAnswer: -66, -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63825?\nAnswer: 3, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:15 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16490 is divided by 8241.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/6 + m**2 - 3*m. What is the units digit of f(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.6 + 17. Sort -0.4, s, -5, 4 in ascending order.\nAnswer: -5, -0.4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 3*g**2 + 2*g + 2*g - g - 9. Let b be s(-6). What is the greatest common factor of b and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 48. Calculate the highest common divisor of t and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 19147*r\/2 + 5745\/2.\nAnswer: -(r - 1915)*(10*r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 10. Let w = -185 + 212. Suppose -w*v + 174 = 2*v. Is v greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2710128769 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(192))**2 + 1.\nAnswer: 32*sqrt(3) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4344 = -45*y + 46*y. Suppose -216 + y = 8*i. What are the prime factors of i?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/151 greater than or equal to -1756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = 0, 0 = 5*k - 0*h + h - 100999995. What is k rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5 + 139785*w**4 + 139791*w**3 - 139785*w**2 - 139788*w = 0.\nAnswer: -1, 0, 1, 46596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-21)*(-44)\/((-25168)\/(-364)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -360\/19, 4\/5, 4, 15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/15)\/((-27)\/(90882\/44)))\/(-1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 0.2, 430, 39.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 - 678*o - 220052 = 0 for o.\nAnswer: -203, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 4, -2\/3, -2 in decreasing order.\nAnswer: 4, 0.31, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 divided by -29207.\nAnswer: -231\/29207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*t + 10 = 0, 19 + 13 = 3*w - 4*t. Suppose 28 = w*z - 12. What is the second derivative of -6*g**5 - 4*g**5 - 5*g**5 + 7*g**z - 41*g wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 53. Find the common denominator of 10\/u*-73*(1 + 0) and -63\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252000 divided by -36?\nAnswer: -7000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7758?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1309 divide 21616082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -5, -0.5838?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0313 + 0.0114. Let m = v + -0.9801. What is the nearest to 1 in 15, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/(-3))\/(2\/(-6)). Let w = b + -32. Solve -4 = -g - w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/488*(-16)\/(-24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 4*d - 8, -2*b = -3*d + 13. Suppose -4*p + 3*t + 68355 = 2*t, 0 = 4*p + d*t - 68359. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s. Let a(b) be the second derivative of -b**3\/3 + 6*b. Determine a(g(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1168*h - 2584 wrt h.\nAnswer: 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60416 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 890880.093 to the nearest 10.\nAnswer: 890880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 25*b - 462. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3213 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -39*t - 325 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -2719 + 869. Let a = z - 120. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3106752m in millimeters?\nAnswer: 310.6752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 + (-417)\/144)*(-31)\/930 and -11\/216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 79*l**9\/504 - 147*l**5\/20 + 36*l**2 - 1. What is the third derivative of n(t) wrt t?\nAnswer: 9480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7))**(2\/37)\/((k*k**(-1\/2))\/k**(-21)) assuming k is positive.\nAnswer: k**(-11149\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -12)\/(2\/10). Solve 4*n - h = 8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -14425*k. Let t(x) = 3*x**2 - 123. Determine t(n(h)).\nAnswer: 624241875*h**2 - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -104. Let v = -25 + w. Suppose 0 = -l, 0*c - v = -c + l. Calculate the smallest common multiple of 26 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*m - 8*m - 11*m - 42*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405) + sqrt(45)*-1 + (3 + (sqrt(5) - sqrt(125)) - (sqrt(5) - (sqrt(180) - (sqrt(180) + -3)))))**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 545 by -5324.\nAnswer: -545\/5324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -212\/3*q**3 + 0*q**2 - 105 + 0*q - 141\/4*q**4. Find the third derivative of d(b) wrt b.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-42)*-6 + (-13816)\/(-28) is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 5295003 + 8654997. Round q to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.1. Suppose 106 = 31*u - 49. Which is the closest to -0.1? (a) -4 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1041.361582 to the nearest 10.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58011959?\nAnswer: 19, 47, 167, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 7. Suppose -o + 19 = -3*h - 0*h, 0 = 3*o - 12. Calculate a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*j - 29. Let a(i) = i**3 + 84*i**2 + 166*i + 165. Calculate the smallest common multiple of a(-82) and (4\/j)\/((-1)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585810313 to the power of 1\/2, to the nearest integer?\nAnswer: 39822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7683343727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 7*p + 10. Suppose -59*o + w = -63*o + 18, -5*o - 5*w - 15 = 0. What is the smallest common multiple of o and y(7)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(-1 - 3*v + 5*v - v - 15*v**2)*(234*v**2 - 74*v**2 - 87*v**2).\nAnswer: 1095*v**5 - 73*v**4 + 73*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-39)\/91).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + r - 7 - 1 = 0, -4 = -g - r. Calculate the highest common divisor of 34 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3506 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: Find f such that 13\/6*f**4 + 2*f**5 + 40\/3*f - 8*f**2 - 34\/3*f**3 - 8\/3 = 0.\nAnswer: -2, 1\/4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t + 1. Let o be 50\/14 + (-3)\/(-7). Let w(j) = -5*j**2 - 15*j - 10. Let q(u) = o*y(u) + w(u). Let n be q(-10). Solve n*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -13, 0.2961, 0.4?\nAnswer: 0.2961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 + 281*j - 14670 = 0. What is j?\nAnswer: -326, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d - 8*d - 6*d + 0 + 0.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -5?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-380900)\/(-25) + -8 + 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 40292.\nAnswer: 40292.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b - 729 = 46*b - 2*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*159 + -1 + 5. Let a = -103 - b. Does 31 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*x = -32*x + 2175. What is the remainder when 245 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(((-5)\/(-10))\/(2\/(-4))). Suppose 4*m + 4*h - 10076 = 0, 2*h = h - o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*u - 5*u + 132, 4*r = -2*u - 312. Let x = r + 80. Solve -2*o = -2*y - x, 0 = -o - 3*o + 2*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**2 - 15*r + 7. Let d(a) = 4*a**2 - 7*a + 3. Let g(f) = 9*d(f) - 4*v(f). Is g(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 2511.\nAnswer: -281232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*j - 4*i, -5*i + 4*i + 212 = 378*j - 2992 - 198 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*n - 60 = 92, 0 = 5*y + 5*n - 155. Calculate the lowest common multiple of y and 145.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 7)*(11*m**2 - 12*m**2 + 14*m**2).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1349 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l. Let q(u) = 5*u. Let n be 2\/((-5)\/(-3) - 2). Let p(y) = n*t(y) + 5*q(y). Let v(o) = 1 - 3 + 2 - 2*o. What is v(p(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3956, 7899, 11842, 15785, 19728, 23671?\n\"Answer: 3943*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/70 - 7*t**6\/40 - 9*t**5\/10 - 5*t**4\/2 - 4*t**3 - 57*t**2. Solve n(i) = 0 for i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -20. Suppose 3*v + v - 8 = -f, -w = f. Suppose -2*i + 40012 = -4*p, 4*i - 80006 = -v*p + 5*p. Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6019511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1. Let b(x) = 14*x**2 - x + 3990 - 16*x**2 - 3994. Determine b(j) + 4*o(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -22, -2 in decreasing order.\nAnswer: 8, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1051663194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.51? (a) 3 (b) -5 (c) 0 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 6, -0.5, -9663, 3, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 + 17 - 75*p**2 - 4*p + 39*p**2 + 27*p**2. Is o(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32231242 (base 5) to base 9\nAnswer: -456705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 68 and -7\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5313711034.\nAnswer: 2, 2381, 1115857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, 5, -5, 226, 0.4 in ascending order.\nAnswer: -5, -0.3, 0.4, 2, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7899.\nAnswer: 3, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((8784\/4128)\/(-61)*(-4)\/(-30)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:22 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.24 from -589.\nAnswer: -587.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 15*m**2 + 16*m + 22. Let t be j(16). Let b = t + -15. Find the first derivative of -b*r - 3 + r - 1 - 3*r wrt r.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8 + k**2 + 12 - 16 + 5*k. Let a be r(-5). Let z(i) = -5*i**2 - 2*i - 4. Let g(y) = 6*y**2 + 2*y + 5. Let n = -1 - -6. Determine a*g(j) + n*z(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 7*f - 2*f - 15 = 0, -2*f = 5*p - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 + 20\/36. Which is the nearest to 2? (a) -1\/2 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8640966 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: Let p = 262 + -270. Let u = -3 - p. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1244754 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 194, 187, 190, 209, 250, 319, 422?\n\"Answer: b**3 - b**2 - 11*b + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 + -394. Let h = w - -208. Suppose -10*k + 9*k = -h. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 13*w**2 + w + 5. Let k be z(-13). Let s be k\/(0 - 2) - (2 + -2). What is the tens digit of 10\/s*(1 + (-183)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12512, 11708, 10930, 10184, 9476, 8812, 8198?\n\"Answer: o**3 + 7*o**2 - 832*o + 13336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1 (b) 0.2 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 148\/28. Let g = 9 + p. Solve -5*a = -g*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*((-2)\/(-12))\/(540\/(-1296))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let i = 7 - z. Suppose -2 = i*b - 77. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, n: 2}. Give prob of picking 4 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 247*b = 250*b + 45, -43 = -5*i - 3*b for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/81, 99, 0.4?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -74431780627.769 - 2\nAnswer: -74431780629.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7616 and 88944?\nAnswer: 2490432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058*n = -1053*n + 10. Suppose -2*v + 4 = 3*b, -5*b = v + 3*v - 8. Is (n - b - -74) + -2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + 181. Suppose 5*h - 117 = v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/8 and -61\/35222?\nAnswer: 140888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 - v**3 + 3*v**3 + 1 + (1 - v**2 - 1)*(4*v - 2*v + v).\nAnswer: -v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 6. Let j be q(4). Let x be -2*30\/(2 - 8) + -4. Suppose 0 = 5*y + 3*b - 7*b - 3, -x = 2*y - 4*b. Solve -j*p = y + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2725934 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + -4 + (-15 - (-9 - -21 - 29))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11726 at least as big as -11723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 - 3.09. Let n = 0 + p. What is the biggest value in -4, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 887 divided by -44426.\nAnswer: -887\/44426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/24465 - -7489\/3495. Find the common denominator of h and -109\/1204.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 8 = 4*h. Suppose -h*l + l + 2 = 0. Suppose 0 = -x - x + l*q + 34, q + 74 = 4*x. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.211069 - -573307.211069. Let c = p - 573306.0899999. Let m = -0.09 - c. Round m to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + -8*80\/128. Let a(v) = -v**3 - 6*v**2 - 2*v - 9. Let f be a(-6). Calculate the highest common factor of c and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 214305498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -3\/13 (c) -2\/5 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 15*b + 9. Let f be r(4). Suppose 0 = -6*y + 2*y. Suppose -f*s + 11*s - 750 = y. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*f = -152, -8*f + 13*f = -4*y + 218. Suppose 0 = -y*m + 54*m - 250. Let j = m + -51. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 45*-8*(-21)\/(-378).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*o**2 - 139*o**2 - 244*o**2)*(o**3 + 0*o**3 + o**3).\nAnswer: -870*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1083 - 2417\nAnswer: -2417.1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 0*x + 8*x - 2*x**2)*(4 + 2*x - 4).\nAnswer: -4*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -2313*i**4\/4 - 32*i**3\/3 + 87*i**2\/2 - 7086. What is the third derivative of m(u) wrt u?\nAnswer: -13878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 859\/2 + -429. Let o(w) = 2*w**2 + 51*w - 86. Let u be o(-27). Which is the nearest to 6\/11? (a) u (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.7 - -0.3. Let y = 0.78 + 0.22. Let n = 0.1346 + -0.1346. Which is the third biggest value? (a) y (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -470880.6.\nAnswer: -470880.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, z: 2, u: 4, d: 1, b: 4, x: 4}. What is prob of picking 1 b and 3 u?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**4\/4 - d**3\/3 + 3*d**2 + 7*d + 29. Let g be t(-3). Sort 3, -1, g in decreasing order.\nAnswer: g, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10128\/72*(-6)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 8 + 4*s + 8 as o*s + u and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**7\/840 - n**6\/120 + n**3\/3 + 1. Let u(d) be the third derivative of t(d). What is the third derivative of u(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -4*a + 2*z, 30 = 3*a + 5*z - 100. Suppose 127*b - a = 123*b. Solve 5*l - 2*o - 2*o + 24 = 0, -b = 3*l + 2*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*((sqrt(2205)*-3)**2 + 2*sqrt(720)*6).\nAnswer: 2160*sqrt(5) + 297675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/40*1\/(-9))\/(((-5)\/(-1))\/(-470)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2270953.\nAnswer: 2270953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x + 46 + 30*x**2 - 31*x**2 - 16. Let i(d) = -d**2 + 9*d - 4. Let p be i(6). Is 10 a factor of w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 101352637 - 101352637.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l**2 - l**2 - 9 + 16*l + 0*l**2. Calculate the common denominator of q(11) and -39\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -30. Let m be (-36)\/c*(-810)\/12. Is m at least -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 749470104*u + 70213179598721352.\nAnswer: 2*(u - 187367526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 70745*p - 212224. What is m(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 705, -26, -27?\nAnswer: 705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gii when three letters picked without replacement from {w: 1, i: 10, j: 2, g: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861447964.\nAnswer: 2, 13, 31, 173, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7737867, -17, -4 in descending order.\nAnswer: -4, -17, -7737867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 3. Let s(b) = 4*b + 0*b - 3*b + 1. Let m(k) = 2*l(k) + 7*s(k). Let g(a) be the first derivative of -7*a**2\/2 + 8*a - 32. Give -g(h) + 6*m(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4\/3, -3\/8, -9, -4, 2\/35, -0.58?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -22. Suppose -2*v + 1 - 2 = 5*g, -5*g = -5*v + b. Let f = v + -12. What is f rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 0, 5, -13 in descending order.\nAnswer: 65, 5, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2562*h**2 - 2570*h**2 + h**3 + 5132*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/2 - 26*b**2\/3 - 26*b - 40\/3 = 0. Calculate b.\nAnswer: -2, -2\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 42793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, -5.\nAnswer: -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -20 - 13. Let s = p + -4. Let o = 20 + s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**5\/5 - 8*h**4\/5 + 16*h**3\/5 + 32*h**2\/5 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.317087 to 3 dps.\nAnswer: -1.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g + 1. Let x be s(-1). Let v(k) = 2*k - 9. What are the prime factors of v(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 626736.\nAnswer: -1\/208912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 49, -0.5 in ascending order.\nAnswer: -0.5, 4\/7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000623860879 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (10 - (6 - -3)) + (1 - 7)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41920543 - 1?\nAnswer: -41920544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 46*b**2 - 40*b**2 - 3 - 2. Is v(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/((-2)\/(-10)). Is 12 a factor of (-390)\/(-33) - f\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*l = 6, 2*u + 3*l + 6 = -0*l. Suppose 3*f - 217 = 5*o + f, -2*o + 3*f - 78 = u. What is the units digit of -1*(o - (-3)\/(-1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016 is divided by 79?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 4. Let c = -3 + i. Suppose 3*h - 6 = -2*m - 0*m, c*h - m - 8 = 0. Solve 0*v + h*v = 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:28 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 - 149. Suppose 2644 - 2545 = 9*i. What is the greatest common divisor of h and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:48 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 700708*w\/3 + 233570.\nAnswer: -2*(w - 1)*(w + 350355)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14200052807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:00 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 0.02, 1\/4, -149.\nAnswer: -149, -2, -0.1, 0.02, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*14\/105*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 36*c**2 + 270*c - 432.\nAnswer: -2*(c - 3)**2*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 3*m. Let k be f(-3). Suppose d + 3 = 0, k = 2*n - 0*d - 3*d - 39. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50442756 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/9)\/4)\/((-1)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 30. Which is the biggest value? (a) -2\/23 (b) 4 (c) z (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 31. Let z(k) = 24*k**2 - 8*k**t - 13*k**2. Let s(h) = -h**2. What is z(s(b))?\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 14746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440084036 divided by -1392671.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-2) + -2)*(-36)\/((-80136)\/(-1166))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(36499\/1921 + (-3 - (-145)\/2))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -14457777.\nAnswer: -1445777.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43999 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -241 + -4?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001226207865 to six dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:09 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19781, -19784, -19789, -19796, -19805, -19816?\nAnswer: -19829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2487 - -2507. Calculate the smallest common multiple of v and 2\/(-4) + (-29)\/(-2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - 8) + (6 - -1). Let b(g) = g**3 - 10*g**2 + 3*g - 5. What is the tens digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -44560, -88, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/140*-5)\/((-12)\/624).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3078*y**3 - 2*y**2 - 12*y + 11. Calculate the smallest common multiple of q(1) and 6150.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*d + 216*d - 702 = 388*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 54 = 2*l, -2*l = -u - 25 - 23. Let y(w) = -w**3 + 6*w**2 + 6*w + 7. Calculate the remainder when y(6) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a factor of 59240395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus -12994?\nAnswer: 12992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -6c?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**4\/8 - v**3 - 3*v**2. Suppose 4*t = -t. Suppose t = -3*f - 2 + 14. Give w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.8. Sort -0.4, -1\/18, u.\nAnswer: -0.4, -1\/18, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70418662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/40)\/(2\/50))\/((-3)\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -11 + 3 + (-71 - -68)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*k - z - 2, 0 = 4*k - z - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 w when four letters picked without replacement from {t: 1, w: 2, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-40) - 131\/92. Let q(b) = -2*b - 15. Let y be q(-7). Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x - 15. Calculate h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2) + (-14)\/6. Is c greater than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8, -5*f - 4*x = -2*x - 28. Suppose -f*l + 11 = -5. Find the third derivative of l*k**2 + 142 - 142 + 4*k**6 wrt k.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 + -302. Let i = -114.142 - b. Let q = i + 0.712. Round q to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002906396452 rounded to seven decimal places?\nAnswer: -0.0002906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4309 - 9324\nAnswer: -5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p*p*p**(-2\/9))\/p))\/(p*p\/p**(-3)))\/(p*p\/(p*p*(p\/p**(-2\/3)*p)\/p)*p**2) assuming p is positive.\nAnswer: p**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 38. Let h be 0 + t - (3 - -1). Is h\/15 + 248\/6 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 6.8. Let s be (-2)\/8 + (-1)\/(-4). Let j = 1503.5 - 1504. What is the nearest to y in s, -2\/9, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 547 + -547.1. Which is the nearest to j? (a) -1\/3 (b) -2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 1:26 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 40*v**2. Let z(f) be the first derivative of 3*f**2\/2 - 250. Determine z(x(p)).\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72.8 - -67.8. Let l = 1 + -0.7. Let i be (4\/2)\/(10\/3). What is the second biggest value in l, i, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 1, s: 1, d: 3, b: 1, w: 4}. Give prob of sequence db.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**3*s**3 + 7244*g**3 + 2*g**2 - 7*s**3 - 5*s**2 - 162 wrt g?\nAnswer: -18*s**3 + 43464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*b + 18*r - 14*r, 0 = b - 4*r - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5\/2, 23, -2, 20?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8390 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: Let y = 236 - 235.8. Sort 1.9, y, 0.7 in increasing order.\nAnswer: y, 0.7, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/9)\/((a*a**(-1\/9)\/a)\/a))\/(a\/(a\/(a*a**5*a*a)*a))**(-8\/7) assuming a is positive.\nAnswer: a**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvvolduoodvvtv. Give prob of sequence dvvl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/5976 and -61\/62.\nAnswer: 185256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-12)\/(-471))*-6. Let c = p - 1731. What is c rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from {x: 1, a: 3, p: 3, k: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7663.8999942123 - 7663.9. What is s rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*j**4 - 15*j**2 - 96\/7*j**3 + 0 + 198\/7*j.\nAnswer: 3*j*(j - 33)*(j - 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 8 - 6, 5*i + 4*t - 177204 = 0. What is i rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 7*k**2 - 95*k - 31. Let w be a(14). Let f(y) = 140*y - 11. Let o(l) = 28*l - 2. What is w*o(m) - 2*f(m)?\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6127 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/(-30*20\/33600)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72360 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 - 5 + (-6 - 8 + 5)*(4 - 4 + 2) - 3 + 2 - 1)*(14 + 11 + 2*m - 23) in the form f + x*m and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31715 (base 15) to base 16\nAnswer: -264ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 11158*i**3 + 11156*i**3 - 10 + 36.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45976615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 + 25*q**3 - 30*q**2 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let c(h) = 26*h**2 + 80*h + 9. Let g be c(-3). Suppose 0 = -g*l - 12, -k*w + 3*l + 38 = l. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0 + 1\/24*f**4 - 7\/3*f**3 - 39*f**2 + 0*f. Give v(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59736 divided by -3144\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 34. Let v be (-1)\/h*(-18)\/27. Which is the closest to -1? (a) v (b) -24 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7831 in -3\/14, 27, -3\/4, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i**3 - 2 + 2)*(2 - 2 + 2) + 4*i - 4*i - 2*i**3)*(i + 0*i - 4*i).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:06 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - c + 54, -3*c + 40 = 5*j - 31. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 0.5, -0.06, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + (-22)\/5. Let i(x) = x**3 + 3*x**2 - 7*x - 10. Let l be i(r). Let k be 2 - l - -2*7. Solve -3*b - 2 = -k, 8 = 4*v + b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011101 (base 2) to base 16.\nAnswer: -41d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581 - 3*m - 581.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141918869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o, -48*h = -3754*o + 3751*o + 576 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -4, -1, -5 in increasing order.\nAnswer: -12, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5 - 2536*d**4 + 2540*d**3 + 2536*d**2 - 2538*d = 0.\nAnswer: -1269, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 90. Suppose c*l - 1591 = 3609. What is the highest common factor of 50 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 128200.\nAnswer: 128200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002576767 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628522449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 108\/5 and 22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 8) in base 15?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 1. Let f(k) = k + 5. Let x be f(n). Suppose -5*i + 15 = 0, 3*i = -2*b + x*i + 9003. Round b to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -114*(48\/(-9) + 5). What is the second derivative of -26*z**4 - z**2 + z**2 - b*z + 0*z**4 wrt z?\nAnswer: -312*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3. Let v be o(9). Let c(u) = u**3 + 7*u**2 + 8*u + 11. Let x be c(v). Let r(z) = z - 1. Let m be r(-4). Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*p = -105*p - 7562. Let g = -43 - -670. Calculate the greatest common factor of p and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iss when three letters picked without replacement from {o: 3, i: 2, s: 4, r: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 79d142 (base 14) to base 6\nAnswer: 224512250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 10:22 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 259, 808, 1649, 2728, 3991, 5384?\n\"Answer: -9*f**3 + 200*f**2 + 12*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.29598 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 743.9 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*10\/(-2))\/(66\/(3762\/(-95))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2 + t - 1 - 10 - 7 + 17. Let s be -7 + (6 - -3) + -8. Let i(u) = -1. Determine s*i(r) + c(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(65) + 2*sqrt(65) + sqrt(65))*-2*3)\/(-6*(sqrt(500) + 2*sqrt(500))).\nAnswer: -3 + 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/48 and 25\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.00086 at most -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*o - 4)*(-1 + 4 - 1) - 3*o + 2 + 0 + 6*o.\nAnswer: -7*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0 - 1\/6*a**4 - 2*a**2 + 0*a - 4\/3*a**3. List the prime factors of y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-4\/15)*w*w\/(w*w**(-2\/13))*w\/((w**(3\/5)\/w*w)\/w)*w**(-1\/2) assuming w is positive.\nAnswer: w**(259\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 13\/(-4) - 1. What is the nearest to 0 in -0.5, q, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1000 - -1977. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-121 + 93 + 144 + 2 + 1 - 1 - 6 + 2 + 3 + (4 - 5 + 0)*(6 - 4 - 3))*(-o**3 - 4*o**3 + 2*o**3) to the form v*o + h + f*o**3 + z*o**2 and give f.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -213, -183, -133, -57, 51, 197, 387?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9597 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f = 53*f + 26980. What is the remainder when f is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 32)*(-3)\/2. Let m = 28 + -10. Suppose -4*y = 12, 0*j - 2*y + m = 4*j. Calculate the greatest common factor of l and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8133\/7 + -1160. Let y = 103690\/21213 + 2\/2357. Calculate the common denominator of y and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**5\/4 + 39*o**4\/4 - 477*o**3\/4 - 1119*o**2\/4 + 237*o\/2 + 270 = 0.\nAnswer: -20, -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 696358 or 696356?\nAnswer: 696358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 + k**2 - 4*k - 2. Let h(f) = -11*f**3 - 5*f**2 + 17*f + 9. Let i = 288 + -286. Calculate i*h(v) + 9*n(v).\nAnswer: 5*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.53 - -1.88. Let w = 154.35 - l. Is w > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 - 3*k**2 - k**3 - 2 - 3 + 2. Let s(x) = -4 + 7*x**3 - x**2 - x**2 - 14*x**3 + 2. Determine 4*m(y) - 5*s(y).\nAnswer: 3*y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 38*c + 362. Give b(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -117784*s - 18609875. Give f(-158).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 1 - 91\/(-7). Let k be (-4)\/t - 32\/(-14). Solve 2*l = -k*h - h - 9, 0 = l + h + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f**2 - 535*f**3 - 1 + 548*f**3 - f - 6. Let v(j) = -9*j**3 + 7*j**2 + j + 5. What is -5*n(i) - 7*v(i)?\nAnswer: -2*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10666816 by 333338.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/3 (b) 4\/165 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31568046 a multiple of 2575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + y + 471, -x + 0*x - 2*y + 103 = 0. Let u = -125 - -157. Calculate the remainder when x is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 2*r - 2. Let v be 10\/(-20)*(-4 + -4). Let d(m) = 3*m**2 + 9*m + 9. Calculate v*d(h) + 18*g(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 13, -0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31938.38ng to micrograms.\nAnswer: 31.93838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29208 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 47348 divided by 76\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15647371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 6*u**2 + 7*u + 77. Calculate o(11).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/4 + 35*r\/2 - 219\/4 = 0.\nAnswer: -73, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/738 and -131\/30?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -33315.563701 less than -3?\nAnswer: 33312.563701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8844684\/47 at least -188184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-152)\/(-6)*(90\/(-4))\/(-5). Let g = u - 107. Let q(b) = -4*b + 7. Give q(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7083520 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 20 + 13. Which is greater: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9771, 9780, 9801, 9840, 9903, 9996, 10125?\n\"Answer: i**3 + 2*i + 9768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*(2\/(-4) + 1). Let b = -3 - 1. Let d be (-5)\/(-4) - (-1)\/b. What is the greatest common factor of d and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-8) - 2\/2. What is the nearest to z in -1, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541650, -541380, -541108, -540834, -540558, -540280?\nAnswer: -540000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 903727 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 2361\nAnswer: -25\/2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as 20\/347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**3 - 840 + 840.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55227, 110449, 165621, 220737, 275791, 330777?\n\"Answer: -b**3 - 19*b**2 + 55286*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3435.495 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 4*k + 4. Let y(o) = -10*o**2 + 9*o - 9. Let p be (26\/39)\/((-2)\/27). What is p*s(c) - 4*y(c)?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4252 = 18*c - 2930. What are the prime factors of c?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31281, -125146, -281591, -500616, -782221, -1126406?\nAnswer: -1533171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(153)\/(1*sqrt(81) + sqrt(81)))**2.\nAnswer: sqrt(17)\/3 + 53\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 2\/11 (c) -3\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7120909213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o - 10. Give g(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/5 + 2\/5. Suppose -h*a = -3*a - 5. Let j(z) = z + 7. What is the remainder when 7 is divided by j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 0 + 0)*(2847 - 2169 + 3861) as n + s*g + m*g**2 and give m.\nAnswer: -9078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 710 - 705. Let j be h*-1 - (20\/(-5) + 3). Which is the closest to -1\/4? (a) 1\/7 (b) -2 (c) -0.8 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6721418?\nAnswer: 2, 11, 193, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q)\/q)\/(q\/(q*q\/(q\/q**(-5\/4))))*(q**0)**34 assuming q is positive.\nAnswer: q**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-55)\/15 - -5 - (-2)\/(-2). Let m(z) be the first derivative of -1\/3*z**2 + 1 + 1\/9*z**3 + o*z. Suppose m(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -73599.085885 and 0.2.\nAnswer: -73598.885885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 154607*q + 618602. What is t(-4)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 845 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1\/9*t**3 + 0 + 3*t - 2\/3*t**2 + 1\/18*t**4. Find s such that l(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6279 - 3441. Is 43 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 17, 28, 43, 62?\n\"Answer: 2*o**2 + o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-38)\/(-399))\/((-12)\/42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*c - 175*c - 151*c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1)\/sqrt(6) + 2)**2 + (2*sqrt(832))**2 + (-6*sqrt(52)\/sqrt(4))**2 + 3.\nAnswer: 4*sqrt(13) + 3816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6781100 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s - 2. Let h be v(-2). Let t = 2 + h. Let k be 38\/9 + t\/9. Let q(f) = -f**2 + 4*f + 3. What is q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -2\/5, -98, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:21 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41*(-4)\/(-36))\/(17\/3060*-20)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 20 = t, 3*u = -0*u - 3*t + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c - 2*c - 2*c**2 + 0*c**2 + 6*c**2 - 22. Let w(z) = 5*z**2 - 6*z - 23. Let o(y) = -6*q(y) + 5*w(y). What is the tens digit of o(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 21*b + 67. Give h(15).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480277685?\nAnswer: 5, 113, 850049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = l + 5, -14*y = -8*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y*y*y**36*y)\/y))*y)\/(y\/y**24))\/((y**29*y)\/(y**(-1)*y)) assuming y is positive.\nAnswer: y**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -250*g - 711. Let o be u(-18). What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 1 - (110 + -91 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*3*(sqrt(720) - (sqrt(720)*-1)**2) + -1.\nAnswer: -10797 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 80112?\nAnswer: 560784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 250, 477, 694, 907, 1122?\n\"Answer: c**3 - 11*c**2 + 253*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**11)\/i**(-7\/2))**18 assuming i is positive.\nAnswer: i**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koko when four letters picked without replacement from ykoyoyoyokyyyooyyoo.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243356193?\nAnswer: 3, 27039577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 6*q + 1. Let v be m(-4). Suppose 17 = 7*a + 10. What is the units digit of (v*a)\/((162\/(-132))\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/14)\/(117*(-89)\/(-3471)))\/(4\/(-175))?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:51 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1545 in -1, -3, -0.3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*12598.\nAnswer: -503920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(294) + (sqrt(270)\/sqrt(5) - sqrt(6)))\/(sqrt(36)\/(sqrt(84)\/(sqrt(63)\/sqrt(9)))).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-16)*-6 + (-1283)\/(-42). Let z = m + -271\/7. Are z and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 7*v + 0*v)*(-2 - 4*v**3 + 2) in the form p*v**3 + m + z*v**4 + s*v**2 + i*v and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5 + 5 - 6*x + x + 24 - 9*x**2. Let c(n) = -n + 1. Let s(i) = -b(i) + 5*c(i). What is the first derivative of s(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1375*m = -1527*m - 221613 - 120823 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31502331 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 39 + 9. Let y = 10028 + -10027.5. What is the second smallest value in y, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o + 11*o = 49*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13 - j**3 - 48*j**2 + 34*j**2 + 6 - 13*j. Is n(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 w when three letters picked without replacement from {s: 4, g: 2, w: 1, u: 7, b: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(20)\/sqrt(4) - (sqrt(5) - (sqrt(5) - (-5 + sqrt(125)))))**2 + (2*sqrt(500)*-3 + 2)**2.\nAnswer: -256*sqrt(5) + 18088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q**2 - 324. Let v(y) = -26*y**2. What is a(v(t))?\nAnswer: 7436*t**4 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -67 + -1 + -4 + 0. Let p = -209 - w. Let f = 350 + p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7299 and -615062049?\nAnswer: 615054750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-7 + 48)) + 53.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -3*s**3 - 23*s**2\/2 - 38*s. Let w be o(-15). Calculate the greatest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 0.1185954 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31310.8747 minus -0.258?\nAnswer: 31311.1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*g**3 - 31*g**2 + 1712*g wrt g.\nAnswer: 150*g - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134727 + -134722. Solve -1\/4*l**2 + 0 - 1\/4*l**m + 1\/4*l**4 + 3\/4*l**3 - 1\/2*l = 0 for l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99305 + 10902. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00333 times 32236\nAnswer: 107.34588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -569911a7 - -1?\nAnswer: -569911a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 5. Let m(c) = -c - 11. Let w = -11 - -3. Let o be m(w). Let v be s(o). Solve 3*i - 4*f = -v*i - 45, 5*f - 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z + 169*z = -175*z - 8613 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60505 + 93475. List the prime factors of o.\nAnswer: 2, 3, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 331341?\nAnswer: 331335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4762984 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 20.9. Let o = 1.2 - 0.7. What is the closest to 0.02 in i, o, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 988750 and 40.\nAnswer: 3955000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:18 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19719*b**3*n**2 + 2*b**3*n - 4414*b**3 + b**2*n**2 - 3*n**2 wrt n.\nAnswer: 39438*b**3 + 2*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**3\/3 - 3*j**2 - 15*j - 8. Let m(w) be the first derivative of b(w). What is the units digit of m(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2577616331166 and -32.\nAnswer: 2577616331134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -105*v**3 + 510*v**2 - 520*v - 5*v**4 + 38*v**3 - 93*v**3 + 175 = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10003565*v**3 + 24935378 wrt v.\nAnswer: -30010695*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -39913 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 1. Let v be c(3). Suppose 2*f - v - 165 = 0. Suppose 5*b + 4*h = 2*b + f, -h = b - 29. Calculate the remainder when b is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625726?\nAnswer: 2, 312863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from wwjbsjwwwobwttwwt.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 19 = 44. Suppose -4*k + 38 = 2*s, 4*k + 0*s - 35 = -b*s. Calculate the least common multiple of k and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62495 and 6235.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:43 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 2*w**2 - 2*w**2. Let o(f) = 2*f. Give o(m(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 23250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -422 - -424. Let i = 443\/5 - 8397\/95. Suppose -2\/19*u - 4\/19 + 2\/19*u**3 + i*u**p = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 387 + -112. Let v = 3 + 2. Suppose 0 = -2*c - v*l + 124, 5*c - 3*l - 2*l - k = 0. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-5)*m)*m*m**0*m*(m*m\/(m\/m**(-6\/13)))\/((m*m\/m**(-3))\/m) assuming m is positive.\nAnswer: m**(46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 1920.\nAnswer: -1920.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:02 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 - -73. Let r = u - -77.999957. Round r to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428 + 631. Which is smaller: 201 or k?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235693 is divided by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 10*y**2 + 9*y + 8. Let z(u) = -u + 8. Let m be z(2). Let f be v(m). Let x = f + 87. Solve 3 = 2*b - x*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -0.5 (c) 311 (d) -60\/13 (e) 60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1134, 4565, 10294, 18333, 28694, 41389?\nAnswer: 56430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8) + -4 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -398\/11 + 36. Which is the biggest value? (a) 1\/5 (b) -1\/8 (c) 2\/9 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -1.1. Let d be (-12 + 8)*(39\/4)\/1. Let t be 52\/d*((-1)\/(-6) - 0). Which is the closest to -1\/3? (a) -4 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 0 + sqrt(11) + (sqrt(11) + sqrt(11) + 1)**2*3 + -1 + -1*sqrt(275) + -5 + ((0 + sqrt(275))**2*5 - sqrt(275)).\nAnswer: 8*sqrt(11) + 1504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, g: 1, w: 1, v: 2, s: 1}. What is prob of picking 1 v and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/4, -0.6, -0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0739 - 5.8661. Let t = 6 + x. Let n = -0.46 + t. Which is the closest to 1? (a) n (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123, 245, 367, 489, 611, 733?\n\"Answer: 122*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 1.3. Let w = 0 - c. What is the biggest value in -2, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3891882?\nAnswer: 2, 3, 37, 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15785, -126242, -426049, -1009880, -1972409?\nAnswer: -3408310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 2*g**3 + 4*g**3)*(-13*g + 155 - 155) + (4 - 1 - 4)*(0 - 4 + 3)*(-2*g**4 - g**4 + 2*g**4).\nAnswer: -92*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -87. Suppose -35*h - 16 = -k*h. Calculate the greatest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 466 - 466. Let r = 6.8 + -6.7. Which is the closest to r? (a) 1\/7 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*k**3 + 3*k + 501*k**2 + 93*k**3 - 501*k**2 - 249 to a*k**2 + p*k**3 + v*k + q and give q.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40924, -40885, -40832, -40759, -40660?\n\"Answer: o**3 + o**2 + 29*o - 40955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149 by 468.\nAnswer: -149\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51104, 102258, 153412, 204566?\n\"Answer: 51154*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from dddayyjdyay?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -675 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 399*v**5\/4 + 1985*v**4\/6 + v**2 + 5527. Find the second derivative of n(r) wrt r.\nAnswer: 11970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n**2 - 4*n**3 - 114 + 115 + 3*n**3 to y*n**2 + p*n + c*n**3 + i and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1399, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.3, 1\/2, 12131 in descending order.\nAnswer: 12131, 1\/2, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**2 + 4*o**2 + 8*o**2 + 7*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8739004?\nAnswer: 2, 367, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/2) - 8\/32.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:23 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/2750*(1 + 3)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 126*y**2 - 3*y + 1. Let g be v(1). What is the greatest common factor of g and 3286?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 33*w**2 + 17*w + 5. Let k be x(-17). Solve 0 = -2*h - k + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8 + 22*g + 6 - 27*g - 14. Let p(q) = -9*q - 3*q - 4*q. What is -3*p(o) + 10*r(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/23624 and 81\/20.\nAnswer: 118120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39048 = -4*q - 4*k, -q - 5*k + 9742 = -0*k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -8*w**3\/3 - 3*w. Let p(d) = 2*d**2. Calculate u(p(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*l**2*t*w**3 + 7*l**2*t - 4*l**2*w**3 + 982*l*w**3 + 2*l*w wrt t?\nAnswer: 72*l**2*w**3 + 7*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:01 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8802*j**2 + 5*j - 8767*j**2 - 5*j.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from {z: 2, o: 3, c: 5, r: 9}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and ((-2)\/3)\/((-1)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 886297516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19468.8 take away 0?\nAnswer: -19468.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 2\/11, -3\/4, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:55 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a*n**2 - 9*a - 31*n**2 + 1 with respect to n.\nAnswer: 12*a*n - 62*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53048.7ng in tonnes?\nAnswer: 0.0000000000530487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -137\/2*m**2 - 86 + 17*m. What is the derivative of z(o) wrt o?\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0. Let f = r - -2.3. Let j = -34 - -30. Which is the closest to 1\/3? (a) f (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5290335 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-8)\/10*(-10)\/4. Suppose 5*l - t = 3*t + 3, -j*l + t = -9. Find the common denominator of 301\/(-84) - l\/9 and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v + 4*v - 10*v - 15444 = 0. Solve -804 = 9*q - v for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 53.5. Let i = g - -28. Let s = i - -6. Round s to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*576056\nAnswer: -20738016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*5)\/sqrt(5))\/(-4*sqrt(147) + sqrt(3))*-5.\nAnswer: 25*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 1 - 14*w + 14*w)*(4*w**3 - 5*w**3 + 2*w**3).\nAnswer: -2*w**5 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100110200312 - 11?\nAnswer: -100110200323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -20*c + 102. Let k be c*(-5)\/(-25)*20. Calculate the greatest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/200 - q**4\/5 - 39*q**3\/20 - 81*q**2\/10 + 3*q + 169. Factor s(c).\nAnswer: -(c + 3)**2*(c + 18)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 15*x + 146*x - 975. Let j = 19 - 10. Calculate the remainder when 81\/2*12\/j is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17484 + 36116. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4076 - 3909. What is the remainder when n is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-31*b + 1 - 34*b + 75*b)*(142*b + 3*b**3 - 142*b) in the form t*b**4 + k*b**3 + j*b**2 + s*b + f and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from {l: 9, b: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 - 4*y**2 - 2*y**2)*(14*y + 19*y + 4*y) as j*y + h*y**2 + c + t*y**3 and give t.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(539)*1*1)**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 434 (base 8) to base 16\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55937 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x - u + 172 = 0, u = 64*x - 66*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 23 + -4 - -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/13)*l)\/(l\/l**(-4\/7))*(l\/(l*l\/(l\/(l*l\/(l\/(l**(-1)*l))))))**8 assuming l is positive.\nAnswer: l**(-675\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 77 + 151 = 0. Suppose -2*j - d*j + 1106 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b + 2*b. Suppose -3*o = 5*k - 16, -3*k + o = -2 - 2. What is the units digit of ((b - 4) + k)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 41 = 17*u - u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2685246 + 0.361484. Let h = j - 0.63. What is h rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -240 in -4, -2, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45950 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -20. Suppose -p*y = -2*y - 132. Let w(c) = -c**3 + 14*c**2 - 11*c + 14. Is w(y) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 212204945 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112943 is divided by 783?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -44*k + 2538. What is the lowest common multiple of 14 and k?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.173108 to two dps.\nAnswer: -2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 60*x - 31*x + 87*x - 7. Let q be s(3). Suppose 4*t - q = -41. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 136\/(-36) - (-4)\/(-18). Let r(t) = -2*t**2 + 2*t + 8. Let z(f) = 3*f**2 - f - 9. Let v(w) = n*z(w) - 5*r(w). Let v(g) = 0. What is g?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4301 - 30188\/7. Let u = 2147\/7 - 295. Let v = j + u. Which is the biggest value? (a) v (b) -2\/7 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 - 33 - (1 + 3 + -2). Let h be (-600)\/n*(-1)\/5. Let o = 153 + -1069\/7. Sort 0, h, o.\nAnswer: h, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -9 in descending order.\nAnswer: 14, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, 9.3, -4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/5 - 814*b\/5 - 271\/5 = 0?\nAnswer: -271, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -73*o**5\/60 - 340*o**3\/3 - 339. Let u(z) be the third derivative of y(z). Let h(x) = x**2. Give u(h(t)).\nAnswer: -146*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 3*g + 2. Let t be y(3). Let i be t\/(-20)*5 + 0 + 0. Suppose 9*l = i*l + 265. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2293146 and 15.\nAnswer: 11465730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -7*m**6\/120 - 7*m**5\/60 - m**4\/24 + 3*m**3\/2 - 21*m**2. Let n(s) = -s**3 - s**2 + 1. Let a(w) = f(w) - 6*n(w). Give a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 8*h + 6. Let o be x(-8). Find the third derivative of -157*p**6 + 4*p**2 - 152*p**6 + 291*p**o wrt p.\nAnswer: -2160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 4 = 0. Suppose 1518 + 531 = -997*h + 55. Sort r, 6, 4, h in increasing order.\nAnswer: h, r, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 6*j + 1. Let v be p(6). Suppose 3*m - v = 2*m. Is -0.03 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**10\/5040 + j**9\/7560 - j**4\/12 - j**2. Let x(w) be the second derivative of b(w). Solve x(t) = 0 for t.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -5, -9\/7, -0.01494 in decreasing order.\nAnswer: 4\/3, -0.01494, -9\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8063530.9 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3229.8 - 3230. Which is the closest to 2\/29? (a) f (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s**2 + 49*s + 1 - 1 - 51*s.\nAnswer: 34*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:43 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60983029 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4 - 40*u**3 + 65*u**2 - 30*u = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2872900 rounded to the nearest ten thousand?\nAnswer: -2870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o**3 + o**3 - 4*o**3)*(-31*o - 21*o + 19*o) in the form n*o + v*o**3 + t*o**4 + u + g*o**2 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 323\/340 + (-6)\/8. Put -0.9, k, -2, 4 in increasing order.\nAnswer: -2, -0.9, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 24*c - 23 - 21*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times 31?\nAnswer: -52.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 2*z**3\/27 - z**2\/3 - 8*z\/9 - 22. What is q in l(q) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a + 7*a = 304. Let p = -2.1 - -2. Put 3, p, a in descending order.\nAnswer: a, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4678914 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(10\/75*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-20))\/(2\/80). Suppose -30*k = -g*k - 20. Which is smaller: 6\/77 or k?\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207.9994 + 208. Let i = f - -0.0321. What is i rounded to three dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/2)\/(15\/(-36)). Suppose -3*n + 3*f = -n - 13, 2*n + 4*f = r. Suppose n*b = 98 + 267. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 53. Suppose -a + 2 + 29 = 0. Let b = z + a. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:00 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 3*d**2 - 22*d - 69. Let a be y(-3). Let v(z) = -z**2 - z. Let h(w) = w**2 + 3*w - 3. Calculate a*v(u) - h(u).\nAnswer: 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8553324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 60, 129, 226, 351, 504, 685?\n\"Answer: 14*f**2 - f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64179.139 rounded to the nearest 10?\nAnswer: -64180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 633\/4 - 160. Find the common denominator of f and 3\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - o + 1)*(o**2 + 2 - 2) - o**3 + 2*o**2 - 2*o**2 + (0 + 0 + 2*o)*(1 - 1 - o**2) + 3 - 2*o**3 - 3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/979311 - 61698089\/732524628. Calculate the common denominator of l and -127\/110.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0052531 grams?\nAnswer: 0.0000052531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-3*(2088\/(-162))\/(-29)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -823.9 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a - 2. Suppose -4*v + 5*v = -1. Let q be (-2 - -3) + 1 + v. Let b = q - 5. Determine w(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-5) - 354\/(-350). Let r = 15559\/1400 + j. Let z = 24\/103 - -9943\/206. Calculate the common denominator of z and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206423?\nAnswer: 7, 37, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -98 + 2\/3*i**5 + 0*i**2 + 0*i + 1\/9*i**6 + 8\/9*i**3 + 4\/3*i**4. Factor v(g).\nAnswer: 2*g**2*(g + 1)*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 + -0.02. Let y = 139 - 139.1. Which is the closest to s? (a) y (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:34 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -88, 4, 2, 6.\nAnswer: -88, 2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -501?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 627 - 1253\/2. What is the nearest to 2 in 7\/5, v, -4?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nhhvnhhn?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, u: 1}. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(1216) + 0 + -1)*6 + -2 + sqrt(1900)*1 + -3 + 5)**2.\nAnswer: -1392*sqrt(19) + 64062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 84 = 31*v. Suppose 6 = v*k - 20*k. What is the least common multiple of k and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-5)*(f**2*f)\/f*f)**(8\/3) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1662602 (base 7) to base 10.\nAnswer: 233879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.17, -4\/5, 5, -12?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) -10 (c) 4 (d) 33 (e) -0.05 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 169*b - 6246. Let p be n(38). Solve -22*x - p + 44 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from {w: 2, v: 4, t: 2, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 142.2240993+-44389.4\nAnswer: -44247.1759007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 6*f**2 + 7*f + 2. Let v be b(-5). Let r(j) = j**2 + 8*j - 1. Let l be r(v). Is 2 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -42 (c) 25\/451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 18) + -6 + -4 - -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 1 f when three letters picked without replacement from {g: 4, t: 4, v: 1, f: 1, r: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15 = -5*g - 3*f, 0 = -4*f + 20. What is the common denominator of 47\/8 and (-785)\/260 - (g\/(-8) + 0)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10459135, -20918132, -31377129, -41836126, -52295123, -62754120?\n\"Answer: -10458997*u - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/35)\/((-56)\/35*(-3)\/(-12)). Let x = 50.12 - 50. Sort x, i, -2\/3 in decreasing order.\nAnswer: x, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 645 and 55?\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(25)\/sqrt(5) + 3)**2.\nAnswer: 6*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (44\/4)\/1. Calculate the least common multiple of 77 and -6 - -166*r\/(-12).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3760293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3 + 4 + 0 + b. Let j be p(4). Suppose -2*x + 3*a - 5 = 3*x, -a = 5*x - 15. Solve -3*n + 4*r + 12 = -x*n, 10 = -j*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9975.862 rounded to the nearest 100?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 143, 107, 35, -85, -265, -517?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * -2.31597.\nAnswer: -0.7179507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1180 divided by 27422.\nAnswer: 590\/13711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 + -0.1. Let w = -0.64 + o. Let y = 0 - 0.1. What is the nearest to y in w, -1, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 23208*p**2 + 162548*p - 15. Determine v(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50483*y = 50469*y + 798 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1766536 and 17102?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-3))\/((-10)\/(-15)). Let f(i) = 2*i + 8. Determine f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-3) - (-28 + 4 + 9 + -16)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*q + 45 + 75. Is q\/10*-1 - (0 - 572) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*d - 4 = -o, -2254*o - 5*d = -2250*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**4 - 11*x**3 - 751*x**2 + 769797*x.\nAnswer: 24*x**2 - 66*x - 1502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from gmbgmggb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5.75. Let x = z + -0.7. What is the third smallest value in 0.3, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 41. Let d = z - -97\/2. What is the second biggest value in d, -4, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/3)*a\/(a\/(a**(-2\/11)\/a)))\/((a*a*((a*a*a*a\/(a\/a**(-1)))\/a)\/a)\/a*a**(-4\/5)) assuming a is positive.\nAnswer: a**(157\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 380615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and ((-1321)\/(-2) - (-15)\/(-30))*(-9)\/(-6)?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 15*d - 78, 0*d + 18 = 3*u - 0*d + d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1262483997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3356 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101101 + -110100100000101?\nAnswer: -110011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 702 + -697. Which is the third biggest value? (a) -3\/7 (b) h (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8196 = 194*k + 287*k - 500 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(12\/5))**(-3\/37)*j**(7\/2)\/((j\/(j\/(j*j**22*j)*j))\/j) assuming j is positive.\nAnswer: j**(-6917\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7986.435 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3880194 and -0.1?\nAnswer: 388019.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.5 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3555280518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(w**2 - 2*w**2 + 4*w**2)*(-2*w**3 + 4*w**3 - 4*w**3).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7809*j**6 + 37*j**3*u - 5*j**2*u + 3*j**2 + 3*j*u - 232 wrt j.\nAnswer: -937080*j**3 + 222*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91) + -3*sqrt(91)*2)*2)\/((sqrt(7) + (sqrt(7) - sqrt(175)*-3))*3) + -5.\nAnswer: -5 - 8*sqrt(13)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a + 36. Let g be m(3). Let n(l) = l**2 - 29*l + 70. Is 14 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 170734812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 20*i + 55. Suppose 0 = 5*m - i*h - 1240, -4*h = m - 6 - 237. List the prime factors of m.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28779 + 28776.7287. Round s to two dps.\nAnswer: -2.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1860 and 32460.\nAnswer: 1006260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 981 - 461. Suppose -5*u = -u - r. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**7\/42 - j**6\/5 - 7*j**5\/4 - 4*j**4 - 10*j**3\/3 - 958*j. Factor y(v).\nAnswer: v*(v - 10)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q)*(-2 + 1 - 2)*(3 + 2 - 6)*(-q**2 + 0*q**2 + 4*q**2).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**3 + 282*u**2 - 2337*u + 3570 = 0. What is u?\nAnswer: 2, 7, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 4\/12*-3. Let z be -4 + -11*(-19017 + k). Suppose -3*x - x - 3*w - z = 0, -2*x = -5*w + 104610. What is x rounded to the nearest one thousand?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -51 in descending order.\nAnswer: -2, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Suppose h*k = -4*v + 16, 4 = -2*v - 0*k + 2*k. What are the prime factors of 38 - 1 - v - 3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -v. Let j be (-14)\/((-210)\/485) - (-1)\/(-3). Let r be (j\/24)\/(v*3\/54). Solve m - r = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - 43. Let q = -73 - a. Suppose -q*s + 589 = f, -2*f + 175 = 3*s - 184. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s - 1064. Let y(v) = -10*v - 8. Determine y(o(u)).\nAnswer: 40*u + 10632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 53418776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29997061249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4193, 7945, 11697, 15449?\n\"Answer: 3752*f + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 divided by 66188.\nAnswer: -69\/33094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81833 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1731 - 1515 = 4*b + 12*q, 4*b + 2*q - 46 = -0*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 + (8 - (-3 - -1 - -11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*k - 2, -67*n + 29*n + 30*n = -2*k + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q, 26658 = 3*z + 320*q - 323*q. List the prime factors of z.\nAnswer: 3, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z**3 - 437*z**3 - 325*z**3 + 222*z**3 - 371*z**3.\nAnswer: -888*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 1, 175, -4, 9 in increasing order.\nAnswer: -10, -4, 0, 1, 9, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:00 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 93*q + 99*q = -31, -q - 6 = 0. Put l, -47, 1, -1, -4 in increasing order.\nAnswer: -47, l, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1680000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p + 4. Let u(b) = -b**3 + 13*b**2 + 2*b - 31. Let n be u(13). What is x(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10798)\/14 + 8\/28. Let v = t - -1109. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 1\/2 (d) 0 (e) -5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -35. Calculate the remainder when 47 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 5:39 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -288.5 - -288. Suppose 3*l = 4*r + 5, -32 - 18 = 5*r + 5*l. Sort r, 1, v in increasing order.\nAnswer: r, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 32*q + 482. Let g be m(-10). What is the nearest to g in -0.05, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*o - 104 + 134, -c + 5*o = -26 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (2 + 0\/1). Let n(u) = 5*u + 1. Let i be ((-18)\/(-2))\/3 + -2. Let v be n(i). Solve -5*h - 2*z = -k, v*h - z - 7 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q + 23*q + 4 - 41*q - 4.\nAnswer: -57*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 20 = 4*c, -89 = 12906*k - 12898*k + 5*c for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 1. Let d(f) = -f**2 + 5*f + 37. Let h be d(9). Let g = -18 + 12. Let t(r) = -7*r - 9. Let q(p) = g*a(p) + h*t(p). Calculate q(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47037 * -0.3\nAnswer: 14111.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147.94 + -154. Let y = -6 - f. Let m = y - 0.16. Which is the nearest to 0? (a) 2 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -465*w. Let o(t) be the third derivative of -17*t**4\/12 + 9863*t**2. Calculate o(a(z)).\nAnswer: 15810*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 289820834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/39937 or -1?\nAnswer: 3\/39937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 661\/4 + (-12)\/(-16). Suppose -3*r - 2*r - s + l = 0, 5*r - 182 = 3*s. What is the lowest common multiple of r and 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 36818990.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 134 (b) 5 (c) -5 (d) -0.3 (e) -1 (f) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*-7 + (-21)\/(-35)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50717436 divided by -164667?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.8934 and -0.5.\nAnswer: -2.4467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-8)\/(2 + 2). Let o be (-2)\/(-4) + (-11)\/c. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sol. Give prob of picking 1 l and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.1864 rounded to zero decimal places?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1537136*s**3*z + s**2*z + 2*s**2 + 349*s*z + 632*z wrt s.\nAnswer: 9222816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (((sqrt(171) + sqrt(171)*2)\/sqrt(9) + 5)**2 + -1 - (sqrt(19) + (sqrt(76) - (sqrt(76) + 3 - sqrt(76))) + sqrt(1539)*2)**2).\nAnswer: -8186 + 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (30 + (11 + -42 - -19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-376*(-18)\/9504 + 2\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 5*h - 41, -5*c - 115 = 5*h. Let d = c + 30. Solve 4*w + d = -8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -175 + 88. Let l = -87 - u. Suppose -4*i + l = -2*p + 18, 3*i - 3*p = -21. Put -1, i, 12 in ascending order.\nAnswer: i, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71761840 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6078065 millimeters to centimeters.\nAnswer: 0.06078065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 736979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.5, -22, 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-15 - (23 + -24)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 2. Suppose 2*a + 15 = -2*a - 5*b, a = b + 3. Suppose 0 = -a*q + 5*q - 5. Sort q, 5, x.\nAnswer: x, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 + 7*k**2 + 51*k - 7. List the prime factors of h(-10).\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17946 = -4*r - 2*a, -5*a + 18431 - 482 = 4*r. Is 41 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) + (-6109)\/(-5) + 2. Let b be 7\/(147\/y)*7. Suppose 2*l = 5*x + b, x + 0 - 2 = 0. What are the prime factors of l?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -1\/120*c**6 + 0*c**2 - 2*c + 1\/48*c**4 - 3\/80*c**5 + 1\/12*c**3 + 0 + 1\/168*c**7. Factor k(x).\nAnswer: x*(x - 2)*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12248 + 12247.5. What is the second smallest value in l, 0, -2\/5, -7, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 1. Let g(t) = -t + 8. Let y(r) = g(r) - 2*x(r). Suppose -61*m + 9 = -58*m. Let c(w) = 3 - 1 - 1 + m + 2*w - 8. Determine -7*c(v) - 5*y(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 115 + -54\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 2*o - 1. Let c be i(2). Let m be -1*625*(c + 2401). What is m rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*5\/(-25) - (5 - 20). Let b(a) = 21 + 492*a + 433*a - 961*a. Let z(i) = 5*i - 3. Calculate l*z(r) + 2*b(r).\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43\/15 + 8\/60. Suppose -14 = -5*q + 3*l + 1, -q = x*l - 3. Suppose 5*w + 3*d - 874 = 0, -q*d - 356 = -2*w - d. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 742*b**3 + 3*b**2 + 3*b + 4096. Let r(i) = 743*i**3 + 4*i**2 + 4*i + 4097. Let z(n) = 3*r(n) - 4*s(n). What is the first derivative of z(g) wrt g?\nAnswer: -2217*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -170*v**2\/11 - 472*v\/11 + 114\/11 = 0.\nAnswer: -3, 19\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -0.1, 38?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 3*b + 14370 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1361, -5476, -12343, -21968, -34357, -49516, -67451?\n\"Answer: -a**3 - 1370*a**2 + 2*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 162 - 147. Let f be (-1*r\/9)\/((-1)\/54). Let v(w) = w**3 + w**2 - w + 18. Let u be v(0). What is the highest common factor of u and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -19*o - 2. Let x(q) = -8*q - 7*q + 2*q + 1 - 1 + 7 - 8. Let g(h) = -h**3 + 7*h**2 - h. Let l be g(7). Determine l*x(b) + 5*f(b).\nAnswer: -4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x**2 + 9*x - 21. Let k(i) = -8*i**2 - 8*i + 20. Calculate -6*g(l) - 7*k(l).\nAnswer: 2*l**2 + 2*l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*b + 2*q - 6*q, -5*b - q - 19 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.372 minus 24?\nAnswer: -23.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 10. Let d be c(-7). Suppose m - 4*i = 0, 6 = -d*i + 14. Let k = m + 40. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*q**2*z - 40305*a*q*z + 10*a - 3*q**2*z + 592*q*z + 1438 wrt a.\nAnswer: q**2*z - 40305*q*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p + 3. Let l be w(-6). Suppose -r + l = 4*r. Let i = -39 + 43. Sort r, i, -2 in ascending order.\nAnswer: -2, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 48 (b) 2\/13 (c) -18.9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 + 1075*b**3 - 751*b - 1.\nAnswer: 12*b**2 + 6450*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -759 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3799893 - 760*g - 3799893 - 2*g + 3*g + g + (0*g + 0*g - 2*g)*(-4 + 2 + 1).\nAnswer: -756*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*h = 108 - 935, -4*h + 832 = -4*i. Let z = -159 - i. 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 the cube root of 8917519 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -53*k - 2879. Give c(-54).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25035232811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/2 - 3*o**3 - 3*o**2 - 29*o - 63. What are the prime factors of q(-6)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -20*j + 932. Let b be y(-25). What is the highest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19572365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4262619580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368 + 675. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/308 and 9\/47284?\nAnswer: 3640868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 16 + -19 + -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/30 + 49*m**4\/6 + m**3\/2 + 37*m**2 - 188*m. Find the second derivative of w(a) wrt a.\nAnswer: -12*a**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = 4*m + w + 529, 2*w - 926 = 5*m. Let r = m - -306. What is r rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 2)*(-21 + 21 + 6*j**3) + 58*j - 58*j - 13*j**3 + (-3 + 2 + 0)*(5*j**2 - 2*j**2 - 2*j**2)*(-229*j + 86*j + 110*j))*(2*j**2 + 2*j - 2*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1728, 3452, 5174, 6894, 8612?\nAnswer: 10328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(400))\/sqrt(8).\nAnswer: 3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1205 = -11*f + 10456. What is the common denominator of 89\/18 and (-6)\/(-27) - (f\/(-198) - -2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j**2 + j + 14. Suppose -2 = 5*i + 8. Let y be 15\/30 + i\/4. Calculate s(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:41 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161\/2 + -321\/4. Is 0.356 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.03 (c) 20 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-8)\/f*f*f\/(f**(-2)*f)*f*(f**(-5)*f)\/(f*f**(-11)*f))**(-2\/59) assuming f is positive.\nAnswer: f**(-2\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oolooooooloooool. What is prob of sequence lool?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(80) + (sqrt(80) - ((sqrt(80) - sqrt(80)*-4) + sqrt(80))))\/sqrt(10))\/(sqrt(36)*2 - sqrt(4)) + 5).\nAnswer: -30 + 24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2541977196 - 0.4.\nAnswer: -2541977196.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wat when three letters picked without replacement from {w: 4, a: 3, g: 1, t: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379676 divided by 1094919?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5180 + 5270. What is the lowest common multiple of 440 and j?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s + 21. Let v be c(-5). Let y be 1*-1*v\/((-24)\/(-210)). Is 9\/15 + y\/25 - -114 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8137, 7345, 6557, 5773, 4993, 4217, 3445?\n\"Answer: 2*m**2 - 798*m + 8933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -15, 0 = -v - 4*v + 5*h. Suppose -b = -0*b + v. Let o = 6 + -10. Sort b, o, 5 in increasing order.\nAnswer: o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 33 - (-271 + 300) - (2 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-6)\/(-4))*(-4 + 4). Suppose q = 658*a - 654*a - 12. Solve 6*f - 11 = -a*m + f, -5*m = 3*f + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 6*z**2 - 6*z - 1. Let j = 12 - 17. Let i be s(j). Suppose -5*k - i*d + 29 = 3, -5*d = k - 22. Solve h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636211085 a multiple of 11412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -56. Let a be 9\/(t\/(-12) - -2). Let r = 16 - a. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -8. What is the tens digit of 16 - (0\/t - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 209cb + 10?\nAnswer: 209db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b**2 - 7*b**2 - 3*b**2)*(-3*b**2 + 7*b**2 - 2*b**2) in the form w + h*b**2 + p*b + t*b**3 + u*b**4 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 83591 * -79\nAnswer: -6603689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -44, -106, -184, -272, -364, -454, -536?\n\"Answer: g**3 - 17*g**2 + 4*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqqqqhbbbbqqqo. What is prob of picking 3 q?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*153\/595*7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*z + 12 + 6 = 0, 3*p + z - 6 = 0. Put -3, -1, p in decreasing order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -529705715262?\nAnswer: -529705715263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 5*k**2 + 117 + 10*k**2 - 25.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -c59 (base 16) to base 5\nAnswer: -100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 + 3*o - 8. Let w = 1 + 11. Suppose i - 7 = w. Calculate the remainder when i is divided by h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/21 and 8\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from ydvoyooovdvodopvooy?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64508?\nAnswer: 2, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/85 + 1)\/((-86)\/(12 + -442)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604960 rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 61. What is the closest to -1\/5 in 0, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 56 = 7*k, -1230*v + 24 = -1232*v + 3*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 39178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*d - 30*d + 2732. Let z be (-5)\/(-30) + d\/12. Suppose -u = s - 66, 2*s - 4*u = -0*u + z. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 128\/7 - 128\/7*p - 4\/7*p**4 - 24\/7*p**2 + 4*p**3 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14536 (base 8) in base 10?\nAnswer: 6494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123324 is divided by 1666.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (10 - 21) - 110) + (196 - 191).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 2996582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -1, 9491, -0.88?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 1. Let o be s(-3). Suppose o*y = 35 + 15. What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 978 - -173. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by -27.\nAnswer: -47\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036634132 to the power of 1\/2, to the nearest integer?\nAnswer: 32197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 + 149. List the prime factors of g\/(-8) + 1398\/8.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400 by 1650.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 7*g + 7. Let u(b) = 2*b + 2. Let n(f) = 14*u(f) - 4*w(f). Let l(i) = 3. Let z(m) = -m + 21. Let s(a) = -21*l(a) + 3*z(a). Give s(n(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = 0, -t = -3*c + 636 + 2363. Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 + 18*f**3 - 13*f**3)*(0*f + 2 + f - 1)*(-3*f + 0*f + f).\nAnswer: -20*f**5 - 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 - 4*n - 46. Determine k(5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*i**2 + 17*i**2 - 98*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25170 and 10?\nAnswer: 25170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3185 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(sqrt(216) + (sqrt(216) + -4*sqrt(216) - sqrt(216) - sqrt(216))))\/(sqrt(9)\/sqrt(3)*4 - sqrt(3)*1*6).\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g + 42. Let w be i(-6). Suppose -3*t - 2*u + 3*u + 846 = w, u - 559 = -2*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - sqrt(228)\/(-3*sqrt(12)) - (-2 + 1 + sqrt(19) + sqrt(19))) + 3.\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 1073.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 12) + (35 - 44) - 28.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 19. Solve w*k + 2*k = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:57 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l - 2*l**2)*(3*l**2 - 4*l**2 - l**2) + 3*l**2 - 3*l**2 - 2*l**4.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d + 356 + 1737. Let w = d + -277\/3. What is the closest to 1 in 4, -8, w, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115763831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 725361 divided by -162?\nAnswer: -241787\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2\/8 - 87*i\/4 - 171\/8 = 0?\nAnswer: -57, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(357\/6) + 39\/((-153153)\/(-660)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**43*b*b)\/b**(2\/51) assuming b is positive.\nAnswer: b**(2293\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291.9111 + 0.0889. Let t = k + -292.4. What is the second biggest value in 0, -0.51, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(98) + sqrt(98)*2 + sqrt(98) - sqrt(98)))**2 + 3.\nAnswer: 190\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + (-9)\/(-2))*0. Solve 4*m - 7*m - 15 = u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27331*r + 7361*r**3 + 27331*r.\nAnswer: 7361*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 + 2*m - 3*m - 1 - 4*m + 4*m. Calculate the remainder when 37 is divided by c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 642*x**3 - 865*x**3 + 7*x + 6277*x**5 - 6282*x**5 + (-3*x - x + x)*(0*x**3 + 0*x**3 - x**4).\nAnswer: -2*x**5 - 223*x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.76 + 1.24. Let z = x - 40. Let o = -3 + 2.7. Put 2, z, o in descending order.\nAnswer: z, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 3, -2 in increasing order.\nAnswer: -6, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 25. Which is the biggest value? (a) s (b) -3\/4 (c) -4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*p + 17 + 90 - 593. Solve -k + 4*u - 11 = 0, u = 4*k - 4 + p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*f + 6780 = 0, 189*z = 190*z - 3*f - 2250. What is the greatest common divisor of 5040 and z?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**3\/2 + x**2\/2 + 2*x - 2821. Let d(r) = 1. What is -3*d(a) + m(a)?\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -239.8 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -457 - -454. Let z = 2\/99 - -130\/99. Let o = -8 + 13. What is the second smallest value in z, c, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.01919 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2937 divided by -3.\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45\/62 - 7\/31. Let s(p) be the first derivative of 0*p**4 + 0*p + 4\/3*p**6 + 0*p**5 + j*p**2 - 1 + 0*p**3. What is the second derivative of s(t) wrt t?\nAnswer: 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3128687*o + 18772126. Calculate x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 * 133750.\nAnswer: 7623.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -21. Let j = w - 25. Let c = j - -28. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from jqhhjvjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3349890 is divided by 1116583?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -62, -71, -74, -65, -38?\n\"Answer: f**3 - 6*f**2 + 2*f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 5. Let y be z(-6). Let d = 33 - y. Suppose 4*g + 5*p = 14, -3*g - 2*p + 6*p + d = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 818\/(-29857) + 1385\/(-73)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/(-6)*(2\/4)\/((-5025)\/(-45225)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o - 48 = -203 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3111016 - 1135073 = y. Let u = -1653911 + y. What is u rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4 + 736093*n**3 - 45135193486*n**2 - 2153093959620*n - 1415335668984 = 0. What is n?\nAnswer: -47, -2\/3, 122706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 42*x\/5 - 8.\nAnswer: 2*(x - 5)*(x + 1)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 + 18*b**2 + 29*b**2 + 32*b**2 + 2 - 129*b**2 + 24*b**2.\nAnswer: -6*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 1:58 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3146440.46 to the nearest 10000.\nAnswer: -3150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u + 17*u - 2*u**3 + 18*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45658915 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0575 or 0?\nAnswer: 0.0575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1976\/49937 or -1?\nAnswer: 1976\/49937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2577484.\nAnswer: 2, 7, 13, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.195 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = -4*g - 7*g. Is g greater than 16\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77662921 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcctrfcrjqjj. What is prob of sequence qc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 30 = 12. Suppose 0 = l*q + 2*q - 56. Solve 0 = q*p - 2*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 3*z**2 + z + 1. Let a be f(-1). Solve 0 = 2*p + a*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/19 in 1.2, 0.423, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, w: 2}. Give prob of sequence ww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -50. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0864 and -60.77?\nAnswer: -5.250528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3754\/5 + 750. Let p = -5 + 7. Let o = p - 2.1. Which is the third biggest value? (a) z (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 1\/3*k**4 + 0*k**3 + 46*k + 0 + 0*k**5 + 0*k**2 - 2\/15*k**6. Let l(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 4 = -19*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 71*f**2 + 4*f - 8. Let u(d) = d**2 - d + 2. Calculate -j(h) - 4*u(h).\nAnswer: -h**3 - 75*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 59 - 65)*(233 - 32*q - 233).\nAnswer: 864*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 23. Let v be w(-12). Let m be 2*((-5)\/6 - v). Let y be ((-9)\/8)\/((-9)\/(-6)). Which is the third smallest value? (a) -0.1 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/(-13)*(-2 + (-4)\/(-6)). Suppose 51*c - 53*c + 64 = 0. Calculate the greatest common divisor of p and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 - 11*o**3\/3 + 16*o**2\/3 + 4*o\/3 = 0. Calculate o.\nAnswer: -2, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -230\/81149?\nAnswer: -230\/81149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44389087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*s**4 + 364*s**4 - 514*s**2 + 666*s**2 wrt s.\nAnswer: 12312*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3 + (-3 - 1 + 5)*(1 - 3 + 1) - 1 + 3 + 0)*(8*y - 2*y + 0*y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrgrrggggggrggrgrg. Give prob of picking 4 g.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3 and 157\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1639542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -z + 2*v + 208, 0 = -5*z + v + 644. What is the remainder when z is divided by 73?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -476 + 523. Let x = d + -49. Which is bigger: -89 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 2*z + 1. Let j be q(-5). Suppose -y + 4*y = k + 77, -5*k = -3*y + j. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.125 - 27.425. What is the nearest to 1\/2 in -0.5, -30, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlvhhhvellhh. Give prob of picking 1 e and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from nnccc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 42*d**3 - d**2 + 77*d + 92*d - 96*d - 73*d.\nAnswer: -42*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1359 and 3624.\nAnswer: 10872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 0, 2*u = b - 2 + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53976.4 hours to seconds.\nAnswer: 194315040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 909241.6l?\nAnswer: 909241600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.437 - 16.237. Which is the second smallest value? (a) 7 (b) 0.23 (c) 0 (d) 0.5 (e) x\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = q + 3*q - 18, 4*w = 3*q - 4. What is o in 2*o**2 + 0 + w*o + 1\/2*o**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/70*g**5 + 0 - 1\/42*g**4 - 1\/420*g**6 + 0*g**3 + 0*g - 3*g**2. Factor x(o).\nAnswer: -2*o*(o + 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207500 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -6793?\nAnswer: -6793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(84) - (-1*1*sqrt(84) + sqrt(84) + sqrt(84)))\/(sqrt(24)\/sqrt(2)*3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-23 - -10) - -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-35))\/(-2)*1008\/(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 - -239. Differentiate -12*i**2 - 78 + z - i - 76 - 19 - 38*i**2 wrt i.\nAnswer: -100*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 - (12 + -11)) + 2 + -7 + 5 + 9\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 400601422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, -0.0004296.\nAnswer: -0.4, -0.0004296, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 33*d + 239. What is c(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(3968\/(-62))\/(-1664).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, 1\/2, 3, 2, 47.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/(24\/40*2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 11 + 144. What is the tens digit of -12 - -12 - 5*n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.09, -0.2, 98.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - d - 290, -3*d + 3 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -306?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (38 - 45)) + (1 - 24).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 bigger than -394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 + 235407*n = 0. What is n?\nAnswer: -78469, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 12.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f - 10 + 10)*(-19 - 20 - 9) + 0*f + 4*f + 0*f to m + p*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 135.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 82*v**3 - 7220*v**2 - 29488*v - 29440 = 0?\nAnswer: -2, -80\/41, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, 23, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1430794 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 2, e: 7, m: 4, p: 1, z: 4}. What is prob of sequence kko?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -1856, -2784?\nAnswer: -3712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 145*a**2 + 2*a. Let f be k(1). Suppose 0 = 6*b - 4*b + 150. Let c = b + f. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y + 4. Let t be s(-5). Let x be t\/3 + 84\/36. Let c be 4 + -3 + 0 + 0. Solve c + x = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 7 + 11*s + 3 + s. Let q be z(7). Suppose 54 = 2*i - 3*p, 2*i - p + 4*p = q. What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 258754860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110111 + -10?\nAnswer: 1011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0099 + 0.1549. What is the smallest value in -0.4, -2.3, 2\/7, n?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34857 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o**3 - 34*o**2 - 53*o - 159. What is the thousands digit of a(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 526 + -516. Suppose -5*g - q*g + 315075 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/2 + -153*(-24)\/432?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 0*w = -12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvbvbvbbvbb. What is prob of sequence vb?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 7299 + 1299 = 0. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33000.61 to the nearest 100.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-3\/4))*w)\/((w**6\/w)\/w))**(-35) assuming w is positive.\nAnswer: w**(315\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 103, 252, 513, 922?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/31 (b) -1 (c) -5.8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 1. Let p be q(1). Suppose 5*l + 17 = -p*s, 4*l - 12 + 48 = 4*s. List the prime factors of 189\/12 - 3\/s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -548, -1121, -1694, -2267, -2840?\n\"Answer: -573*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, and 1 r when three letters picked without replacement from booortboolbrbob?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22867 - 22862. Solve -3*x = a*c - 21, -11*c - 14 = -15*c - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.160470041 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:45 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 4:22 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjooorojzjojozjjo. Give prob of sequence rj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, b: 2}. Give prob of picking 1 o and 2 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 3*w + 3. Determine g(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -41. Let g = 10 - o. Sort -1\/5, g, -1\/7 in increasing order.\nAnswer: g, -1\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1631 - -1634. Solve 4*l - v = j - l, -3*j - 4*l = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**6\/30 + 57*s**5\/20 - 13*s**4\/6 - 8*s - 4. What is the third derivative of g(j) wrt j?\nAnswer: 24*j + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5589\/2592 - (-6)\/(-2) and 35\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.17 (c) -14\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164250592?\nAnswer: 2, 11, 19, 41, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 4*y + 3. Let n be r(-3). Suppose -5*u = -n*u + 20. Is (u\/10)\/((-2)\/80) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*i*o - 36*d*u + 30*i*o**3 + 2*i*o*u + 3*o**3 + 2*o*u with respect to i.\nAnswer: -d*o + 30*o**3 + 2*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2 (c) -294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/9 - 8*j**4 + 244*j**3\/9 + 392*j**2\/9 - 82*j\/3 - 320\/9 = 0.\nAnswer: -1, 1, 5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118435817 by -1.\nAnswer: 118435817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 + 9*p + 2. Suppose -2*m + 10 = 4*j, 2*j - j - 4 = -m. Let k(a) = 3*a**2 + 5*a + 1. Calculate m*s(v) - 5*k(v).\nAnswer: 6*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 18663814.\nAnswer: -3\/18663814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -45.4. Let b = 3 + g. Let c = b + -0.6. Put 5, -7, c in ascending order.\nAnswer: -7, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -106, -280 in descending order.\nAnswer: 6, -4, -106, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 848 and 10388?\nAnswer: 41552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 4*s. Suppose -4*z = 4*a - z + 6, 3*a + 4*z + 8 = s. Solve -3*x = 5*q + 30 - 11, -3*x - 3*q - 9 = a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*279.\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-63))\/((-1008)\/588)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6806 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14684*h = -14876*h - 4032 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 31*i - 1089. Let p be v(-21). Find x such that 0 - 3\/2*x**2 - 3\/4*x - 3\/4*x**p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-20) + (-3 - 60\/(-25)). Find o, given that 5\/4*o**3 - 5\/4*o + 1\/2 - m*o**4 + 1\/4*o**2 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sctvscsctct. Give prob of sequence sct.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 260403 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327665.\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 2*s - 3. Let g(w) = 2*w + 5 - 4*w + 6*w + 6*w**2. Give -3*g(d) - 5*y(d).\nAnswer: -3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133829?\nAnswer: 37, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 2, e: 4, v: 1, c: 1}. Give prob of picking 1 v and 2 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 8*v - 2*g - 70, -2*v + g + 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 59*l**2 + 3*l. Let j be d(3). Suppose -n - 3*n + 664 = 5*s, 4*s + n = j. Let m = s + -79. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Let q(h) = 6*h**3 + 6*h**3 - 2*h + w - 3. List the prime factors of q(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 - d + 8135. Let v(r) = -23*r. What is a(v(z))?\nAnswer: -2116*z**2 + 23*z + 8135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -1 + -13 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*l - 0*l - 63, -5*y - 3*l + 95 = 0. Suppose -x = -18289*i + 18286*i - 2, -5*i = -4*x + 15. Solve -27 = y*q + x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410233 + -1?\nAnswer: -410234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/2 + k\/2 - 28 = 0.\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.9 and 37.\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Suppose 3*b = 11 - 5. Let h(i) = -i**b + 6*i**2 - i**2 - 4*i. Let c(a) = -5*a**2 + 5*a. Give n*c(u) + 6*h(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 5*v = -6*z, 4*z + 3*v = -11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 3*p - 2. List the prime factors of o(6).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 12:33 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 u, and 2 t when four letters picked without replacement from tbtutpg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1053 and 1304397.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 at least as big as 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16173508 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -22 + 9\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 11.6, -23, 74, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Suppose 2*b - 38 = -3*z, -5*z - r*b = -84 + 18. What is the highest common divisor of 25 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -409 from -282.2.\nAnswer: 126.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y**3 - 70*y**2 - 2*y. Let r(m) = 6*m**3 - m**2 - m. Let z(l) = -p(l) + 2*r(l). Factor z(n).\nAnswer: 2*n**2*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/3*3\/(-2). Let t(f) = -f**3 + 3*f**2 + 4*f. Let i be t(w). Let b = 7 + i. Calculate the remainder when 19 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85861600 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccgg. Give prob of picking 4 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from gvgvvuuuuvgugguuue?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and 966.265.\nAnswer: 43481.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 34*o - 1. Let f be (1 + -3)*(-3)\/6. What are the prime factors of x(f)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnpnnnrnn. What is prob of picking 3 n?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3824 + -3823.99959734. Round l to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -474, -480, -486?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**2 + 44. Let f(g) = -31*g. Give z(f(b)).\nAnswer: -9610*b**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97133018, -194266036, -291399054, -388532072, -485665090, -582798108?\nAnswer: -679931126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -35525761?\nAnswer: -5\/35525761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -808, 11, 1 in increasing order.\nAnswer: -808, -9, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(425) + 0)**2)*4.\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26152865.\nAnswer: 5, 5230573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 185 = -845. Let s be 5 - c\/(-45)*(-6)\/(-4). Determine d, given that 0*d - 16\/9*d**s - 2\/9*d**5 + 10\/9*d**4 + 8\/9*d**2 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = 4*t, -4*t - 7 = -4*n + 5. Suppose t = 4*w + f - 593, w - 161 = 2*f + 2*f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/104)\/((3\/(-1))\/(-6)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 8*b + 16. Let v be a(2). What is the hundreds digit of v + (2582\/3 - (-2)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*w + 2*a, w - 3*a - 11 = 7. Suppose w*n + 22 + 26 = 0. Does 20 divide n\/6*(-2457)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w - 920 + 1216 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + 291\/9. Suppose -32*f = -x*f + 306. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (sqrt(98) + 1)*-6 - -2*sqrt(98)*-2.\nAnswer: 6 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, -0.2, -1\/2, -3189?\nAnswer: -3189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434884916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-19 - (11 - 13))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g**3 - 7*g**2 - 2*g + 3. Let v = 2 - -3. Let f be l(v). Let w = 2068 - f. What is w rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20102822807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + -26355?\nAnswer: -26310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikiiickikkiiiikii. What is prob of picking 1 c and 1 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8154010 divided by 1630802.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4 (c) 290 (d) -5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m. Let k(p) = -5 + 4*p**3 + p + p**3 - 4*p**3 - p**2 - 2*p**3. Let g be k(0). Sort m, g, 3 in ascending order.\nAnswer: g, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3495\/712 - 3\/89. What is the common denominator of -85\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*j + 3209 = 287619. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -27*s**2 + 2*s + 4. Suppose x = -5*g - 6, -g - 5 - 1 = -x. Let l be j(x). What is l rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4923\/19 + 259. Let w = -15.32 + 0.32. Let f = -15.5 - w. What is the closest to 2\/5 in n, -1, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*2\/(-12) + (-452)\/(-6) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -425, -679, -1007, -1421, -1933?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 + 183 + 48)*(285*p**2 - 285*p**2 + 3*p**3).\nAnswer: 1110*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.4 + -6.4. Let u = -4 + x. Let n = 21.000037 - u. What is n rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 21. Let m(s) = -s**3 + 9*s**2 - 7*s - 6. Let w be m(t). Solve 2*z = -w*u + 8 - 0, -2*u + 4*z + 14 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/2727 and 151\/3030?\nAnswer: 27270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/5*(-10)\/(-4). Let h = 4 - b. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*v - 57025, 3*v - 4*r = -0*v + 42800. Is v a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4225.2 - 4225. Which is the closest to -2\/37? (a) r (b) 11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256909901 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119145 bigger than 119149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2506 by -4.\nAnswer: 1253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.17333 and -0.2.\nAnswer: -2.834666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16652203 to the power of 1\/2, to the nearest integer?\nAnswer: 4081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -20. Suppose -2*x = x - 12. Let p(i) = -i + 1. Let l be p(x). Which is the third smallest value? (a) l (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8988229 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6502 times -0.4\nAnswer: 2600.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 462, 589, 752, 945, 1162, 1397?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**3 + 432*r**2 + 15504*r + 184960 = 0.\nAnswer: -40, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 90, -129, -634, -1539, -2958, -5005?\nAnswer: -7794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*36\/(-16)*(-4)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 5. Let u(a) = -2*a + 4. Let s(x) = -4*b(x) + 5*u(x). Let z(j) be the first derivative of -j + 1 - 2*j**2 + 3 + j. Calculate s(z(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4644 is divided by 1544.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -282d (base 16) in base 6?\nAnswer: -115341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-3)*(156\/182)\/((-20)\/56).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63263 by 63263.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*l + 96 + 467 = -223 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 4*b**2 - 2*b + 3. Let g be v(-5). Let t be (-52 + 0)*9\/g. Suppose -t = -f + 54. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:31 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82252 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/13, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-21) + (-1)\/3. Let q = 3 + r. Find the second derivative of 4*a + 19*a**q - 14*a**2 + 0*a wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230658782*m**3*t**2 + 298*m*t**2 + 9*m*t - 1371*t**2 + 2*t wrt m?\nAnswer: 1383952692*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 123. Let r(s) = -25*s**2 + 10*s. Let j(f) = 50*f**2 - 20*f. Let a(v) = m*r(v) - 4*j(v). Factor a(w).\nAnswer: 5*w*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.356145 nanometers in kilometers?\nAnswer: 0.000000000004356145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)*-1)\/sqrt(2))\/((1*sqrt(18))\/sqrt(9)) + ((sqrt(847)*-1 + -1)**2 + sqrt(847) - ((-4*(sqrt(847) + -2))**2 + sqrt(847))).\nAnswer: -12768 + 725*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-14)\/(-6))\/(88\/60) and (-3)\/(126\/(-13))*9.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let b(z) = -78*z**2 + 6*z. Determine c(b(i)).\nAnswer: -156*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*h + 2*h + 28, 0 = r - h. Determine f so that 1 + f + 8*f**3 - 9*f + 1 - 6*f**4 + r*f**2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*i + 30 = 135, i - 95 = -3*g. Let x(d) = d - 16. Let r be x(8). Is 2 a factor of (r\/(-10))\/(12\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 12*z**3)*(3 - 1 + 0)*(-4*z + 0*z + 8*z).\nAnswer: -96*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + ((sqrt(91)*-2)\/sqrt(7) + 0 - (sqrt(468)*1 + sqrt(468))*-1) + -2)**2 + 5.\nAnswer: -120*sqrt(13) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, u: 2, i: 4, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 44 = 6*i. Suppose d - 3*t = -i*d + 853, -3*d - 4*t = -506. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-222 - -222 - (-11)\/((-2)\/(-2)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920492 is divided by 760.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-3 + 14 - 6)*(5*b**4 + 12*b**4 - 5*b**4).\nAnswer: -120*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 45*h - 12. Let a(y) = -89*y + 26. Let b(i) = 6*a(i) + 13*f(i). Let z(c) = 5*c. Determine 2*b(s) - 21*z(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169070 = 69*q - 11*q. List the prime factors of q.\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -56. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254 + 254. Suppose g = 110*k - 118*k + 24. Solve 9*l - 6*l + k = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21010200 + 31?\nAnswer: 21010231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from ppwwpww?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - 4*s**5 + 3*s**5 + s**4 - 346079*s**5 + 345649*s**5 - 2*s**4 + (-2*s + s + 0*s)*(2*s**2 - 2*s**2 + s**4).\nAnswer: -432*s**5 - s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-21)*(-1008)\/(-1152))\/(3\/1020)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72227082 + -5?\nAnswer: -72227087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*i, 0 = -i + 27*g - 31*g. Let -1\/2*b**2 + 0*b + i = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1832.19621 to one dp.\nAnswer: -1832.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in -0.1, 0.86, -3, -2.1, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224854689?\nAnswer: 3, 74951563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15412 greater than or equal to 15582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 21*f - 17. Let o be h(1). Let j(u) be the third derivative of 0*u**6 + 0*u**5 + 0*u**3 + 0 - 1\/490*u**7 + 3*u**2 + 0*u + 0*u**o. Factor j(r).\nAnswer: -3*r**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 2030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6362009150602 plus 0.022?\nAnswer: 6362009150602.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -4\/3*y**4 + 0*y**2 + 0*y**3 + 2\/21*y**7 + 0*y**5 + 0 + 163*y + 2\/5*y**6. Factor w(n).\nAnswer: 4*n**2*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000155919335 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327*f*h**3 + 8*f + 2*h**3 + 155*h wrt h?\nAnswer: 1962*f*h + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 2. Let c be x(7). Suppose -30 = 2*h + 2*y, 2*y - 43 = c*h - y. Let j = h + 26. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -2) - (-89 + 95).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3 - -8) + (17 - 30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3\/5 + 81266*c**2\/5 + 487668*c\/5 = 0.\nAnswer: -6, 0, 40639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3\/3 - 2*v**2 - v - 3. Let n(r) be the third derivative of r**5\/60 + 7*r**4\/24 + r**3\/2 + 557*r**2. Give 3*n(i) + 5*u(i).\nAnswer: -2*i**2 + i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 4*g + 10032. Is 47 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 675317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/15 + (-1)\/3)*(-839 - -444) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let m be v(-5). Let j be 4*(0 - 11\/m). Let d = j + 14. Solve d*q + 2*q = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*m**2 - 10*m**2 - 3*m**2)*(m - 5*m - m)*((2 - 2 - 2)*(-2*m**2 - 4*m**2 + 4*m**2) + 2*m**2 - 6*m + 2 + 6*m).\nAnswer: -60*m**5 - 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 11:20 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -3, 11 in descending order.\nAnswer: 96, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 10*m**2 + 3*m + 3. Give b(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181825 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-190)\/(-100))\/(-1)*-15*1\/(-24). Do 1\/12 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -479, -604, -735?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/17, -1, 2, 3\/2, 1661, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.315 - -0.315. Let q = u + 29. Sort -4, q, 3.5 in decreasing order.\nAnswer: q, 3.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 91, -0.1, -1\/18, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23271, -23296, -23321, -23346, -23371, -23396?\nAnswer: -23421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 27*m - 3. Suppose -11 + 3 = -2*d. Calculate the remainder when q(3) is divided by (8*3 - -2) + 4\/d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 23\/6*t**3 + 0 + 0*t - 7\/24*t**4 - 21*t**2 - 17\/15*t**5. Let n be x(-7). What is n rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11068812 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 21. Let a(m) = -364*m + 1. Is a(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 696 + -630. Which is smaller: 65 or j?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62\/3 + -20. Which is the second smallest value? (a) m (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(6\/7))\/(d\/(d\/d**16)) assuming d is positive.\nAnswer: d**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2216882 - 2221250 = 42*m for m.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5358 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 394 and 149917.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 - -1.1. Suppose -4*r = 4*a + 8, -2*r - r = 2*a + 3. What is the closest to h in r, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**2 + 115*u - 1150. Give m(9).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 880517987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -238 + 641. Let z = w + -239. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-213)\/6)\/(10\/5020) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = 0, 4*i + 16 = 5*i - 2*p. Suppose -l + 8 = -i. Solve 2*d - m + 11 = 0, -4*m + l = -2*d - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s*s\/(s*s\/(s**12*s)*s)*s)\/(((s\/(s*s**(-14))*s)\/s*s)\/(s\/s**(-7\/4))) assuming s is positive.\nAnswer: s**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/55 (b) -2\/7 (c) 1 (d) 1327 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/3 - (-2)\/6. Let a = x + 10. Calculate the least common multiple of a and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 - 6*c - 37*c + 3*c**2 - 51*c.\nAnswer: 14*c**2 - 94*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.0533.\nAnswer: 0.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -34*g. Let i(u) = -4*u - 191. Calculate z(i(c)).\nAnswer: 136*c + 6494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -1\/189 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Let u(x) = 14 + x**c + 12*x - 10 + 12. What is the tens digit of u(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2164*n**3*r**3 - 12*n**3*r + 2*n**3 - 117*n**2*r**3 - n*r - 484*n + 3*r wrt r.\nAnswer: -12984*n**3*r - 702*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*b - 839 - 28429 = 0, 0 = 4*g + 2*b - 116982. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173 + 175. Find the third derivative of -30*d**2 + 2 - d**6 + 25*d**4 - 23*d**k + 56*d**2 wrt d.\nAnswer: -120*d**3 + 600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1148*r**2 + 112*r + 112. Let h(s) = 0*s - 3*s + 8*s + 51*s**2 + 5. Let o(y) = -112*h(y) + 5*l(y). Let d(c) = -2*c. What is d(o(i))?\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 198 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 8, -25, -94, -211?\n\"Answer: -2*s**3 + 5*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 - 4*g. Suppose 4*u - 186 = 2*w, -15*u - 171 = -19*u + 5*w. Let k(a) = 84*a**2 + 49*a. Determine u*x(s) + 4*k(s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3411062605 to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-20) + (-26)\/(-8). Suppose 4*t + v - 3 = 0. Solve l + p - 8 = t, 5*p + 6 = -2*l + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -568\/3 - -189. Let c = 387\/35 - 11. What is the smallest value in -2\/11, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**4 + 178035*s**3 - 267039*s**2 - 3*s + 89013 = 0 for s.\nAnswer: -1\/2, 1, 29671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1605324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77 - -120) + -31 - -79.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55237 is divided by 18411.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*c - 514 = -24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.37401 months in decades?\nAnswer: 1.75311675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*t - 18, -3 = -4*c - 5*t + 6*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4\/2 - 5*u**3\/2 + u**2\/2 + 21*u\/2 - 9 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2301*v**3 + 1\/5*v**5 + 1232274\/5*v + 183\/5*v**4 + 0 + 268037\/5*v**2.\nAnswer: v*(v + 6)*(v + 59)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -98*l**3 + l**2 + 2*l + 1. What is z(-1)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*q**3 - 108*q - 6*q**5 + 0*q**5 - 16*q**3 + 25*q**5 wrt q?\nAnswer: 380*q**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/27 >= 273233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -529, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -926 + 2421. Let p = x - 1491.5085. Let b = p - 0.0815. Round b to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000895331864 rounded to six dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9601 and 27677.\nAnswer: 26572.6877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2 - 2*n + 36*n**2 + 3*n + 2. What is the units digit of r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 207935130.\nAnswer: 1\/69311710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-15) - (1 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -5 - 0)\/1. Suppose 4*t = o*t - 28. Is t\/2*1\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let d(z) = -68*z + 58*z**2 + 68*z + 213*z**2. What is d(t(o))?\nAnswer: 1084*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:37 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -39*t - 2. Let o(u) = -77*u - 4. Let d = 8103 - 8096. What is d*w(y) - 3*o(y)?\nAnswer: -42*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 19 = 4*h, -7*h = -2*o - 3*h + 14. Let x = 7 - 3. Suppose -x*j - 3 + 15 = 0. What is the remainder when o is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-2)\/(-14)*7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))**(3\/5))**(-9\/14) assuming p is positive.\nAnswer: p**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -474b5 - -c?\nAnswer: -474a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 6*l)*(3 - 1 + 10)*(0 + 0 - 1)*(5*l - 3*l + 0*l).\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24342 + -44?\nAnswer: -24386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91.8, 0, 1812, 0.5.\nAnswer: 0, 0.5, 91.8, 1812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*o = -78*o - 22751 - 1089316. List the prime factors of o.\nAnswer: 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:29 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/3, 15, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -9. Which is the smallest value? (a) -15\/7 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 3*w - 4*w + 8*w in the form g + j*w and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.6696872 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6089, 6097, 6105, 6113, 6121, 6129?\n\"Answer: 8*u + 6081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*c - 93*c + 178*c - 1526*c**2.\nAnswer: -1526*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/65*1)\/(442\/1105).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 178\/30 - 2\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*p - 5*g + 40, 2*p = 3*g + 54. Suppose -p = 2*u - 3*u. What is the remainder when 57 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 11. Suppose 5*o - v = -2*g - 6, o + 1 = -g. What is the second derivative of 2*z + 5*z**5 + g*z + z - z**5 wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6066 - 6066.56248. Let r = h - 1.0378. Let m = r + 1.6. Round m to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 4*i + 29. Let w be m(8). Let q be 4\/6 - 145\/60. Is w equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.67 + 5.27. Let o = -0.6 + q. What is the closest to -5 in o, 2\/13, 4\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5405\/884 + 30\/221. Find the common denominator of w and -3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 63. Let j be l(-8). Factor 102*n**2 - j*n**3 + 10*n**4 + 155*n**3 - 8 + 40*n + 4*n**4.\nAnswer: 2*(n + 1)*(n + 2)**2*(7*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4842?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 2*j. Let n(k) = 2*k**2 - 3*k - 153. Let l be n(-8). Let w(v) = -v. What is l*h(u) - 3*w(u)?\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + ((-875)\/(-20))\/5. Let a(y) = 195*y**3 + 5*y + 5*y**2 + y**2 - c + 8*y - 196*y**3. Does 29 divide a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 1 - 2*r + 12 - 2*r. Give v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j + 465 = -4*o, -o + 5*j = 129. Let w = -32 - o. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 2, x: 4, s: 1, g: 7}. What is prob of sequence png?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110407 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.7650602 rounded to zero decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from {o: 4, m: 4, s: 5, g: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(4\/23)*(b**(-1\/3))**(-44) assuming b is positive.\nAnswer: b**(1036\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/227849 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, -4167 in ascending order.\nAnswer: -4167, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/9)*j)**(-1))**(-5\/11)*(j**(3\/4)\/(j\/j**(-7)*j*j))\/(j**(-2\/39)\/(j\/j**7)) assuming j is positive.\nAnswer: j**(-74863\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 5*f**2 + 7*f + 4. Let q(o) = -o**3 - 5*o**2 - 4*o. Let s be q(-3). Calculate a(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274872199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14804 divided by -4?\nAnswer: -3701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 19497*r + 1292832.\nAnswer: 3*(r - 6432)*(r - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/3, 0.2, -0.06, 4, 18 in decreasing order.\nAnswer: 18, 5, 4, 4\/3, 0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 52*c + 1. Let s(q) = -103*q - 2. Give 4*s(a) + 7*z(a).\nAnswer: -48*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 39 = 5*g - 17480, y - 4*g = 8740. List the prime factors of y.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 210701?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318.766ml in litres?\nAnswer: 4.318766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*x**5 + 3*x**3 - 17997*x**2 - 12233939*x wrt x?\nAnswer: 380*x**3 + 18*x - 35994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**3 + 2*u**2 - 3*u + 2. Let z(w) = -31*w + 128. Let m be z(4). Let h be 7 - (2 - m\/(-1)). What is l(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5633 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let a(f) be the first derivative of 759*f**2 + 237. Determine a(l(c)).\nAnswer: 3036*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11726 is divided by 2921?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -31*u**3 - 7*u**2 - 2*u + 25. Let o(y) = -17*y**3 - 3*y**2 - y + 11. Give 11*o(c) - 6*w(c).\nAnswer: -c**3 + 9*c**2 + c - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 16 = 10*c. Suppose c*s + 2 = -0*s. List the prime factors of 1\/s*-3 + 61.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 22*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.59961s in hours?\nAnswer: 0.089333225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514, -4162, -14062, -33340, -65122?\nAnswer: -112534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9830*g**2 - 9*g - 40*g + 9819*g**2 to the form x*g + p*g**2 + s and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3\/10 (c) -6996 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203 (base 4) to base 12.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 36 = -0*w. Let i(u) = -u**3 + 13*u**2 + 12*u. Let m be i(14). Let g = w - m. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 8342990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421\/6 + -70. Solve 1\/3 - 1\/6*h**4 - s*h**2 - 1\/2*h**3 + 1\/2*h = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.02, 2091, -4 in increasing order.\nAnswer: -4, 0.02, 0.2, 2091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*b*k*m**2 + 2*b*k*m*r + 33*b*k*r + 4*b*r - k*r - 2*k + 87*m**2*r wrt m.\nAnswer: -80*b*k*m + 2*b*k*r + 174*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 39*z + 305. Let y be u(28). Suppose -40*o - 8 = -41*o. Sort o, -15, y in descending order.\nAnswer: o, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 13\/2027?\nAnswer: 13\/2027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by -747879?\nAnswer: -130\/747879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*x - 56*x + 54 = 524. Let s(f) = f. Let i(j) = -j + 1. Let b(w) = -7*i(w) - 6*s(w). Let r be b(8). What is the greatest common divisor of x and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/27 + (-40)\/18. What are the prime factors of 2\/(b\/9)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5031*f - 1459003. Determine v(290).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Is y less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 7 - (131 + -140).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3900)\/600*(-4)\/533?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmy when three letters picked without replacement from yxmyxyyyx?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -708, -710, -712, -714?\n\"Answer: -2*g - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-28)*2*-1)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 124440003043?\nAnswer: -124440003044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*f - 2*c, 4*f + 11075 = -5*c + 11065 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 200215221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69517, -140394, -211271?\nAnswer: -282148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -493*w**2 - 153*w + 153. Let k(o) = -13*o**2 + 8. Let z(m) = 13*m**2 - m - 9. Let s(p) = -5*k(p) - 4*z(p). Give 4*i(v) + 153*s(v).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 211 in descending order.\nAnswer: 211, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 5, t: 1, r: 1, s: 1}. Give prob of sequence mrs.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 6*m + 12, 10*m = 3*t + 9*m + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -742615 and 8427.\nAnswer: -734188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41340 (b) -6 (c) -0.94 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/30 - (-2)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 3:52 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 4*v - 2*v. Let k = 389 - v. Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - c + 4*c - 925, -3*c - 15 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003409 to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 4:24 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(55) - sqrt(55)*-1))\/(1*sqrt(80)) + (sqrt(1100)*3 - sqrt(110)\/(sqrt(10) - -2*sqrt(10))).\nAnswer: 163*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Suppose 4*o + t = -8. Let g be (2\/(-4))\/(o\/42). Calculate the highest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**2 - 5*n**2 - 11*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10776 - 21141\/2. Which is greater: 207 or o?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*((q**8\/q)\/q)\/q*q\/(q\/(q\/q**(-3))*q)*q*q**(-4\/11)*((q*q**(-1\/21))\/(q**(-7)\/q))**(1\/8) assuming q is positive.\nAnswer: q**(7741\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (15\/25)\/((-8)\/(-3320)) is divided by 129.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Let d = k - 2. Suppose -4*i - d = -5. Solve -3*r = 2*a + 2, -r - i = -3*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 285 = 5*a, a + 154 = 4*a - 5*w for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57744221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 16*b**3\/3 + 1218. Suppose 5*t = 4*a - 4, 2*t - 1 = -4*a + 3. Let k(q) = t + 0 + 2*q. Calculate k(j(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412181 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) + 2 - sqrt(153)) + sqrt(153))**2 - -2*sqrt(153)*1 - (2 + sqrt(1700)*4*-3).\nAnswer: 215 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12152872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by 2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/8)*(j*((j*j*j\/j**16*j)\/j)\/j)\/j)\/(j**(1\/4)\/j*j*j**(-5\/8)\/j) assuming j is positive.\nAnswer: j**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-8)*(k*k**(1\/21))\/k)\/(k**5*k**(-20)) assuming k is positive.\nAnswer: k**(505\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 4657*u**7\/42 - 1667*u**3\/6 + 3483*u. Find the second derivative of t(m) wrt m.\nAnswer: 93140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4764 - -4766.3. What is the nearest to 1 in 1\/11, -7, s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227427 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 + 58. Let x(u) be the second derivative of 2*u**3\/3 - 12*u + 72. Determine x(j(v)).\nAnswer: -16*v**2 + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/7*(-581)\/(-498). Let q = -1.4 + 4.3. Let v = q - 1.9. Which is the closest to -1\/2? (a) z (b) 3\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-16)\/f*f**(-1\/7)*(f*f**(4\/15)*f)\/(f*f**(3\/2)*f) assuming f is positive.\nAnswer: f**(-3859\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/35*(-55)\/(-50)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -160793?\nAnswer: -160793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53640*z - 53294*z + 107863*z.\nAnswer: 929*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -3\/7, -3, -0.013, -5?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(11\/2)\/((y*y**(3\/4)*y)\/(y\/((y**(-3\/5)*y)\/y))) assuming y is positive.\nAnswer: y**(151\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 - 356 - 436 + 825 + 3*r to the form v + n*r + o*r**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/2, -0.1, -56?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -472, -0.4, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/2 - 2*y**3 - 3*y**2\/2 + 5*y + 973. Calculate j(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4eed3c (base 15) to base 4\nAnswer: -32132320002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9491000 rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0 - 1 - x - 2. What is the units digit of a(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - i**2 - 92*i + 22. Let j be s(10). Which is the third smallest value? (a) -2 (b) j (c) -0.5 (d) -5\/3 (e) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(1833\/(-884))\/(-47)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*sqrt(3) + -3.\nAnswer: -3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 2*a**2 - 6. Let d be o(3). Let j(t) = -t + 3 + 89*t**2 - 6*t - d + 6*t. Let q(h) = -h. What is j(q(y))?\nAnswer: 89*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34674, 276865, 934244, 2214405, 4324942, 7473449, 11867520, 17714749?\n\"Answer: 34599*l**3 - 2*l + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*u = 0. Let w be ((-2)\/5)\/(9\/(-720)). Is u greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 h when three letters picked without replacement from hhodjhhojxoxohdjxh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 32*q - 55 + 16*q + 197*q**2 - 176*q**2. What are the prime factors of f(-21)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Suppose q*k - 181 - 109 = 0. Is k a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**6 + 114*o**5 + 39*o**2 - 19*o + 1?\nAnswer: -600*o**3 + 6840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -199633.\nAnswer: -10\/199633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.57249?\nAnswer: -10.71747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 7*n + 8*n - 3)*(3 - 15 - 4).\nAnswer: -16*n + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**5\/30 - a**3\/3 + a**2 - 3. Let u(h) be the second derivative of v(h). What is the derivative of u(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0*r - 5*r + 4*r. Let x(z) be the second derivative of -z**5\/4 - 12*z**2 + 20*z. Let h(j) be the first derivative of x(j). Calculate u(h(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7 - 3*p + 27*p + 9. Let t(c) = c + 1. Let a(o) = -16*t(o) + x(o). Calculate a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 49*n - 94*n - 22 + 4*n + 14 + 197*n.\nAnswer: 58*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28999, -29397, -29821, -30283, -30795, -31369, -32017?\nAnswer: -32751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + 1.17. Suppose -5*r + 25 = -3*n + 9, 2*r - n = 6. Put h, r, 0.1 in descending order.\nAnswer: r, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8793.302 millilitres to litres.\nAnswer: 8.793302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 2089403*f\/4.\nAnswer: f*(f - 2089403)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h**2 - h - 4. Let s be q(-7). Suppose s = l - 0. Let t = 6 - -5. What is the smallest common multiple of l and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-40)\/(-6)) - 70\/(-8). Differentiate -v*w**2 - 90 + 83 + w - 2*w wrt w.\nAnswer: -16*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*u - 78, 14*u - 2*u = 17*u + 2*q + 99 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -53, -134, -251, -404, -593?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -13) + -15 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 476657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 110, 370, 870, 1688, 2902?\n\"Answer: 13*q**3 + 3*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 4*l + 4. Let k be u(6). Let q = k + 12. Let z = 164 - 155. Sort -1, q, z in descending order.\nAnswer: z, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i - 3*i**2 - 6 + 6*i**2 - i**2. Suppose 2 = -2*c - 10. Calculate the remainder when g(c) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477 (base 9) in base 13?\nAnswer: ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494109 and 3593520.\nAnswer: 39528720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 6*d + 3. Let j be l(4). Let s(z) = -z**3 + 12*z**2 - 9*z - 7. Let y be s(j). Let w(v) = v**3 - 15*v**2 + 14. What is the tens digit of w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 12. Suppose -r = 2*d + 5*m, 34 = 3*d + 2*d - m. Calculate the least common multiple of d and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**5\/60 - p**4\/24 - 3*p**3\/2 + p**2. Let v be j(7). What is the units digit of (-2 - v\/6)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*m - 26, 4*z - 3*m = -95 + 61 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1796 - 1700. Calculate the remainder when 190 is divided by b.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 16*v - 12*v - 5 = 0, -3*b - 4*v - 35 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 4*i - 7. What is d(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13789527 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 1085 = 6499. What are the prime factors of n\/(-1 - 5)*13?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:32 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -369 (b) 14 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -550\/3 - -179. Let b = 47\/45 + -341\/180. Let f = 163\/380 + b. What is the common denominator of a and f?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 11*t**2 - 81*t + 21. Let m be n(16). Let f(h) = -14*h - 2. Let z(b) = -15*b - 3. Give m*f(i) - 4*z(i).\nAnswer: -10*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**3 - x**4 - 3*x**3)*(3 - 4 + 2) - 6*x**4 - 2*x**2 + 2*x**2 - x**4 - 3 + 3 to f + p*x**3 + n*x**4 + h*x + d*x**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let c(z) = 8*z**2 - 9*z**2 + 16*z**2. Calculate s(c(k)).\nAnswer: 225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -0*o, 2*w = -5*o - 449755. What is w rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 1, g: 6, o: 4, w: 2}. What is prob of picking 1 w, 1 o, and 1 f?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*v = 54*v + 247*v - 7760 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*x - 351*x + 6*p = 356*x - 1051*x - 12, -11*x - 4*p + 9*p = 75 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81513163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 218, 232, 262, 314, 394, 508, 662, 862?\n\"Answer: n**3 + 2*n**2 + n + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 18 = -5*g. Let p = g - -15. What is the biggest value in 2, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74694011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 - 19216*n**3 - 54*n + 92 wrt n?\nAnswer: -12*n**2 - 115296*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0, -32515, -9, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*s**2 - 1170*b**2*v**3 + b*s*v**3 - 5*b*s - 5*b*v**2 - b + 4*s**2*v**2 wrt b.\nAnswer: 4*s**2 - 2340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 33. Let r = -78\/7 + d. Let m = -0.09 + 0.19. Which is the closest to 1? (a) m (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 = -9*l, 1965*l - 983*l - 977*l = -4*u - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 o when three letters picked without replacement from nnnvumvonuqunuqqnmq?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 71. Let c = u - 1. Suppose 0*b + 3*b = -4*k - 13, c*k - b + 40 = 0. Let v(t) = -t**2 - 6*t - 4. Give v(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6350057\/738912 - 1\/23091. Let c = u - 2465\/352. Calculate the common denominator of c and -39\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1475 (base 8) to base 7.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:32 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 divided by -3?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 1. Let t be (-6)\/8 + 19\/4. Let h be g(t). Suppose 0 = -3*v + 4*a + 19, v - 7*a = -3*a + 9. Solve 5*u + h = q + 1, -v*u = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**5 + 4*t**4 - 13*t - 4. Let a(o) = -o**5 - 5*o**4 + 14*o + 5. Let l(x) = -4*a(x) - 5*d(x). What is the second derivative of l(p) wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**4 + 0*m**4 + 2*m**4 + (-1 + m + 1)*(-2*m**3 - 4*m**3 + 4*m**3) + m**4 - 2*m**4 - 6*m**4 as d*m**2 + c + s*m**4 + g*m + r*m**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*y + 185, -6*o - 175 = -7*o - 5*y. Suppose o*s = 187*s - 5390. What are the prime factors of s?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -24*n**2 - 7*n. Let r(h) = -7*h**2 - 2*h. Let q(c) = 7*r(c) - 2*t(c). Let a(k) = 33*k - 5. Calculate q(a(j)).\nAnswer: -1089*j**2 + 330*j - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 22 - 5. Which is the closest to 1? (a) -0.5 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t*t*t)**(8\/15)\/(t*t**(1\/4))**(19\/4)*(t\/t**(-5)*(t**(4\/3)*t)\/t)\/(t**(2\/5)\/(t*t*t**3)) assuming t is positive.\nAnswer: t**(1951\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((4 - 3) + (0 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**4 + 2*t**4 + 34*t**4)*(-3 + 3 - t).\nAnswer: -44*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-12)\/(-700)*45\/(-18)*(-34)\/(-17)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/70)\/((-2)\/(-5)). Let i(k) = k**2 - 4*k**a - k**3 - 4*k**2 + 6 - 2 - 8*k. Calculate the remainder when i(-7) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -232, -227, -220, -211?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 170422 = 2*g + 95018, 5*g = -5*r + 663600. What is r rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from ttzwzztz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 17857686?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -730 - -734. Suppose 0 = -5*o - 4*z + 41, -6*z + z = s*o - 40. Solve -5*u = o, -3*l - 5*u = 6 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 7}. What is prob of picking 4 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18031951?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 51*p - 4. Let m(d) = -434*d + 35. Give 42*l(z) + 5*m(z).\nAnswer: -28*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*u**2 + 321*u wrt u?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose l = -0*u - u. Suppose 3*r = -5*q + 134, -q = 3*r - u*q - 142. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mhmhhmhhhymhhh.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 43*t**2 - 92*t + 93. Calculate l(45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.34?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x + 3. Let p be h(4). Let r = -3 - p. Let a = 4 + r. Solve a = i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12, 0.5, -3, 4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -150 in 18\/11, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1.554.\nAnswer: -7.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002021 + 23021?\nAnswer: 1031102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*l*r**6 - 34*l*r**3 + 87*l*r**2 - 3*l wrt r.\nAnswer: -7200*l*r**3 - 204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + p - 1. Let n(r) = -15*r**2 - r + 4. Let g be n(-2). Let o = g + 54. What is w(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 1. Suppose -5*u = 2*t - 3, -1 = 2*t - 3*u + 4*u. Give p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 7*k + 0*k)*(-2*k - 2*k + 3*k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 0*l**2 + 3*l**3 - 35 + l**4 + 37 - 3*l**4 to the form j*l**2 + v + a*l**4 + u*l**3 + p*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 93. Let r = z + 48.58. Let u = -0.98 + r. Which is the second biggest value? (a) 4 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 1:00 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 397455*d**3 + 2*d**2 - 639270*d wrt d.\nAnswer: 2384730*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d**3 + 4*d**2 - 994*d - 4*d**2 + 994*d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 2. Let o be h(2). Suppose 9*x - o*x - 95 = 0. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000079468 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27042592 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 1 + 4 + 1 - -9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -468, -732, -1016, -1326, -1668, -2048, -2472?\nAnswer: -2946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 335 - 559. Let o = q - -392. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/204*-2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 - 49218*f\/5 - 660419.\nAnswer: (f - 49285)*(f + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b4 (base 13) to base 14.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*((-1241)\/(-6))\/(-17).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1734 - 1656. What is the remainder when 215 is divided by x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10842407 less than -3.481?\nAnswer: -10842410.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*v - 1910, 1523 = -0*v + 4*v - 3*h. Suppose -37 = 5*m - v. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6935092 take away -0.1622?\nAnswer: -6935091.8378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4239 and -325542.\nAnswer: 1379972538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from mumm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 16. Which is bigger: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 79621.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12*o**2. Let y(b) be the third derivative of b**5\/15 + b**3\/3 - 59*b**2. Determine y(s(d)).\nAnswer: 576*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -82667 divided by -27?\nAnswer: 82667\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 + 117*u**3 + 223*u**2 - 801*u + 460 = 0. What is u?\nAnswer: -115, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 35. Let l be i - (-1)\/((-4)\/(-2)). Let p = 23\/50 + -3\/50. What is the second biggest value in 3, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 5, c: 3}. Give prob of picking 1 h and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = z - 52. Let m(p) = 15*p**2 + p + 19. Calculate the remainder when m(z) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 8*o**2 - 4*o - 11. What is the remainder when d(-8) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 18 = -2*c + 1, -3*d = -c + 37. Let v = -7 - d. Solve v*l = -5 + 13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/5)*u)**(-6)*u**(-13\/5)*u*u*u*((u\/u**(-8\/11))\/u)\/u)**(-1\/24) assuming u is positive.\nAnswer: u**(91\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6) - 2\/(-4). Suppose -l + 2399988 = 5*u + 3*l, -r*u + 960012 = -4*l. Round u to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -12 - 29) + (-5 - -9)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 3*t + t - 1 - 1. Give p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 417.694 to the nearest integer.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76903 is divided by 882.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21469 or 21470?\nAnswer: 21469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4125*f**2 + f - 4. Let z be g(4). Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 132\/(-11))\/(27\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 r, and 1 g when four letters picked without replacement from {b: 1, j: 1, g: 1, r: 3, c: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {c: 2, o: 3, q: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaaisaqikiiqkqsoqaii. What is prob of sequence qsas?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 12*o - 22. Determine l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25394596 and 764?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (3 - (99 - 0))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -474 + 473.6. What is the nearest to 1.9 in -1\/5, -1\/2, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1238517 to 3 decimal places.\nAnswer: 5.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 - g**2 - 4*g + 3. Let r be a(2). Let c = 414 + r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 220 = -0 + 160. Let a = 19900 + -477505\/24. Calculate the common denominator of a and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*c = -27*c - 1998. Solve 5*l - 6 = 9*l - 2*w, 5*l + c = -4*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6201*i - 12271786. Determine c(-1979).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3*v + 5*v)*(6*v - 2*v - 2*v + (-3*v + 2*v + 2*v)*(-4 + 3 - 4)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2)\/b*b**5\/b*(b**(2\/7))**(-1\/8)*(b**(1\/4))**(-1\/7)*b**(1\/9)\/(b\/((b**(-1\/5)\/b)\/b)) assuming b is positive.\nAnswer: b**(-731\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/318 and 46\/7089.\nAnswer: 751434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 12, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189286535 and 1780.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(125) + -2)**2 + -2).\nAnswer: -254 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2341442 (base 5) to base 8.\nAnswer: -124554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u + 45*u - 6*u - 887 - 6*u - 12*u.\nAnswer: 2*u - 887","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9297, 18184, 27071, 35958, 44845?\nAnswer: 53732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17162 + -2?\nAnswer: 17160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 125, 141, 157, 173, 189?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 336748 - 174435537\/518. Find the common denominator of r and 43\/16.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1282198329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 414 and 53 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9194)\/(-14) + 8\/28 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 39.8. Let g = 0.02 + -0.01. Let n = 2.99 - -0.01. Which is the second smallest value? (a) q (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 1. Let i(u) = -5*u - 9. Let o(v) = i(v) - 4*p(v). Let q be o(-8). Suppose q*m = -4*n + 23 + 22, 58 = 5*m + n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-105) - (16\/(-10))\/1. Suppose 0*k - 2*h = -5*k + 6, -6 = -v*k - h. Solve -k*f = 5*w, 5*w + 5 = -3*f + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24a (base 11) to base 15\nAnswer: -14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 303996 and 6?\nAnswer: 303996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -9*c + 65. Suppose c*j + 2*a = -36, a + 3 = j + 13. Is j <= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -2189, -5009, -8881, -13799?\nAnswer: -19757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 162 = 2421*u - 2433*u, 0 = 2*m + 4*u - 60 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509193 is divided by 10825?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-2\/13)\/t)\/t)\/t)\/t**(-6\/11))**47 assuming t is positive.\nAnswer: t**(-10810\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 340206599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:14 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 6*w - 6. Let j be s(5). Which is greater: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 275 = 5*i, 5*i - 2*i = t + 165. Suppose k = -12 + i. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 14*i + 160. Calculate the least common multiple of i and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220185 and 420?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, p: 2, q: 3, f: 2, d: 1}. Give prob of sequence pp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5198665 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**2 - x + 2. Let g(o) = o - 1. Let u(v) = 3 - 3*v + 0 + v. Let y(s) = 12*g(s) + 3*u(s). Calculate 17*b(t) - 6*y(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 64 - 71 - 11*n**3.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9*(-60)\/25*590. Suppose -22 = -19*i + q. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11 = -1. Suppose 2*d = -d - 2*m + 4, -5*d = -b*m - 12. What is the remainder when 375\/10 - d\/4 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -28. Solve -2*f - s = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 1\/6*x**3 + 0 - x + 0*x**2. Let p(j) = 3*j. Give h(p(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 2, u: 2, t: 1, b: 1}. What is prob of sequence tpb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*x - 5*o, -3*x - 2*o + 7 = -3*o. Let n(d) = d - 5. Let c be n(6). Let k(g) = g - x*g - g + c - 5. What is k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 45*a - 16. Let p be z(-12). Suppose p*b - 901 - 359 = 0. Calculate the remainder when 187 is divided by b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -62, -101, -156, -227, -314?\n\"Answer: -8*l**2 + l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1599 + -118?\nAnswer: -117.8401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001015 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27580 + 89 - (2 - (-14)\/(-2)).\nAnswer: 2, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100 (base 2) in base 14?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-9)*6\/5. Suppose -r*n + 39 = 31. Solve n*j + 3 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, 3, 4.7, -0.4?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Suppose 3*w + o = -11. Let u = -2 - w. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 26\/5 + 2. Determine l so that -18\/5*l**2 + 0 + 18\/5*l**4 + 6\/5*l - h*l**3 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -21 = -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 109?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 10:32 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 1. Let h(n) = n**3 - n - 4. Let j(k) = -k**3 + 3*k**2 + 5*k - 15. Let p be j(2). Give p*h(w) - 2*g(w).\nAnswer: w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/68*(43 + -45)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121021221 + -200?\nAnswer: 10121021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 202100\/1935 - 5*182\/(-585)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + -5*-2*sqrt(156))\/sqrt(12) - (-1 + sqrt(208) - (1 + sqrt(1053) - sqrt(1053))))*-5.\nAnswer: -40*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 32 = 10. Let m(y) be the third derivative of 1\/60*y**5 + 0*y**3 - 1\/40*y**h - y**2 + 0*y**4 + 0 + 0*y. What is the third derivative of m(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) - sqrt(81)) + 1.\nAnswer: -sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.36 - -1.64. Which is the closest to -1? (a) -3\/8 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-2)\/(-7)) + 303 + -292)\/78?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 3, -1, 1 in increasing order.\nAnswer: -32, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 16*s**2 + 47*s + 16. Let c be x(12). Let j(p) = 77*p - 12. What are the prime factors of j(c)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -2.8. Let r be (-1)\/63*-14 - (7\/(-45))\/(-7). Put r, n, 3\/4 in increasing order.\nAnswer: r, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 10*h + 10. Let v(r) = 917589 - 917588 - 26*r + 27*r. Suppose 3*m = -5*g + 3*g - 46, 3*m = 0. Let x = g + 33. Determine x*v(z) - p(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.89 times -16015?\nAnswer: 174403.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 337220689199?\nAnswer: -337220689198.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86999, 348007, 783021, 1392041, 2175067, 3132099?\nAnswer: 4263137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-264)\/18*(-6 - 375\/(-50))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16502606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhndhqddubqhnuh. What is prob of sequence ndq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100110111 + -101011001?\nAnswer: 1110111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21746, 87146, 196192, 348884, 545222?\nAnswer: 785206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -45189*p + 768204. Give u(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48897 and 37.\nAnswer: 1809189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 65 = 5. Solve -2*u - d = 5*f, -2*u + 8 = 2*u + 3*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108920.\nAnswer: 2, 5, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - o - 320 = -5*o, -3*t + 192 = -4*o. Suppose 5*v - 50 = -5*g, -t - 36 = -5*g + 5*v. Calculate the greatest common factor of g and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 362, 843, 1528, 2423, 3534, 4867, 6428?\nAnswer: 8223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -2. Suppose 5*v + 4 - n = -5*i, -2*i - 3 = -5*v. Suppose 5*w + 2*m + v = 0, -2*w - 7 = -3*w + 2*m. Solve 0 = -3*o - w - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 24096062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98069.\nAnswer: 281, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995103 is divided by 6411.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/3)\/h)\/h)**(5\/9)*h**(-1\/2)*h**3)**36 assuming h is positive.\nAnswer: h**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28314 - 11293. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-63) - ((-293)\/3 - -1). Suppose -3*x = -3*c + 150, 4*c - n - 132 = -3*x. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12489.\nAnswer: 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 383?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upcpggcwj. Give prob of sequence jpwu.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -69 + 39 - -35?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-172)\/(-10))\/((-22)\/77 + (-240)\/(-350)). Solve 4*i + 19 = p for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69824 = 446*i + 16792 - 44246 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -37*y - 445. Give j(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + r - 2 = 0, 53*b + 2*r + 0*r + 48 = 3*r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:31 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhhuzhzbbhbhh. What is prob of sequence zz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1478648 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2319c67 (base 14) to base 11\nAnswer: -94a2644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = 4*b + 1, -y - 2 = 3*b. List the prime factors of -3 + 13*(5 + b) - 2.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-410)\/(-123)*(-3 + (-333)\/(-105)). Factor -4\/7 + 2\/7*c**3 - 2\/7*c + t*c**2.\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*j**5 + 25*j**3 - 57*j**2 - j + 67595.\nAnswer: -720*j**3 + 150*j - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-126)\/(-168))\/((-6)\/(-56)). Let n(i) = 2*i**2 - 5*i. Let t(d) = -d**2 + 2*d. Give b*t(v) + 3*n(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 120, 175, 230?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722432 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 28 = -5*r + 40, -2*p = r - 16. Suppose 3*i - r = -5. Let n(s) = i*s**2 + s**3 - 2*s + 0*s - 3 - 4*s. Determine n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(-2*sqrt(704) - sqrt(704)) - (4*sqrt(33)*1)\/sqrt(3)))*-5.\nAnswer: 25 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 9 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1\/2, 0, 103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c**3 + 0*c - 2\/3*c**4 + 0*c**2 + 0 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*o + 18 = 3*z - 128*o, -3*z = 5*o - 26. Solve 3*a + 5*k = -27, -5*k - 1 - z = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*z + 525*z - 110 = -326 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28))**2 + 5 + 1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*u + 18*u**2 - 16*u**2 + 144*u.\nAnswer: 2*u**2 - 243*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*x + 130 - 73 - 69 = 65, 3*x - 48 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*w + 2*a, -w + 4 = a - 1. Let r(t) = t - 3. What is the lowest common multiple of w and r(14)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 6*f**2 - 25. Suppose 0 = -2*d - 3*l + 4 + 16, -d = 4*l - 15. What is the common denominator of c(d) and (-19)\/12*15\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4753 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**6 + 365809*c**5 + 192*c**2 + 5568?\nAnswer: -240*c**3 + 21948540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-177)\/(-531))\/(1\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690824904.\nAnswer: 2, 3, 13, 23, 173, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.6 + -7.4. Let d = -8 - n. Let o = -5\/2 - -3. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 - -256. Suppose 25 = -3*i + v. Calculate the remainder when 63 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 22. Calculate the remainder when (-36)\/(-5)*b\/(-3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*t = 4*a - 53, -5*t - 29 = -a. Suppose 0 = 4*g - a - 16. Let m = -6 + g. Solve m*z + 9 + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 14. Let q be j(4). Let y(l) = -l**3 - 5*l**2 - 5*l - 1. Let p be y(-4). Let x = -1 + 1. Put x, p, q in ascending order.\nAnswer: q, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3336 and 45414.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 98575626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2154000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l**2 + 545*l - 5. Let d(b) = -9*b**2 + 270*b - 2. Let r(x) = -5*d(x) + 2*q(x). Suppose r(f) = 0. Calculate f.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -20*u + 8016. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4093639mg?\nAnswer: 409363.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 39*z - 29. Suppose -2*p = 4*w + 3*p - 66, -w - 5*p + 24 = 0. Let m be g(w). Solve -2*i = 3*n - 5, -4*n + 5*i - m = -35 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -93. Suppose 0 = -q*s + 16. Let z = s + 176. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3871903053?\nAnswer: 3, 23, 5573, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/91 - 1\/26*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 + 158. Solve 3*s - 4 = -n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 5*t - 2*t + (-14 + 9 + 11)*(3 - 3 - 1)*(7 - 32 - 16)*(3*t - 6*t + 2*t) to m*t + p and give m.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44376281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6582 is divided by 165?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 40. What is the smallest common multiple of j and (4\/(-5) + 0)*4320\/(-108)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 11. Is 3 a factor of 9 + 3 + -2 + q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.07, -2\/7, 0.3, -1 in decreasing order.\nAnswer: 0.3, -0.07, -2\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -11456701?\nAnswer: -11456705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.33 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4917+-11239\nAnswer: -11239.4917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 333?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/12 - 5*p**3\/3 - 3*p**2\/2 - p. Suppose -5*k - 4*t = -35, 2*t = -k - 15 + 22. Calculate c(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 - 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 9*f - 15. Let x(w) = -w + 1. Let i(v) = o(v) + 3*x(v). Calculate the remainder when i(-11) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 28. Suppose -5*m - 19 - 6 = 0. Sort m, o, 0 in decreasing order.\nAnswer: 0, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/(-468))\/((-3)\/(-300)) - -2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -213949 and 0.65878?\nAnswer: 213949.65878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 5*x**3 + 18*x**3)*(-4 - 3 + 5)*(-4 + 1 - 1) + (-18*x**3 + 9*x**3 - 10*x**3)*(3 - 5 + 1).\nAnswer: 171*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 844635 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = -2*x + 419, 0 = -4*s - 12. Sort 4, -3, x.\nAnswer: -3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424342 (base 5) in base 6?\nAnswer: -150231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 31787.303 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q**2. Let v(z) = -24*z - 1. What is c(v(l))?\nAnswer: 7488*l**2 + 624*l + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10213 (base 4) in base 12?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10862 is divided by 993?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.7, 0, -6\/11, 1?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 56*b**2 - 26*b - 44. Let g be p(27). Let f = -470 + g. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.7 - 1.9. What is v rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487 smaller than 1559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 2, -17, -52, -109, -194?\n\"Answer: -i**3 + i**2 - 5*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 7 + 12 + -4 - -10) + -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 - -116. Let c = b + -16.4. Let a = c - 0.6235. Round a to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 43803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60021470729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 120, 130, 144, 162, 184, 210?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2222, 1, -5 in decreasing order.\nAnswer: 1, -5, -2222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/28 + (-6130)\/(-35). Suppose -r - m = -6*r. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -96*v - 20 - 392*v**2 + 356*v**2 - 33 - 4*v**3 - 11 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -58*(-4)\/(-120). Let g = -9\/10 + s. Let l = -3830 - -3835. Which is the nearest to g? (a) 3 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and 976.\nAnswer: -48800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 + 55 + 9*z**2 + (-14 + 1 - 1)*(-3*z**2 - 3*z + 3*z).\nAnswer: 51*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-30))\/(18\/15). Let i = -13 + 14.3. Let q = i - 0.3. What is the nearest to q in j, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*m - 2662, 6*a - 3*a = -2*m - 1998. Let s be a\/(-12) + (-4)\/(-6). Suppose -3*o - s = -353. Calculate the remainder when o is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 2*k. Let i(p) = 4*p**2 + 10*p + 16. Determine -2*i(h) - 10*t(h).\nAnswer: 2*h**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*i + 2*q = -396, 3*i + 175488 = -4*q + 175494 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - c - 1 - c)*(0 - 6 + 5) + 0*c + 3*c + 2*c in the form m*c + x and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 42*v**2 + v + 1. Let g be t(1). Suppose 0 = -q + k + g, -3*k = 4*q - 5*k - 180. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.002884 milligrams in tonnes?\nAnswer: 0.000000008002884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1255\/6, -5, -7.1, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x**4 - 15*x**4 - 30*x**4 + 211*x**3 - 22*x**3 - 147*x**2 + 3*x**5 = 0 for x.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) 22\/7 (c) 0.02 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000039209 to 7 dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1897, 2984, 4067, 5146?\nAnswer: 6221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/11)*x)\/x)\/((x*x**(1\/2))\/x))\/((x*x*x*x**(-5)\/x*x)\/x)**(-6\/17) assuming x is positive.\nAnswer: x**(-481\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39187*b**2 + 12264*b**2 + 26831*b**2.\nAnswer: -92*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11751\/7 - 1672. Let i be ((-19557)\/(-24) - -1) + 0. Let c = i - 3231\/4. Calculate the common denominator of c and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*a + 2 - 81 = 0, -229 = -5*c + 3*a. Suppose -5*u = -c - 66. What is the least common multiple of u and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254*c**4 + 2233*c - 4518389.\nAnswer: 1016*c**3 + 2233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-3) - (-163117)\/14500. Let z = -2\/3625 - d. What is the common denominator of z and -79\/110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7990 is divided by 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w + w**2 - 18*w + 2 + 13*w + 1. Determine p(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145107 (base 8) in base 16?\nAnswer: -ca47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-three halves of a gram?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f*f**(2\/7)))**(6\/7)\/(((f\/f**(-8))\/f)\/(f\/f**6)) assuming f is positive.\nAnswer: f**(-733\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**3 - f**2 + f - 1. Let j be u(1). Suppose -7*i - 248 = i. Calculate the common denominator of i\/(-3)*((-60)\/j)\/(-5) and -32\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-8)\/36 + 34\/234). Which is smaller: x or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/5 - 1042*i**4\/5 - 138296*i**3\/5 - 669768*i**2\/5 - 532512*i\/5 = 0. What is i?\nAnswer: -258, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14165 - -14168. Suppose r = 3*g + 1, 33 = -0*r + 5*r - g. Solve 3*b = h - r + f, -5*h = 3*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1789 + -0.1189. Sort -0.04, r, -2\/5, -0.3.\nAnswer: -2\/5, -0.3, -0.04, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 6*f**2 - 7*f + 2. Let y be m(-7). Which is the nearest to -2\/5? (a) -3 (b) -4\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4 + 14) - -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2948 is divided by 962.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Divide -2044788 by 6.\nAnswer: -340798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 32512638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 48. Let y be ((-8)\/6 - 0)\/(o\/(-429)). Are -22 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 113 (b) -2\/5 (c) -0.1 (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 125.31042 and -79.\nAnswer: -9899.52318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -634 + 624. Let k be (-96)\/15 + 6 - 154\/z. Solve 6*u - 39 = -k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1714284846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**3 - 20*z**3 + 2 - 2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*y**2 + 2 + 62*y**2 - 1 + 108*y**2 + 255*y**2 to the form c*y**2 + w*y + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332352*z + 332352*z - 1108*z**2.\nAnswer: -1108*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-45))\/(36\/(-30)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 18. What is the remainder when f(7) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5 - 292*d**4 - 2480*d**3 + 2272*d**2 + 29856*d - 44352 = 0.\nAnswer: -6, 2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/((-14)\/105). Let n be (6\/9)\/(28\/(-18)). Let a be (-9)\/(-42)*(-6 - -8). Put n, z, a in decreasing order.\nAnswer: z, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -41. What is the nearest to 0.1 in 2, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyrlrpppprkdkrprl. Give prob of picking 2 p, 1 k, and 1 r.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75915, 25, 4 in descending order.\nAnswer: 75915, 25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*a - 9*a = 6*a - 1050 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {g: 6, c: 2, m: 1, n: 9}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 42.9. Suppose 7 - 3 = 4*j. What is the closest to 2 in j, n, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/12 - 7*w**3\/3 - 2*w**2 + 5544*w. Let s(d) = d**2 - 13*d - 3. Calculate 5*a(g) - 6*s(g).\nAnswer: -g**2 + 8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1505)\/(-14)*45*(-34)\/(-3825)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 4. Suppose 21 = p + 3*c, 34*p + c = 36*p - 63. Calculate the lowest common multiple of p and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 223*u**5 + 219*u**5 - 121*u**5 + 2*u**5 - 3 + 3 + (2*u**4 - u**4 - 2*u**4)*(2 - 2 - 2*u).\nAnswer: 325*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -0.159, -0.4, -5?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p - 88. Let m be j(15). Let v = -12 + m. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*7\/(-21)*(-6)\/4. Suppose 16 = u*l + 4. Solve -l*t = -3*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-448)\/(-10) + 8\/40. What is the highest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**6\/10 - 3*j**3\/2 + 11*j. What is the second derivative of g(m) wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**5 + c**2 - c. Let b(d) = -92*d**5 + 56*d. Let m(h) = -2*a(h) + b(h). Find the second derivative of m(t) wrt t.\nAnswer: -1880*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 4972606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -921265 < 10\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 178566, 357714, 536862?\n\"Answer: 179148*u - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + v + 6. Let n be (-5)\/2*((-144)\/(-15))\/4. Calculate q(n).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*h + 4 = -0*h, 5*i - 2*h = -2. Let l(q) = -q. Let y(n) = 2*n + 23. Let w(g) = l(g) + y(g). What is the tens digit of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 49, 108, 179, 256, 333, 404, 463?\n\"Answer: -m**3 + 15*m**2 + 3*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133.2 + -133.6. What is the smallest value in -0.1, 124, 5, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/5 + 376*u**2\/5 - 4668*u\/5 - 1008.\nAnswer: 4*(u - 12)*(u + 1)*(u + 105)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 1. Let r(v) be the third derivative of -v**4\/24 + v**3\/6 - 3*v**2. Give 3*c(k) + 2*r(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439717719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-855)\/3230*792\/891.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2.2. Let j = 0.11 - 0.51. Is w != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5665969.\nAnswer: 5665969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19374?\nAnswer: 2, 3, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 1105203*q\/2 + 1105201.\nAnswer: (q + 2)*(q + 1105201)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -55. Let c = h + -24. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 106?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/10)\/((-18)\/(-45)). Let m = -1.97 - 0.03. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -422 - -425. Let i(j) be the first derivative of 0*j**2 + 2\/11*j - 2\/33*j**a - 2. Factor i(z).\nAnswer: -2*(z - 1)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2579, 4961, 7337, 9707, 12071, 14429, 16781?\nAnswer: 19127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*l - 1178 - 1597 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + w, 8*t = 11*t - 4*w + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 - -438. What is the remainder when y is divided by (-13 + (-1144)\/(-55) - -15) + (-2)\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2. Let k(q) be the first derivative of -11*q**5\/60 - q**2 - 8. Let h(u) be the second derivative of k(u). Determine p(h(d)).\nAnswer: -121*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19*q**2 - 7506*q + 529. What is s(395)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 22, 70, 150, 268, 430, 642?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 6240*x**2 + 2595840*x - 359956480.\nAnswer: 5*(x - 416)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112021032 (base 4) to base 10.\nAnswer: 1401422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(17) + 3 + 1.\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28161\/8 - -3528. Find the common denominator of -71\/2 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119917 times -804\nAnswer: 96413268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 23*l**2 - 5*l - 17. Let z(x) = 2*x**3 - 22*x**2 - 4*x - 17. Let v(a) = -4*t(a) + 5*z(a). What is the derivative of v(h) wrt h?\nAnswer: -6*h**2 - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213357 is divided by 203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + w = -1, -4*a - 5 = 72*w - 67*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 <= 21330727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b11743 (base 12) in base 14?\nAnswer: 1234643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 761958720 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 84. Suppose -44 + 12 = -8*l. Let c(k) = k**3 - 5*k**2 + 6*k - 3. Let z be c(l). Solve b = s, -b + w = -z*s - 2*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268) + -4*sqrt(2268))\/sqrt(9) + (sqrt(343) + 0 - (-1 + sqrt(112) + sqrt(112) + sqrt(112) + sqrt(112))))**2*-1.\nAnswer: -5104 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 3*w)*((46 - 121 - 106)*(4 - 4 - w) + 6*w - 3*w + 3*w).\nAnswer: -187*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1701 (base 14) in base 9?\nAnswer: -5574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 395 - 197 = 0. Let b = 8 + y. Is b at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - q)*(1 - 1 + 1)*(3*q - 6*q + 2*q)*(3 + 3 - 3).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 82*b + 750. What is p(8)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -442 less than or equal to -442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*t - 115, 4*q + 5*t - 245 = 8*q. Let x be 2\/10 + 3\/q. Which is the smallest value? (a) -2 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/(-468) + (-1)\/(-4). Let u be 11 + -6 - 81\/15. Sort u, 6\/11, t in decreasing order.\nAnswer: 6\/11, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 55. Let l = -11 - x. Solve i - 6*i - l = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -76. Solve 2*j + 2*v = g*v + 6, -j = -4*v + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 + 152\nAnswer: 152.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 11, 20, 31, 44?\n\"Answer: b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214 and 1919366.\nAnswer: 1919366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdc. What is prob of picking 1 d and 1 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a factor of 1016832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 17*f + 3190. Is f a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6)*h)\/(h*h**(-1\/4)*h) assuming h is positive.\nAnswer: h**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30838334?\nAnswer: 2, 15419167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6570 and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 89.552. Let h = 2499.36 - 2499. Let j = h + x. What is j rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 10:12 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 184866?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404201 is divided by 57742.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxhxhhhxhhxhhxh. Give prob of sequence hhhh.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 9*i - 7. Let m be -2 - (-64)\/(-4 + 8). Let r be 10\/35 - 186\/m. Does 6 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*s - 8 = 2*f, -f = 3*s + 5. Let n be -1*(0 - -1 - 2). Let m = f + n. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676659520 a multiple of 2512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2304 and 14166.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051781028 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:11 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -270, -668, -1442, -2718, -4622, -7280, -10818?\nAnswer: -15362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, y: 12}. What is prob of picking 1 y and 1 t?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:32 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:06 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.494 times -4\nAnswer: -5.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22451, 22448, 22445, 22442?\n\"Answer: -3*l + 22454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -316*(212\/16)\/(-1)?\nAnswer: 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28310, 113230, 254762, 452906, 707662?\n\"Answer: 28306*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 2\/1679?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1*((-27)\/(-42))\/(-9)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 23. Let a(t) = -n*t**2 + 3*t**2 - 8*t + 8*t. Let y(d) = -1 - 5*d + 1 + 22*d. Determine y(a(q)).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 - 9*t - 6. Let x = -15 - -22. Suppose -x*w - 4 = -18. Let v(f) = 4 - 5 - 4*f**w + 4*f + 4 + f**2. Determine -4*n(u) - 9*v(u).\nAnswer: -u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 - 97. Suppose -2*t + z = -125, 4*z - 98 = -5*t + 182. Let d be (-4)\/(-10) + i\/t. Which is the third smallest value? (a) d (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 5*i**3 - 2350 - i**2 - 4*i**2.\nAnswer: -5*i**3 - 2350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 641211324 by 136254.\nAnswer: 4706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/11 + 9*n**2\/11 - 18*n\/11 = 0.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342517826.\nAnswer: 2, 3, 13, 17211767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.7 and -7.8.\nAnswer: 231.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5123 + -5111. Which is the closest to -7? (a) 5 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 - 272. Is (5\/(-4 - m))\/((-3)\/(-156)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1485 = 107*r + 2191 - 894. Let v(y) = y**2 + 24*y + 55. Calculate v(r).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + s**2 - s + 1. Let o(q) = -73*q**3 + 5*q**2 - 5*q + 90. Let p(v) = -5*g(v) + o(v). Find the first derivative of p(u) wrt u.\nAnswer: -189*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4874443.\nAnswer: 7, 696349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c\/(c\/(c\/(c\/(c*c**(-2)))))))))\/c**(-3\/4))\/(c*(c**(2\/7)*c)\/c*c)**41*(c**(-8)*c**(-2\/25))**(9\/4) assuming c is positive.\nAnswer: c**(-76401\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = p - 2*p + 5*o, -9 = p - 3*o. Suppose p*i = -4*q + 482, -i = 2*i - 4*q - 442. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98410 + 3542647\/36. Let a = -400\/51 - -199\/68. What is the common denominator of m and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 14) to base 12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -363152 divided by -181576\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 47*h + 4470. Let q(c) = 18*c + 1787. Determine 26*q(f) - 10*x(f).\nAnswer: -2*f + 1762","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 + -2.151. Let s = -0.050957 - i. Round s to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*c = 24 + 988. Let j be 108\/37 - (1 + 2). Is c less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(((-8455)\/38)\/89))\/(20\/1*5)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**3*h*t**3 - 26635017*d**2*t**3 - 2*d*h*t**3 + d*h*t**2 + 20407*d*h + 8*d*t**3 + 2*h*t**3 - t + 3 wrt d.\nAnswer: -42*d*h*t**3 - 53270034*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - ((-24928)\/(-24))\/(6\/(-189)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (3 - (-45 - 40))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-44*(-9)\/(-72)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190800 by 212.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4519648 + 1.452. What is t rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-1836)\/21)*((-2509)\/91 + 28).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 15. Suppose -o*q + 192 = -11*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 23 = z, 4*k - 288 = 3*z - 352 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -7*p**4\/12 + 3*p**3\/2 + 26*p**2. What are the prime factors of s(-5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -558, -1260, -2226, -3444, -4902, -6588, -8490?\nAnswer: -10596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7.8. Let q = 2.15 - 0.55. Let l = -2 + q. Sort d, l, 2\/9.\nAnswer: l, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 1)*(2*l + l**2 - 2*l) - 10*l**2 + 0*l**2 + 6*l**2 to the form s*l**2 + y*l + i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r - 11*r + 12*r - 16*r - 12*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149385, 149321, 149257, 149193?\nAnswer: 149129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(4\/(-2) - -1). Suppose -d + 6*d = -f. Let v = -3 - d. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4412 and 1772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 387317, 387289, 387243, 387179?\n\"Answer: -9*w**2 - w + 387327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 + -0.4675?\nAnswer: -4.2675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - 0 - (67 - (-25 + 89))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131.989, -19, -0.11 in descending order.\nAnswer: 131.989, -0.11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b*b**(-2)\/b)\/b)\/b)**(-3\/8) assuming b is positive.\nAnswer: b**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.460467nm to micrometers.\nAnswer: 0.002460467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c = 38*c - 462. Let y = -2989 - c. Round y to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 - 4*z**2 + 8*z - 12. Let f be n(7). Is 40 a factor of (116 - (-1 + f)) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10726*i + 5364*i + 5362*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5219\/5 (b) 2\/5 (c) -3\/5 (d) -5 (e) 0.3 (f) 6 (g) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 15*l**2 - 11*l + 46. Let k be x(-14). Which is the second biggest value? (a) 1\/5 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 12 - 18. Let t(d) be the third derivative of d**4\/24 + d**3\/2 + d**2. Let g be t(x). Let f(u) = u**3 - 5*u**2 - u + 2. Give f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 31635*p - 63271\/2.\nAnswer: (p - 1)*(p + 63271)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 121*n + n**2 + 132*n - 270*n - 16. Determine p(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let b(z) = 1031*z**2 + 18*z. Calculate b(k(v)).\nAnswer: 1031*v**4 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 2*y**2 - 4*y**2)*(3*y + 0*y - y) + (-y**2 + 53*y**2 + 22*y**2)*(37 + 29 - 9*y - 61).\nAnswer: -668*y**3 + 370*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*m**2 - 62*m + 198*m - 4*m**3 - 75*m - 61*m - 1.\nAnswer: -4*m**3 - 721*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose 0 = -3*b + 6*b. Solve i + b*i = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-17)\/9 + -5. Let -2\/9 + b*q + 8\/9*q**5 + 0*q**4 + 2\/9*q**2 - 14\/9*q**3 = 0. Calculate q.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522060.5864 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45055798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1317 - 2571\/2. What is the common denominator of 5 - 140\/(-16) - 2 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 - -0.06. Let i = 60 - 62. What is the closest to -1\/4 in c, 0.4, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 36135*z**2 - 108829584*z - 108793452.\nAnswer: -3*(z + 1)*(z + 6022)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1567 + 36)*(-1)\/(-1). Let k = 10753\/7 + f. Are 5 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2813980 and 2528.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0.4 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:15 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-14)\/(-56)*28.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13669 - 13669 - 67245*q**2.\nAnswer: -67245*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -3*t**3 + 0*t**5 - 15*t - 5\/14*t**7 + 0*t**2 + 0*t**4 + 0 + 0*t**6. Find the second derivative of q(b) wrt b.\nAnswer: -300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*sqrt(891).\nAnswer: -54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 = -11. Suppose 4*p = 2*m - t, 5*p + 7 = p + 3*m. Which is the third biggest value? (a) -0.2 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) 2\/9 (c) 2614 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41983.1009 - 41979. Let w = -4.1 + v. Round w to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 37.4. Let l = -5 + s. Let y = -5555 - -5559. Which is the second smallest value? (a) y (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpyywlpywb. Give prob of picking 2 p.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2699 + -0.2079. Let t = v + 41.918. Let r = t + -45. Do 1\/3 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.501 times 71\nAnswer: 35.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l - 51. Let t be m(9). Factor 24 - 32*h**2 - 14 - 24*h**3 + 4*h**5 - t*h - 10.\nAnswer: 4*h*(h - 3)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*b**3 + 4*b**2 + 62*b**3 - 2*b**6 wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8811 and 356?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 2 - 7 + 2 - 11.\nAnswer: 2*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*r**2 - 98588646*b**3*r + 3*b*r**2 + b*r + 17928*b + 4*r**2 - 3*r + 2 wrt b.\nAnswer: 6*b*r**2 - 591531876*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1183 + 1183 + 49*j)*(-2 + 2 - 2*j) - 7*j**2 + 0*j**2 - j**2)*(0*j + 5*j - 3*j) to the form k + x*j**3 + b*j**2 + g*j and give x.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79179?\nAnswer: 3, 26393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*f - 78*f - 5*d - 42325, -5*f - 5*d + 211685 = 0. Is f a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114700, 114881, 115178, 115591, 116120?\nAnswer: 116765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 9, p: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (581\/14)\/(2\/4). Factor -125*p**3 - 10 - 209*p**2 - 2*p + 9*p**2 - v*p.\nAnswer: -5*(p + 1)*(5*p + 1)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -14) + (-2 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (4 + 15\/(-5)). Let g = -0.456 + 0.056. Which is the biggest value? (a) g (b) -0.5 (c) 8 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + (-3972)\/546 + 3\/7. Which is the nearest to 0? (a) 11 (b) -3\/7 (c) l (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 - -0.4. Is u >= -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(1\/(-1)))\/(-3)*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 12:34 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 7*q - 3. Let t be 196\/42*(-3)\/(-2). Calculate z(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*h - w, -3 + 43 = 5*h - 5*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -5\/2*u**2 + 1\/3*u**3 - 27 + u. Determine z(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieffmififem. Give prob of picking 1 m and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*n - 5 = 0, w + n - 11 = -4*n. Let s = 4 + w. Suppose 2*j = s*j - 39. What is the greatest common divisor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 194*z. Let g(d) = 310*d. Let o(n) = 8*c(n) - 5*g(n). Let f(l) = 26*l**2 - 2*l + 2. Determine o(f(i)).\nAnswer: 52*i**2 - 4*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, 12\/23, 41, -7\/6?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9790 is divided by 2437?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4411*g - 4492*g - 131 - 40 + 15 as t*g + x and give t.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 49*s**2 + 99*s - 102. Let v be o(-51). Calculate the highest common divisor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211022101 - 2221221?\nAnswer: -11221021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htgt when four letters picked without replacement from {h: 1, t: 2, r: 2, g: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 4*i**2 + 6*i - 2. Let u be a(5). Suppose 8*s = 142 - 22. Suppose 4 = -14*z + s*z. Solve -z*p + p = u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 7818390 = 101*a. List the prime factors of a.\nAnswer: 3, 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51100.\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*g = -80, 2*g + 114 = -4*j - g. Let b = -27 - j. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82954 is divided by 10822?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29211310 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 1:30 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 138 - 10 = -2*y, -158 = -2*y - 2*r. Suppose -82*s + 127*s = 60*s - 345. Suppose 0 = -o - s + y. What is the highest common factor of 135 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -399 - -373. Put y, -4, -5 in descending order.\nAnswer: -4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3691, 7382, 11097, 14842, 18623?\nAnswer: 22446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 10*c**2 + c**2 - 187*c - 7*c**2.\nAnswer: 11*c**2 - 187*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8 (base 12) in base 13?\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 - 34*k**2 - 26508*k + 53136 = 0 for k.\nAnswer: -108, 2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43179 - 345431\/8. Let o(n) be the first derivative of 0*n - i*n**2 - 1\/3*n**3 - 1\/10*n**5 + 48 - 5\/16*n**4. Factor o(m).\nAnswer: -m*(m + 1)**2*(2*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 12. Let k be (3\/3)\/((-4)\/8). Let q be k\/(6\/(-3))*11. List the prime factors of b(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3922.\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 512.\nAnswer: -511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) + sqrt(900)*-1)\/(sqrt(132)\/(-1*sqrt(11)))*2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -11. Solve t = 4*a - 3*a - x, -12 = 3*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 + 123. Solve -r = 3*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 28*n - 100. Let j be t(-4). Sort j, -3, 297 in descending order.\nAnswer: 297, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18. Is u < -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*1*sqrt(11) + sqrt(44)*4).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let a(f) = 2*f**2 + 6*f + 5. Let p be a(-4). Let r = y + p. Calculate the lowest common multiple of 18 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 12*f - 6. Let d be p(9). Let r(u) = -2*u**3 + 2*u**2 - 5*u + 11. Let o be r(3). Let a = d - o. Solve -3*w - a = -22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40919 - -40871. Sort 0, j, -5, 4.\nAnswer: j, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 + 2*v - 8. What is x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1127.07 + 1122. Let v = -0.07 - j. Sort -2, v, -0.11 in descending order.\nAnswer: v, -0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -686, 0, 5.\nAnswer: -686, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (0 + 2) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = 6, -3*u = 2*s - 5. Let v = 313 + -209. Suppose s*t - v = -m - 23, 5*m = 25. Calculate the remainder when 36 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -161*y + 160*y + y**2 - 2 + y**2 + 4*y**4 + (2*y**2 + 0*y**2 - y**2)*(3*y**2 + 2*y**2 - 4*y**2).\nAnswer: 5*y**4 + 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 805*h**4 + 498*h**2?\nAnswer: 19320*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.45622 centimeters in micrometers?\nAnswer: 354562.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a + 1428 + 7682 = 1901 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -1e784?\nAnswer: 1e77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2911*j**2*k**2 - 72*j**2 + 633*j*k**2 + 6*j*k - 5*j + 30*k**2 + 2*k - 2 wrt j.\nAnswer: -5822*k**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*g = 12, 4*s + 5*g - 20 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2637 = 219. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**10*f)\/f)\/(f\/(f*f**12))*f**10\/f**(4\/9) assuming f is positive.\nAnswer: f**(284\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4619810 to the nearest integer?\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -48*n + 148. Let v be i(3). Suppose v*w - 3*d - 9 = 0, 10 - 3 = 4*w - 5*d. Let u = 1 + -2. What is the third biggest value in 5, -4, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6129 - -0.644. Round p to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**5\/15 + 4*n**4 + 718*n**3\/9 + 520*n**2 - 3887*n\/3 + 944. Determine f so that p(f) = 0.\nAnswer: -23, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 5*h - 3. Let x(j) = -2*j**2 + 6*j - 3. Suppose 4*f - 10*f = 3*f + 54. Give f*x(b) + 7*k(b).\nAnswer: -2*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 3688?\nAnswer: 3689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q + 145*q - 313 - 1311 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -59*l - 334. What is the least common multiple of p(-6) and 38?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/7353 - 314654\/2242665. Find the common denominator of -2\/85 and y.\nAnswer: 5185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1.5, -15\/61, -2\/5, -10, 0.3, 0.4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/(-2)*(-4)\/(-6) + 0. Solve 7 + z = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(100))\/(sqrt(5) - 4*sqrt(405)).\nAnswer: 8*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r - 1. Let g be k(2). Let p(a) = -2*a - 15. Calculate the remainder when 21 is divided by p(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 36. Suppose y*z - 11 = -326. Let m = 63 + z. Solve m = -3*t - t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*a + 17. What is the units digit of (-3 - 155\/(-10))*a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5422098?\nAnswer: 2, 3, 11, 82153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219242\/6 + 186\/279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5242 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 - -230. What is the second biggest value in -2, p, 3\/2, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + 4 + (-13 - (-3 + 16)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 4*o**4 + 2*o**4 + o**4 - 2*o**4 + 2*o**4 + (2*o**2 + 0*o**2 - 3*o**2)*(-2*o**2 - o**2 + o**2) - 2*o**2 - 2*o**4 + 12*o**2 - 7 + 8.\nAnswer: 2*o**4 + 10*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 0) + -9 + (6 + -6 - -2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 + 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2, 0.4, 0.06, -0.13 in ascending order.\nAnswer: -2, -0.13, 0.06, 0.4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 17}. Give prob of sequence auua.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 - 113.1. Let n = 119.9 - 1.5. Let i = n + r. Round i to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*d)*(-2*d**2 + 2*d**2 + 2*d**2) + (3*d + d - 3*d)*(2*d**2 - 2*d**2 - d**2).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.4 + 2.28. Let p = t - 12. What is p rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11615*i**3 + 23185*i**3 - 11572*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 766721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(((p*p\/(p*(p\/((p*p*(p**(-11\/4)\/p)\/p)\/p))\/p*p)*p)\/p*p)\/p)\/p)**(2\/77))**15)**(-9) assuming p is positive.\nAnswer: p**(2025\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142869582*p**3*y**2 + 2*p**2*y**2 - 256305775*p**2*y wrt p.\nAnswer: -857217492*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.989 - 20. Let h = j - -0.124. Let k = h + -0.013. What is the nearest to 1\/2 in k, 2\/37, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103103301310 + 3?\nAnswer: 2103103301313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/756757 and 75\/172?\nAnswer: 3027028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(33)\/(sqrt(44)\/sqrt(4)) + -1*sqrt(3) + 3 + 1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 7\/(14\/4). Suppose 20*h - 15*h = -3*y - 36, 0 = -3*y + 3*h + 12. Put 9, 3, y, u in ascending order.\nAnswer: u, y, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 1 - 15. Let y be (c\/(-6))\/(2\/(-21)). Let g(s) = s**2 - 7*s + 3. Let p be g(y). Put p, 0, 2 in ascending order.\nAnswer: 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 12. What is f(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**13)\/(n*n\/(n*n**12)))**3)**(1\/3) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 - -163. Put o, -5\/3, 3, 4 in decreasing order.\nAnswer: 4, 3, -5\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 4 = -30*s + 367 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -716.7 (c) -28 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8596, 8598, 8602, 8608, 8616, 8626?\nAnswer: 8638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 33 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/(n\/n**(-2\/95)))\/(n**(-8\/5)*n*n*n**(2\/27)) assuming n is positive.\nAnswer: n**(1285\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 2*a**2 - 3*a - 3. Let g be k(-2). Suppose -g*m + m = -32. Calculate the smallest common multiple of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32\/171? (a) 1 (b) 0.5 (c) 2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 + 17*z. Let v(l) = 50*l + 6. Give m(v(k)).\nAnswer: -10000*k**2 - 1550*k - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 187.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - 3*l + (-4 + 2 + 3)*(2*l - 4 + 4) + 3 + 3*l - 3 + l + 0*l + l)*(5*l - l - 2*l)*(-6 + 6 - 7*l).\nAnswer: -84*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u. Let x(i) = 117*i**3 + i. Let f be x(1). Suppose u*s - f = -2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(-41*y + 35*y - 14 + 27*y)*(4*y**2 + 2*y**2 - 4*y**2) to the form f*y + d*y**2 + u*y**3 + p and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 18421519200 to the nearest 1000000.\nAnswer: 18422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13461369 to the power of 1\/2, to the nearest integer?\nAnswer: 3669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -455 + 455. Is 39 a factor of (-6 - k)\/((-4)\/582)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8156735*c**3 + 8665989*c**2 wrt c.\nAnswer: 48940410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1176 and 20328.\nAnswer: 142296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 70, 88, 108, 130?\n\"Answer: s**2 + 15*s + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357363467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o**2 - 72196*o - 1378944.\nAnswer: 4*(o + 19)*(5*o - 18144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -26392 smaller than -26957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6267 divided by 1?\nAnswer: 6267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -108*f**3 + f**2 - 1. Let j be r(-1). Suppose j = 3*u + 3. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -947 - -955. What is the closest to 0.08 in -3, 1\/4, l, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22610)\/(-714))\/(-2 + -1 - (-12)\/9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (-2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*x**3 + 100*x**3 - 31*x**3.\nAnswer: 134*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d = b - 26, -5*d - 5*b = 95. Let u = d + 18. Suppose 52*n = -4*a + 47*n - 111, -4*n + 60 = -3*a. Sort u, 4, a in decreasing order.\nAnswer: 4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 4*b + 4. Let d(a) = a + 1. Let w(h) = -2*d(h) - z(h). Suppose 2*x - 7 = x. Let u be w(x). Let i(r) = -2*r**2 + 1. Calculate i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a - 464. Let y be g(24). Let o(c) be the first derivative of c**2\/2 + 11*c + 1. Let j be o(y). What is the highest common factor of j and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63525, 254091, 571701, 1016355, 1588053, 2286795, 3112581?\n\"Answer: 63522*w**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 3.3. Put z, -7, -3 in decreasing order.\nAnswer: z, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/(-6) - 7014\/(-12) is divided by 191.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414255902.\nAnswer: 2, 337, 614623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/11 - 118*f**4\/11 - 342*f**3\/11 - 338*f**2\/11 - 112*f\/11 = 0 for f.\nAnswer: -56, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -856.43 to the nearest 10.\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*m = 16, 11 = 3*h + 3*m + 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 26725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 105704609.\nAnswer: 8\/105704609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.14826 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 1) + (-17940)\/3105 - 4\/18. Sort -4, -42, d in descending order.\nAnswer: d, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.37 (b) -0.2 (c) -4 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 4*l - l - 24, 2*l + 8 = -4*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*k - 25*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -18, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 90.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-15 - 7) + 29?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2*r**2 + 2*q**2*r + 9*q**2 + 47*q*r - 132*q wrt r.\nAnswer: 2*q**2*r + 2*q**2 + 47*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8909 and 7701?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 + 22*r**2 + 13*r - 2. Let y be f(6). Let g = 21\/2 - 10. Let z = -0.2 - -0.1. Which is the nearest to g? (a) y (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937412849 to the power of 1\/3, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from qkakqqukqqvq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and 136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 3*j - 13, 1 = -z + j. Suppose -3*c + 97 + 8 = -y, -z*c - 5*y = -70. Suppose -2*u + c = 3*u. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2) + (-15)\/10.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/8 (b) -11 (c) 85 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -53.\nAnswer: -53, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - 11*m**2 + 7*m + 5. Let f(k) = -4*k**3 + 12*k**2 - 7*k - 5. Let d(s) = 4*f(s) + 5*i(s). What is the units digit of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 7*i**2 - 9*i + 11. Let a be j(8). Suppose -a*c + 1007 = -4*l, 4*c = 4*l - c + 1017. Is 3\/1*l\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3 - -1*4844\/24)*-2. What is the third smallest value in m, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 11*v**7\/210 - v**5\/5 + 5*v**2\/2 + 7. Let x(c) be the second derivative of n(c). Find the third derivative of x(g) wrt g.\nAnswer: 264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/(-126))\/((-57)\/133)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i**3 - 2*i**3 + 3*i**3)*(9*i - 13*i - 21*i + 4).\nAnswer: 200*i**4 - 32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -18*b + 1. Let o = 18 + -26. Let n be z(o). Suppose -2*u - 5*x = -n, 0*u + 4*u = -x + 281. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/5))**(-11\/4)\/((f*f**6)\/f**(-1\/3)))**(2\/17) assuming f is positive.\nAnswer: f**(-539\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 1 - 1)*(-31 - 1359 - 940 - 14) to j*p + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*z, 13*z + 21*z + 107*i = -4*z + 7*z + 110*i - 136 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 2. Let v = 16 - -5. Let g = v - -17. Suppose 39*n = g*n + 6. Determine d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596968.\nAnswer: 2, 71, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160720259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2. Let i(l) = 298*l - 6. Let x(n) = -i(n) + 5*m(n). Is 17 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 28*q**3 + 3349*q**2 + 5*q. Let x(v) = -68*v**3 - 8372*v**2 - 12*v. Let r(o) = -12*m(o) - 5*x(o). Determine a, given that r(a) = 0.\nAnswer: -418, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101201012 (base 3) to base 13.\nAnswer: -3728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -39. Let r = d - -38. Let s = -9\/2 - r. Which is the nearest to s? (a) 0 (b) -2\/19 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57951 is divided by 161.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187 + -0.1.\nAnswer: -187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 17\/(102\/288) + (-84)\/(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/12 - -2) + 30\/(-40)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 - 23) + -53 + -19?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4*8\/16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27313*f + 27300. What is x(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 5*j**2 + 6*j + 3. Let s be y(6). Let z = -281 + 283. Which is greater: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/8 + 207417*o**2\/4 + 3584839845*o\/2 - 10756386369.\nAnswer: 3*(o - 6)*(o + 69142)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3.270747 hours?\nAnswer: 0.136281125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78917\/18 + -4379. Suppose 0 = 5*p - p - 13932. Let g = -55687\/16 + p. Calculate the common denominator of z and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/6 + m**2\/6 - 2*m\/3 - 2\/3 = 0. Calculate m.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 68*j**2.\nAnswer: -4*j**2*(j - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 + 816*m - 817*m - 1993 to v*m + i and give i.\nAnswer: -2065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 108 = 2*f. Let t = -22 - f. What is the greatest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 6*u - 2*s = -30, -4*s - 12 = -4*u. Let q(l) = -12*l + 73. Let z be q(u). What is the greatest common factor of 15 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -3*r, 0 = 4*s + 21*r - 19*r. Let z = -0.4 - -0.32. Let x = 0.18 + z. Which is the nearest to x? (a) s (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29 - 29 - 424*m**2 - 108*m**3 - 222*m**3 - 172*m**2 wrt m.\nAnswer: -1980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 50*u**2 - 431*u + 89. What is b(39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 251581 = -5*l, 0 = w + 121 - 125. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 - -454. What are the prime factors of c?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/63)\/(110\/(-6)). Let u = -1389\/1925 - d. Let y = u - -1\/75. Is 0 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -944560, -1889120, -2833680, -3778240, -4722800, -5667360?\nAnswer: -6611920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**2*k**3 + 6*h**2*k**2 - 23*h**2*k + 11*h**2 + 7*h*k - k**2 wrt k?\nAnswer: -36*h**2*k + 12*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7557 is divided by 606?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1738060207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. What is the units digit of 77\/35 + (-1)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -47*s**3 - 2*s**2 - 2*s - 1. Let d be (-4 + 2)\/(8\/4). What is the units digit of o(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*v - 22 = 0, z - 3*v + 7 = -6*v. Let r be z + 74\/10 + (-3)\/(-5). Solve -35 = -5*b + 4*k, r*b + 4*k = b - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*c + 12 = 363*c. Let o(t) = 0*t - t + 3*t. What is o(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**6\/180 + u**3\/3 - 1. Let o(k) be the third derivative of q(k). Let o(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 5) + -21 + 20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 191195 - 76501 = -30*t. List the prime factors of t.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 239, 18, -5, 337 in ascending order.\nAnswer: -5, 18, 239, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*g - 104, g + g + 10 = 0. What is the hundreds digit of 6\/y + 5540\/35 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23*627\/(-6831))\/(1\/(-3))\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20.57 from -35207.\nAnswer: -35227.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*(-8)\/(-6). Suppose 10 = l + 2*w, c*w + 25 = 3*l + 7*w. What is l rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 185 + 252 = 2*d, -d + 3*i = -196. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 104, 158, 238, 344?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 242*g**2 + 975*g\/2 - 729.\nAnswer: -(g - 486)*(g - 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035640 is divided by 133?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.19 and -8223230?\nAnswer: 8223230.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 1 + sqrt(180) + (2 + sqrt(5))*1)**2.\nAnswer: 78*sqrt(5) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10337000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24091\/5 + (-300)\/(-375). Round f to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125374737427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4\/4 + 8*d**3\/3 + 5*d**2 + 6. Let t be q(7). Suppose r + 42 = y, 2*y - 2*r - t = -7*r. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmvvvfvvmmvv. What is prob of picking 1 v and 2 f?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138606 divided by -122?\nAnswer: -33923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000254985947 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 0.06?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 71\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28456 is divided by 551.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -813\/5369 - 1\/413. Let y = -0.126 - 0.528. Let i = y + -0.346. Put 0.5, i, t in decreasing order.\nAnswer: 0.5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z**3 - 19*z**2 - 9*z. Let y(x) = 10*x**3 - 17*x**2 - 8*x. Let f(i) = -6*k(i) + 7*y(i). Let l(b) = -b**3. Calculate f(p) - 6*l(p).\nAnswer: -2*p**3 - 5*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 8. Let o be d(3). Factor -q**2 + 3*q - 2*q**2 + q + o*q**2.\nAnswer: 2*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/45 and -3\/49615775.\nAnswer: 446541975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*s + 65, 7*m + 4*s - 60 = 6*m. Suppose 42*g - m*g - 5*q = 1231, q - 3118 = -5*g. Does 49 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1237 - 0.03?\nAnswer: 0.0937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 196093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -745*h + 774*h + 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16b - -c6?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 27457710*w**3 + 37696264464485*w**2 + 75392611302120*w + 37696319379920.\nAnswer: 5*(w - 2745772)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44158 + 266158. What is a rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3381874, 6763740, 10145606?\nAnswer: 13527472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*z + 427*z - 18*z**3 - 849*z.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 12 = 5*v - 4*k, 3*k - 24 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1584) - -2*sqrt(1584)*2))**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 3)*(-5)\/5*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 993524 divided by -959\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/11 (b) -1\/6 (c) 0.3 (d) 6 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 11*v + 18. Determine p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -8. Suppose -t*v = v - 5. Calculate the remainder when 2 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/18)\/(2\/12). Let v = 0 + n. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86346604.378+0.3\nAnswer: -86346604.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4 (b) -3 (c) -4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 26*y + 1210. Let b be m(44). Which is smaller: b or 6010\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 4682857?\nAnswer: 4682854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -266, -530, -794, -1058?\n\"Answer: -264*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 103559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 107 - 1661a?\nAnswer: -16513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73727 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 1 - (-2 + 2). Let z be 3*o\/((-36)\/3). Which is bigger: z or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z = -6. Let a = -7 - z. What is the units digit of -3*(-2)\/((-1)\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1297*w + 418980. Determine s(323).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 + 11*y - 17. Determine b(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 52 = -5*y, 115*c - 116*c + 48 = -14*y for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5155 = -288*z - 1181 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = l - 61. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15844 minus 0?\nAnswer: 0.15844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7272 or -7268?\nAnswer: -7272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-74 - -36) - -75\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2891360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043937185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130 in -0.05, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 1, z: 1}. What is prob of sequence vv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 b when four letters picked without replacement from aaaddaaaddarrab?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103045 is divided by 462?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 24*d - 100. Let b(i) = 14 - 9*i - 12 + 8*i. Let n(a) = -5*b(a) + r(a). Differentiate n(f) wrt f.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19877, -39754, -59631, -79508, -99385, -119262?\nAnswer: -139139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 136 = 5*k, -3*d - 2*k - 42 + 163 = 0. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/((-30)\/(-45)). List the prime factors of (j + -3)\/((-42)\/35)*57.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111315981?\nAnswer: 3, 7, 5300761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4183 + 3227. Is h greater than -956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399348805.1 rounded to the nearest one million?\nAnswer: 399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-110)\/(-121))*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -151 and 0.15.\nAnswer: -150.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(-2 - (56 + 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.11 + -0.11. Let b = x - 156. Let r = b - -109.6. Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/5901 + -3037\/4225116. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 4, s: 1, h: 2, t: 5, d: 2}. What is prob of picking 1 h and 2 y?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -12. Let k(l) = -l + 2. Let y(t) = t**3 - 6*t**2 - 8*t + 5. Let c be y(7). Let u be k(c). Solve 0 = -u*f + b*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12320 + 18566. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 13 - 9 + 0. Give g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/100 - 13*p**4\/10 + 338*p**3\/5 + 65*p**2 + 2. Let b(j) = 0. Calculate j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 minus 88054?\nAnswer: -88054.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -58 - (0 - -12 - 9 - 14 - (-9 - -3))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -25, -6 in descending order.\nAnswer: 4, -3, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1223)\/2446)\/(93\/12*1)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/21)*r**(2\/25)*(r\/(r*r**(-10)))\/r**(-8) assuming r is positive.\nAnswer: r**(9442\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11200753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y**2 - 3*y - 14. Let n(b) = -5*b**2 - b - 6. Let l(z) = -3*i(z) + 7*n(z). Let v be l(-1). Factor -1 + v*k - 1\/2*k**3 + 1\/4*k**4 - 3\/4*k**2.\nAnswer: (k - 2)*(k - 1)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjurugrruuuurujuuuu. What is prob of sequence grrj?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -34. Let y = o + -17. Let x = -2.2 - y. What is the nearest to x in -2\/3, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**5*w**3 + 6188*d**5 + 24997*d**2 + 3*d*w**3 wrt d?\nAnswer: -240*d**2*w**3 + 371280*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = b, -5*h + 7*h - 3*b + 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -12*q + 218. Solve 4*u + 5*h - 9 = 2, 4*u - q = 3*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*p**3 + 56*p?\nAnswer: 840*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2 + sqrt(128) + 5 - sqrt(128))**2 + sqrt(128) - sqrt(128)) + ((sqrt(128) + (sqrt(128)*-2 - sqrt(128))*-4)*2)**2.\nAnswer: 86575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, -7, 4, 498, -2 in decreasing order.\nAnswer: 498, 4, 3, 2, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -288 - 1793. Let d = k - -3648. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let v = -7 - -2. Which is the nearest to 1\/2? (a) v (b) t (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/15 - 1) + (-286)\/60. Let q = -11\/2 - s. Which is the fourth biggest value? (a) q (b) -3 (c) -3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209414 and 24.\nAnswer: 2512968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 g, and 1 c when four letters picked without replacement from {c: 1, p: 1, y: 1, d: 2, g: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 - 2*a - 20. Let f be g(-8). Let i be (1 - f) + 957\/(-187). What is the second biggest value in 5, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8112 + -7279. Solve -7*y - 826 = -d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-50 - (268 + -267 - (2 - (0 - 2))))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21748532 + -3.2146?\nAnswer: 21748528.7854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(2\/13)*v*v*v*v**7)**(-5)\/(v**4\/v**(-1\/3)*v**(4\/3)\/v**(1\/10)) assuming v is positive.\nAnswer: v**(-27221\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1230432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:56 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -376, 5, -26, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51275?\nAnswer: 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:23 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99*h**2 - 14056*h + 4531606?\nAnswer: -198*h - 14056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + (2*sqrt(567)*-2 - sqrt(567)) - (-2 + ((sqrt(567) - sqrt(567)*-1) + sqrt(567) + sqrt(567))*-4)) + -1)*3)**2.\nAnswer: -5346*sqrt(7) + 617544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 75452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5223, -9310, -13155, -16752, -20095, -23178, -25995, -28540?\n\"Answer: g**3 + 115*g**2 - 4439*g - 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -2.9, 2.4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -61632829.\nAnswer: -1\/61632829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 48184, 6, -2\/5 in decreasing order.\nAnswer: 48184, 6, 0.4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*u + 11 = u, 0 = -u + 5. Suppose -2 = l*m - 3*d + 1, 2*m = d + 7. Let w(i) = -i**2 + 3*i + 5. What is w(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1631 - -2853. Let q = 1222.4 - u. Let h = 2.08 + -2. What is the nearest to h in -3\/4, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-110)*-21 + 4. Let t = -5 - -8. What is the closest to 12 in x, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98120640 divided by -4?\nAnswer: -24530160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 + -134. What is the common denominator of (p + (-66)\/4)*(-10)\/(-65) and 17\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 7 + 3 + -5. Solve m*i + 11 = 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-5 + 1 + sqrt(68) + sqrt(68) + sqrt(68) + (0 + sqrt(68))*-4)**2 - 1*-2*sqrt(68)*-1) + -5).\nAnswer: -395 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 2\/33989 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/240)\/((-56)\/18 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 + 11*m**3 - 18*m**2 - 56*m + 64 = 0. What is m?\nAnswer: -2, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-6 + -12 + 3 + (27 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -232.7 and 1959212761?\nAnswer: 1959212993.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, -2, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 a factor of 30935755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 + 172*p**3 - 3*p**2 + 1514*p wrt p?\nAnswer: 24*p**2 + 1032*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7 - 23 + 476*a**2 + 9.\nAnswer: 476*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b - 80. Let h be o(24). Let z = h + 37. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3686*z - 34430. Give v(-9).\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2. Let p be s(1). Suppose y + 12 = p*y. Suppose 18 = y*j + 4*o - o, 0 = -j + 2*o + 6. Calculate the remainder when 11 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.84, -4, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -11*l - 5. Let g(i) = -12*i - 6. What is 4*g(j) - 5*q(j)?\nAnswer: 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -0. Let u = a + 4. Suppose 2*q + 2*q = 5*r - 919975, 0 = q + u*r + 230025. What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 2*q**4 - 2*q**5 + 0*q + (-2*q**2 + 2*q**2 - 2*q**2)*(64*q - 13*q**3 - 64*q).\nAnswer: 24*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y + 30*y + 15*y)*(4 - 1 - 5).\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8215, -7871, -7527, -7183?\n\"Answer: 344*u - 8559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110001 - 101010001001?\nAnswer: -11111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1064653\/19781520 - -3\/22352. What is the common denominator of -88\/15 and s?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129*(-28)\/693*-3 + (13 - -3)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 13*p + 34. Let l be k(-10). Suppose -3*v = -c - 25, -l*c = -4*v - 0*v + 68. Is -6 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0 in ascending order.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6092 + 6087. Put t, 118, 4, 2 in descending order.\nAnswer: 118, 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 805947 or 805945?\nAnswer: 805945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13680 and 360.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 745, 1612, 2479?\n\"Answer: 867*i - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942 divided by -249.\nAnswer: -314\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 7:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a**(2\/15)*a)))*a**(-2)*a\/(a*a\/(a\/(a**(2\/9)*a)))*a**4\/a)**(3\/11))**(-3\/20) assuming a is positive.\nAnswer: a**(4\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 10*u - 1. Let a(q) = -q**2 - 11*q - 8. Let j be a(-11). Let l be m(j). Is 456\/5 + l\/85 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 + 85*d - 100. Let m be w(-30). Is 2749 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 4115 = 4173. Solve y + 4 + v = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 168560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Suppose 2*n - 6 = 5*n. Let y be 7\/(n\/(-4)*2). Let w(s) = 5 - 13*s - 12 + y. What is w(b(q))?\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4 + 1 + 500\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 4*o + 4. Let y(g) = -g**2 + 0 - g + 1 + 2*g**2. Suppose 0 = -46*t + 52*t - 12. Determine t*b(k) - 7*y(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 28417*j**2. Let u(x) = -8*x**2. Determine u(g(w)).\nAnswer: -6460207112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 8) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((18\/(-36))\/((-9)\/6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25*j**2 + 6*j + 19. Let i(g) = 50*g**2 + 11*g + 37. Let t(w) = -11*a(w) + 6*i(w). What is the first derivative of t(m) wrt m?\nAnswer: 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**3 + 4*x**2 - 2*x. Let u be ((-8)\/(-28))\/((-8)\/112). Let t(m) = 13*m**3 - 7*m**2 + 4*m. Give u*t(a) - 7*s(a).\nAnswer: -3*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -27219421?\nAnswer: 27219421.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 67. Calculate the smallest common multiple of 4 and d.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 333, 255, 137, -27, -243?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 11*q + 2. Let g be p(-9). Suppose g = -3*w - 2*w. What is the tens digit of 7*w*(-6)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*j = -136, 3*j - 47 = -5*h + 92. Solve 2*l + 5*c - h = -9, -l + 16 = 4*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*q + 5*u, 2*q - 3*u + 3 = -8*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 3*w - 6*w)*(-2 + 8 - 2) as o*w + i and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20314, -20315, -20316?\n\"Answer: -j - 20313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -145, -925, -2879, -6541, -12445, -21125, -33115?\n\"Answer: -89*p**3 - 53*p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97 and 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 - (-2)\/(-9). Suppose t = -5*r - 12 + 47. Calculate the remainder when r is divided by (9 - 2) + -1 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1493130, 2986374, 4479620, 5972868?\nAnswer: 7466118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11767222, -23534445, -35301668, -47068891, -58836114, -70603337?\n\"Answer: -11767223*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296320661.\nAnswer: 7, 13, 23, 31, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5665*q**3 + 7*q**2 + 5*q - 8. Let s be h(8). What is s rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 4*j**2 + 6*j + 9. Let a be q(-5). Let z be -15*(a\/18)\/((-12)\/18). Calculate the greatest common factor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10900 - -19765. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 535\/(-40) - 3\/8. Solve -m = 4*u - u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -409*f - 2. Let z(y) = 14*y. Calculate -r(d) - 8*z(d).\nAnswer: 297*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 3\/29, 4220, 0.8, -3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j + 61*j - 13*j - 13*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 7*b. Let p(o) = -o**2 + 7*o. Let u(x) = 3*p(x) + 3*r(x). Let k(z) = -9*z**2 + 4 - 4. Determine u(k(w)).\nAnswer: -729*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:31 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 93 = -3*k, 0 = 2*z + 4*k + k - 29. Suppose 79 = 4*d + z. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 - 2*q. Let d(h) be the third derivative of h**5\/12 - h**4\/8 - h**2 + 125. Calculate 2*d(x) - 3*g(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, -18.\nAnswer: -18, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**8\/840 + h**6\/90 - h**4\/12 - h**3\/2 + 2*h**2. Let j(y) be the first derivative of q(y). Factor j(r).\nAnswer: -2*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(38)\/(sqrt(2) - (sqrt(2) + (sqrt(2) - -2*sqrt(2)) + sqrt(2))) + -3*1*sqrt(19)) - -5*-1*(sqrt(171) + sqrt(171)*-1*-6)\/sqrt(9).\nAnswer: -57*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = g - 6 + 1, 5*b - 15 = -3*g. Let k = 16 - 8. Let w(c) = 3*c**2 - k*c - c**3 + 4 + b*c + 3*c. What is w(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*f**4 + 18*f**4 - 33*f**4 + 338*f + 390*f**2 + 80*f**3 + 169*f**2.\nAnswer: f*(f + 13)**2*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.5, -5, 2\/7, -3 in decreasing order.\nAnswer: 2\/7, -0.5, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7619*f**2 - 90661*f**2 + 21*f - 1634*f**2 + 11345*f**2 + 28. Let s be n(-7). What is s rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7260*(-4 - 285\/(-70)) - 3. Let o = m - 515. Factor 0*a + 0 + 0*a**4 + 6\/7*a**3 - o*a**2 - 2\/7*a**5.\nAnswer: -2*a**2*(a - 1)**2*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 5. Let a be ((-12)\/(-9) - 1)*9. Let q = 3 - 16. Let l be 63\/q + (-28)\/182. Let r(z) = -z - 3. Determine a*j(u) + l*r(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17777733 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 253\/12 - (-2 - 25\/(-20)) and 27\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28716 + 42530. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596289221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -739 - 5?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1609*p - p**3 - 404*p - 404*p - 84*p**2 - 407*p - 402*p + 1 as y*p**3 + k + w*p + b*p**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*g = 112 - 4775 + 988 - 5397 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*y**2 - 46*y**2 + 2*y - 38848*y**5 + 38060*y**5 wrt y.\nAnswer: -47280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ce (base 16) to base 3\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) - 684\/(-90). Solve 3*l - o = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 3)*(3*y - 6*y + 2*y) - 2*y + 3*y + 4*y + (-3 + 2 - 1)*(-y - 3*y + 5*y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*n + 3 = -144, 0 = -3*p + 2*n + 88. Let q be (p\/40)\/(2\/8). Calculate the highest common divisor of q and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 194*c - 10616. Calculate d(-136).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4 + 3)\/(-2*(-3)\/(-6)) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779927933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2834.9 + 2834. Which is the fourth smallest value? (a) -5 (b) v (c) 14 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 3*c + c)*(2 + 1 - 4) + (0 + 0 + 3*c)*(-1 + 2 + 0) + 6*c + 2*c - c in the form p*c + v and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12079, -96574, -325919, -772540, -1508863, -2607314?\nAnswer: -4140319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29444050*j**3 + 5047080*j**2 + 4*j wrt j?\nAnswer: -176664300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2. Let z(c) = -3*c**2 + 12 - 5 - 7. What is z(p(r))?\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s**4 + 844*s**3 - 15551*s**2 + 14910*s - 3667. Let z(j) = 4*j**4 - 281*j**3 + 5184*j**2 - 4970*j + 1222. Let y(q) = 3*p(q) + 8*z(q). Factor y(c).\nAnswer: -(c - 35)**2*(2*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, c: 9}. What is prob of sequence kkkk?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18586 + 18582. Suppose -n - 5 = -6*n. Let j(d) = -2*d**2 + 4*d - 4. Let w be j(3). Sort n, w, k in descending order.\nAnswer: n, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*g**2 + 19*g**2 - 17*g**3)*(-12*g - 38*g - 27*g - 14*g + 2*g).\nAnswer: 1513*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j + 32 = -4*c, c + 3*j = -8. Let o be (-18)\/c - 5\/20. Suppose -20*s = -23*s + 42. Solve x - 3 = -4*a, 0*x + s = -o*x + 2*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 26 = 22. Let c(g) = -2*g + 1. Let i(v) = 7*v + 2. Let t(o) = u*i(o) - 4*c(o). Determine t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 5017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -3*l**4\/4 - 24*l**3 + 297*l**2\/2 + 107. What is the second derivative of o(i) wrt i?\nAnswer: -18*i - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 54*k - 294. Calculate v(-48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 + 13 + 6)\/1. Sort 1, -8.2, t.\nAnswer: -8.2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g + 55. Calculate k(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-13)*(-65)\/(-170).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12395 + -12354. Sort 2, -1, b, -2, 4 in ascending order.\nAnswer: -2, -1, 2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/4 - p**3 - 5*p**2\/2 - 3*p + 2. Let m = 4 + -7. Let c be r(m). Solve 3*w + 10 = 2*x + 2, c = 2*w + 3*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(24) + sqrt(120)\/sqrt(5)) - (sqrt(24) - sqrt(168)\/(sqrt(7) + sqrt(7)*1)))\/(6*(sqrt(320)\/sqrt(8) + sqrt(40))\/sqrt(5)*-6).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 97616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 9*b**2 + 8*b + 3. Let k be i(-8). Suppose k*h = -3*r, 17 - 7 = -h - 3*r. Let v(d) = 3*d - 6. What is the remainder when 16 is divided by v(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1125061 * -2.\nAnswer: -2250122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d + 9792 = 485*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k = -48*k + 9. Solve z + 2*u = -1, -3*z - 4 = 2*u + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183048900 rounded to the nearest one million?\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259665639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - -0.3. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1550\/(-155)*(-9)\/(-24).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 817152\/(-34048) + (-168)\/2\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 6 - 6. Put j, -5, -4, 1 in ascending order.\nAnswer: -5, -4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.087\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v + 4. Let a(p) = p**2 + 6*p + 7. Let y be a(v). Suppose 62 = y*q + 2*w, 6*q - 3*q = -2*w + 96. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, 0.4, -6, -5, 4, 13?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*o**3 - 477 + 477.\nAnswer: -50*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8643*o - 506651 = 8626*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - m = -6*m + 280, 0 = m. Suppose -62*h = -n*h - 24. Solve -2*c = -c, 5*c = 2*y - h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 1\/6, 3\/17, 12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0*d**2 + 108 + d + 13\/6*d**3. Let y(c) = c**2. Give y(l(g)).\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/32 - -69\/224. Let n = 0.15 + -0.08. Put 5, i, 1\/2, n in descending order.\nAnswer: 5, 1\/2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47927478 to the power of 1\/2, to the nearest integer?\nAnswer: 6923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3802882 and 107\/46490?\nAnswer: 19014410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 11*n + 2*n + 40.\nAnswer: -23*n + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -36*i**3 + 15*i**2 - 15*i - 21. Let q(b) = -5*b**3 + 2*b**2 - 2*b - 3. Calculate -2*a(m) + 15*q(m).\nAnswer: -3*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159341071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78546 divided by -1378.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307394 and 2386824?\nAnswer: 40576008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, u: 1, g: 2, f: 1, v: 1}. What is prob of sequence fva?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 12*m**2 - 73*m - 12. Let d be j(-8). Let t be d\/16 + 6\/24. What is the highest common divisor of 820 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j = -8*j + 1593. What is the least common multiple of j and 375?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*d**2 - 14*d + 306*d**2 + 480*d**2.\nAnswer: d**2 - 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1660 - 846. What is y rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85405, 81496, 77585, 73672, 69757, 65840, 61921?\nAnswer: 58000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10344.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppffqpppffpp. What is prob of picking 3 p?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4095614?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-15)\/12 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-23)*i\/i**(-23) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92769 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-60)*(-42)\/35. What is the fifth smallest value in 0.1, x, 0, -0.06, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -22*l**2 + 56*l**2 - 30*l**2 - 3*l - 52*l**3 + 53*l**3. Suppose 2*q + 2 = -8. Determine f(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 7*j - 2. Let n(r) = r. Let a be n(3). Let u be v(a). Suppose -5*w - 267 = -u*w - 3*h, 4*w = -h + 215. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686720 to the power of 1\/2, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15260 - -15254. Let o = -0.1 - -0.1. What is the closest to -1\/4 in -5, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) -48130.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide -15*(-3)\/(-18)*(-12 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 7. Is 60\/(-4)*c\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*275062\nAnswer: 5501240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from piiiipiipip?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 16, 104, 270, 538, 932?\nAnswer: 1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1499388 divided by -66.\nAnswer: 22718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 40, 59, 78?\n\"Answer: 19*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, 5, 11, 17?\n\"Answer: 6*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 2*z**3 + 1\/120*z**6 + 17\/60*z**5 + 0*z**4 + 0*z + 0 + 4*z**2. What is the first derivative of r(x) wrt x?\nAnswer: 3*x**2 + 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*v**2 + 12*v**2 + 12*v**2 + (-188 + 33*v + 188)*(1 - 1 - 2)*(0*v - v + 2*v)*(1 + 1 - 1).\nAnswer: -65*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*o + 2*g + g - 144 + 16, 38*o - 3*g + 1041 = 0 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 7*r**2 - 28*r + 124. Let m be n(10). Suppose v = -4 + 22. What is the highest common factor of v and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*r - 84. Let d(q) = q**2 + 12*q + 19. Let h be d(r). Suppose -2*a + h = 2*a. Solve -3*s - a + 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -72045?\nAnswer: 1\/72045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*a + 259 = 1015 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 966 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12191, -24383, -36573, -48761, -60947?\n\"Answer: i**2 - 12195*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3776, 7534, 11292, 15050, 18808?\nAnswer: 22566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -323 + 323. Let j = -830 - -829.8. What is the closest to j in 2\/9, -1\/3, 3\/8, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -756 in decreasing order.\nAnswer: 5, 4, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 267 and 216.\nAnswer: 19224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*h - 28 - 109*h - 30 wrt h?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5859\/(-45) + 2\/10. Let j be b\/(-78)*(-2)\/20. Put -5, j, 4 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 454\/29?\nAnswer: 454\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8.656, 5, 0, -3\/5, -228 in ascending order.\nAnswer: -228, -3\/5, 0, 4, 5, 8.656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797714?\nAnswer: 2, 398857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 - 123*o**2\/5 + 3084*o\/5 + 32032\/5.\nAnswer: -(o - 28)*(o + 8)*(o + 143)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 2*d - 156. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - -0.07. Let u = 2.2 + -0.2. Let o = 1 + -1.1. Which is the nearest to 2? (a) f (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2288617.\nAnswer: 173, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 8*l - 2. Let k be v(3). Let h(z) = 4 - 10*z + k + 3 + 6. What are the prime factors of h(-10)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 78*g**2\/5 + 1303152*g\/5 - 1202976\/5 = 0.\nAnswer: -16708, 12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18468 + 224481*d + 9239 + 9229 - 224483*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 7}. What is prob of sequence vs?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 147151175, 294302350, 441453525, 588604700, 735755875, 882907050?\n\"Answer: 147151175*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1059.1557 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3\/8 (c) 4 (d) 3\/8 (e) -0.0025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 13, d: 5}. Give prob of picking 3 r.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/6 - 4*t**3\/3 + 3*t**2 - 3*t. What is the units digit of x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5 = t - 14, 4*f - 5*t = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfffpffffffpfff. Give prob of sequence fff.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**2 - 1. Let l(z) be the second derivative of 0 + 3*z + 0*z**3 + 0*z**2 - 1\/12*z**4. Give o(l(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5942 is divided by 171?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/23, -71, 3.2, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.2 + 6.2. Sort 0.1, -4, o.\nAnswer: o, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5 + 29*u**4 + 14938*u**3 - 1353*u**2 - 317*u?\nAnswer: 60*u**2 + 696*u + 89628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + 4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -592869 (base 13) in base 7?\nAnswer: -24004566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 4*c - 7. Let l be f(-7). Let b = 122 - l. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*14\/(-224)*-8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -55. Let r = s - 13. Let o = r + 5. Which is the nearest to 1\/3? (a) -0.4 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 3064*a + 7917912\/5.\nAnswer: -2*(a - 8146)*(a + 486)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(147)*1).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -694\/159671?\nAnswer: -694\/159671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2767 + 0?\nAnswer: -2767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 2703081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246279.1ng in tonnes?\nAnswer: 0.0000000002462791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 8*j**2 - 10*j - 3. Let a be h(-7). What is the greatest common factor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 409?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**3 - 2*w**2 - 6*w - 5. What is l(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 32. What is the smallest value in v, -1\/5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 7, g: 2}. What is prob of sequence yyy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -148 (c) 702 (d) -0.026 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 6*d**2 + 4*d - 3. Let n(v) be the second derivative of 3*v**5\/10 - 19*v**4\/12 - 11*v**3\/6 + 4*v**2 + 470*v. What is -8*f(p) - 3*n(p)?\nAnswer: -2*p**3 + 9*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2350756871 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*v - 25314 = 0, 5*q + v - 31987 - 31322 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:21 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2 in descending order.\nAnswer: 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364263843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 28*r**2 + r - 1. Let v be m(-2). Let f = v + -761\/7. Let x = 3.88 - 4. Sort f, 1, x.\nAnswer: x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Suppose -4*k - h + 289 = 0, 0 = -4*k + c*h + 130 + 144. Suppose -2*t = -a - 29, 2*t - 7*t + a = -k. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 2.3. Let n = -0.09 + 7.29. Let s = n - r. Round s to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:24 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1812301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -6.\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g + 2*s + 29305 - 29169 = -5*g + 6*s, 0 = 5*g + 4*s - 40 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58720, -86214, -113708?\nAnswer: -141202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78217 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 - 2*y. Let q be 6*(0 - 4\/(-8)). Does 2 divide h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*s + 31 = s, 4*m = -2*s - 16. Which is the nearest to -1\/3? (a) 3\/14 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3)\/((-2)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r + 3. Let l be s(3). Suppose 3*u + 5*b + l + 4 = 0, 2*u - 4*b = 28. Let f be ((-18)\/(-8))\/(-8 + 2). Put u, -3, f in ascending order.\nAnswer: -3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113914847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:09 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11881324997994 and -0.06.\nAnswer: -11881324997994.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 5*v - 19. Suppose 2*t - 83 = g - 29, t - 2*g - 30 = 0. Let q = t - 12. Calculate the remainder when v is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 678 and 14.\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.10709 + 876.80709. What is q rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-894)\/(-6705))\/(79\/30*2).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 70. Let c = -12 - t. Suppose x + 4*q + c = 13, -4*q = 3*x - 49. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747972 a multiple of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 929, 3162, 7535, 14762, 25557, 40634, 60707?\nAnswer: 86490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvevvvvevpvvveep. What is prob of picking 3 v and 1 p?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 2*l + (2 + 1 - 4)*(-l + 1 - 1) - 1 + 1 + 5*l + 2*l + 7 - 7 + (-3 + 3 + l)*(-4 + 3 - 1) - 2*l + 5*l - 2*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15554?\nAnswer: 2, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14.1? (a) -1\/10 (b) -2.36 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 15*y**3 + 3*y**2 + 2*y + 3. Let o(m) = 14*m**3 + 2*m**2 + m + 2. What is 2*f(r) - 3*o(r)?\nAnswer: -12*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 122 + 140 = 0. Let t be (-200)\/72 + 6 - 2\/c. Let n(l) = -14*l + 2. Determine n(t).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + (-3 - (2 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 8 + (16 - (15 + -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38937946*16\nAnswer: 623007136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 64314.2 rounded to the nearest 100?\nAnswer: 64300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - l. Let x(g) = 52*g**2 + 2. Determine -2*s(b) - x(b).\nAnswer: -54*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 599110 - 1893464 = -12*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -2*v - 23 + 5, -22*b + 5*v + 45 = -15*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*u + 354 = 0, 2*u - 552 = 27*r - 32*r. Calculate the remainder when r is divided by (2\/4)\/(1\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 3. Let j(h) = 4*h**2 + 1. Let x be j(-1). Let o = 134 + -132. Sort o, c, x in ascending order.\nAnswer: c, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (6 + -6 - (-1 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:14 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -16, -33, -56, -85, -120?\n\"Answer: -3*v**2 - 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 - 6*p + 13. Suppose -5*u = 2*v - 133, 2*v + 17 = -8*u + 9*u. What is the remainder when u is divided by h(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -468 - -483. What is the nearest to 0.2 in -7, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2298707*s**4 + 2*s**3 - 836824*s.\nAnswer: 27584484*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 11*z**2 - 8*z + 23. Let v be q(-10). Suppose 0 = v*u - 2765 + 833. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-14))\/(2\/14). Let t be 2 - (5*q)\/(-2). Let a be (-68)\/(-6)*(-18)\/(-12). Is t smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 1 + 4*a)*(-2*a + 8 + 6*a - 2*a).\nAnswer: 4*a**2 + 18*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 = 2*i, p + i = 2*p - 5. Suppose 23*w + 238 - 377 = -254. Sort w, 4, -3, p in descending order.\nAnswer: 4, p, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {t: 3, q: 1, w: 3, c: 1, k: 1, p: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n - 3*b = 0, -3*n + b = 0. Let f be -3*(n - (-2)\/6). Is (f - -6)*(37 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 14) in base 3?\nAnswer: 121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171576, -343157, -514738?\nAnswer: -686319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 + t**2 - t**3 + 2*t**4 - 2*t**2 - 21 + 16 as g + l*t**4 + h*t**3 + z*t + j*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 0 - (6 + -8). What is the units digit of (2\/h)\/((-4)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 0*o + 4*o + 0*o - 4*o + 3*o + (1 - 4 + 1)*(5*o + o - 4*o) + 316 - 520*o - 830 + 521*o.\nAnswer: -2*o - 514","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**7\/2520 - 7*m**4\/6 + 35*m. Let o(j) be the third derivative of h(j). Let a(c) = -10*c**2. What is a(o(i))?\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let k = 5 - v. Do k and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7592 + 0.4592. What is the fourth smallest value in 10, 0.3, 4\/9, z?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5760918?\nAnswer: 2, 3, 271, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1809, -1810, -1811, -1812, -1813?\nAnswer: -1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261.2 - 260.9. Which is the nearest to 4? (a) -4 (b) g (c) -0.4 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 6:37 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-85)\/(-3) - 2\/6. Let u = 16 + s. Suppose 0*r = 2*r - u. Calculate the lowest common multiple of 14 and r.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxvq when four letters picked without replacement from {v: 6, h: 2, x: 2, q: 1, f: 5}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05632995 plus -0.237?\nAnswer: -0.29332995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 0.8, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. Let l = -23.2 + 23. Which is the second biggest value? (a) v (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.3 + 8. Which is the nearest to 1? (a) t (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 0 - 1 + j**3 - 29*j**2 + 31*j**2 - 3*j as c*j + z*j**2 + n + w*j**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 15, -6 - 4 = m + 4*z. Let q = 174 - 172. Solve 10 = -q*x + m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.099 + 1.099. Sort 0, f, -1 in descending order.\nAnswer: f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6\/30 - 7*m**4\/20 - 2*m**3\/15 + 6*m**2\/5 + 8*m\/5 - 708. Find o such that d(o) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/(-8) - -5) + 45\/10. Suppose 0 = -3*s + 5*f + 69, f + 91 = l*s - 18. Calculate the remainder when 60 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 58997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*b**2 - 10*b**3 - 347*b**2 - 21*b**2 - b**3 - 4 + 4 + (-5*b + 0*b + 4*b)*(-5*b**2 + 5*b**2 + 2*b**2) as u + w*b + s*b**3 + p*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -0.3, -0.32, 0.4, -6\/31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 21. Suppose -5*k = p, 3*g + 3*k - 364 = -g. What is the remainder when g is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 141? (a) -17 (b) 1 (c) 1\/5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.8 (b) -14 (c) -1.62 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14247 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -17. What is the highest common factor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from uuurccccfafrrr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12 - (-20)\/(-24). Is w >= 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1144 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 79, 129?\n\"Answer: 50*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Let s(t) = t**3 + 7*t**2 + 5. Let i be s(-7). Find the third derivative of -i*c**5 + 3*c**a + 4*c**5 - 6*c**2 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2838174615291 and -138.\nAnswer: -2838174615429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*h**2 - 1 + 1173*h - 2*h**2 + 0 - 1173*h.\nAnswer: -81*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 284430 and 0.06.\nAnswer: 17065.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/8833?\nAnswer: 1\/8833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2919799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1374*s**2 - 5477?\nAnswer: -2748*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2205 and 140679.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 65 + 5*f**3 - 25*f**2 + 146 - 55.\nAnswer: 5*f**3 - 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 14268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 14 = -k + 4*u, -3*u = 2*k + 11. Suppose 0 = f - 3*h - 2*h - 25, 0 = -k*h - 10. What is the fourth smallest value in -2\/5, -4, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose -7*h + 2*h + 125 = s. What is the greatest common divisor of h and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 23*o**6\/30 + 19*o**4\/6 + 9*o**2. What is the second derivative of l(y) wrt y?\nAnswer: 552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 44*j + 1553. Calculate u(-35).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 28*v = -280. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -52. Calculate the remainder when q is divided by ((-4)\/(-7))\/(5\/35).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*u - 24. Let m = u - 8. Put -5, 18, m in decreasing order.\nAnswer: 18, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-2)*(-7)\/49)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000177 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-32)\/(-4). Let o(x) = -3*x - 5. Suppose d + 3 + 10 = 0. Let z(q) = -6*q - 10. Let y(l) = d*o(l) + 6*z(l). Give y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 2193?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -3\/7, 4.9, -0.07?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20554 and 17686.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/7 (b) -2\/7 (c) -0.5 (d) 10144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*n**4 + 6*n + 1639 with respect to n.\nAnswer: -192*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 3. Let l(z) = -4*z + 14. Let n be (-159)\/9*-3 - -4. Let f = 71 - n. Determine f*x(d) + 3*l(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -610772354*t - 352456752.\nAnswer: -610772354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8 + -10 - -2463 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {q: 3, j: 2, p: 3, z: 7, s: 2, h: 1}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0*k**3 - 7*k**2 - 1\/60*k**5 - 1\/12*k**4 + 0*k + 0. Give b(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, r: 8, x: 7, u: 1}. What is prob of picking 2 x, 1 u, and 1 o?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -752 + 796. Let c = -3 - -147. Let u = c - b. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 197 = m, -3*m = w - 6*m - 91. Suppose -b + w = 3*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 21538?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67\/6 - -29\/3. What is the second smallest value in -3\/5, 5, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 14}. Give prob of picking 1 q and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13846, -13845, -13844?\nAnswer: -13843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17967 - 0.5\nAnswer: -17967.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65, 73, 91, 125, 181, 265, 383?\n\"Answer: v**3 - v**2 + 4*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 - 2963 = 6*n. Let l = -326 - n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -b + 3*z - 8*z, z + 4 = 0. Suppose b*k - 2*x - 8 = 0, 4*k - 3*x = -6*x + 16. Calculate the greatest common divisor of 28 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60*r*y**2 - 704139*r + 12325*y**2 wrt y?\nAnswer: -120*r*y + 24650*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (11 - (13 + -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**6 + 48*m**5 - 314*m**2 wrt m?\nAnswer: 120*m**3 + 2880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 25. Let n be l(-7). Suppose b = r + n - 0, -5*r - 3 = -b. Suppose -c = -4*g - 18 - 12, r = -3*c + 3*g + 81. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w. Suppose w = 4*t - 6*t. Solve t = i + 2*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -9. Let r = -7 - c. Let u(g) = g. Calculate u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 2*s**3\/3 + s**2 - 5*s. What is the units digit of l(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257504733 - -83.\nAnswer: 257504816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232966?\nAnswer: 2, 116483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.0339 + -0.0339. What is the smallest value in 3\/25, 3\/2, h?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*f**3*r + 2992799*f**3 + f**2*r + 2*f**2 + 131822*f*r + 901*r wrt f?\nAnswer: 252*f*r + 17956794*f + 2*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3838188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157385\/132 - 13230\/11. What is the common denominator of -91\/306 and b?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16929 and 265012?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, l: 3, z: 2, p: 6}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 750, 4, 5 in decreasing order.\nAnswer: 750, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 59*b + 6716. Calculate t(-65).\nAnswer: 2881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**5\/12 - 11*n**4\/24 - 5*n**3\/6 + 2*n**2 - 8*n. Let p(u) be the first derivative of y(u). What is the units digit of p(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 12*n**2 - 3*n + 3. Let k(s) = 4*s**3 - 11*s**2 - 2*s + 2. Calculate -2*b(y) + 3*k(y).\nAnswer: 6*y**3 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3516.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:34 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4167906020899.3300069 + -4167959419343.13. Let o = h - -53398429. Let j = -14.8 - o. What is j rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414865063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 50.\nAnswer: 9\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102.4 times -0.1?\nAnswer: -110.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 6:53 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33891)\/8242*(-5692)\/129150. Let v = -1\/23775 + r. Let o = v - 27207\/9184. Calculate the common denominator of 33\/20 and o.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1071 - -257041\/240. Let c(d) be the third derivative of -16\/3*d**3 + 0*d + i*d**6 + d**4 - 1\/10*d**5 + 0 - 6*d**2. Suppose c(z) = 0. What is z?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -41*n**3 - n + 3*n**3 - n + 2*n**2. Let j be a(2). Let f = -97 - j. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:34 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 111 = 3*m + 32*m. Put 4, 0, m, -15, -1 in ascending order.\nAnswer: -15, m, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 11. What is the remainder when 18\/(-45) + (-144)\/x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2005313*q + 4*l - 4 = 2005311*q, -q - 9*l = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675784 is divided by 81.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -55962070 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126504 and 9?\nAnswer: 126504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, k: 3, c: 2, f: 3, o: 1, g: 1}. Give prob of picking 2 s, 1 f, and 1 k.\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 0, 6, -2\/11 in decreasing order.\nAnswer: 6, 1.4, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -126877.53752 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = 7. Let s be (-2)\/6 + 376\/3. Suppose 4*x = -x + 25, w*x = -2*p + s. Calculate the greatest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 d when three letters picked without replacement from {x: 4, d: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*t = 6, 4*t = 61*y - 62*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 + 2*l**3 + 1 + (-33 - 20*l**3 + 33)*(1 + 1 - 5) + 4*l**3 - 4*l**3 + 3*l**3.\nAnswer: 65*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and 5.\nAnswer: -0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let b be g(5). Suppose -3*c - 22 = b. Find the common denominator of -15\/4 and ((-1)\/c)\/(160\/4290).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c**3 + 13*c**2 - 16*c - 10. Let z(i) = 5*i**3 + 4*i**2 - 5*i - 3. Calculate -2*m(f) + 7*z(f).\nAnswer: 3*f**3 + 2*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/7 + 41092*a\/7 - 205360\/7.\nAnswer: -4*(a - 10268)*(a - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -5, 5 in increasing order.\nAnswer: -110, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67\/(-2)*(-6)\/3. What is the units digit of 1*t - (-2)\/(-7)*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 24 + 41 - 5*x + 8*x + 8*x. Let g be t(-4). Solve 0 = 3*b - a - 2*a, 5*a + g = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004877107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-85) - (-2)\/(-17). Let r(x) = x**3 + x**2 - 2*x + 8. What is the smallest common multiple of r(p) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i + 2394 - 354 = 0 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:47 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 196999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -31*f**2 - 547*f - 1891. Determine s(-14).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47600?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -463975*t - 358813 wrt t?\nAnswer: -463975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.96346 take away 522?\nAnswer: -530.96346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x + 32*x - 13*x. Let r(t) = 4*t - 3. Let s(f) = 8*f - 5. Let z(w) = -5*r(w) + 3*s(w). Calculate z(n(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 63. Let g be l\/(3966\/993 - 4). Let a = g + -174. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-104\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -t + 55, -3*o - 4*t + 175 = 0. Let p = o - 22. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 16. Calculate the lowest common multiple of 6*-2*3\/o and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428458 is divided by 50418?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**5 + 4*l**5 - l**5 + l**2 + l**5 - l**2 + (2*l**4 + 3*l**4 - l**4)*(0*l + 0*l + l).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 - -104. Let u = -141 - k. Which is the third smallest value? (a) u (b) -0.4 (c) -17\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 17*r**2 + 8*r + 136. Let f be s(-17). Solve -4*h - 32 = -5*q - 7, f = 2*q - h - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 486, 55, -5417 in decreasing order.\nAnswer: 486, 55, -5417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39962244 divided by 5708892.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*o - 4*o - 29931 - 73635. Calculate the remainder when o is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 2337330.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2859973.17 rounded to the nearest one thousand?\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7981 - 229*j - 7981)*(3 - 2 + 0)*(4 - 1 + 0).\nAnswer: -687*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4393*v + 35243. What is a(8)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015417 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -977549 or -976360?\nAnswer: -977549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Let n be (8\/(-6))\/(3\/(-9)). Solve -g*a + n = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbwrwwfw. What is prob of picking 1 r and 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -563?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110482 by 8.\nAnswer: 55241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 15*c - 32. Let p be j(17). Is p\/6 - (-9328)\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = -6*s. Suppose -2*a + 246 + 834 = s. What is the greatest common factor of a and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*b + 30 = 0, 5*b - 30 = -2*p + 5. Suppose 0 = -3*u + 3*f + 66, 0*f + 2*f - 75 = -p*u. Suppose 1 + u = 3*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 8*x + 2. Let w be f(-7). Let y = -9 + w. Suppose 2*h + 5*q - 113 = y, -5*q + 2*q = -9. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4 + 8. Let r be ((-20)\/8)\/(2\/o). Let l = r - 3. Is l less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 351661800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 384977090 to the power of 1\/3, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a second in milliseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(2\/9))\/h))**(-5\/7))**(-2\/7)*(((h**(-2\/13)*h)\/h)\/(h\/((h*h*h**(-5)*h*h*h)\/h)))**(-1\/38) assuming h is positive.\nAnswer: h**(3352\/15561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 33 = -5*v. Calculate the smallest common multiple of v and -8 - (-259)\/35 - (-76)\/10.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9, -v + d + 4 = 3. Suppose v*j + 21 = 7*j. Let l = 66 + -31. What is the greatest common factor of j and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419964.8 nanograms to kilograms.\nAnswer: 0.0000004199648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 + 253. Let i be 22\/k + (-185)\/(-11). Suppose -3*l - 27 = -4*q + 39, q - l - i = 0. What is the remainder when 57 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24165 (base 8) to base 15\nAnswer: 3107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, -3*m + 2*y = m - 12. Suppose 0 = 5*d + p - 17, -3*p = -2*d - 0*p. Let f be 1*(3 - d) - 0. Solve f = -v + m + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362183 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3333540527.\nAnswer: 3333540527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4002 = -11*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, 0.3, 0.46, -44.4, -5, -1\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {q: 1, r: 1, p: 1, b: 3, l: 4, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 48*b**2 - b + b + 27*b**2 - 59*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 29 + 35)*((-3 + 4 + 0)*(0 + 1 - 2) + 2 + 2 - 2)*(-2 - 5*p - 6*p + 1).\nAnswer: -594*p - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236 (base 11) in base 5?\nAnswer: 22422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Let k be 3 + 1 - 89\/((-27768)\/(-1008)). What is the closest to 1 in -0.5, -2\/11, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*c**2*k**2 + 53361*c**2*k + c*k**2 - 2*c - k**2 - 4269*k + 69 wrt c.\nAnswer: 158*k**2 + 106722*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*y + 9*y + 19*y + 15)*(-1 + 2 - 2 + (1 - 2 - 1)*(-4 + 1 + 2)) in the form g + t*y and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 4*m**2 - m**2 + (79*m - 578 + 578)*(2*m - 3*m + 2*m) - 4*m - m**2 + 4*m.\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2802346l?\nAnswer: 280.2346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 6*b**2 - 5. Is p(-4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6266 - -69?\nAnswer: -61a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*y, 48*y - 46*y - w = 7. Solve 4*z = -y*s - s - 25, -z - s = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3894, 15194, 34046, 60450?\nAnswer: 94406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -28. Let b be -5*8\/q - 11\/5. What is the third biggest value in b, -3\/5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = q + h, 5*q + 1190 - 1210 = -3*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -66. Suppose 40 = 5*t + 3*r, 3*t = d*r - 2*r + 24. Suppose -1 = -y - a, -t - 7 = -3*y + a. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 1. Suppose 4*u = 3*u + 3, -3*l = -4*u + 21. Give g(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 26\nAnswer: -21\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18137591*s - 57302497?\nAnswer: 18137591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950707807.\nAnswer: 7, 19, 1973, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -52324979 divided by 5?\nAnswer: -52324979\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-3.9785.\nAnswer: -0.39785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/1*-2. Suppose -3*k + 2*q + 121 = 0, 187 = s*k + 5*q - q. Let p = k + -39. Which is the nearest to p? (a) -2 (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**7\/2520 - g**4\/3 + 2*g. Let n(j) be the third derivative of t(j). Let h(z) = 8*z**2 + 2. Calculate n(h(y)).\nAnswer: -64*y**4 - 32*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -396*u + 2*u**3 + 791*u - 398*u + 3 - 132*u**2 as o*u + a + b*u**2 + v*u**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4860)*-1*1)\/(sqrt(96)\/(sqrt(128)*4)).\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 464095544 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5\/2))**(6\/11) assuming l is positive.\nAnswer: l**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1512 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a - a**2 + 9 + 26*a - 14*a to the form s + f*a**2 + i*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20011221110021 (base 3) to base 15\nAnswer: 44d924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 161786.3 millilitres?\nAnswer: 161.7863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 376*h - 27652. Calculate q(-63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1512)\/(-1386))\/((-21)\/77)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 5 (c) -3 (d) 26\/9 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-108))\/((-3)\/32)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**4 + 4*f**3 + 932*f**2 - 931*f**2 - 6*f + 1 - 2*f**3 to the form i*f + k*f**4 + z + m*f**3 + v*f**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 + 37 = -9*q - 71 + 18 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1277?\nAnswer: -1277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000262586278 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 2\/23 (c) -736.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.342, 1, -0.4?\nAnswer: 0.342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmvmmvxvmtvmvtm?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (84\/(-9))\/7 - (-6)\/((-72)\/(-203620))?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1911842 rounded to 1 decimal place?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 - 3) + -1. Let f be (1*p*3)\/1. Let n = f - -4. Solve 3*y + n - 16 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 12 = -4*j, -4*x - 23*j + 3 = -22*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 26*w**2 - 331*w - 22. Calculate i(-9).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 15*y**2 - 15*y + 1. What is the remainder when q(6) is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/21 + 1762*i**2\/21 - 69184*i\/3 + 39272960\/21 = 0.\nAnswer: 145, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0183276966 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.245152 days to minutes.\nAnswer: 8993.01888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Is 4 a factor of -4 + 52\/g + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.1904.\nAnswer: -1.3328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 736331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -551 - -1383. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/2 of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 23*j**2 - 50*j + 224. Give w(-21).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 8*l + 5182 - 5211 in the form j*l + f and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let z(b) = b + 4. Let v(o) = -2*y(o) + z(o). Let w be v(-4). Suppose 0 = -w*u - u + 105. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3\/2)*12. Let c = 11 + m. Suppose c*s - 12 = s - 3*z, 2*s - 6 = -5*z. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1117228, -2234417, -3351602, -4468783, -5585960?\nAnswer: -6703133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69123485 to the nearest integer?\nAnswer: 8314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 609410342, 609410340, 609410338, 609410336, 609410334?\n\"Answer: -2*n + 609410344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -749 - -753. Suppose 0 = -3*u + 54 + 6. Find the third derivative of -17*p**2 - 20*p**4 - 10*p**5 + u*p**c + p**5 wrt p.\nAnswer: -540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(720) - (sqrt(720) + 2)) + 3))**2 - (-4 + -1 + sqrt(20) - -6*(sqrt(20) - (sqrt(20) + (sqrt(980))**2))).\nAnswer: -2*sqrt(5) + 5894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -39. What is the closest to v in 4, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 3359465.\nAnswer: -201567.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = -25. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1115 - -13075. List the prime factors of r.\nAnswer: 2, 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -14*u**2 + 20\/3*u**3 + 0*u - 12. What is the second derivative of l(a) wrt a?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - x + 156 = 0, 418 = 4*m - 3*x + 126. Suppose 0 = -64*n + 634 + 582. Calculate the highest common divisor of n and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 5*t**2 - t + 7. Suppose 3 = 3*g - 6. Suppose -g*h = -h - 20. Calculate the least common multiple of i(-5) and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 8, 1\/5, -2\/368721?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 - 3*y**2 + 3*y**2)*(-24*y - 2*y - 39*y) - 4 + 4 + 2*y**3 in the form g + h*y + r*y**3 + b*y**2 and give r.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gguguuguuugu. What is prob of sequence guu?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, g: 9}. What is prob of picking 1 g and 1 y?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*b + 2*n = 390, 0 = -2*n - 10. Calculate the highest common factor of 8 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + 5 + -166 - (-25 - -17).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*r - 14. Let y(q) = r*q**2 - q**2 - 11 - 3*q**2 - q**2 + 11*q. Let u be y(10). Which is the second smallest value? (a) 4 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40982 and 3906?\nAnswer: 2581866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y + 1. Let s(d) = 21*d - 1. Let o = -11723 + 11718. Give o*s(j) - 7*l(j).\nAnswer: -7*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6591268 or 6591269?\nAnswer: 6591269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117105.\nAnswer: 3, 5, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w**3 - 1532*w - 9592?\nAnswer: 9*w**2 - 1532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001 + 5212.\nAnswer: 5211.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -8, 2, 0.4, 0.15 in decreasing order.\nAnswer: 2, 0.4, 0.15, -3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1467, 1203, 939?\n\"Answer: -264*j + 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -125, -533, -1213, -2165?\n\"Answer: -136*r**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 356786598.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 10. Suppose -3*c + 5*v = -p, 4*c = c + 4*v + 18. Let i(g) = -27*g**2 + 8*g**2 + 16*g**c - 3*g. Give i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -0.4, -2\/119, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9438527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11899661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -6. Is 479\/9 - n\/54 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 0 + 125*(323\/(-340) - 28\/560)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6981*f**4 + 4 + 3*f - 6982*f**4 - f**3 - f + 2*f**2 to the form y*f + i + t*f**3 + q*f**4 + h*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 9) to base 4\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3706 = -19*m - 3516 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.33 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*l = 4, 263*q + 4*l = 259*q + 8. Solve -3*x + 22 = -q*s, 18*s - 16*s = x - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -11\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 2 = 14*l. Suppose 5*p - 4080 = -l*j - 312, 0 = -2*p. Let c = 13159\/7 - j. Calculate the common denominator of c and -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 4)*(0*k**2 - k**2 + 2*k**2) + 129*k**2 - 154*k**2 - 464*k**2.\nAnswer: -492*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w - 35. Let x be l(-8). Put 2, x, -5 in ascending order.\nAnswer: -5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.82 + 1.63. Let l = k - 1.1. Let t = 37\/116 + -2\/29. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 46?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -43.93. Let v = h - -0.07. Let c = 5.55 + v. Round c to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 47. Suppose 0 = -8*z + 3*z + 30. Suppose -r + c + 14 = -f*r, -z = 2*r - c. What is the nearest to -2\/7 in r, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1202 + 43?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 5*l + 15. Let k be 1\/(((-10)\/(-2))\/(-30)). Does 10 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*i**2*q**2 - 8*i**2*q - 153*i*q**2 + 105*q**2 - 1191002*q wrt q.\nAnswer: 82*i**2 - 306*i + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + z**2 - z**2 - 1 + 1 - 3*z**2 + (-1 + 1 + 2)*(-5 + 5 + z**2) + (2*z + 3 - 3)*(-z + 2*z - 2*z) + 0*z**2 - 9*z**2 - 2*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689490571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0021655 micrograms?\nAnswer: 0.0000000000021655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k**3 + 2 + 3*k + 3*k**3 - 3*k as o*k**2 + i + m*k**3 + l*k and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -206, -259, -316, -377, -442, -511, -584?\n\"Answer: -2*o**2 - 47*o - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 745*l + 9. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4326, -4328, -4330?\n\"Answer: -2*r - 4324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -13. Suppose -2*x + w*x - 16 = 0. Calculate the greatest common divisor of 6 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 3154012 = 1220512. Suppose -12*i + 44694 = -h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - (58 - 33) - 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1700))**2 + -3 + 1)*-1.\nAnswer: -1699 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 163*u - 15. Let b be t(-1). Let i = b - -183. Let o be (-2)\/7 + 1432\/308. Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -15. Suppose 2*p = 2*u + 80, 2*u + o*p + 89 = 2*p. Is (-1 + u\/(-3))*3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 6913*p**4 - 15 - 371*p + 6914*p**4 - 2*p**3 to the form n*p**2 + a*p**4 + c*p + j*p**3 + o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003989105 to five decimal places.\nAnswer: 0.00399","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is (12\/21)\/((-10)\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25295\/13401 - -2\/1489. Let i = 774372\/5 + -155590. Let g = -39213\/55 - i. Find the common denominator of g and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/42 - 1114144\/(-35) - (-2)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/3713 and -53\/5?\nAnswer: 18565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454.91 + 455. Let v = 0.6 + -1. Put 3, a, v in increasing order.\nAnswer: v, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1347 + 1347 + 476*r**3.\nAnswer: 476*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -12, 3, -5 in ascending order.\nAnswer: -12, -5, 6\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659666 is divided by 436.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-1 - (-36)\/20. Let s be (-5)\/(-1*(4 - 3)). Sort s, a, 4\/3 in ascending order.\nAnswer: a, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*t + 18, -6*j = -2*j - 3*t + 7. Let f be 3\/(j*9\/12). Suppose -f*i = -i - 5. Which is the closest to 2? (a) i (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/205 equal to -8508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/1023 and -43\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31154.09 to the nearest 10.\nAnswer: 31150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2561\/1036 + -69\/37. Calculate the common denominator of b and 53\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-7)*(-13635)\/7272?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -105, -202, -289, -360, -409, -430, -417, -364?\n\"Answer: y**3 - y**2 - 101*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 0)*-8*4\/24. Let o(p) = -2*p - 1. Calculate o(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 2 + 4678\/2336. Let a = v - -33857\/5840. Find the common denominator of -67\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 = 9*u - 2373. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5\/l)**(1\/2))**(-2\/13) assuming l is positive.\nAnswer: l**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 14*d + 14. Let c be v(-6). Suppose c*t + 11*t - 78 = 0. What is the smallest common multiple of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 4. Suppose -y - 4*c = -12, 5*y - 3*c - 41 = -4*c. Let i be r(y). Let x(o) = 2*o**2 + 4*o + 3. Let z be x(-2). Sort -1, i, z in decreasing order.\nAnswer: z, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = -2*x, -k - 2*k + 2*x - 7 = 0. Let q(m) = -2*m**2 + 4. What is q(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173.989 or 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14936 + 3467. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 66. Suppose 25 = 2*p + 4*u - 43, 0 = -5*u + 10. Calculate the remainder when d is divided by (42\/(-8))\/(p\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 109, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c + 4*c - 2*c)*(-3*c - 7*c + 35*c) to o*c + r + g*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1843 - 1837. Solve -4*w = -r - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594.936kg to nanograms.\nAnswer: 594936000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -594, -586, -578, -570?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -18*a**5 - 1212*a**4 - 7946*a**3 - 1440*a**2 + 7256*a + 3360 = 0.\nAnswer: -60, -7, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/855 and 49\/820895.\nAnswer: 7388055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -10, -3797, 3 in increasing order.\nAnswer: -3797, -10, -6, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 18*h. Let w(t) = -5*t - 8. Let a(j) = 6*j + 10. Let u(c) = -4*a(c) - 5*w(c). Calculate u(b(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13. Let r(u) = -3. Let v(p) = 2*n(p) + 9*r(p). Let b(w) = 8*w + 1. Let f(i) = -b(i) - 2*v(i). Is 16 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f - 1. Suppose -4*v = 4*i - 24, 8 = 6*v - 2*i + i. Give r(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -102?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141074 or 141106?\nAnswer: 141074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 96. Let y(j) = j**3 + 7*j**2 - 17*j + 13. Let g be y(l). Solve 5*i + 4*v - 3 + 16 = 0, -5 = g*i + 5*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 587 + 1378. List the prime factors of n.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -989200, -989199, -989198?\n\"Answer: i - 989201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 151364777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103935720 by -7.\nAnswer: 14847960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 - 58*a**2 + 340*a - 71. Let k(r) = r**3 + 11*r**2 - 68*r + 14. Let n(t) = -11*k(t) - 2*l(t). Let f be n(6). Solve f = -q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**14))\/k*((k*k**(6\/5))\/k)\/k*k*k**(1\/4)\/k*(k*(k\/(k\/(k*k**(-14)))*k*k)\/k)\/k)**36 assuming k is positive.\nAnswer: k**(-4779\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)*o*o**(-2\/15))**(-2\/15)\/(o**(-2\/9)*o**(-2\/5)*o)**(-45) assuming o is positive.\nAnswer: o**(4159\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966444 to the power of 1\/2, to the nearest integer?\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + 4 - (10 + -18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -934219 or -934220?\nAnswer: -934220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -0.58.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1601239 and -1.68?\nAnswer: -2690081.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/6 - ((-12540)\/171)\/(-22)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywww when four letters picked without replacement from {o: 4, w: 3, t: 2, e: 5, y: 5}.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -304\/9*x - 160\/9*x**2 - 4\/9*x**3 + 0.\nAnswer: -4*x*(x + 2)*(x + 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 4. Let r(y) = 5*y - 25. Let u(a) = -5*l(a) - r(a). Let m(p) = -6*p**3 + 2*p**2 - 9*p + 8. Let o be m(1). What is u(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 82*x - 18. Let f(p) be the first derivative of 81*p**2\/2 - 16*p + 2. Let m(d) = -6*f(d) + 5*s(d). What are the prime factors of m(-3)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3164 and 1142995.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58524.\nAnswer: 2, 3, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*s - 74*s - 55 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 3*r**2 - 3*r**2 - 4*r**2 + 2*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(18\/(-44) - 10\/(-20)). Solve f = -6*a - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/((-22)\/11)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**2 + 2*f + 3. Let t(d) = 6*d**2 - 2*d - 4. Suppose 8 = -5*j - 7. Give j*t(s) - 4*l(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 30*f - 1. Let u(p) = -51 - 271 + 2*p + 322. Determine t(u(w)).\nAnswer: -4*w**2 + 60*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f - 31 + 76. Suppose 0*g - 2012 = -3*o - 2*g, f*o + g - 2008 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47532 = 114*b - 47348 + 92486 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 871 * -0.1581.\nAnswer: -137.7051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 942860 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: What is the nearest to -0.048 in -1\/5, 2\/3, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(21)\/sqrt(3) - sqrt(7)) - (sqrt(7) - (sqrt(21)\/sqrt(3) + 3)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*q**4 + 75*q**4 + 93*q**4 + (q**2 - 4*q**2 + 5*q**2)*(-q + q + q**2) + (2 - 3*q - 2)*(-11 - 16*q**3 + 11).\nAnswer: 173*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Suppose 2*h = -3*h. Solve 0 = 4*s - a*x - 7, -2*s + 0*x + 3*x + 5 = h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:31 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 1. Suppose 8 = 15*z - 13*z. Sort -3, j, z in increasing order.\nAnswer: j, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:35 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 2*l + 15*l + 18*l.\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -t, 5*h - 6 = -5*t + 4*h. What is the closest to 1 in 0.1, t, 58\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 8*f + 4. Let y be t(9). Let j = y - 161. List the prime factors of j.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3418482, -3418461, -3418426, -3418377, -3418314?\nAnswer: -3418237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25398318 a multiple of 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 200553*d + 46. Let q be a(18). What is q rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120987 divided by 3\nAnswer: -40329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/55104)\/(7\/98)?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -482 - -503.05. Let j = f - 0.05. Let h = j - 21.05. What is the biggest value in h, -1\/3, 0.3, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 2*i + 68*i - 63*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-2)\/30). Let p(d) = -d**3 - d**2 + d + 3. Let z be p(-2). Solve -5*t + o + z = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 > 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:56 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14139 - 10880. Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**2 + 2*o - 10. Suppose 26 = 5*a + 51. Is 11 a factor of p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -774402, -774401, -774400, -774399, -774398, -774397?\nAnswer: -774396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 6*i - 21. Let v be l(7). Suppose -73*t + v*t + 1713 = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:05 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + -2 + (37 - -31).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.720596 millimeters?\nAnswer: 1720596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/16)\/(185\/(-740))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18*p**2 - 6*p - 7. Let v be k(-5). Suppose -v - 73 = -3*d. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11775633 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 + 12*m - 11. What are the prime factors of a(9)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82934 is divided by 1218.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.1. Let z be ((-1)\/2)\/(66\/4431). Let d = z + 135\/4. Which is the nearest to f? (a) 0.4 (b) d (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -28 + (-41 - -62) + 134\/18. Suppose 3*c = 5*y - 5, -3*c + 4*c = -5. Let d be -1*(y - (-11)\/5). What is the second smallest value in -5, -0.3, i, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 16) in base 10?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m**2 + 9*m - 4. Let w(l) be the second derivative of l**4\/2 - 2*l**3\/3 + l**2 - 7*l. Determine -4*i(u) - 9*w(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5161 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*g - 1 + 3, g = -u. Is g bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201010111021202 (base 3) to base 5\nAnswer: -10100303424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 10544.7 milligrams?\nAnswer: 10544700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 6*q + 21. Determine x(10).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9666 minus 0.37533926683?\nAnswer: 9665.62466073317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 22*d - 891. What is the highest common factor of 27 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 166. Is 6\/u - (-5826)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -16, 36 = 5*h + 2*f + 44 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d + 0*d + 3*d - 3*d - d + (-2*d + d - d)*(-5 + 3 + 3) - 2*d + d + 3*d + 4*d + d + 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 751006983 divided by -250335661.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - 2\/6. Let x be (2\/w)\/(2\/3). Which is the third smallest value? (a) x (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75524?\nAnswer: 2, 79, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3547518542 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15064 + -14648. What is the remainder when l is divided by 79?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 300557.8 millilitres?\nAnswer: 300.5578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 4 + 4)*(4 - 1 - 2) + 0*u**2 - 6*u**2 + 5*u**2 + (-2 + 5 - 1)*(3 - u**2 - 3) - 4*u**2 + 5*u**2 + 0*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/1729?\nAnswer: -6\/1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/12)\/(3\/6). Let h be k - 8*(-5)\/10. Suppose 4*j - 13 - 47 = -2*c, -h*j - 25 = -c. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -416*m**3 + 5*m**2 + 7*m + 1. Suppose 0 = -28*o + 27*o - 1. What is the units digit of r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/76680 and 53\/310140.\nAnswer: 132119640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 260119, 260145, 260171?\n\"Answer: 26*b + 260093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.106997 litres in millilitres?\nAnswer: 8106.997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/12 + 43*d + 23. Let y(o) be the first derivative of q(o). Let m(s) = 2*s + 5 + 1 + 6. What is y(m(v))?\nAnswer: 4*v**2 + 48*v + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*r = -6215 - 2003 + 2190 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -54, -88, -138?\n\"Answer: -8*g**2 + 6*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 37 = -32. What is the common denominator of -34\/55 and (m + 111\/90)*(-354)\/(-84)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/25*(-3)\/(-36)*10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -5 (c) 1425009 (d) 0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -1\/2*v**2 + 0*v**4 - 1\/10*v**5 + 0 + 0*v**3 + 5*v. Differentiate c(h) with respect to h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/t**(4\/3))\/t))\/t)\/(t*t**(9\/2)) assuming t is positive.\nAnswer: t**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 27256*q**2 - 46211780*q - 746382400.\nAnswer: -4*(q - 3415)**2*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - 0) - -2 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 = 2*m - 15, -4*m = -y - 28. What is the remainder when 19 is divided by (-9)\/(-27) - (-58)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24239 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 118559 (b) -1\/2 (c) 640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 8 = 2*z, 4*z + 5*h + 177 = 205 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5 + y**2 - 5*y + 5*y**2 - 5*y**2. Let n be u(8). Solve 4*r = -3 + n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*p = -2*m + 32, 20 = m - 2*p. What is the remainder when 124 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + g - 4. Let x be y(0). Let a = x - -6. Solve 4*c - a = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 21*m**5\/5 + 95*m**2\/2 + 2*m + 10. What is the first derivative of t(l) wrt l?\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 2 (b) 4 (c) -0.5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, -97, -3, -12 in decreasing order.\nAnswer: 1, -3, -4, -5, -12, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**3 - 2 + 13*p + 0 + 1 + 2*p**3 as z + t*p**3 + h*p + d*p**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 0*r - 2\/9*r**3 - 1\/6*r**4 - 10 - 1\/9*r**2 - 2\/45*r**5. Factor q(d).\nAnswer: -2*d*(d + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 11 = -j, 0 = 2*f - 4 + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24712.\nAnswer: 2, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l - 2*l + 2 - 3. Let h(k) = -74*k - 15. Let b(y) = -34*y - 7. Let r(i) = 13*b(i) - 6*h(i). Determine -10*n(d) + 4*r(d).\nAnswer: -2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 15, -106, -349, -756, -1369?\nAnswer: -2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-10 - -31) + -41)) + 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, -23 in descending order.\nAnswer: 4, 2, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2081? (a) -3\/4 (b) 0.2 (c) -2556\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/15 - i**5\/12 + 5*i**4\/24 - 5*i**3\/6 - 2*i**2 + 25. Let q(m) = -4*m**3 + 2*m**2 - 2*m + 2. Calculate -5*q(o) - 2*y(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -439, -436, -431, -424, -415, -404, -391?\n\"Answer: t**2 - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3243728ml?\nAnswer: 0.0003243728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-25))*j**(-39))**(-31) assuming j is positive.\nAnswer: j**1984","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 + 9 - (-1 + 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13189\/6290 - -2\/629. Find the common denominator of 25\/12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*i + 0)*(2 + 2 - 6) - 3*i + 26*i + 21*i in the form f + y*i and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5637 - -5636.965074. Let w = -26.035426 - k. Let g = w - -26. What is g rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4432, 8954, 13682, 18718, 24164?\nAnswer: 30122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57\/4 (b) 0.06 (c) -17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 399985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -1\/21*z**7 - 2\/3*z**4 - 4*z**3 + 9\/10*z**5 + 0*z**2 + 0*z**6 + 0 + 115*z. Let l(j) = 0. Calculate j.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3597 divided by -1\nAnswer: -3597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 0.15 (c) 40 (d) -60 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 2*b + 7. Let c = 10 + -8. Suppose -2*s - c*o - 19 = -3*o, -4*s - 48 = -4*o. Calculate the remainder when h(s) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**(-45)*(q*q**(-3))\/q**(1\/8) assuming q is positive.\nAnswer: q**(-1817\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 8*u + 0*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {b: 1, q: 6, p: 4, z: 1, e: 8}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4352*i = -3884*i - 5616 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1832 + 1833 - (-1 + -1 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-90) - 2\/12. Let x be 32\/(-5) + 5 - -2*1. Which is the smallest value? (a) 4\/5 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61092.\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n - 1. Let f(t) = 3*t - 4*t - 6 + 2*t + 2. Let h be f(5). Determine a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2241478 + 2241478 + 20023*m)*(2 + 2*m + 0*m - 4*m) to the form d + c*m + l*m**2 and give l.\nAnswer: -40046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*u**2 + 0*u**6 + 16*u**2 - 3*u**6 - 15*u**6 wrt u?\nAnswer: -2160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*s**2 - 331*s + 2809*s**2 - 2 + 664*s - 333*s as b*s + x + i*s**2 and give i.\nAnswer: 2727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -1 - ((99 - 84) + -8 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 6*k**2 - k. Let z be d(-6). Suppose 4*m = 8, -4*m + 6 = -2*v + 2. Solve a - z = -v*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43209, 86429, 129659, 172899, 216149?\n\"Answer: 5*z**2 + 43205*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i**2 - 24*i**2 + 15*i**2)*(-2*i**2 + 3*i**2 - 2*i**2).\nAnswer: 33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0)\/((-14)\/(-35)). Suppose o - 2*c - 282 = 0, -o - o + 562 = -2*c. Suppose u + o = i*u. Calculate the greatest common divisor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33837214903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-13 - -14) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.85264 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1520 = -2*i + 11*i + 11*i. What is the least common multiple of 380 and i?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -131, -184, -243, -308?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 11 = 2*z + 10*n - 12*n, 6*z - 18 = 4*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 234.6.\nAnswer: 234.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 510 and 6?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505571303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + d + 513*d**3 - 179*d**3 + d - 171*d**3 - 171*d**3 to the form u*d**2 + t*d**3 + y*d + o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4878, -8930, -11424, -11580, -8618, -1758?\n\"Answer: 130*x**3 - x**2 - 4959*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-33))\/(9\/((-792)\/16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -36*z. Let l be x(-2). Let v(y) = -y**3 + 10*y**2 - 10*y - 12. Let q be v(6). Is q greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8909 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((135\/(-6))\/9)\/(-1)*2. Suppose 650 = -0*r + 5*r. What is the remainder when r is divided by ((-30)\/m)\/((-4)\/22) + 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, -3011, -9292, -18095, -29426, -43291?\nAnswer: -59696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*i*r**2 + 4*d*i*r - 336*d*r**2 - 1950*d + i*r**2 - 3*i - 4*r**2 wrt r.\nAnswer: -2*d*i - 672*d + 2*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3 + 12*r - 4. Factor h(l).\nAnswer: -3*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + 6*-2*sqrt(2057) + -6*((sqrt(2057) - ((sqrt(2057) + sqrt(2057) + 1 - sqrt(2057)) + -1)) + sqrt(2057) - sqrt(2057)) + 0)**2.\nAnswer: -528*sqrt(17) + 296217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28731950 and 9750.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -78 and -75 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*v**4 + 31*v**2 + 23*v**2 - 37*v**2 wrt v.\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -21*k**3 + 18*k**2 - 126*k + 126. Calculate b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*r + r. Suppose 0*x = 4*x - r*t - 33, -3*x + 23 = -4*t. Suppose 31*d = 28*d + x. Solve -2*c - 2*b = 2 - 4, -d*c = -b - 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-12)\/8)\/((-9)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-6))\/(-5) - 0. Suppose 0 = -v + 5*h + 18, -v - 2*h - 41 = -4*v. Suppose -v + 3 = 2*o. What is the third smallest value in 3, w, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.7 (b) 0 (c) 144 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 12) to base 6.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-14)*193\/(5012982\/1092).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b = 149 + 125 + 337 - 151 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b818 (base 16) in base 6?\nAnswer: -1002104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i - 2*i + 4*i + (2*i + 3*i - 6*i)*(4 - 2 - 3) - 593*i - 571*i + 1055*i to x + d*i and give d.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 243*z**2 + 166*z - 367. Is j(-100) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -920.24 + 0.06.\nAnswer: -920.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3 + 133*c - 28*c + 99*c - 2 in the form w + d*c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2075, 4065, 6111, 8231, 10443?\nAnswer: 12765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3450*j**3 - 834*j**2 + 2?\nAnswer: 20700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 6 + 51 - 21 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = -2*h, 0*m - 5 = -m + 3*h. Let g(i) = -i**3 + 10*i**2 + 10*i + 6. Give g(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (91\/(-35))\/((-2)\/7) and -89\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162507, -324870, -487093, -649176, -811119?\nAnswer: -972922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 - 9*n + 8. Let k be p(4). Let g be (k\/30)\/((-6)\/(-171)). What is the highest common factor of 76 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 7)*6\/27. Suppose -3*w + 80 = -j, 3*w - 140 = -o*w - 5*j. Calculate the greatest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5717 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 15*l - 341. Let m be p(23). Let j be m\/(3 + -7) - 20. Put j, 3, -3, 4 in descending order.\nAnswer: 4, 3, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(325))**2 + -3 + sqrt(468) - ((sqrt(39)\/sqrt(3)*2 + sqrt(13))**2 - (sqrt(13) - sqrt(1300)*-2)).\nAnswer: 27*sqrt(13) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26764667 (base 8) in base 6?\nAnswer: 333035023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -5, 441, 5 in decreasing order.\nAnswer: 441, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*1 + sqrt(3520))\/(sqrt(80)*2).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(3 + sqrt(19)*-5 + sqrt(19) - (sqrt(19) - (-2 + sqrt(1900) + sqrt(19)))))**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3021 and 4560.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3 (b) 0.15 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 330, -2 in increasing order.\nAnswer: -5, -2, 2, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7905882?\nAnswer: 2, 3, 23, 59, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -426.\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-12))\/((-3)\/(-9)). Factor 0*t**2 + 3\/5*t**k + 4\/5*t + 0 - 7\/5*t**3.\nAnswer: t*(t - 2)*(t - 1)*(3*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 + 193. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23*w + 47. Calculate f(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 117*d - 485. Calculate s(-61).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x - 2. Give f(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from ltvvvllv.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207.04 - 195. Let r = w - 0.04. Is -2\/13 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(7))**2*-1*-6 + 5*(sqrt(5) - sqrt(180)).\nAnswer: -25*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9770421368 + -9770421270.00001237. Let a = 98 - q. What is a rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 25 - 36 - y - 12 - 54*y.\nAnswer: -55*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-11))\/((-52)\/572))\/(117\/(-12)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 13?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 4*v**2 - 7*v**2)*(17*v + 10*v + 6*v + (-1 - v + 1)*(-2 + 2 + 2) + 2*v + 0*v - 4*v).\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128724886361.000000246 + 128724886669. Let l = m + -308. What is l rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + -44. Suppose 3*z - 2*z - q = 0. Suppose -2*u = 6, -c + 45 = -5*u - z. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 19 = s - 0, s = -4*g - 61. Suppose -16*w + 12*w = 280. Let l = g - w. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, m: 7, v: 2, x: 2}. Give prob of sequence cvvm.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n - 882 = 2*l, -2*n + 878 = -3*l. What is the greatest common divisor of 267 and n?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.509705ml?\nAnswer: 0.000509705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 456399*a = 456411*a - 26, -i + 3*a = 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21543)\/(-1336))\/(-43))\/((-1)\/(-4)*-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -6*u**5 - 915*u**4 - 11850*u**3 - 30120*u**2 - 28320*u - 9141 = 0?\nAnswer: -277\/2, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 13) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-3 - 0 - -8)) + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/195 - (2328\/(-7760))\/(3*6\/(-8)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11547 is divided by 98?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -49*j + 4 + 35*j + 36*j. Let r be t(3). Let v = -38 + r. Calculate the highest common divisor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*j**2 + 105*j**2 + 90*j**2)*(1 + 2*j + j - 2).\nAnswer: 711*j**3 - 237*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5437561 + 1?\nAnswer: -5437560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.179 - 0.2226. Let b = -0.1436 - r. Is b < -5\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose 4*y - 8 = -7*g + 3*g, 4*y = 0. Let k be g + 2 + -1 + i. Solve l + k = -0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 44*y**3 + y**2\/2 - 3*y - 6. Let z be h(1). Calculate the highest common factor of z and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -877*b**2*y**2 + 2*b**2*y + b**2 + 3*b*y**2 - 381*y**2 - 6359620*y wrt y.\nAnswer: -1754*b**2 + 6*b - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3009, 12242, 27623, 49146, 76805?\n\"Answer: -x**3 + 3080*x**2 - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -1. Let t = 1 - 0.6. Put t, -2\/7, h in descending order.\nAnswer: t, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 bigger than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*a**4 + 0 + 15*a**5 + 69*a**4 - 100*a + 0 - 129*a**4 wrt a?\nAnswer: 300*a**3 + 216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 12*l**2 + 14*l + 10. Let x be n(-9). What is the common denominator of x\/30 + 3\/(-9) and -87\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 0)*(2*y**2 + 6*y**2 - 5*y**2) + (-2*y + y + 3*y)*(-y + 0*y - y) + 4*y - 4*y - 4*y**2 to the form h*y**2 + b*y + f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7191.676 micrometers?\nAnswer: 0.000007191676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.999817 + 58. What is s rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6964, -13931, -20898, -27865?\nAnswer: -34832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*y**3 - y**2 - 34*y**3 + 16*y**3 - 48*y wrt y.\nAnswer: -78*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - 4*t)*((-4 - 3*t + 4)*(2 + 3 - 4) + 0*t - 2*t + 3*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) 0.124 (c) 1\/4 (d) -7 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127596 a multiple of 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50757373 to the nearest integer?\nAnswer: 7124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32, -115, -340, -779, -1504?\n\"Answer: -12*g**3 + g**2 - 2*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 minus -0.0921?\nAnswer: 0.2621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4)\/3 - (-1 - 9) - 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 167*y - 1771. Let w be t(21). Is 1736 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 8*v**2 - 9*v - 3. Determine z(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*r + 15. Let z(f) = 4*f + 3. What is z(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -15) + -21 + 0 + 9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3104784 divided by 388098\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 11*a**2 - 23*a - 47. Let z be d(-9). What is the third biggest value in -4, z, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 9*h**2 + 11*h + 1. Suppose -10*v = 116 - 36. Let m = 0 + v. Calculate l(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 143*m. Let o(t) be the first derivative of 4*t**3\/3 + 218. Give l(o(g)).\nAnswer: -32*g**4 - 572*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -1175, -3961, -9379, -18305, -31615, -50185, -74891?\nAnswer: -106609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*s**2 - 7 - 10*s**2 - 13*s**2 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/180)\/(221\/48620)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-27) - 3947\/(-3). What is the greatest common divisor of 28 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 608 = 3*r + 12*r + 484 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.03\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 647284, 1294554, 1941826, 2589094, 3236352?\nAnswer: 3883594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29257d - 2?\nAnswer: 29257b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1\/5, 204, 2.3 in decreasing order.\nAnswer: 204, 2.3, -1\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 8*n**7\/63 + 2*n**6\/3 + 13*n**5\/15 - n**4 - 34*n**3\/9 - 4*n**2 - 3*n - 18. Solve v(m) = 0.\nAnswer: -2, -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8*(1 - -1). Which is greater: x or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 140 = 5*u, 3*u + 4*t - 86 = 6*t. Let i = -15 + 35. Calculate the highest common factor of i and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*v - 5*p, 2*p = -3*v - 5 + 19. Let b(x) = 22*x**3 - x**2 - x + 2. Does 43 divide b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34067 + -34067. Do a and -68\/273 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62614 + -4?\nAnswer: -62618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a hour in minutes?\nAnswer: 1095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 211824*q - 4024654. What is y(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**5*b)\/(b*b**(-3\/2)*b))**(-6\/11)*((b**1\/b)**(4\/33))**(-34) assuming b is positive.\nAnswer: b**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/2 + o**3\/3 + o**2\/2 - o - 1. Let u be x(1). List the prime factors of (u\/(-3) + -16)\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*z + 366, -2*j - 6 + 169 = 3*z. Suppose 0 = -5*p - 0*p - 3*b + 409, -p + 3*b + j = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89539 or -89544?\nAnswer: -89539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 20, -3*s - 15*s - 48 = -15*s - 3*n for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*o - 3611 + 15111 + 5662 + 6388 = 0 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 15570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/1134)\/(16\/(-72))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*c**2 - 1068*c**2 + 341*c**2 - 83*c - 82*c + 326*c + 362*c**2 - 161*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 536735942, 536735940, 536735938?\n\"Answer: -2*v + 536735944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42\/139 + 2731\/3058. Find the common denominator of u and 30\/3*(-38)\/(-72).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 50. Suppose 20*y - f*y = 39. What is the second derivative of -276*i**2 + y*i - 27*i + 298*i**2 wrt i?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18585470 at least as big as 18585470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.24207267 rounded to 1 dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 574 or 2876\/5?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/11 (b) 0.5 (c) 16.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + v**2 - 21 + 21 + (-5*v + 5*v + 2*v)*(3*v - v - v) as w*v**2 + p*v + c and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16095 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 185561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 18*c**2 - 47*c - 31. What is p(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, -1, 22585, 5.\nAnswer: -1, -2\/7, 2, 5, 22585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -356 - -499. What are the prime factors of g?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2 + 1 + 1). Suppose -5*x - 2*k + 22 = -33, r = -x - 5*k + 11. What is the remainder when x is divided by (-16)\/12*(-18)\/(-4)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55856 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 0 - (2 - 3)) + (-150 - -175) - 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q - 4*n, 2*q + n = -2*q + 9. Suppose -q = 4*r - 23. Suppose 195 = r*s - 0*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.687 and -482.\nAnswer: -331.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595 divided by -1853?\nAnswer: -1595\/1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 10. Let z be d(4). Suppose 0 = -z*h + 7 - 7. Suppose h = -4*v - 3*l + 637, -2*v + 305 = -0*l - 3*l. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-40)*12)\/((-3)\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -0*n. Let u = 1 - n. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51520 = -75*v + 153*v - 80*v. Is v a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 = -2*q - 4*n + 3746, -3*q - 2*n = -6966. Let b = q + -1649. Suppose -v = -0 - 3, -v + b = 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217151550 to the power of 1\/2, to the nearest integer?\nAnswer: 14736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -d + 127, -17 + 176 = d - 3*z. Is 70 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 + 10*t + 14. Suppose -5*f - 20 - 40 = 0. Let u be o(f). Suppose j - u = -11. What is the smallest common multiple of 15 and j?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4 + 1185*f**3 + 1350*f**2 - 37780*f - 71400 = 0.\nAnswer: -5, -2, 6, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -40 (b) 0.2 (c) -0.2 (d) 31 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(42\/20))\/((-48)\/72)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07098 and 0.2408.\nAnswer: -0.017091984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 332, -3, 0.\nAnswer: -5, -3, 0, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Which is the nearest to p? (a) -5 (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 762553927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 67*l - 1989\/2.\nAnswer: -(l - 117)*(l - 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 927714327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 23*z**4 + 77528 - 3*z**3 - 77528 + z in the form j + r*z + x*z**2 + p*z**4 + g*z**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 79*i**2 + 3*i + 8031*i**4 - 28 - 7*i - 8059*i**4 + 8*i**3 - 23*i**2 - 4*i**5 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*u + 96*u = 0. Solve u*k = 12*k + 60 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1497*o - 16461. What is n(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 3. Suppose 5*f = 7*j - 4*j + 31, -3*j + 9 = 3*f. Let w be m(f). Differentiate -4*i - 2*i + 2*i - w wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 13893?\nAnswer: 13897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - sqrt(132)*1)*-5 + -6*(1*sqrt(132) - sqrt(132)))\/((((sqrt(96) - -2*sqrt(96)) + sqrt(96))*3)\/sqrt(8)*5).\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-42))\/(9 + (-125)\/20 + -3)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -5*u**4\/24 - 2*u**2. Let z(p) = p**2. Determine z(c(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fufuhvhhufu. Give prob of sequence hvhf.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.5 and 34?\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2591.646 + 2596. What is q rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one twentieth of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603774731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzkastk. What is prob of sequence ktkz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 48*y - 113. Give l(-8).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*j - 6 = -2*j, j = 0. Suppose -q*u - 2 + 8 = 0. Find the first derivative of u - 3*v - v - 7 wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23959947 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 100, 19, -108, -275, -476, -705, -956?\n\"Answer: v**3 - 29*v**2 - v + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 66427960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -2 + (6 - 1). Let z = 6 - f. Let x(c) = 6*c**3 + 2*c**2 - z + 0*c**2 + 1. Determine x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101090482499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from hhaaavaccv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -26. Suppose -4*z - 94 + 1709 = 5*h, -5*h + 15 = p. Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1460015 and 8025?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 28. Let u be (651\/(-217))\/(1 + (-2)\/4). What is s(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 57535.32?\nAnswer: -172605.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.8917 and 0.26608861?\nAnswer: 0.62561139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g**2 - 139*g**2 + 70*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1153 or 880?\nAnswer: 880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 6*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 + -4 + -2 + 4. Solve -2*y + 4*s + f = 0, -y - 2*y = -s - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - u**2 + u - 1 - 1 - 2*u - 15*u**4 + 0*u**3 as d*u**3 + r + l*u**2 + p*u + b*u**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7802 and 564732?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(1*(-1)\/12). Sort -2, 5, y in ascending order.\nAnswer: -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let j be (-85)\/68*4\/(-3). What is the closest to 0 in j, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 216*i = 28*i - 16578331. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1126811 to the nearest one thousand.\nAnswer: 1127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 965244\/15 + (5 - 13) + 378\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447334 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81, -144, -207?\n\"Answer: -63*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06923 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4630 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-24) + -19 + 731\/68\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 - 2*w + w + 11*w + 2*w**3 - 4*w - 3*w. Let b(c) be the second derivative of -c**5\/20 + c**4\/12 - c**3\/6 + 6*c. Determine -3*b(k) - g(k).\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-86)\/(-8 + 195\/26) is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w + 12. Let k be -2 + (-7)\/(7\/w). Solve -2*p + 0*p - u + 11 = 0, -u = -3*p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 4*y**2 + 4*y**2 + y**2 + 4*y**2 - 2*y**2 + (0 + 1 + 1)*(4*y**2 - 4*y**2 + y**2).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-520)\/156*(4 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 5, t: 11}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3413*y - 452*y - 417602 = -408719 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7510 + 7527. Let l(d) = -d**3 + 18*d**2 - 16*d - 9. What is l(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49086 (base 11) to base 9\nAnswer: -116805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5 - 3. Let u be 0 - 28*k\/(-4). Let h = u - -24. What is the remainder when 27 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3*k - 4*k)*(1 + 7 - 1) + 1 - 1 - 3*k + 3*k - 2*k + k + (-2 + 4 + 0)*(2*k - 4*k + 3*k) - 2*k + 2*k + k - k + 6*k - 3*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -94.4969 and 4104819?\nAnswer: 4104913.4969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -46858\nAnswer: 1\/46858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -538*k**2 - 121. Let s(f) = 91*f. Give s(w(d)).\nAnswer: -48958*d**2 - 11011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*l + 276, 0 = 4*q + 3*l - 5*l - 264. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 32*a**2 + 675*a + 4126. Give b(-6).\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*z. Suppose -2*s = 0, 4*w + s + s - 328 = 0. Suppose w*o - 8 = 84*o. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23986?\nAnswer: 2, 67, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223.76482 rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1759*n + 1645*n + 374440 for n.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:07 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -3 - ((-38 - -52) + -7).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - 5*sqrt(360)*2)\/(sqrt(10) - (sqrt(110)\/sqrt(176) + sqrt(10))))\/((-4*(sqrt(84) - -1*sqrt(84)))\/(sqrt(7) - 1*sqrt(175))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d + 138. Let z(k) = -20*k + 415. What is -7*s(n) + 2*z(n)?\nAnswer: 2*n - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -1.07. Let f = k - 0.09. What is the nearest to f in -1, 2\/7, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.92 - 40.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5030507 plus -0.102?\nAnswer: -4.6050507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(2\/15)\/i)))\/(i\/((i\/i**(2\/5))\/i)))**(-8) assuming i is positive.\nAnswer: i**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7713 equal to -69413\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/8 + -3\/8. Let r = 1.4 - 1. Suppose -2 = -5*w - 4*v, -w - 2*w + 3 = 3*v. What is the third biggest value in r, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 26. Let w be r(-23). Suppose w*h - 35 = -5*x, -2*h + 3*x - 10 = -8. Solve -1 = -2*n - h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -92. Let u = i - 44. Suppose 2*f + 390 = u*f. Calculate the highest common divisor of f and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 9:33 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3407 - 0.3407. Let o = -1.8 + 2. Sort -3, p, o, 3.\nAnswer: -3, o, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570*j + 4368 = 752*j. Calculate the greatest common divisor of j and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-21) - 2 - 26\/(-91)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6.5. Let b = n - 0.4. Let c = 4.1 + -4. Is c less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b**3 - 1\/3*b**4 + 0*b**2 + 0*b + 1\/3*b**5 + 0 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 88 = 5*y, 3*y - 4*j = -6*j + 52. Suppose 0 = 4*l + 8, -l + 46 = 4*r - 4*l. What is the greatest common divisor of y and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 261 and 599.\nAnswer: 156339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 6 - (5 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -22 (b) 6.5 (c) 1 (d) -0.2 (e) 1\/5 (f) -2\/17 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in -1\/10, -3, -0.4, -11, -0.24?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -431.\nAnswer: -5\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -49*o - 304. Let j(c) = 12*c - 1. Let t(q) = 4*j(q) + v(q). Let l(b) = -2*b. What is t(l(n))?\nAnswer: 2*n - 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*h - 2*h. Which is the nearest to -0.1? (a) -2\/15 (b) h (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13923*j**5 + 678*j**4 - 179787225*j wrt j?\nAnswer: -278460*j**3 + 8136*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 474 = -2*f + 2*z, -777 = -5*f - z. Let x = 236 - f. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(2\/4). Which is smaller: -6\/59 or m?\nAnswer: -6\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 + 4 = 0. Suppose 2*u = w*p + 5, 3*p - 8*p - 2*u = 3. Let g be 0\/(-1)*p - -2. What is the second smallest value in g, 4, -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12217*g**2*i**4 - 803350*g**2*i**2 + 102*g*i**6 - 9*g*i**2 wrt i?\nAnswer: 293208*g**2*i + 12240*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 29. What is the greatest common divisor of 352 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {m: 1, u: 17}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/10 + -2 - 6\/15. Factor 0 - 3\/2*v**3 + v**2 - 1\/4*v**5 - 1\/4*v + v**x.\nAnswer: -v*(v - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -245 + 1475\/6. Let h(a) be the third derivative of 0 + 4*a**2 + 0*a**4 + 0*a - 1\/20*a**5 + u*a**3. Differentiate h(x) with respect to x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + 5*i)*((-3 + 4 - 2)*(-3 - 3 + 5) + 75 + 89 + 214).\nAnswer: 379*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s - 1\/10*s**4 + 5 - 4\/15*s**3 - 1\/5*s**2. Let z(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6120*v + 49024. Calculate q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 358\/495 - 32\/99. What is b in 0 - i*b**3 - 2\/5*b**4 + 0*b + 4\/5*b**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1166 + 1648. Suppose -486*h + 356 = -b*h. What are the prime factors of h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 387.2379 decades?\nAnswer: 46468.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 89*v - 81*v - 10*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.2 + -7. Let l = -74\/3 - -376\/15. Which is the nearest to 2\/7? (a) s (b) -1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 6*p = 0. Suppose p = -5*g + 13 + 7. Which is smaller: 1\/5 or g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 + 7*f + 2. Let m be y(5). Solve -m = k - 4*b, 3*k + k = -5*b + 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s - 286. Calculate z(24).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-203))\/(36\/((-96)\/(-8))*-1)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*l = -2*l + 6, 5*l = -n + 15. Let b(p) = -p - 12. What is b(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 370553332 times 0.3\nAnswer: 111165999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4249*y**2 - 4251*y**2 + 8522*y**2 + y**4 - 1 to a + d*y**3 + l*y + t*y**2 + c*y**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 4, s: 6}. Give prob of picking 1 k and 1 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -198*o - 41196. What is p(-208)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqbttbbbqtsbxrbbbss. Give prob of picking 1 t and 1 x.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(512)*4*-3*-1)**2.\nAnswer: -368640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*i - i = 24, 0 = -2*i. What is the least common multiple of 6 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -33796.506525.\nAnswer: -33800.506525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 64*x**2 + 996*x + 748. What is d(77)?\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4, 3*z = -4*t - 0*z + 157. Let o be (-1 - (-2)\/3)*-75. Let r = t - o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -11. Let q = a - 12. Solve -k = -3*k + q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:08 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/15 (b) 0.3 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 1267.457862584.\nAnswer: 1275.457862584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -353 + 64?\nAnswer: -2de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 819356?\nAnswer: 14748408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 - -51. Let s = 135 + k. Suppose 2*o - 174 = -s. What is the remainder when o is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 278\/(-1) + (-13 - -11). Let t = 2516\/9 + h. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h\/(h**12*h))\/h*h\/h**(-1\/19))\/(h**14\/(h*(h**(3\/7)\/h*h)\/h*h)))**40 assuming h is positive.\nAnswer: h**(-119800\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 0*m + m**2 + 47 - m - 11 - 19 - 10 to w*m + f*m**3 + x*m**2 + a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-16) - (-3)\/12. Suppose 0 = 3*f - p - 62. Suppose 4*h = h + f. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.28 - -0.22. What is the third biggest value in d, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -1102102?\nAnswer: -1110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 3)*3\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371554084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - 187\/(-4). Let y = 66 - q. Calculate the remainder when y is divided by 4\/10*-2*-15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 472 divided by -23230\nAnswer: -236\/11615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(-159))\/(2\/18) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtavavvvavvvtffvtc. What is prob of picking 1 c and 3 v?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3\/4)*a)\/a)\/(a\/((a*a**(-2)\/a)\/a*a)*a))\/(a**5*a*a\/(a**5*a)*a) assuming a is positive.\nAnswer: a**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 56, 84, 112, 140, 168?\n\"Answer: 28*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - k**2 - 43*k - 93. Calculate s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**4 - 2*o**4 - 4*o**4 + (21*o + 52*o - 112*o)*(-2*o**2 + o**2 - o**2)*(3 - 3 + o).\nAnswer: 79*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (1 - 2 - 2)*(2 - 1 + 0))*(3*q - 5*q + q)*(-2*q**2 + 2*q**2 - 2*q**2 + (-2 + 0 + 0 + q)*(25*q + 43 - 43)).\nAnswer: 23*q**3 - 50*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2139.268 to the nearest 10.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291968 - 291968.350098. Let z = -0.35 - j. What is z rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3\/8 + 2936931*p**2\/8 = 0.\nAnswer: -978977, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6838298425.\nAnswer: 5, 7, 101, 386891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t = -38*t - 25. Solve t*l + 7 - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29 - 2*o**3 + 29 + 2*o**2 wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*r*u - 3*b**2*r - 49*b**2*u**2 + 3*r*u**2 + u wrt u?\nAnswer: -98*b**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255988.1 rounded to the nearest one thousand?\nAnswer: -1256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.8 (c) 3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -94844\/1313 < -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.01014 times -0.3\nAnswer: -0.003042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, -6, -30, -72, -138, -234?\n\"Answer: -b**3 - 5*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 22*g - 20. Let m be c(-23). Let v = -4 - -7. Calculate the greatest common factor of v and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 569, 1133, 1677, 2189, 2657, 3069, 3413, 3677?\n\"Answer: -2*b**3 + 2*b**2 + 572*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106\/19 or -7?\nAnswer: -106\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/504576 and -13\/3066.\nAnswer: 3532032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -31001033 (base 4) to base 12\nAnswer: -26a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/31)\/(y\/(y\/(((y*y\/y**(-7))\/y)\/y))))\/((y**(-1)*y)\/(y**(2\/5)\/y)) assuming y is positive.\nAnswer: y**(-1188\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 682, 2713, 6100, 10843, 16942, 24397?\n\"Answer: 678*c**2 - 3*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114, -191, -268, -345, -422?\n\"Answer: -77*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - g + 2 + 0)*(4*g**3 - g**3 - 2*g**3).\nAnswer: -g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-6)\/(2 - -1). Suppose -m*i + 1 = -19. Suppose i*z - d = 34, 11 = z + z - 3*d. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**2\/2 - 11*p - 6. Let q be a(16). Solve 4 = t + t, -q = -v - 2*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(180) + sqrt(180)*2*-3))\/((-2*sqrt(36)*1)\/sqrt(4)))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, -5, -523?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1573 = 121*y + 20*g - 17*g, 0 = 5*y - 4*g + 65 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 - 363*s**2 - 30*s - 12961. Determine q(-73).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -27, 1, -40\/7, -5, -1\/2, 151?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + -0.26. Let k = -0.049916 + -0.950084. What is the fourth smallest value in -1\/2, k, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, -14, 0.15 in descending order.\nAnswer: 3, 0.15, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/(-15)*(-1)\/4*660\/(-1155)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7430?\nAnswer: 2, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -1 + -16 + 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11808*o**2 + 1288*o - 2 - 1288*o - 11755*o**2.\nAnswer: 53*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(539)*4*2)**2.\nAnswer: -336*sqrt(11) + 34505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = -20. Suppose 5*w + q - 6*q = 15, t*w + 3*q - 12 = 0. Solve -w = -3*j - y, -4*y = -y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 31. Suppose -n + o = -40. Let l = -20 - -27. Calculate the greatest common divisor of l and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03764701387 rounded to 4 decimal places?\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 792 - 1628. Let z(q) = -4280*q. Let c be z(-1). Let y = c - p. What is y rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -51?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*a + 2*s - s, s = -5. Suppose -4*g = -5*l + 8, -4*l + 0*g - g - 2 = 0. Suppose 5*f = 15, l = 3*k - k + f - a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 x when four letters picked without replacement from bbxbxbxbbjbjbbjbjb?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/11, 1.24, -0.4, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 8. Let d be 14 - v*(-3)\/(-2). Let y = 63 + d. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -3. Let q = -28 - -28. Let l = 3 + -3.1. What is the closest to l in 3, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**5\/5 + 6*s**3 - 2001*s + 1674. What is the derivative of u(i) wrt i?\nAnswer: 4*i**3 + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71603647.\nAnswer: 19, 101, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(35\/15 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*q - 12129 = 0, -14*q + 18*q + 16144 = 4*m. What are the prime factors of m?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 3\/1*(3 + 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153198\/341 or 450?\nAnswer: 153198\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*h - 953 - 263 = 214 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 2*o**4\/3 + o**3\/3 - 88*o**2. What is m(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**3 + 0*f**3 + 2*f**3)*(-2 - 1 + 1) + 3212248 - 3212248 - 3780*f**3 in the form v*f**3 + g*f**2 + i*f + c and give v.\nAnswer: -3778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*o = 20797 - 66022 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:08 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 25193391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, 1, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 2*v + 2. Let s be w(2). Let m be s\/9 + (733\/(-99) - -7). Let a be (-1)\/2 + (-2)\/(-4). Are m and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 2*n**2 + 5*n + 9. Suppose 43*w - 28*w + 45 = 0. Let o be v(w). Solve -17 = -o*b + 4*q + 11, -3*q = -4*b + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*(-92)\/(-2). Is 10 a factor of -6*1\/2 + y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -32.8, 0.4, 456, -4.\nAnswer: -32.8, -4, 0, 0.4, 6, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 13*k**2 + 8*k**2 - 10*k**2 + 125*k**3.\nAnswer: 125*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 6*s**2 - 2*s**2 + 11 in the form y + g*s**2 + o*s and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.001452 litres?\nAnswer: 8001.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:25 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 275911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 4, -4 in increasing order.\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 155 = -4*f, -5*a + 3*f + 115 = -f. What is the smallest common multiple of a and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012132 - -3132?\nAnswer: 1021330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -207 - 53. Solve -t = 2*f + t - 4, -r = -4*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 1 - 2) + (22 - 27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 17\/23, 1\/6, -5\/3, 2\/11, -0.06, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 8:42 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**8\/315 - j**7\/63 + j**6\/120 + 13*j**5\/360 + j**4\/36 - 4*j**3\/3 - 8. Let h(a) be the third derivative of g(a). Factor h(c).\nAnswer: (c - 2)*(c - 1)*(4*c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:38 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -17, -7 in ascending order.\nAnswer: -17, -7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -15 + 17 - -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 55*m - 52*m, g - 1970 = -2*m. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1 + (-108 + 145 + 86)*(-2 - 3 + 4))*(-c + 7*c - 2*c).\nAnswer: -496*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 4. Let p be r(3). Suppose 7*u - 3*u + 24 = 4*y, 0 = -3*y + u + 24. Let s = 11 - y. Sort s, p, 4 in increasing order.\nAnswer: s, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 14762440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2179, 6619, 14017, 24373?\nAnswer: 37687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(6\/(-4))\/(-3). Let p be (-4 - -1)\/(6\/(-36)). Let a be 66\/p + (-1)\/(-3). Sort -1, a, n in decreasing order.\nAnswer: a, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = -2*w, -5*w + 13 = -3*i - 13. Let x be 3\/(-6) - (-14)\/w. Find the third derivative of 0*a**2 - 2*a**3 + x*a**2 - a**2 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.231 - 15.111. Let t = y - -15. Are t and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in micrograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3291 by -78.\nAnswer: 1097\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - 34\/(-9). Let k(f) = f**3 + f**2 - 2*f. Let p be k(-2). Suppose 4*i + 16 = -p*i. Put d, -1, i in increasing order.\nAnswer: i, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*r + 48 = 0, 2*u = -4*r - 3 - 21. Put 17, u, 0, 7 in ascending order.\nAnswer: 0, u, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 = -62*o + 42*o. What is the remainder when o is divided by 48?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 30. Let h be (-234)\/(-81) - d*3. Let l be (1 - 0)\/(-2 + 1). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634320 (base 10) in base 5?\nAnswer: -130244240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 5446.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4115 by 5.\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-74745)\/1359 + (103 - 1)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153136594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041794967 to the power of 1\/3, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:37 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3150175 by -450025.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 350*q + 2466. Let w be o(-7). Solve 25*d = -w - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 814 by -2.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376471 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.68 + -2.14. Let q = 1.54 - m. Which is the nearest to -0.4? (a) 1 (b) q (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(sqrt(152) + (sqrt(152) - sqrt(152)*-2*4) + sqrt(152) + sqrt(152))*4)\/(6*sqrt(72)\/(sqrt(9) + sqrt(90)\/sqrt(40))).\nAnswer: 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2216 - 2048 = -14*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 4. Let t be n(-6). Let m = 1 - t. What is the units digit of (2\/4)\/(m\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.8 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6608748049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18 - (-115)\/(-966)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, 3, -12 in increasing order.\nAnswer: -199, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d + 75. Let x be (-1)\/((-15 + -4)\/133). Calculate f(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a72478 (base 11) in base 2?\nAnswer: -1101010011100000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*(r**(-9)*r)\/r*r)\/r)**(2\/31) assuming r is positive.\nAnswer: r**(-12\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-15)\/22)*-147*(-189)\/6174\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**(-5))\/u)\/u)\/(u\/((u\/(((u\/(u**0*u)*u)\/u)\/u*u))\/u)*u)*u**(1\/2)\/(u*u**(4\/3)))\/((u**0\/u)**24)**(1\/27) assuming u is positive.\nAnswer: u**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -83.9 and 0.569?\nAnswer: 84.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 90 = -3*v - 3*c, -c + 127 = 4*v. Let r = v - 29. Suppose t - m - 59 = r*m, -3*t - 2*m + 166 = 0. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 5*a - 5*x + 167, 0 = 5*a - 2*x - 364. Suppose -c = a + 11. Let q = -44 - c. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 1, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 4*p**2 + p**2 - 4*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:01 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/12 - 18*r**2. Let p(n) = -n. What is i(p(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1608084 + 9*x**3 + 804346 + 803738.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.3493ng in kilograms?\nAnswer: 0.0000000000233493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211236 + 50955 = 97*k. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2566 and 28?\nAnswer: 35924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022763174 to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 3*r**3 + 3*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 10114*u + 10112 = 0. Calculate u.\nAnswer: 1, 5056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 17 = -3*g, -10 = 2*g + 2*g + 5*t. Let p be ((-20)\/(-50))\/((-1)\/g). Suppose h - u + 0*u = 7, -5*u = -p*h + 14. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 10) to base 12\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*s = v - 208*s - 10, -v - 17 = -5*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/30 + (-976)\/(-915).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7249 - 426?\nAnswer: 6a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 + 27*k + 135. Let a be i(-5). Let q be ((-12)\/a)\/((-230)\/(-575)). Factor 0*z**2 - q*z**4 + 0 + 0*z + 2\/5*z**3.\nAnswer: -z**3*(3*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/51)\/((-44)\/(-4092))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 2*l**2\/3 - 338*l\/9 - 338\/3.\nAnswer: 2*(l - 13)*(l + 3)*(l + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -2. Let f be (-22)\/(1 - n - 6). Suppose 13 - 46 = -g. Calculate the highest common divisor of f and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 divided by -74.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41172 and 6204?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**(2\/113)\/(((q*q**(-1\/8)*q)\/q)\/q**(-1\/10))*((q\/q**3)\/q**(-4))**35 assuming q is positive.\nAnswer: q**(311833\/4520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.2 - 3.2. Put 25, i, 2\/11 in decreasing order.\nAnswer: 25, i, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -16.295826?\nAnswer: -12.295826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2\/7 - 11943*l - 16161984\/7 = 0. Calculate l.\nAnswer: -192, 28059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 + 3*x**2 - 10*x + 15. Let k(u) = -u**3 + u**2. Let f(t) = 6*k(t) - w(t). Let l be f(6). Let n = 200 - l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -20*n**3 + n**2 - 9*n - 3. Let c(d) = -53*d**3 + 2*d**2 - 25*d - 8. Let j(k) = -3*c(k) + 8*l(k). Determine j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39918?\nAnswer: 2, 3, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:22 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2776 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9934 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -124?\nAnswer: -45\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42819997 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 9*n**2 - 4*n + 17. Let h be l(-7). Suppose 12*b = h - 73. Calculate the remainder when b is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 + 8)) + -1 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -3\/46, -0.67, 4?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 8*h - 24. Let c(y) = 25*y**3 + 68*y**2 - 60*y + 22. Let m(z) = 9*z**3 + 23*z**2 - 20*z + 8. Let g(x) = h*c(x) - 11*m(x). Determine g(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*u = u + 8, 5*j - 104 = -4*u. Let x be (0 - 3)*16\/j. Let y = x - -6. Put y, 3, 0 in ascending order.\nAnswer: 0, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -61. What is the closest to 0 in -3, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 2604*j - 370080.\nAnswer: 4*(j - 120)*(j + 771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 256 + 1201 = 0. Suppose -70*q + 56 = -h*q. Calculate the least common multiple of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 12*f**2 - 5*f**2 - 52*f**2 - 80*f**2.\nAnswer: -117*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.9 - 1229.9178022?\nAnswer: -1021.0178022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z - 12*z + 22 + 9 - 10*z.\nAnswer: -7*z + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (19 + 14) - 12.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = -2 - 3. Solve 2*q - 46*v + 43*v - u = 0, 5*v = 2*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -310, -304, -276, -220?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1 = 3*d - 7, b = -5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*t - 1, -5*t = 6*n - 8*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-28)\/(-28) - 0\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*h**2*u**3 - 6281974*h**2*u - 141229*u**3 - u**2 wrt u?\nAnswer: 276*h**2 - 847374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -14265 (c) -1\/7 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 9. Let f be w(-6). Let v = -155406 - -155406. Solve -2*y + f - 11 = v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -103130022000?\nAnswer: -103130022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/(-15)*(-140)\/(-2695)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.004?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -197*a**2 + 40 - 5*a + 93*a**2 + 103*a**2 - 16.\nAnswer: -(a - 3)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68652 is divided by 111?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.1, 3097638, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001464628187 rounded to 7 decimal places?\nAnswer: 0.0001465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1722\nAnswer: 172.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u + 4. Let z be r(6). Let f = 9 - 6. Let l = -496\/135 - -442\/135. What is the nearest to l in 0.1, z, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/16 + 80104\/(-3968)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2583 and 5691?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269549, 269557, 269569, 269585, 269605, 269629, 269657?\nAnswer: 269689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/16)*(l**34\/l)\/l assuming l is positive.\nAnswer: l**(509\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325170498 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/60 - j**4\/24 + j**3\/6 - 35*j**2. Let w be 0\/(4 + -2) + -5. Let l(t) = 7*t**2 - 6*t + 6. Determine w*l(a) + 30*n(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*j**3 - 6*j**3 + 4*j**3 - j**3 + 3*j**3 - 3*j**3 + (j**3 - 1 + 1)*(-2 + 2 + 1) - j + j + 2*j**3 + 0*j**3 - j**3 + 2*j**3.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*-220*(-1)\/100.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5*u = -45, 2*b + 3*u + 4 = 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (-4 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166535979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 202*u**2 + 9238*u + 140. Let g be s(70). Factor g - 4\/7*t**3 + 16\/7*t**2 - 12\/7*t.\nAnswer: -4*t*(t - 3)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 17. Sort -11, c, 5 in decreasing order.\nAnswer: 5, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3, 3*t - y - y - 15 = 0. Solve -1 = -l + 3*s, 0 = -5*l - 2*s - t + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 350 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x**2 - 2*x. Calculate h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2\/((t\/t**(9\/4))\/t) assuming t is positive.\nAnswer: t**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*k + 2104 = 242*k - 536 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-3 - (2 + -3)). Suppose 0*t + t + n = -5*q, -t = -q + 3. Let d = q + 0. Put d, -2, -3 in descending order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135397486 divided by 2\nAnswer: -67698743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244172*p - 248343*p - 342022 = 0 for p.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 5 - 5)*(-549 + 549 + 26*v**2) - 22*v**3 + 19*v**3 - 24*v**3.\nAnswer: -131*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110224*o**3 + 38455560*o**2 - 4402623*o + 125989.\nAnswer: (o + 349)*(332*o - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22315057 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 65*j + 3766. Let o(t) = 6*t**2 - 52*t + 3764. What is -4*n(d) + 5*o(d)?\nAnswer: 2*d**2 + 3756","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -69*k + 418. Let w be u(6). Let l be (-50)\/(-18) + (-2)\/(-9). Solve -w*g - 35 = -5*d, 2*g = -d - l*d + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t - 3*v, -3*v + 5*v + 11 = 3*t. Suppose -2*z = t*z. Suppose z = 3*n - i - 198 + 34, 4*n - 3*i = 227. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 1 + (14 - 8) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 8*b + 3*j + 75197, -3*b + 5*j = 56405. Round b to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8)*7\/((-70)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1671.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -718, -1070, -1424, -1780?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w = 68*w - 10*w - 1344 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 147*f + 11*f**2 + 155*f + 2*f**3 + 14*f**2 - 8. Let d(b) = b**3 - b**2 + b + 2. Let a(s) = -5*d(s) - r(s). Factor a(v).\nAnswer: -(v + 1)**2*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66317 (base 16) to base 14.\nAnswer: -ac78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 14 + (17 - 24)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 1. Let l = -30 - -31. Let k(m) = -91*m - 18. Let a(b) = l*k(b) - 5*t(b). Is a(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, t: 2, i: 2, m: 5, w: 2}. Give prob of picking 2 t and 1 m.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 830.\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.26 - -17. Let r = z + 0.26. Put 2, -0.4, r in decreasing order.\nAnswer: 2, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 5*s**2 - 3*s**2)*(-10 + 116*s - 266*s + 129*s).\nAnswer: -42*s**3 - 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70454179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 9312?\nAnswer: 46560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + 1 + sqrt(3) + -1 + 4.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -1\/2*x**2 - 1\/20*x**6 + 3\/4*x**3 - x + 0 - 5\/8*x**4 + 11\/40*x**5. Solve n(z) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-4 + 3 + 7)) + -6\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/1*(-14)\/14. Suppose 10*l = p*l. Solve o + 2*o - 12 = l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -49699*i - 695674. Determine s(-14).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272*m**2*o**3 + 8*m**2 - 2*m*o**5 - 6*m*o wrt o.\nAnswer: -1632*m**2*o - 40*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4722.\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1980, -2029, -2128, -2277, -2476?\nAnswer: -2725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 17 = 4*q + 4, -4*s = 4. Solve 2*g - 2*k = -q*g + 16, 4*g - 5*k - 28 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4 - 3*l**2 - 4*l**2 + 4*l**4 - 4*l**3 + l**2 - 661*l**5 + 5*l + 660*l**5 = 0?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/5 - 103*u**3 - 26786*u**2\/5 + 209388*u\/5 - 182088\/5 = 0?\nAnswer: -54, 1, 6, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1))**(-1\/20)\/((i*i**(-5))\/(i*i\/(i\/(i**(2\/23)\/i)))))**(-3\/4))**(6\/37) assuming i is positive.\nAnswer: i**(-17127\/34040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 16*n - 5 + 15 + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1262583 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 6:19 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 258 + -254. Do p and 96 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -7) - (-4 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 170 = -3*t, 110*t = v + 115*t - 18 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 182847733 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 11*n + 3*n + (-1 + 2 - 36)*((-4*n + 4*n - n)*(0 + 1 - 2) + 2*n - 4*n + 3*n) in the form d + m*n and give m.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -18. Suppose l*p = 4*s + 76 - 16, -2*p = -5*s - 40. What is the highest common divisor of p and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560 and 59776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i + 2. Let u be m(-2). What is the units digit of u + 30 + (3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94000579 divided by -2.\nAnswer: -94000579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199155?\nAnswer: 3, 5, 11, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 + -13000213?\nAnswer: -13000324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**4*p**2 + 1357564*l**4 - 288*l*p**2 - 6419*l - 5 wrt l?\nAnswer: 60*l**2*p**2 + 16290768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 20 - 22 = 0. Which is smaller: 18 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 5)\/(-2) - -2. Calculate the common denominator of -23*(-1)\/6 - 2 and 1 - (f\/9 + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = -6*w. Let v be (-12)\/(2 - w - 1). Suppose -12 = -4*o + v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 127092750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20799 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 3\/4*y**4 - 3 - y + 0*y**3 + 0*y**2. What is the first derivative of z(k) wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -626803? (a) 2\/7 (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 75\/12 - (-2)\/(-8). Let u = 8 - y. Solve u*g + 2*g = 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3439*t + 3414*t + 192325. What are the prime factors of t?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15776681\/18678 - -2534\/3. Let z = -76266\/15565 - j. What is the common denominator of 38\/(-9) - (-1 - -1) and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/31)*y)\/(y*y\/(y**(-27)*y*y))*y*y**(-20)*y*y**20 assuming y is positive.\nAnswer: y**(-742\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/a**(2\/11))*a**(1\/11)*(((a**(-6\/5)\/a)\/a)\/a)\/(a**(-8\/5)*a) assuming a is positive.\nAnswer: a**(-183\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 3)*(1 - 1 + 2) - 775 + 1131 - 888 + 1 - 3 - 1 + (0 + 1 + 0)*(2 + 1 - 1))*(-4*s - 2*s + 5*s) to p + n*s and give n.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 99. What is the fourth smallest value in 2\/3, q, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 186390 - 186390. Let l(g) = -104*g**2 - 1. Determine l(a(v)).\nAnswer: -416*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/46 + 39\/230. Sort -9\/5, v, 0.4, -4\/7, -1 in descending order.\nAnswer: 0.4, v, -4\/7, -1, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.78524444 to three decimal places.\nAnswer: 12.785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*u = -321, -2*m - 2*u = u + 214. Let n = -7 - m. Round n to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 < 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:09 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*(-62)\/2821 + 24\/(-21).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/15)\/((-4)\/10). Suppose -10 = 3*w - n*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + (5 - (-6 + 14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**3 - 5*l + 10*l**3 + 5*l + 5*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138.2 + -138.198999. Round y to 5 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 81*p**2 - 1066 + 51*p + 5*p - 79*p**2 = 0.\nAnswer: -41, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 18 = -3*z, 1 = -z. Is c at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1072 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -251.4204 * -0.09\nAnswer: 22.627836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -5, -28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 - 2*a - 35. Let h be j(9). Let p = 277 - h. Calculate the remainder when 197 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*t + 15. Is -416*(2 - (-1 - t)) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 3084\/35?\nAnswer: 3084\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*r + 9 = 0, 0*r - 5*r = -2*x - 14. Let y = -3 - -9. Suppose x*n - n = y. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 7*x**3\/3 + 102. Let k(q) = -2*q**2. Give n(k(s)).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 10. Let x be l(-7). Let p = 2 - x. Solve -j = -p*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3029777596 + -0.05.\nAnswer: -3029777596.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**3 - 3*c**2 - c - 5. List the prime factors of h(-3).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*a**2*b**3*h**3 + 2*a**2*b*h**3 - a*b**3*h**2 - 2*a*b**2*h - 4*b**3*h**3 - 2*h**3 wrt a?\nAnswer: -86*b**3*h**3 + 4*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 20. Suppose 16 = 5*m + j*z, z - 1 - 11 = -5*m. Calculate the greatest common divisor of 14 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g**3*n + 5*g**3*y**3 - 26*g**2*y**3 + 2*n*y**3 wrt n?\nAnswer: -5*g**3 + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 547ba (base 12) to base 7\nAnswer: 643531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7582.242 millilitres?\nAnswer: 7.582242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, g: 2, f: 2, w: 1, s: 3}. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 11:26 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.104 + 2162.\nAnswer: 2161.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Let f be (-4)\/(3 + q + -2). Is 4 + 0\/f + 331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 + k**2 + (5 - 3 - 3)*(3*k**2 + k**2 - 6*k**2) + 0 + 0 + 5*k**2)*(4*k**2 - 2*k**2 - 4*k**2).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-86*m**2 + 95*m**2 + 94*m**2)*(0 - 2 + 3 + (2 + 3 - 3)*(0 + 0 + 1)) - m**2 - m**2 + m**2)*(-1 - 3 + 2) to c*m**2 + h*m + s and give c.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*f - 723, 7*f - 1819 = 2*f - 4*r. Let b = 213 - f. What is the units digit of b\/(-9) - 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**4 + k**3 + 5*k**2 + 3390*k + 4295135.\nAnswer: -8*k**3 + 3*k**2 + 10*k + 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 85. Let b(j) = j**2 + 2*j. Let z be b(i). Solve -z*m = -8*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {b: 4, l: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 96\/(-108) + 4\/6. Which is the second biggest value? (a) -1 (b) 2 (c) y (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*i - 44, 4*i + 0*i - 44 = -x. Let v(z) = 2*z + 22. Let q be v(-9). Calculate the highest common divisor of i and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9936 + 18696 = -21617*z + 21620*z. Is z a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33488167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24053 + 24184.615. Let z = -132 + i. Let v = 0.015 - z. What is the closest to 1\/3 in -0.2, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 - 8 - (-43 + 38))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 1. Let f(n) = 4*n**2 - n + 12. Let h(k) = f(k) + 5*j(k). Give h(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 4*x + 74. Let d be i(6). Suppose 55*l - 30340 = d*l. What are the prime factors of l?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdbmdmdbbb. Give prob of sequence bd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 166138\nAnswer: -3\/166138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10027*q**3*x*y**2 - 2*q**3*x*y + 564*q**3*x + 2*q**2*x*y**2 + 8*q**2*x + q*y**2 wrt y.\nAnswer: 20054*q**3*x + 4*q**2*x + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from qqqiiiqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/4? (a) -1139 (b) -1\/6 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/38 and -29\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -746 - -2037. List the prime factors of i.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7444 - -11?\nAnswer: -7433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2111220111 (base 3) to base 5\nAnswer: 3041004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 317\/6 - 53. Let s = 0.029 - -1.971. Suppose 0*n + 3*n = 12. What is the nearest to -2 in x, n, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 498 (b) -0.63 (c) 4\/17 (d) -1\/4 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 37*x - 9. Let l be a(12). Suppose -4*v - 3*o + l = 0, -4*v = -5*o - 184 - 275. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198d474 (base 15) to base 2\nAnswer: -1000111001111010011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + (999 - 959) + (6 - 0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 7*q - 2*q + 5*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -189.76.\nAnswer: -2466.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 550 = 4*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 53812021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8407327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/6 - 40*x**4\/3 - 339*x**3 - 2766*x**2 - 6831*x\/2 + 6534 = 0?\nAnswer: -33, -12, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 3 (c) 191 (d) -3 (e) 11 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 1909\nAnswer: 50\/1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from {s: 4, q: 1, c: 1, e: 1, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.083 - -3.583. Let h = m + -3.5. Let g = -12 + 8. Which is the third biggest value? (a) 1\/8 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24244 - -10?\nAnswer: -24234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 3\/203671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((32*h - 134*h - 10*h)*(19*h - 4*h - 9*h) + (-2*h - 2*h + 5*h)*(-4*h - 2*h + 4*h))*(-1 + 1 + 2*h) to d*h**3 + m + i*h + p*h**2 and give d.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3, y: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11548.1817017863 take away -0.2?\nAnswer: 11548.3817017863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863*w = -870*w + 21. Solve -2*h = h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 at most as big as 0.0938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*k, -b - 2*b = -k - 12. Let c(q) be the first derivative of q**2\/2 - 1. Let s(f) = -f - 2. Calculate k*c(p) - s(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0*c**7 - 37 - 3*c + 0*c**3 + 0*c**6 + 0*c**5 - 17\/6*c**4 + 0*c**2 - 59\/28*c**8. What is the third derivative of d(v) wrt v?\nAnswer: -14160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*f - 5*y + 48, -2 = y. Let d be (0 - -1) + f\/15. Let p = 1958 - 1957.9. Which is the closest to p? (a) d (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 21*y - 24*y - 2 = 0, -r = -5*y + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011011010011 + 101?\nAnswer: 1110011011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12857*z**2 + 12859*z**2 - z + 27*z**3 + 21*z**3)*(-3 + 3 + 2).\nAnswer: 96*z**3 + 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 22003112?\nAnswer: 22003122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssyyssytysysy. Give prob of picking 2 s, 1 t, and 1 y.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 76 = -25*i. Suppose 4*g + 31 = -49. Let q be (64\/g)\/i*5. Solve -8 = -q*s + 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1837 + 1994. What is the remainder when q is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-4 - (6 + -5)) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 70 = -70. Suppose -12*h + g = -8*h. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/11 (b) 0.4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.68 * 0.159.\nAnswer: -1.85712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-451095)\/(-825))\/(-61) - (1 - (-60)\/(-44))?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.42 - 0.02. Let p = -0.01 + 0.05. Let v = p + 0.46. Sort 0.3, a, v in descending order.\nAnswer: v, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15)*d\/(d\/((d\/(d*d**(-33)*d))\/d)))\/(d*d*d**16*d)**(-7\/5) assuming d is positive.\nAnswer: d**(213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 82. Let a be (-17 + i)\/4*-1. Let f(x) = x**2 - 3*x + 4. Determine f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23533343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36 + 207.64. Let w = i - 208.000062. What is w rounded to 6 decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142688962 to the power of 1\/2, to the nearest integer?\nAnswer: 11945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0482 - -0.064?\nAnswer: 0.1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5)\/10*4 - -893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804256?\nAnswer: 2, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/12)\/((-20)\/6). Let f be 3 - (30 + -30 - (-2 + -1)). Solve 0 + f*d**2 - 9\/8*d + q*d**3 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -7\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631474.\nAnswer: 2, 71, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-36)*-608*(-18)\/(-8). Suppose -o = 444*g - 448*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7066.78 + 7162. Let v = 93 - q. Let h = v - 2.41. What is h rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -102*y + 83*y + 18*y + 1 + 0. Let n(f) = -13*f - 4. Determine -n(d) - 5*x(d).\nAnswer: 18*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/6)\/(11251\/16878 - (-32)\/(-48))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -0.4, 0 in decreasing order.\nAnswer: 38, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b**3 - 3*b**3 + 7*b**3)*(-2*b + 5 - 5) + 4*b**4 - 1 - b**2 - b**4 - 5*b**4 - 5*b**4 - 2*b**4 + 2*b**4.\nAnswer: 9*b**4 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1666?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 1\/6*p**3 + 15*p**2 + 0 + 1\/24*p**4 + 0*p. Determine l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1) + (9 - 8). Suppose 4*t + 5*l + 8 = 0, 0 = 2*t - 6*t + m*l - 40. Let h(f) = 4*f + 6. Give h(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 + 4*f + 8. Let q(x) = x**3 + 4*x + 7. Let n(l) = -5*q(l) + 4*v(l). Let s be n(-2). What is the units digit of 12\/8*(-2)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let b(r) be the first derivative of -11*r**4\/24 - 5*r**2 + 5. Let a(q) be the second derivative of b(q). Give h(a(y)).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12764 and 98921.\nAnswer: 395684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let z = 55 - 55.2. Let g = 5.3 + -0.3. Which is the third smallest value? (a) o (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 18 = 4*r - n, 0 = -4*r + n + 10. Suppose r*d - 2*d + 8 = 0. Is (-3)\/(-24) - 2007\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4035)\/269)\/(6\/5))\/(((-75)\/72)\/5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 + 268 = -11*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51390*z**4 + 2*z**2 - 3215*z - 1 wrt z?\nAnswer: -1233360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 27322?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 2*c + 1. Let o be ((-12)\/6)\/((-4)\/6). Let x be m(o). What is the remainder when ((-1)\/x)\/(2\/164) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17674607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2*q + 3. Let l be y(-2). Let x = l - 5. Let g be (-3 - -1)\/1 - x. Solve 4*h + 0*h = r + 17, -r + 5*h - 20 = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-40)\/8) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + f = 37, 3*f - 6 = 5*f. Let d be 4\/6 - (-464)\/24. Let z = d - b. Solve -q + z = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1 (c) 0.219 (d) -0.2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + 0 - -5) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**6\/360 + m**5\/24 - m**4\/12 - m**3\/3 - 1. Let v(j) be the third derivative of r(j). Let n be 25\/15 - 60\/9. Calculate v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + -125. Let i = q - -1501\/7. Let b = -1 + 3. Put b, i, 3\/5 in decreasing order.\nAnswer: b, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-150)\/20)\/(-5))\/(30\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3975 and 1019505?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 11.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/73932 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 19*i = 15*i + 22*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270 - -270.5. Let g = -1 + 0.5. What is the nearest to -0.1 in -5, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25652406*i**2 - 84583173 with respect to i.\nAnswer: -51304812*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24084274 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 15*p + 8. Which is the nearest to 2\/3? (a) p (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203865504 divided by 25483188\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/6 - 32*z**3\/3 + 31*z**2 + 418*z. Solve h(r) = 0.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81.4 from 0.05.\nAnswer: -81.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84253.1 kilometers to micrometers.\nAnswer: 84253100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 14*u**3 - 3*u**3 - 11*u**3 + 0*u**3 - 453*u + 3*u**2 to o*u**2 + i*u**3 + a + s*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1903.\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 5*t**2 - 3 - 4*t**2 - 2*t - t**2. Let w = 81 - 67. Suppose 3*g + 4*b = 4*g - w, -14 = g + 3*b. What is s(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000203732 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose 5 = 2*q + 3, 3*q = 5*w - 7. Suppose 0 = o - 0*o + j - 3, 0 = -5*o + j + 3. Solve n = w*x - o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 14*t + 1249. Give j(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2786\/5 (b) -4 (c) 4 (d) 2 (e) 1 (f) 0.1 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:21 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 38688*p + 124730112 = 0.\nAnswer: -6448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -86. Let c = h + 30. Solve 0 = -i + c*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 31028*s**2 - 155090*s.\nAnswer: -2*s*(s - 15509)*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 11*z + 66. Let s be d(-9). Factor -2\/5*g**s - 2*g**2 - 8\/5 - 16\/5*g.\nAnswer: -2*(g + 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vfvfvv?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/81 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + h - 6*h + 15 = 0, 5*g - 12 = -4*h. Suppose g = f - 1306 + 419. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(972) + sqrt(972)*-2)\/(sqrt(4) - sqrt(256)*1 - sqrt(4)).\nAnswer: -3 + 9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11098 times 249\nAnswer: -2763402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935 is divided by 860.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -894, -3319, -7288, -12801, -19858, -28459, -38604?\n\"Answer: -772*d**2 - 109*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4646 times -0.8?\nAnswer: -3716.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1971*b + 51. Let l(c) = 1. Let h(k) = -197*k + 10. Let m(x) = h(x) - 5*l(x). Let i(r) = 21*m(r) - 2*o(r). What is the hundreds digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 41 + 3 - 4 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -753\/5 - -150. Suppose 5*p = -0 + 25. Let u = p - 5. What is the third biggest value in 3\/5, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (128 - 120 - (4 + 0)) - -35.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17 + 190*j - 51 - 181*j + 2*j**3 wrt j?\nAnswer: 6*j**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6237)\/44)\/(-7)*(16 - (-572)\/(-33))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**6\/480 - n**5\/240 + n**4\/48 + 202*n**2. Factor t(p).\nAnswer: -p*(p - 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.227 rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*k - 182*k + 124*k - 330*k as y*k + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.82 + 0.82. Let w = m - -45. Let n = 0.01 - -0.09. What is the closest to n in -4, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/12)\/((-24)\/240)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 6696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (12 - (-8 + 24))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68959214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573828872?\nAnswer: 2, 71728609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 284*c - 9146. What is the least common multiple of f(43) and 8?\nAnswer: 12264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:02 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2 - 5 + 7 + 1. Let r(u) = 5*u - 11. Let y(v) = 4*h(v) + r(v). What is the derivative of y(t) wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-3)\/(-2) + -2). Let q = -5 + k. Suppose 2*d + x - 17 = -2*d, -4*d + x + 15 = 0. Solve -d = -f - q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b + 4*b + 0*b)*(-5311 - 448 + 494).\nAnswer: -52650*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-6) - 2)*-3*-1117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 - -183. Let l be (-3)\/((-6)\/(-2)) - -13. Solve 3 = -t - w + q*w, w = 4*t + l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*q**2 - 36*q**4 + 37*q**2 + 1 + 30*q**4 - 6*q**3 + q as h + b*q**3 + k*q + y*q**2 + g*q**4 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -q - 5*z, -q + 23 = -0*q - 5*z. Solve 3*a + q = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, -1\/7, 1.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.807485 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*u - 6*u = 19, -3*u - 13 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beetbbbt. Give prob of picking 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 6. Let p(o) = -8*o + 12. Let s(w) = -3*p(w) - 7*q(w). Let b be s(5). Let y(v) = -v**2 - 17*v + 7. Is y(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 13 + 3 + 8*l**2 - 29 - 52.\nAnswer: 4*l**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5502*d**6 + 993*d**5 - 401120*d**2 + d + 9.\nAnswer: -660240*d**3 + 59580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136597 is divided by 136143?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r. Let a(q) = 7*q. Let i be (-16)\/10 - 8\/20. Let b = i + -6. Let l(h) = 11*h. Let d(f) = b*a(f) + 5*l(f). Calculate o(d(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 28 + 33 - 38)*(-3*n + 3*n - 4*n).\nAnswer: 268*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**42\/(x\/(x*x*x**(3\/4)*x*x)*(((x\/(x\/(x*x**(1\/2)*x)*x*x))\/x*x)\/x)\/x)*((x*x**(3\/7))\/x**(-3))**(-48) assuming x is positive.\nAnswer: x**(-5805\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3076 (base 12) to base 3\nAnswer: -21020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - -11300333?\nAnswer: 11300201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1467*q + 1468*q - 2936*q - 189.\nAnswer: -q - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-288)\/(-18))\/64*6*(-24)\/(-918))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3 + 10570*l**2 + 148873*l wrt l?\nAnswer: -24*l + 21140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 5*t**3\/6 - 13*t**2 + 18*t. Differentiate a(i) with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 4*w + 2. Let f = 3 + -7. Let r be c(f). Suppose r - 6 = 3*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373524 divided by -5493\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111198360 and 81464?\nAnswer: 111198360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 838377 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557 + 4*p - 557.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45583 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118 - 2477?\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.07463 days to microseconds.\nAnswer: 6448032000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 13. Give n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.634256 rounded to three decimal places?\nAnswer: 0.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 - 478*u**2\/11 + 2812*u\/11 - 3728\/11.\nAnswer: 2*(u - 233)*(u - 4)*(u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 2*m**3 - 30*m**2 - 3*m**3 - m**3.\nAnswer: -2*m**3 - 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8) + (2\/(-11 - 1))\/((-4638)\/(-674829)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3173*d**3 + 3200*d**3 - 6372*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9 + 4*b**3 + 8 - 2*b**2 in the form r*b + l*b**3 + n*b**2 + o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 31, -2, 0.3, 14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 165\/22*(-108)\/10. Suppose 3*q = -2*m - 0*m - 256, -q - 82 = 4*m. Let c = l - q. Solve -13*v + c = -8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i**2 - 54*i**2 - 39*i**2.\nAnswer: -141*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/v*v*v**(-1)*(v**0)**14 assuming v is positive.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115.05 - 58326863348.\nAnswer: -58326863232.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 - -158. Is (2 + (-263860)\/(-15))\/(p\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125510 (base 6) to base 10\nAnswer: 11634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-66))\/(((-28)\/((-168)\/(-2)))\/((-9)\/(-9))).\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/(4\/42). Suppose -x = -0*r + r + b, -4*r + b = 31. Calculate the common denominator of 1 - r\/48*46 and 37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*t + 1090 + 5551 = 53 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/4 - 533*l**3\/4 + 21906*l**2 - 1117908*l - 3554496 = 0. Calculate l.\nAnswer: -3, 132, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2. Let j(q) = -177*q**2 + 191*q**2 + 142*q**2. What is z(j(y))?\nAnswer: 48672*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2856307160.\nAnswer: 2, 5, 7, 2131, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5656 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 403?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**8)\/(k**(9\/7)\/k)*k**(2\/29)*k*k*k*(k**28\/k*k)\/k*k assuming k is positive.\nAnswer: k**(8279\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 567224 divided by 283612?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/30804 and -179\/1509396.\nAnswer: 1509396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3869524 - 0.3.\nAnswer: -3869524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-47042)\/(-28) + 72\/(-126)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 26*v + 150. Let s be ((-14)\/(-77) + v\/44)*-10. Suppose 11*o + s = 12*o. Which is the third smallest value? (a) o (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -14, 4, -1\/10, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -705537, -705548, -705559, -705570?\n\"Answer: -11*s - 705526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039021 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/1*(-109)\/(-2). Let l = p - 387. Calculate the highest common divisor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*p - 140, -11*l - p + 143 = -9*l. Let m = -67 + l. Solve -2*i + m = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 307883140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 567223335 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610246*-79.\nAnswer: 48209434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 17, 4, -3 in descending order.\nAnswer: 17, 4, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 13, k: 3}. What is prob of sequence ck?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 68*k**6\/15 + k**4\/12 + 14*k**3 + k**2\/2 + 84*k. What is the second derivative of m(y) wrt y?\nAnswer: 1632*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2161, -2268, -2477, -2788, -3201?\nAnswer: -3716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148977142991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4 = 4*r, 5*m - 5*r = 220. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2 - 1 = -z, -5*w - 9 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p + 4524 = 0. Let c be -2 + 511 - (2 - (2 - 2)). Suppose c = 9*g - p. What is g rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0584 + 12.8?\nAnswer: 12.8584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2396815, -4793639, -7190447, -9587233, -11983991, -14380715?\nAnswer: -16777399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 179, 1, -6, 2 in decreasing order.\nAnswer: 179, 4, 2, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 7*o - 9. Let y be g(4). Let t(d) = d**y + 5*d**2 + 27 - 4 - 3*d - 3. Let q be t(-6). Put q, -4, 6, -1 in increasing order.\nAnswer: -4, -1, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -36603?\nAnswer: -1\/5229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-10))\/((-2)\/(-1136)). Is b - (0 + 0 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -1\/2*i**2 - 3\/5*i**5 + 0*i**3 + 4 + 0*i + 0*i**4. Find the second derivative of k(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5437.\nAnswer: 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogogcoohogoogohoo. Give prob of picking 2 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 2*t**2 - 3. Let m be z(-2). Let q(n) = -2*n + 35. Let h be q(m). Let r(b) = b + 19. Let v be r(h). Solve 5*x + 8 = v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -27*k + 8. Let a(u) = -7*u + 2. Let i(r) = -4*a(r) + w(r). Give i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 12*k + 13. Let d be n(11). Solve -5*x + a - d*a = 19, 2*x - a + 9 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -381239 equal to -11055923\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 - 562*m\/15 + 112\/3.\nAnswer: 2*(m - 280)*(m - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - 147. Let f = b - -236. Solve 0 = f*c - 10*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1016\/33528)\/(1 + 4\/(-6))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**0\/p))**(-2))**(-31))**(2\/33) assuming p is positive.\nAnswer: p**(124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 0*m - 43*m)*((-3 + 2 + 0)*(-1 - 5 + 0) - 4 + 3 - 1)*(-22*m + 20*m + 24*m).\nAnswer: -4400*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/329 - -100\/329. Let p(c) = c + 9. Let n be p(-8). What is the closest to 1 in 5, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*((n*n\/(n\/(n*n**10))*n)\/n)\/n)\/((n\/(n\/(n\/(n*n**(-1\/3)))*n*n)*n)\/n**(-3\/8)) assuming n is positive.\nAnswer: n**(271\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -10. Let h = f + 1.999982. What is h rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 18 + 3. Is (2 - -176)\/(1\/u) - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.83 + 0.33. Which is the third biggest value? (a) h (b) 2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 19 and 0.095.\nAnswer: 19.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 594 + -422. Let r = i - 172.00000069. What is r rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4 - 2*s - 3*s - 14.\nAnswer: -5*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = o - 172. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i - 6*i - 14*i - 12*i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 2. Let d be p(1). Put -6, -3, d, 2 in descending order.\nAnswer: 2, d, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -6. Let g(n) = n + 7. Let w be g(k). Suppose b - 1 - 2 = 0, -2*c + 3*b = w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (-14 - (-17 - -9) - -7) + 14?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 6*c - 8. Let z be n(-7). Let j(r) be the first derivative of 5\/3*r**3 + 1\/2*r**2 - 13 + r. Determine j(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 9. Let i be s(-6). Which is the closest to -0.1? (a) i (b) 1\/4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**3\/21 - n**2\/7 - 4. Factor y(p).\nAnswer: p*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -27, -21, 19, 111?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418736 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 1, -2\/35 in descending order.\nAnswer: 4, 1, -2\/35, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/3 + f**2 - f - 26. Factor v(d).\nAnswer: -(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1880 = -3*t + 9655. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhqxqhhq. Give prob of sequence qxxq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**8\/30240 - y**7\/3780 - y**6\/1080 - y**5\/20 - 10*y**2. Let i(x) be the third derivative of h(x). Factor i(d).\nAnswer: -2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-3)\/(4 + -1))*-2. Let q be ((-2)\/4)\/(1\/g). Solve k + q*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(36)\/sqrt(18) - -5*sqrt(54)\/sqrt(3))\/(sqrt(1296) + (sqrt(1296) + sqrt(1296)*-4 - sqrt(1296) - sqrt(1296))*-4))**2.\nAnswer: -8*sqrt(2)\/63 + 321521\/35721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10*d + 75*d - 3423360 = 0. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooolzllzllzo. Give prob of picking 1 o and 3 z.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 871.0293 millennia?\nAnswer: 8710.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 4*t + 11. Calculate q(6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 107, -1\/2, -8, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10188.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.1. Let j = -19.1 - -19. Let d = s - j. Which is the nearest to 0? (a) -0.2 (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 11*f**5\/10 + 97*f**4\/3 - 9*f - 10. What is the third derivative of w(x) wrt x?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2 - (12 + -39). Suppose -5*b - j = g, -4*b + 2*b - 4*g = 8. What is the tens digit of b\/(-6) + 116 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 15*h**2 + 2*h. Let v(y) = 2*y**3 - 14*y**2 + 2*y. Let j(z) = z**2 + 6*z + 6. Let b be j(-6). Let u(w) = b*v(w) - 5*f(w). Solve u(n) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 2*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*b + 153*b - 6 = 0. Suppose -2*j + b*i = -22 - 12, -5*j + 104 = 2*i. Solve 5*c + j = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifi when three letters picked without replacement from {f: 4, n: 7, i: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6)*x**(-4\/7)\/x*x)**(-1\/2)\/((x**(-1)\/x)**(34\/3)\/(x**5*x\/(x*x**(4\/9)))) assuming x is positive.\nAnswer: x**(3781\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose -p - 22 = -a, 3*a + 60*p + 159 = 38*p. Let t = 3 - 1. Solve m = -2*h + h + 3*c - a, -t = -2*h - c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 2:08 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbkbppkpkprrkbrbk. Give prob of picking 3 k and 1 r.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x - 3*x + 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-3) + 4\/(-6). What is the highest common divisor of 25 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(80)*-1 - sqrt(80)) + sqrt(80))**2 + ((sqrt(80) - -1*sqrt(80))*-5)**2 - (2 + sqrt(80) + -3 + (5 + 3*sqrt(80) - sqrt(80) - sqrt(80))).\nAnswer: -8*sqrt(5) + 8076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1764) - sqrt(1764))\/(sqrt(1452) - -2*sqrt(1452)) + -1.\nAnswer: -1 + 7*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 - a**3 + 4 - 48*a - 56*a - a**4 + a**2 + 101*a to s*a**2 + b*a**3 + j*a**4 + o*a + t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -97, -145, -175, -181, -157?\n\"Answer: o**3 - 67*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -137\/252, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8077.5957 - -8078. What is n rounded to two dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -8*b + 3. Find the third derivative of -d**3 - d**2 + 0*d**2 + 0*d**b wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2876144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2520592 + 489118 = -194*h + 1412608. What are the prime factors of h?\nAnswer: 41, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 2\/(-2) - -3. Suppose -v*r = r - 60. Let n be 17 - (-2)\/((-8)\/(-12)). What is the greatest common factor of r and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/((-1)\/(-14)). Differentiate -2 + 4 + l*b**3 - 10*b**3 with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29501232 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/727?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/16 and -89\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 115 (b) -17 (c) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138 - -137.885. Let t = m - -0.063. Let z = 72.852 + t. Round z to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 7*k - 7 = -x, 0 = 4*x + 2*k - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1122, 4, 1\/20, 0, -98 in ascending order.\nAnswer: -1122, -98, -2\/7, 0, 1\/20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 8. Let c(y) = 2*y**2 + 5622. Determine c(g(z)).\nAnswer: 8*z**4 + 64*z**2 + 5750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650*j**5 + 2830*j**4 - 1824*j**3 - 2384*j**2 - 224*j + 96 = 0. What is j?\nAnswer: -2\/5, 2\/13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*k + 90 = -147*k. Solve 4*c - 20 = 5*j, -149*j = k*c - 144*j + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -50*l + 366. Does 14 divide v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29105, -29099, -29093, -29087?\nAnswer: -29081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 21*o - 3 = 0. Let d be (6\/(-8)*4)\/(o\/8). Suppose 5*u - 45 = -2*n, -3*n - d*u = -7*u - 35. Calculate the lowest common multiple of 7 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80294 + 28862 = 58*v. Is v a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 2. Let h be p(3). Let g(v) = -h*v - 6 + 1 + 14 - 8*v. Let r(n) = 4*n + 8*n - 162 - 18*n + 161 + 7*n. Give -2*g(l) - 18*r(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*x + 690 - 1332 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/(-142)*(-3)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2*a**6 + a**3 - 8. Find the third derivative of b(x) wrt x.\nAnswer: 720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024305334 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -6, -2, -1108, 2 in descending order.\nAnswer: 33, 2, -2, -6, -1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.663359 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 - 2*p**3 - p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-10))\/((-3)\/48))\/(88\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 12) to base 6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17804.\nAnswer: 2, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 5*y + 60. Let d = -16 - -50. Calculate the remainder when d is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13830 + -13775. Solve 77 = 44*x - d*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/103 + -125\/1133. What is the nearest to -3 in f, 2\/13, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 3*h**2\/2 - 4*h - 7. Let m be d(3). Suppose -m = -3*g - 2. Is g at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1759 - 0.1759. What is the closest to -0.2 in -2, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**2*z**2 + x**2*z - 2*x**2 - x*z**3 - 1172*x*z + 22*x - 12*z**3 + 435177*z**2 + 228 wrt z?\nAnswer: 4*x**2 - 6*x*z - 72*z + 870354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389745, 779488, 1169231, 1558974, 1948717?\nAnswer: 2338460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:19 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 2*r**2 - r**2 + 8*r**2 - 5*r - 3*r**2.\nAnswer: 10*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80425 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56544535?\nAnswer: 5, 41, 275827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 7. Let v be l(13). Solve 0 = -j - j - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/12*(-9)\/(-6). Let p be (2 - (-2 - -4))\/g. Let c = p + 8. What is the smallest common multiple of c and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20 - -13)*(8\/6 - 2). What is the remainder when z\/(9 + 448\/(-49)) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4120 + 5?\nAnswer: -4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) -2\/637 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 6*a - 3. Let x be ((-8)\/(-14))\/(16\/7 + -2). Suppose i + 4 = -x. Calculate m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 3*l. Let j be o(3). Suppose -m + j = -0*m. What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1501 in -2.7, 897, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291*j**5 - 3*j**4 - 3*j**3 - 10747*j**2 - 2*j + 2?\nAnswer: 17460*j**2 - 72*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Let x be (1 - 4) + 10 + 1. What is the greatest common factor of x and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14601 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: What is the closest to -0.2 in -2, 0, 11.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 1\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -80853.0953 and 0.3.\nAnswer: -80852.7953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/18 and 99\/106.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350 (base 6) to base 15.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + ((-43 - 11 - -12) + -13 - -7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14733913 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -149*u**4\/12 - 5*u**2 + 10057*u. Let v(m) = -2*m**2. Determine w(v(t)).\nAnswer: -596*t**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*j - j - 10, -4*j = 4*t - 20. Solve 0*h + h = 2*r, t = h + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*a - 680*a = 2119*a + 835*a - 44890 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178625347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005921 to five dps.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 26*b**2 - 19*b + 86. What is the thousands digit of m(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 3*p - 15, 5*p + 3 = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 4*p**2 + 3*p + 1. Let r(v) = -6*v**3 + 11*v**2 + 8*v + 2. Calculate 8*q(i) - 3*r(i).\nAnswer: 2*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5\/5 - 1668*h**4\/5 + 224418*h**3\/5 + 1634892*h**2\/5 + 2589843*h\/5 + 236208 = 0?\nAnswer: -5, -1, 259, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -304*k**2*s**3*y + 26*k**2*s**3 - 21*k**2 - 5*k*s**3*y wrt y?\nAnswer: -304*k**2*s**3 - 5*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*(-6)\/96)\/(((81\/(-84))\/9)\/3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 7*v**2 + 3*v + 10. Let d be j(7). Let s = d - 86. Let u = s - -91. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455869595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*b + 2, 2*u + 3*u + 5*b - 30 = 0. Let t be (90\/(-40))\/((-3)\/8). Let x(p) = -4*p**2 + p**3 + 2*p**2 - t*p**2 + 6*p + 1. Give x(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14571370?\nAnswer: 2, 5, 11, 139, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 7:36 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 2*i**2 + 7*i. Let c be s(-4). Let d(o) = -6*o + 1. Let l(f) = -7*f + 1. Let k(q) = 6*d(q) - 5*l(q). Calculate k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -6718*h + 6715*h - 23, 5 = 3*h + 2*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -n - 362, -4*h + 2*n = -0*n - 480. Let g(x) = 59 - h - x + x**3 + 68 + 6*x**2. What is the least common multiple of g(-6) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1055216 and -3\/5276080?\nAnswer: 5276080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2 (c) 0 (d) -2\/137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 - 5*b + 3. Suppose 2*d = 5*u + 2, 3*u - 2 = 3*d - 2*u. Let o be p(d). Let k = o + 63. Calculate the least common multiple of 18 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10847 + 10847.1. Which is smaller: r or 25\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 299, 595, 891?\n\"Answer: 296*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzvqqzqzuwqz. Give prob of sequence zv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 167*p**3 + 263*p**4 + p + 350*p**3 + 113*p**4 - 66*p**4 - 185*p**3 as u*p**3 + z*p**2 + v + f*p + r*p**4 and give r.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-24))**(2\/51))**(-1\/68))**(-20) assuming c is positive.\nAnswer: c**(-80\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1558 and 3382.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 183, 150, 87, -6?\n\"Answer: -15*w**2 + 12*w + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.0366?\nAnswer: 0.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(1\/13)*l)*l)\/l*l\/l**(-16) assuming l is positive.\nAnswer: l**(222\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 159747.9929 and -1.5.\nAnswer: 159746.4929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p + 104 = 33*p - v, 2*v + 136 = 4*p. Calculate the smallest common multiple of 6 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 6. Let p be 2\/2*0\/1. Suppose -48*h - 6 = -54*h. Calculate the lowest common multiple of t(p) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 26*f**2 - 15*f - 415. Calculate d(-10).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 - 1.12. Which is the second smallest value? (a) 2\/11 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343*f**5 - 182*f.\nAnswer: 6860*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 = 12. Suppose x*s + 5*z - 41 = 0, -s - 25 = -2*s + 4*z. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -906420*h**3 + 1416162.\nAnswer: -2719260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - (-1566 - -1566)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 50. Suppose -2*n + n = -c. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2682.1355 - 2704. Round t to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113037 or 113508?\nAnswer: 113037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)\/r**3*(((r**(-1\/2)*r*r)\/r)\/r)**(-2\/107))\/((r**(1\/4))**49)**(-45) assuming r is positive.\nAnswer: r**(234227\/428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 161 + -341 - -225.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -91, -280, -667, -1330, -2347, -3796, -5755?\nAnswer: -8302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/14)*d)\/d)\/d*d**(2\/15)*(d*d**(-6)*d)**8 assuming d is positive.\nAnswer: d**(-6917\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuujuuuuujujuu. What is prob of sequence ju?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 352 - 1718. What is the greatest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)\/((t**(-5)*t)\/t))**(-12\/13) assuming t is positive.\nAnswer: t**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184711360 and 2915.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*z**4 + 17 + 23*z**4 - 58 + 9*z + 3*z**2 - 9*z**3 + 35.\nAnswer: 3*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 5. Let s = 0 + -7. Let a(z) = 2*z - 11. Suppose -w = -22 + 19. Let u(j) = s*o(j) + w*a(j). Differentiate u(i) with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 5*o)*(10 - 21 - 18)*(0 - 1 + 2).\nAnswer: -145*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2*-6 + (sqrt(114) - (sqrt(114) + -2*sqrt(114)))*1)\/(1*sqrt(1944)*-3).\nAnswer: 5*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 3*a. Solve v + 2*f - 4*f = 11, -3*v - f + 12 = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 + 2*d**2 - 337*d + 3*d**3 + 2*d**4 + 354*d to s + u*d**2 + p*d + h*d**4 + g*d**3 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/154 (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ntoontnoootot.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/167, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -1201*r**4\/2 - 593*r**3\/3 - 2*r + 3645. What is the third derivative of b(l) wrt l?\nAnswer: -14412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*z + 46*z + 308*z - 6110 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0334 minus 7297131?\nAnswer: -7297130.9666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by -1.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/15555*-17*2\/(-4).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.3 rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:33 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 4\/7, -0.3, 79, 1.\nAnswer: -18, -4, -0.3, 4\/7, 1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0288? (a) -75 (b) 0.5 (c) -5 (d) -0.1 (e) -1\/42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*v - 360*v + 75 - 75.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17060, 33488, 49932, 66398, 82892, 99420, 115988, 132602?\nAnswer: 149268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 294. Let a(k) = -k**2 - 4*k - 20. Let i(m) = -m - 5. Let c(y) = 2*a(y) - 8*i(y). What is c(g(b))?\nAnswer: -8*b**4 + 2352*b**2 - 172872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**7\/14 - 31*x**4\/12 + 16*x. Find the third derivative of h(y) wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**3 + 0*p**2 + 0 - 19\/12*p**4 - 200*p. Let q(h) = -5*h. Calculate v(q(a)).\nAnswer: -475*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2 + 4*g = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787953?\nAnswer: 3, 262651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/88 or -1?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 - 22*x - 37. Is p(10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {f: 9, k: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 - 201.6. Let i = s + 8.6. Let h = -6.9 - -7. Which is bigger: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 19*s + 4. Let h(l) = -l**2 - 13*l - 3. Determine -7*h(k) - 5*i(k).\nAnswer: 2*k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508 = -3*y + 539 - 54. Put 2, 4, y in ascending order.\nAnswer: 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3891*v**3 + 29*v + 3885*v**3 + 33*v - 62*v.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 76. Suppose -18 = 3*w + 4*l - j, -w + 15 = -2*l. What is the highest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504 and 468?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/23 - 415\/644. Let g = 25\/84 - u. Put -1, -2\/9, g in descending order.\nAnswer: g, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20990\/3 + -7251. Let i = w - -252. Let r(m) = -2*m**2 - 6281*m - 6281. Let o be r(-1). Do i and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -5*g**3\/3 - 31*g**2\/2 + 6*g + 1. Let p be n(-4). Solve -3*k + p = 0, -5*i + i - 10 = 2*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -1\/4, 60299?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 - 8*y**4 + 24 - 1 - 11 - 11 + 4*y**2 - 3*y to the form x*y + i + s*y**3 + q*y**2 + n*y**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:54 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/(-42)*6\/(-4). Suppose -a*y + 114 = 2*h, -7*y - h = -3*y - 213. What is the highest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 625 - ((1 - -2) + -4). Suppose -558 - h = -8*d. Does 37 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/13 in 0.12, -4, 3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77.1 + -0.155.\nAnswer: -77.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a + 45. Suppose -5*v + 2*v = -a. Suppose -4*x = 3*i - 2 - 5, -5*x - 5*i + 5 = 0. Solve v + 7 = x*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*c + 2273, 0 = 2*c - c + 1. Suppose -x + o = x - z, 0 = -x - 5*z + 351. Let r = 612 - x. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 77 + -3 + 0\/(-2). Let j be 3\/4 - t\/(-8). List the prime factors of (84\/j)\/(6\/20).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 4*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*g*r**2 - 22462*g - 201781*r**2 + 1 wrt g?\nAnswer: -19*r**2 - 22462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 105*t + 3947. Is d(-62) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 5*k - 12, -n + k = -3. Is (3*n)\/((-288)\/(-1382496)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j**2 + 92*j**2 + 15*j**2 - 120*j**2 - j**3 + 292 to the form i*j**2 + r*j**3 + q*j + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnilninini. Give prob of sequence nnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**5 + 639*i**4 + 43998*i**3 + 874686*i**2 - 7338033*i - 8169357 = 0.\nAnswer: -73, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + -7. Is n != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1da (base 15) to base 2.\nAnswer: -110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-13) + (-450)\/117 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/168 - (-20)\/7. Suppose l*c = 5*c - 16. Suppose -c*d = -3*d - 50. Calculate the highest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/20 and 10\/421599?\nAnswer: 8431980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = 4*s - 280 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1696 = -3*m + 5*m. What is the common denominator of m\/36*(-6)\/208 and (-2)\/(4*-6)*-151?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 177*q - 175*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 98, 158, 272, 458, 734, 1118, 1628?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*w - 16 = 132*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82379281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-5*y**3 + 2*y**3 + 2*y**3 + (-y**2 + 5 - 5)*(-y - 3*y + 5*y) + 9*y**3 - 16*y + 16*y).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123376 a multiple of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001584277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73245.\nAnswer: 3, 5, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23367660 divided by 4673532\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-3)\/12). Let k(b) = 5*b + 8. Let o(m) = -m. Let a(p) = k(p) + 6*o(p). Let v be a(j). Solve v - 6 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 944819 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m + 12. What is the third biggest value in 5\/6, -5, 6\/11, m?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3948.00002303 + -3948. What is k rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14*(-7 + 3)\/((-8)\/(-8)). What is the highest common factor of h and 952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155834653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 + g. Let j(h) be the second derivative of h**3\/2 + 3*h. Give f(j(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) + 1032\/10. Suppose -3*g + 58 = 4*c - a, g - 3 = 0. Suppose 0 = 2*m - 136 - c. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/39466 - -5368351\/7695870. Let g = 2\/65 - y. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*d + 1 - 2 + 1.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430214 - 230221?\nAnswer: 144443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1, 3, -1, 6 in decreasing order.\nAnswer: 6, 3, 1, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-56)\/(-1)))\/((-2)\/(-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1949284, -3898567, -5847846, -7797121, -9746392, -11695659, -13644922?\n\"Answer: 2*t**2 - 1949289*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1405392 and 702696.\nAnswer: 1405392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -213142 (base 5) in base 14?\nAnswer: -2933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -183*a*j**2 - 2*a*j - 162458*a - 10*j**2 - 2*j wrt j.\nAnswer: -366*a*j - 2*a - 20*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1440 and 2003280?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 47.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*a**2*y + a**2 - 34*a*y + a + 46614*y wrt a?\nAnswer: -72*a*y + 2*a - 34*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 2*t + 5*t + 0*t + t - 2*t + (-1 + 4 - 1)*(-4*t + 2*t + 0*t) + 4*t - 4*t - 2*t - t + t - t + 12*t - 11 + 11.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5007687 to the nearest integer?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(147) - (1 + sqrt(147))*-3)**2*-4*4.\nAnswer: -37776 - 2688*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - l + 494 = 0, -5*l - 255 = -3*g + 209. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323312222 + -10003?\nAnswer: 2323302213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - (-2 + 8 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/14, 3\/11, -1, -10.9, 0?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.2 (c) -54155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32050 (base 6) to base 11\nAnswer: -32a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233809.\nAnswer: 17, 72577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -3 - -8 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 5 - 19*r + 10*r + 6*r. Let q = 12426 + -12420. Determine v(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 6*x + 7. Let j be m(-8). Calculate the highest common factor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = v - 3*v + 5*g, -g = -2*v + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2.83, -1\/6, -0.1, 0.24, -3 in descending order.\nAnswer: 4, 2.83, 0.24, -0.1, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 389, 420, 333, 122, -219, -696, -1315?\nAnswer: -2082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -c + 3, -1 - 3 = 4*r + 2*c. Let t be -2*295*(-19 + r). Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(12\/(-15))\/(2\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20184 divided by 6\nAnswer: -3364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9db56 (base 14) to base 10.\nAnswer: -383648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -37806117\nAnswer: -11341835.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3\/3 + 3*s - 6. Let v(k) = 19*k. Give v(y(a)).\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x + 2. Let v(k) = k. Let z(u) = -u**3 + 12*u**2 - 10*u - 14. Let o be z(11). Let g = 4 + o. Give g*p(w) - 6*v(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -849.9 - -763. Let b = -34.4 + z. Round b to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 2 = -14*z. Find the common denominator of (172\/(-80) + 0)\/z and 9\/26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - 4\/(-30). Let z = 0.75 + -6.15. Let s = z - -8.4. Which is the biggest value? (a) s (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34\/(25\/(-10) - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3*w**3 + 15*q**3*w - 246*q**3 - 39*q**2*w**3 + 97*q**2 wrt q.\nAnswer: -12*w**3 + 90*w - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4 + (-2 - 4 + 5)*(0 - 4 + 2) + 2 + 0 + 5)*(-4*h - 4*h - 4*h).\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5\/4 - 233779*p**4\/4 + 759821*p**3 - 701376*p**2 = 0.\nAnswer: -233792, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 0.27\nAnswer: 19.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-14)\/(-10))*470\/(-282)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let b(y) = 4*y - 1. Let u be 20\/8*(-14)\/(-35). Determine u*b(j) - 6*x(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5\/4 (b) 2\/15 (c) -1\/6 (d) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10847926 by -5423963.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17195, 37516, 57825, 78116, 98383, 118620, 138821, 158980?\n\"Answer: -a**3 + 20328*a - 3132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/3 + 4*j**2 - 68*j + 352\/3 = 0.\nAnswer: -22, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 13*p + 63. Give b(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) -3 (c) -0.003 (d) 2 (e) 1\/5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/5 + 18008*h**4\/5 - 81125998*h**3\/5 + 485837984*h**2\/5 + 1215125999*h\/5 + 648144008\/5 = 0. Calculate h.\nAnswer: -1, 8, 9001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3*f = 6, -11 = -4*w + 3*f - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370 by 150362.\nAnswer: 185\/75181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -78 + 75 - (-13)\/4. Suppose -6*a + 15 = -3*a. Let c = 8 - a. What is the nearest to -2 in c, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + (-3 - (1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*b**5 - b**3*g**3 + 17*b**2*g**3 + b**2*g wrt b?\nAnswer: -2760*b**2 - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146861869323813 - 2.\nAnswer: -146861869323815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34481649*c**2 + 472371*c + 38 wrt c.\nAnswer: 68963298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 20330?\nAnswer: 20311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-2)*6162612\/(-1611). Which is smaller: v or 11477?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 36?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18 + -1)\/((-38)\/152) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 419\/1330 + -2\/133. Let d = -1\/5 - x. Which is bigger: -0.4 or d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + (-592)\/(-64))\/((-2)\/(-17974904)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7285.9986 microseconds to hours.\nAnswer: 0.0000020238885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99702.79mm to kilometers.\nAnswer: 0.09970279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40719247?\nAnswer: 40719247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7486*j**2 - 3*j + 10304. Let a(t) = -44917*t**2 - 17*t + 61822. Let f(r) = -3*a(r) + 17*l(r). Differentiate f(s) with respect to s.\nAnswer: 14978*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32730816534 + 15\nAnswer: -32730816519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 16*t - 13. Let f be z(15). Let j(s) = 10 - f*s**2 - 10. Let x(i) = 32*i. Let u(a) = a. Let c(g) = -48*u(g) + x(g). Give j(c(v)).\nAnswer: -512*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1109095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 111, -3, 0.181, -4?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71, 339, 769, 1355, 2091, 2971?\n\"Answer: -o**3 + 87*o**2 + 14*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5486, -10975, -16464, -21953, -27442?\nAnswer: -32931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -853.9776 - -854. Let u = 8.09 - 8.0469. Let v = u - y. What is v rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/8065 or -57?\nAnswer: -3\/8065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 - (-36 - (26 - 60))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rereeeeeeer?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 295 + (1 + -2)*(-12)\/(-4). Suppose -4*q + 5*j = -230, -5*q - 4*j - x = -10*q. Are 60 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2 - 8. Let h(t) = 7*t**3 - 4*t**2. Let v(k) = -8*k**3 + 2*k**3 - 160*k**2 + 163*k**2 + 0*k**3. Calculate f*h(q) + 4*v(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -5*t**5\/4 - t**2\/2 - 5*t - 1. Let k(y) = -y + 10. Let v be k(11). What is s(v)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5975.2 - -5975. What is the nearest to x in -5, 3\/8, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*u**2*x*y**2 - 3*f*u**2*x - 2*f*u*x*y + 12*f*u*x + 4*u**2*x + 2*u*x*y**2 + 2*u*y**2 wrt u?\nAnswer: 4*f*x*y**2 - 6*f*x + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*h + 367*h = 172*h - 588 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592015 and 13471.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:47 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 669 + -1?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 408783, 408781, 408779?\n\"Answer: -2*z + 408785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5500688 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39454421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-30)\/(-36)*(-2)\/20\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 36*b + 27*b. Suppose 11*l + 0*l = 44. Solve -5*c - 4 = 2*q, -2*c - b = l*q - 2*q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z - z + z)*(0 + 2 - 4)*(0*z - 6*z - 8*z).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Let k(i) = 0*i - i + s*i. Let w(v) = 6*v. Let b(a) = a. Let q(z) = -22*b(z) + 4*w(z). Calculate q(k(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8052, 7893, 7734?\nAnswer: 7575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 44 = 4*k. Suppose -4*l + 56 = -2*u + 208, 0 = -u - 2*l + 76. Calculate the remainder when u is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - (-25 - ((-32 - -24) + -6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-1 + -3 + 3 - 9) + 28 + -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22386277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 12692 - 13289 = -3*f, -b - 4*f + 39 = -9 for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z**2 + 2*z. Let c be g(-4). Let b = c - 5. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1167185600 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.56437 and -2378.\nAnswer: -13232.07186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2534624 and 73824.\nAnswer: 7603872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:32 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, e: 2, r: 7}. What is prob of picking 2 a and 1 e?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 15. Which is the nearest to r? (a) 2\/7 (b) 1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u + 38*u = -768. Suppose -46*y + 45*y + 5*f = 40, -u = 2*y - 2*f. Is y at most -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 6 - 6) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 573838.7?\nAnswer: -573838.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + -2*sqrt(170))*-6 + -4*sqrt(170)*3)\/(-5*sqrt(640)*1 - (sqrt(640) - (sqrt(640)*2 - sqrt(640)) - sqrt(640))*3).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -76, -112, -172, -262, -388, -556, -772?\n\"Answer: -x**3 - 3*x**2 - 2*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 5 + 5 + (4*n + 2*n - 4*n)*(0 + 2*n + 0))*((126 - 69 + 52)*(0 - 6 - 2) - 1 + 1 + 1).\nAnswer: -7839*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 3*i - 11, 2*p = 3*p + 3*i + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.91 - -0.09. Let i(w) = -2*w - 2. Let x be i(-2). Suppose 2*n = -x*n. Which is the third biggest value? (a) n (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -435?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2225\/165 - (-6)\/33. Let h(k) be the first derivative of 0*k**2 + 27 - i*k**3 + 0*k. Let o(a) = -2*a. Give o(h(y)).\nAnswer: 82*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/3 or -3049?\nAnswer: -3049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10 = -b. Let i be ((b - 3) + -2)*-1. Let x = 16 + i. What is the smallest common multiple of x and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -11*j**7\/2520 + 17*j**5\/120 - 7*j**4\/4 - 17*j. Let o(s) be the third derivative of c(s). Differentiate o(h) wrt h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3))**49\/(((g\/g**(-7)*g)\/g)\/(g\/(g\/g**14))) assuming g is positive.\nAnswer: g**202","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1596 and 2361168.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1616 > -1617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-25)\/i**48 assuming i is positive.\nAnswer: i**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 2*q + 264. Is 8 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - o**2 + 5*o**2 + 3*o + 2. Let z be f(-2). Suppose 0 = -4*y + z, i + 2*y - 42 = -4*i. Calculate the lowest common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 12*k**2 + 14*k + 9. Let y(z) = -z**3 + 5*z**2 - 7*z - 4. Let l = 44 - 41. Let t be y(l). Does 24 divide x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.5 + -10. Let o = -1.1 + 1. Put 4, h, o in increasing order.\nAnswer: o, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131934?\nAnswer: 2, 3, 11, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23678 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100001 - 111001000?\nAnswer: 11011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030388 times -307?\nAnswer: -9.329116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 - x**2 + 1. Let w be c(1). Suppose v = 1, -w*v - 28 = 3*h - 4*h. Solve -4*u = 3*j + 4, 3 = -2*j + 5*u + h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*n**2 - 12*n**3 + 22*n**3 - 7*n**2 - 8*n**3.\nAnswer: 2*n**3 - 45*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 + 4. Let b = 2149 - 2143. Let s(j) = 5*j**2 + 3. Calculate b*c(z) - 7*s(z).\nAnswer: -5*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 80 = 3*i. Suppose -6*t - i = -13*t. Suppose -t*a + 62 - 12 = 0. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**5\/3 + 65*v**4\/3 + 277*v**3\/3 - 65*v**2\/3 - 92*v = 0. Calculate v.\nAnswer: -4, -1, 0, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 139*m**4\/12 + m**3\/6 + 3*m**2\/2 - 107*m. Suppose 5*k - 2 - 5 = -4*g, 3*g + 3*k - 3 = 0. Is u(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 3. Let n be k(2). Let l(t) = 308*t**2 - 157*t**2 + t**3 - 149*t**2 - 1. Calculate l(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 - 285330*h - 4070660445 = 0.\nAnswer: -28533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -157413 and -157418 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 20, -11*a + 18 - 7 = -7*a + 5*x for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*i**2 - 189*i**2 + 101*i**2 - 29*i**2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21538.75 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2482*t**2 + t**3 - 3 + 18*t - 2490*t**2 - 5*t. Let i be a(6). Solve -i*m = 3, -6*g - 2*m = -3*g + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555960, 555955, 555950, 555945, 555940?\nAnswer: 555935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-21) + 101\/14. Let f = p + 59\/6. Find the common denominator of (1\/(-2))\/(4\/(-70)) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a + 4. Let q be i(4). Let x = -25411\/10 - -2537. What is the common denominator of x and 0\/9 - 174\/q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110.3 + -95. Let d = p - 15. Which is the nearest to 2? (a) -1\/2 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = 0. Suppose f = 2*r - 6 - 2. Solve c + r*w - 13 = 0, 2*c + 4*w = 2*w + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*j**5*n - 34*j**5 - 5*j**3*n + 70119*j**2*n + 2*j*n wrt j?\nAnswer: 960*j**2*n - 2040*j**2 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, f: 9, d: 2}. Give prob of picking 2 r.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 38224*w\/3 + 182634272\/3.\nAnswer: 2*(w - 9556)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + 15\/(-2). Let r(z) = -z**2 - 6*z + 1. Let q be r(h). What is the smallest common multiple of 2 and 3\/(1 - q\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 1 - 1)*(-2*w + 3*w + 0*w) + (-w + w + 2*w)*(-1 + 2*w**2 + 1).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 267698593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -976*a**5 + 2207*a?\nAnswer: -19520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 1610.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 20544?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-47862)\/15)\/((-15)\/50). Let r = g - 4114. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3\/2 - 51*y**2\/2 + 30*y + 54 = 0.\nAnswer: -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-4) - 5\/20. Suppose -4*w - 246 = -b*q, w = 4*q + 4*w - 203. Suppose -x + q = 4*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/35 + (-2360)\/(-28). List the prime factors of 2\/(-7) + (-15)\/21 + m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3080 is divided by 643.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -6)\/(-4 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*i - 73*i - 71*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -11. Let t be (4\/(-24))\/(1\/(-2)). Which is the third biggest value? (a) t (b) -3\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.024 - -1.024. Let l = -31 + 59\/2. Suppose -2*d = -d + 5, 4*d + 32 = 4*g. What is the closest to -2\/3 in j, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407489.5 rounded to the nearest one hundred?\nAnswer: 407500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 350.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 3*f**3 + 0*f**3 + (64*f + 34*f + 671*f)*(8*f**2 - 11*f**2 + 14*f**2).\nAnswer: 8460*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18853 = -447*b + 8495 - 6786 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68171850 and 57675?\nAnswer: 68171850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2765270309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Let o = -2 + m. Let j = -4\/47 + -113\/329. What is the second biggest value in o, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650173.\nAnswer: 7, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 11. Let w be p(6). Let q(u) = 5*u - 5. Let b be q(w). Let o be (b\/(-12))\/((-2)\/4). Let h(g) = 2*g + 5. Calculate h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2) + -22*10\/50. Which is the closest to -1\/2? (a) 10 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*(500\/(-5))\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/90 and 12\/35.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 62 + 138 = 0. Solve 3*n + z = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.328 and -6.8.\nAnswer: 15.8304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*w + 163*w - 130*w - 6718 = 626 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 18*p + 1. What is the units digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9078111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13018, 26040, 39060, 52078, 65094, 78108, 91120?\nAnswer: 104130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4669 is divided by 123.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 4*q - 2*q)*(-1 - 1 + 0)*(-1 - 1 + 0) in the form w + i*q and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -46. Let j be h\/2*(35\/(-15) + -1). Let p(c) = -2*c**2 - 7*c + 17. Let q be p(j). Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5bf3eb (base 16) to base 12\nAnswer: -202748b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7409 is divided by 127?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {m: 14, v: 4}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1774, 2079, 2858, 4339, 6750, 10319, 15274, 21843?\nAnswer: 30254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 10*j**2 - 12*j + 28. Let x be o(9). Which is the nearest to -2\/3? (a) x (b) 0.5 (c) 3\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 309, 339, 387, 453, 537?\n\"Answer: 9*t**2 + 3*t + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/24 + 9*c**3\/4 + 164*c. Determine o so that x(o) = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*p - 836 - 967*p**3 - 270*p**4 + 965*p**3 + 844 + 3*p**2 wrt p?\nAnswer: -6480*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.36, -0.2, -761?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62676.9 + -0.29\nAnswer: -62677.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.457 - -0.057. Let s = m - -0.4. What is the third smallest value in -12, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-12))\/(1\/(-4)). What is the nearest to -1 in 0, r, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 109163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 3*h**2 - 3*h - 2. Let p be y(-2). Let q(b) = 1 - 638*b + 211*b + 217*b + 211*b. Calculate q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15bc7da - -1?\nAnswer: 15bc7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/24*-4)\/(15\/(-84)*-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148181180*y**4 - 139727225*y**2.\nAnswer: 3556348320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g - 1. Let y(z) = 4*z**2 - 2*z - 2. Let o(x) = -3*x + 17. Let a = 111 + -105. Let r be o(a). Give r*y(k) + 2*i(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from toiwwwgwpgtppog?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-490)\/105)\/((-2)\/9 - 2\/18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x - 7. Let u(p) = 13*p - 11. Let m(l) = -8*d(l) + 5*u(l). Differentiate m(y) wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -8 - (9 + -23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 10, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 382*h - 251880. Calculate l(728).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14657 + 4402720833?\nAnswer: 4402706176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 4, 2\/9, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - (0 + -1))*-3. Let n = j - 30. Let w = n + 24. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3690*t**2 - 1235*t**2 - 1226*t**2 - 1242*t**2.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v**3 + 143\/6*v + 169\/6 - 28*v**2 = 0 for v.\nAnswer: -13\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 323.605\nAnswer: -1294.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Let l(n) = -56*n**2 + 172. Calculate q(l(t)).\nAnswer: 6272*t**4 - 38528*t**2 + 59168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339367 + -2375537\/7. Find z, given that -18\/7*z**4 + 0 + 88\/7*z**2 + i*z + 48\/7*z**3 = 0.\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219780 by 45.\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1122414cm in meters?\nAnswer: 0.001122414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -24*g + 20. Let t(i) = -i + 1. Give 40*t(f) - 2*x(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/170*(255\/205 + -1)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = h - 4*l, 5*h = 8*h + l - 158. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -37*k**3\/6 - 1449*k**2\/2 - 351*k = 0.\nAnswer: -117, -18\/37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 25*k + 217*k - 16786 = 0. Suppose 376 = d + 4*r - 337, r = 5*d - 3460. What is the greatest common factor of k and d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -695, -1364, -2031, -2696, -3359, -4020, -4679?\n\"Answer: k**2 - 672*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 18*d - 150 = 3*d. Let p(i) = 19*i**2 - 4*i. Calculate the lowest common multiple of p(-2) and d.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l + 1. Let o be h(7). Suppose w + 6 + o = -3*z, -4*z = w + 14. Let q be (3\/w)\/((-54)\/180). Is 2 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Suppose 0 = 9*g + 45 - 126. Let t = g + i. Calculate the greatest common factor of t and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + 7 + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.73 and -15?\nAnswer: -355.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1354\/(-28) + (-3)\/6. Let l = 49 + q. Calculate the common denominator of 64\/9 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/3 + -2)*-24. Let v = j - -33. Suppose 5*z = -8 - v. Let w(d) = d**2 + 3*d - 7. What is w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2. Let n(s) = 5*s - 2. Let x(z) = z - 1. Let u(c) = 2*n(c) - 4*x(c). Calculate u(k(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3228 - -3280 - (-1 - ((-2 - -2) + -3))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2792570 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*1*3 - sqrt(2057)) + 2 + sqrt(2057) + -4)**2 + -3.\nAnswer: -132*sqrt(17) + 18514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(252) + 0)**2 + (sqrt(7) - 4*(0 + sqrt(7))) + (sqrt(7) + (sqrt(567) + 0 - sqrt(567)))**2.\nAnswer: -3*sqrt(7) + 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*r + 86*r - r)*(r**2 - r + r + (2*r - 2*r + 2*r)*(0*r + r + 0*r)).\nAnswer: 156*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 900921\/5 less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231700 and 7300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 0.4, -5.\nAnswer: -5, -1, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.24, -722, 6.4?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 250722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2813244887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = 2*l, -u - 2*l + 22 = 10. Let t be 86 - (7 + -1)\/(-3). Calculate the greatest common divisor of u and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2920 and 2044.\nAnswer: 20440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*p + 31, -4 = -3*j - 2*p + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 0*i + 6*i)*(20 - 20 + 4*i).\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 10275 - 1659. Suppose -5*i = -2*i - a. What are the prime factors of i?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-288*j - 10518 + 10518)*(-2 - 1 - 1) - 3*j + 2*j + 0*j)*(-4*j**4 + 6*j**4 + 0*j**4).\nAnswer: 2302*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 621 and 263649?\nAnswer: 2372841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 3*u + 3*o, 0 = 3*u + o - 5*o - 167. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 7 = 2*l, 6*m - 34*l + 29 = -25*l - 10*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 160.148.\nAnswer: 1761.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0285272067 to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t)**(5\/11) assuming t is positive.\nAnswer: t**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/23, 4, 0.41, 9, 2\/15 in ascending order.\nAnswer: 3\/23, 2\/15, 0.41, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1398 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7541 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30399315 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) 0.0232 (b) 0.4 (c) -3 (d) -4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000093394 rounded to seven dps?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.341 - -602.041. Let r = p + -630. Let q = -30 - r. What is q rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 6*b - 2. What is o(-7)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -392*l + 5867 - 5867 in the form q + c*l and give c.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 - 3*x**2 - 3*x**2)*(506*x - 1349*x - 3324*x)*(-1 - 2 + 1) to i*x + h*x**2 + b + f*x**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-14)\/4*176 - -2). Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(70)\/(sqrt(5) - (sqrt(5) - (sqrt(180) - (sqrt(180)*3 + sqrt(180)) - sqrt(180) - sqrt(180)))))\/(6*sqrt(2)*1 + (sqrt(20)*1)\/sqrt(10)))**2.\nAnswer: 1\/6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/612 and -151\/7650.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-15) + 10\/(-25). Solve z - 16 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -307*x*z**2 - 27*x*z - 1616*z**4 - z + 109883 wrt z.\nAnswer: -614*x - 19392*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (11 + -1 + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744752 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2951*l = -2925*l - 560482. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5855648 - 5855648.06700026. Let j = 7.767 - 7.7. Let d = j + c. What is d rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = -4. Let a be (24\/(-6))\/(2*i). What is the third derivative of -2*c**a + 4*c**2 + c**6 + 0*c**2 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 4*t - 5*t)*(-1 - 2*t + 1)*(-2 + 3 + 4*t - 3) + t**3 + 944*t - 944*t to the form j*t + f + a*t**3 + p*t**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(4)\/sqrt(50) - (sqrt(66)\/sqrt(3)*5)\/sqrt(11))**2.\nAnswer: 48*sqrt(2) + 1777\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36\/85?\nAnswer: -36\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 137\/3. Suppose 5*j + n + 2*n + 412 = 0, 5*j - 5*n + 420 = 0. Let u = j + 82. Which is the closest to 0? (a) k (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + sqrt(180) + 1))**2*6.\nAnswer: 432*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10275 divided by 2055?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91500 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1415 - 300 = 0. Suppose v = 3*q + 4*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2923\/574 + -5683777\/1081990. Let z = d + 1\/145. Do 1\/6 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 31.59055 decades?\nAnswer: 0.3159055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14476 divided by -7238?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/30)\/(5\/50*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z - 1. Let y(u) = -4*u - 1. Give -3*b(d) + 7*y(d).\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 289 - 290. Sort w, -3, 10, 4 in decreasing order.\nAnswer: 10, 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1. Let m(v) = -2*v. Calculate 12*a(f) - m(f).\nAnswer: 2*f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28988522 to the nearest integer?\nAnswer: 5384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 3*i. Let l be p(4). Let f = l - 13. Calculate the common denominator of 31\/12 and (1\/(-12))\/(f\/114).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -256 + 255.99995. Round n to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12)*-1) + 1.\nAnswer: -sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21312 < 21312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -7*z**4\/12 + 7*z + 2. Let b(g) = -2*g + 3. Let h(c) = -2*c + 2. Let t(f) = 2*b(f) - 3*h(f). Give p(t(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*v**4 + 2*v + 12 - 726*v**4 - 308*v**4 wrt v.\nAnswer: -12216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2. Let n(i) = 1775*i**2. Determine n(d(u)).\nAnswer: 7100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**2 + 5358*h - 5358*h - 333*h**3 to the form l*h**2 + n + c*h + g*h**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -13\/15, 0.4, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/6 + 3*v**3\/2 - 2*v**2 - 12*v. Is z(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -607*r**2 - 4413*r - 1160. Give t(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 110 = -2*a, 5*a - w = -2*w + 329. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:49 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 5669137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 8*j - 6. Suppose -39 = 3*h - 3*g, 3*h = -6*g + 2*g - 4. Calculate o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 45\/20)*0. Let f(g) = g**3 - g**2 + g + 4. Let w be f(p). Solve -2*q - 5*j - 1 = 3, -4*q = -w*j + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)*j)\/(j*(j**12\/j)\/j*j)*j**8\/((j*j*j**(-4)\/j)\/j*j) assuming j is positive.\nAnswer: j**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18212857075.304 and -0.14.\nAnswer: 18212857075.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -53\/30, 5, 1\/28, 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = z + 2*l - 367, z - 373 = -3*l. Suppose z = 18*w - 4*w. Calculate the highest common factor of w and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1546, 1545, 1544, 1543, 1542?\n\"Answer: -g + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-15*r - 12*r + 2*r)*(r - r + 2*r) in the form z*r**2 + t*r + v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831 at least as big as 5494\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 493653956*x**2 + 449627034?\nAnswer: 987307912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 125665, 251355, 377045, 502735, 628425?\n\"Answer: 125690*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 237210687 and 8323182.\nAnswer: 474421374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 43*y + 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (10 - (-9 - -27)) - -7 - (7 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325109718?\nAnswer: 2, 3, 18061651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768 and 1747344.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 - 2*c + 3. Suppose 3*g - 45 = 3*t, -1 = g + 4. Let p = t - -24. What is n(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.86 * -8707\nAnswer: -7488.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -0.11073.\nAnswer: 27.11073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96560 - 36795. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**4 - 1254*y**3 - 2*y**2 + 14487*y.\nAnswer: 36*y**2 - 7524*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32274 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -44.1?\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -4, -230, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {w: 1, j: 2, h: 3, o: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32185.\nAnswer: 5, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.1. Let t = g + -0.1. Sort 0.5, 1\/5, t in decreasing order.\nAnswer: 0.5, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23580 + 29666 = 2801*f + 126529 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12520)\/56 - 0 - 6\/14. Does 9 divide l\/35*(-35)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwububbubbub. Give prob of picking 3 b.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 i, and 1 k when four letters picked without replacement from {z: 6, l: 2, t: 3, i: 1, k: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27717 is divided by 693.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211101 - 110222001?\nAnswer: -21010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 9*o - 4. Suppose 7*f - 15 = 2*f. Suppose -2*v + 7 = -f*v. What is the smallest common multiple of p(v) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1298537 to four dps.\nAnswer: -0.1299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/3 (c) 4 (d) 3 (e) 1\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -23 + (4 - -2) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 4)*((2*j - 2*j - 2*j)*(-3 + 4 - 3) + (-3 + 4 - 2)*(3*j + j - 3*j)) as c + t*j and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 + 4*s - 13. Let m be k(-6). Let n be (-12)\/4 - m - 4. What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (1254\/(-110) + 9). Factor -2\/5*t + 2\/5*t**v + 0.\nAnswer: 2*t*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 5. Let i = 4.0014 + d. What is i rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6)\/((-396)\/(-22)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17*n**2 - 4*n + 4. Let a(w) = -17*w**2 + 4*w - 4. Let b(z) = -7*a(z) - 6*l(z). What is b(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (-1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/118 (b) -0.3 (c) -1 (d) 79 (e) 156\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -947 - -1038. Calculate the remainder when 284 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14240 - 14262.009. Let u = 22 + y. Round u to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -0.06452?\nAnswer: 0.16452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/105 and (6\/(-75))\/(12\/685)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -28*((-38)\/(-8) + -5). List the prime factors of j + -4 + 184 - -2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -403 - -403. Let y(f) be the first derivative of 0*f - 3\/28*f**4 + 0*f**2 + j*f**3 + 1\/35*f**5 + 1. Factor y(b).\nAnswer: b**3*(b - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 220 - 1516. List the prime factors of a.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160340228355451250*b**2\/13 - 2265146200*b\/13 + 8\/13 = 0. What is b?\nAnswer: 2\/283143275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - l**2 - 8*l - 4. Let s be r(3). Let m(f) = f**2 + 3*f - 3. What is m(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u + 48. Suppose -n = -0*v + v - 19, 2*n = -5*v + 86. What is the units digit of v\/3 + (-8)\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 10.7674ml?\nAnswer: 0.0107674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982452425?\nAnswer: 5, 109, 347, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:39 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvnvknvvl. What is prob of sequence kv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*y - 1 + 3 = 0, -y + 11 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Solve 0 = v - x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 147190*y**2 - 147205*y - 294390.\nAnswer: 5*(y - 2)*(y + 1)*(y + 29439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18 - (-150)\/(-36))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 51.8. Put z, 3, -11 in descending order.\nAnswer: 3, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3772 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:36 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*z + 3\/8*z**4 - 9*z**3 + 249\/4*z**2 + 363\/8 = 0. What is z?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4 - 16. Suppose -3 = r*w - 24. Is (1 + 12)*(w + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -132*h**3 + 2*h**2 - 1. Let x be j(-1). Find the common denominator of x\/56 - (0 + 0) and -73\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97811 is divided by 523?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.835 + -0.165. Suppose -2*w = -3*w - 123. Let v be (5 - 1) + w\/30. Which is the fourth biggest value? (a) 0.4 (b) -2 (c) v (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2667947 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/62 and 142\/364*9 + (-18)\/117.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 3*y + 6, -4*y = -s + 2*s - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/27906 and -93\/18604.\nAnswer: 55812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/103542823 or 1?\nAnswer: -3\/103542823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -829758\nAnswer: 3319032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 - v**2\/2 - 4*v + 81. Determine s(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -107*z - 194*z**2 + 2*z**4 - 154*z - 27*z - 128 - 4*z**4 - 36*z**3 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-21)\/9 + 3)*3 is divided by (-2)\/(-1) + (-1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 28339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3216 + 3212. Which is the second smallest value? (a) -2 (b) -5 (c) 5 (d) p (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t - 36 = 0. Let m be (27\/(-6))\/((-1)\/2). Let z be t\/m*(2 - -1). Put 4, -2, z in descending order.\nAnswer: 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -28, -24, -20, -16?\n\"Answer: 4*q - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 130349832.2 to the nearest one thousand.\nAnswer: 130350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let f be b(-1). Suppose 2*m - 10 - 2 = -4*g, -g + 5 = m. List the prime factors of (g - -1)*(f - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000054662747 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -77, 2 in decreasing order.\nAnswer: 5, 2, 0, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*m - 331 = -h, -h - 3*m + 64 = 0. Let b = 10 - 6. Suppose -b*i = -5*i + h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 8*m**2 + 19*m - 11. Suppose 15*i + 140 = i. Let a be k(i). What is the units digit of 1\/(a\/(-35)) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6824 - 42*k**2 + 6824 to o*k**2 + t*k + y and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348945 is divided by 116307?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*i + 5*n, 3*n - 13 = -3*i + 14. Suppose -4*v = 3*c + 43, 3*v + 39 = v - i*c. Let q = -0.39 - -0.69. Sort q, -2\/11, v in increasing order.\nAnswer: v, -2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40862 is divided by 2031?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -403, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.032 + 0.298. Let v = -0.07 - l. Which is the third biggest value? (a) v (b) -4\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(475) - ((sqrt(475) - (sqrt(475)*-1 + sqrt(475))) + sqrt(475) + -2) - (sqrt(475) + -4*(sqrt(475) + -3 + sqrt(475)) + sqrt(475)))**2.\nAnswer: -500*sqrt(19) + 11977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2. Suppose 3 = -12*n + 9*n. Let j(g) = -16*g**2 - 10*g - 10. Let l(a) = -a**2 - a - 1. Let c(t) = n*j(t) + 10*l(t). What is x(c(q))?\nAnswer: -180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677263393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24 + 0)*(-2536)\/16*1. Suppose -2*c = g + q, -4*g - 5490 = 3*c + 9741. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**2 + 2*l + 1. Let f be v(-1). Let g = f + 12. Solve g - 11 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aam when three letters picked without replacement from amyuk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -229.3 and -298.\nAnswer: 68331.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*1)\/(-4*-2*sqrt(9)).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 31. Let z = -9 + 14. Let r(d) = -3*d - 46. Let w(o) = z*r(o) + 8*i(o). Let n be w(-15). Sort -3, -1, n.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r**2 - r**2)*(0 + 2 + 0)*(-2 - 2*r**3 + 2).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/5 - 1806*h**2 - 36104*h\/5 = 0.\nAnswer: -9026, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(103295 + 327*c**3 - 103295).\nAnswer: 654*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16766?\nAnswer: 2, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 292 = -3*z, -2*f + 20 = 3*f. Let j = z + -866\/9. Let d be 12\/(-55) - (-4)\/(-22). Put j, 0, d in descending order.\nAnswer: 0, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1665981540 to the nearest 100000.\nAnswer: -1666000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25\/19, 0.22, -0.5?\nAnswer: 25\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*0\/(2*-2). Suppose s = 5*g - 2*x - 33, g + 2*x = -g + 16. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30032233 - -11220030?\nAnswer: -12212203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 - 56. Let z = m - 154. Solve 9 = -3*h + z*j, -2*j + 2 + 0 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (1 - -2 - 0))\/(-345 + 348). Factor 4\/9*m - s - 1\/9*m**2.\nAnswer: -(m - 3)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*u - x, u - 2*x + 10 = 3*u. Let o be 3 + (-15)\/10 - 422\/u. Let j = 300 + o. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 + 146. Let d(m) = -11*m**2 - 6*m - 6. Let z(q) = -23*q**2 - 13*q - 13. What is c*z(a) - 13*d(a)?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726666 is divided by 20146.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*2\/8)\/(-1). Let i(z) = 1 + 0*z + 3 + z. What are the prime factors of i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*l + 341*l - 8 = 0, 0 = -2*t + 5*l + 11744. Is 34 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 35. Let h be v(20). What is the third derivative of -15*u**2 + 155*u**5 - 19*u**2 - 161*u**h wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 16\/(-4) + 9. Suppose -c*z = -0*z - 168. What is the lowest common multiple of z and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4778 and -153?\nAnswer: 731034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2 + ((-4)\/(-22) - (-17)\/(11220\/(-450)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 89*j + 210. Does 4 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 0*b**3 - 3*b**3 + (3*b + 3 - 2 + b)*(-2*b**2 + 2*b**2 + 4*b**2).\nAnswer: 14*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4 = -4*o + 20, -3*o + r - 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-7)\/((-28)\/12). Let c be (-145)\/20*-2*a. Let y = 50 - c. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 7\/154389, 62, -1 in decreasing order.\nAnswer: 62, 0.3, 7\/154389, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -3*y + 93. Let i be (3\/(-9))\/((-4)\/60). Suppose -4*f = 2*w - 64, f = i*w + 4*f - 146. Calculate the remainder when y is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6))\/(4*4\/24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (81\/2106)\/((-54)\/(-2592))\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a = 0. Let h(y) = 10*y**3 - 5*y**2 + 9*y - 6. Let q be h(4). Let d = -585 + q. Solve a = -4*i - d - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 602 + -598. Solve -20 = q*y, 2*y - 30 = -5*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(63)*1).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -5, -0.0315, 4 in descending order.\nAnswer: 4, -0.0315, -0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**3 + 125*x**2 - 885*x + 1395 = 0.\nAnswer: -31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 1 - 2*y**4 + 3*y**3 - 3*y**2 + 4*y**4 - 2*y in the form j + p*y**3 + v*y**4 + t*y + d*y**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310*11.69.\nAnswer: 3623.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -901853?\nAnswer: 450926.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14426 - -14433. Solve 0 = -f*q + 27 - 76 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -557*o*t**5 + o*t**2 + 99*o*t wrt t.\nAnswer: -33420*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 7*p - 4. Suppose 4*g + 24 = -0. Let l be x(g). Suppose l*s + 4*s - 12 = 0. Solve k = 5*n - 10, -3*k + 2*k = 3*n + s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 10) + 122 + -20 + 0 + 2\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1456*c**2 - 376*c**2 - 961*c**2.\nAnswer: -2793*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x, h + x - 3 = 4*x. What is the smallest common multiple of (-5)\/(-1) + 1 + h and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23634, 47103, 70590, 94095, 117618, 141159?\nAnswer: 164718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 10*v - 9*v + 102378, b + 5*v - 34142 = 0. Is 269 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -p + 5 + 18, 0 = 3*p - 2*a - 1. Solve -2*o + 25 = p*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.949 + -7.349. Which is the closest to u? (a) -0.2 (b) -4 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 21*t + 19. Let k be n(-20). Let a be (-3)\/(-1*(2 - k) - -2). Sort a, -9, 2, -4 in decreasing order.\nAnswer: a, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + 6*(sqrt(500) + sqrt(500) + 1) + (sqrt(500) + 3*sqrt(500) + -5 - sqrt(500)))**2 + -2.\nAnswer: -1200*sqrt(5) + 112511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j - 9. Suppose -j*q + 44 = q. What is the greatest common factor of q and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1015, -1021, -1033, -1051, -1075, -1105?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i + 2*v = 0, 2*v = -5*i + 14. Suppose -6*x = -i*x + 4*j, 4*x = 5*j. Solve x = -7*u + 9*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -267, 4, -3, -1\/3, -0.05?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -17662, 0, -1, 4, -0.5 in increasing order.\nAnswer: -17662, -1, -0.5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 61161 to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20.758107 and -8.\nAnswer: -28.758107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c**2 + 28*c**2 + 10*c**3 - 16*c**3 - 12*c**3.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0. Let j = -0.22 + 0.62. Let n = i - j. Sort 2, -4\/5, n in increasing order.\nAnswer: -4\/5, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*l + 136*l + 82*l - l**2 as n + o*l**2 + z*l and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75*m**3 - 79*m**3 - 45*m**3 + 194*m**3 + 272 + 200*m**2 wrt m.\nAnswer: -15*m**2 + 400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3\/6 + 15*k**2\/2 - 21*k + 157. Let d(q) be the first derivative of o(q). Let h(i) = i**2. Give h(d(t)).\nAnswer: t**2 - 30*t + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(12\/13)\/n*n**(24\/11)*n*(n*n**(-1\/5)\/n)\/(n*n**(-1\/44)*n) assuming n is positive.\nAnswer: n**(2653\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1\/3, 129, -0.1, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -2.192?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 873*q**5\/10 + 17*q**4\/4 - q**3\/3 + 1260*q. Find the third derivative of d(p) wrt p.\nAnswer: 10476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -252*o**2 - 108*o. Let r(c) = -36*c**2 - 15*c. Let d(z) = -5*f(z) + 36*r(z). Let b(g) = 2*g. Determine d(b(a)).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/7 - 2*v**2\/7.\nAnswer: v**2*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-66)\/(-4)*((-1224)\/(-54) + -12) is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 - 2*p**4 - p**4)*(-3 + 2*p + 3) + p**5 + 0*p**2 + p**2 + 7*p**2.\nAnswer: -11*p**5 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 7\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58081028?\nAnswer: 2, 61, 238037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 7*i**2 - 3*i**2 + i**2)*(2*i**2 + 2*i**2 - 6*i**2).\nAnswer: 18*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349, 81, -175, -413, -627, -811, -959, -1065?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 6:23 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/480 + 9*l**5\/80 - 5*l**4\/4 - 44*l**3\/3 + 2*l**2. Let y(a) be the first derivative of r(a). Factor y(j).\nAnswer: 3*(j - 2)*(j + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175b (base 12) in base 13?\nAnswer: -137c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -48 - 37. Let g = y - -25. Suppose -g*n + 6*n + 204 = 0. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/9, -1\/3, -4\/69407?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224*469\/(-2144))\/(-1*4\/(-4)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/27, -9, -2, -2\/9, 0.107?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 at most as big as -226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684443717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1 = 2*o, -2*o + 5*a + 12 = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 32. What is t(12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*1)\/((-9)\/(-3)). Let n = 0.02 + 1.98. Let q be 3\/14*(-8)\/(-6). What is the nearest to q in n, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 800*n**2 - 7915*n - 149. Give s(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.16, -3, 0.1, 24?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133\/5 + 131\/5. What is the fourth biggest value in 2, i, -3, -0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + sqrt(7)*4 - (sqrt(7) + ((sqrt(7) - (sqrt(7) - sqrt(175)))*2 - sqrt(7))**2).\nAnswer: -568 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 125856843925 and -9657.\nAnswer: 125856834268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1937609477 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u**2 - 4*u - 4. Let o be q(-4). Let z be (-22)\/o + 1\/(-2). Solve 3*n + z*s = -4 - 0, 5*s + 12 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6671 = 5*g + 2116. Let f = g - 348. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 389*j + 337*j + 12*j**2 - 13*j**2 as i + a*j + g*j**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -761 (base 9) to base 4\nAnswer: -21232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-8 - -37 - (6 - 1 - -2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 13*w + 10. Let z be m(12). List the prime factors of 1\/z + 217\/14.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/7141 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8138 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*c + 88 = 259*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 115 = 6*u. Sort u, -2, 2 in decreasing order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589880017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 707, 1478, 2557, 3944, 5639?\nAnswer: 7642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1691 - 1691. Sort 202, b, 2, 4, 1 in descending order.\nAnswer: 202, 4, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*s - 66 = 0, 2*m + s - 27 = 4*s. Calculate the smallest common multiple of 9 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 13*u**2 + 11*u - 70 - u**3 + 79 + 8*u**2 to c*u + l*u**2 + q*u**3 + t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1476?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2833 and -185.43.\nAnswer: -525323.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -73. Suppose -4*k = a, 7*s = 12*s - 3*k - 7166. Suppose -45 = -d + s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 3, h: 1, o: 4, s: 1, u: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.78*2.\nAnswer: 33.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -186?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29047\/5 - -5789. Is -19 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pooopuoepccpupcpo. What is prob of picking 1 e, 1 o, and 2 p?\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8313 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 y(s) = 7*s + 3. Let r(g) = -34*g - 141. Calculate -r(l) - 6*y(l).\nAnswer: -8*l + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + 0 - 1 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 6 + (-7 - -35) + 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4806753, -4806759, -4806767, -4806777, -4806789, -4806803, -4806819?\n\"Answer: -z**2 - 3*z - 4806749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 124*j**2 + 427*j - 202. Determine q(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4040021 (base 6) to base 12.\nAnswer: 93011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3*c + 3. Let i be m(3). Suppose 0*k + i = k. Let b = 16 + k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 6*h**2 + 2*h - 1. Let x be m(4). Let s = 42 - x. Differentiate 3*n**s + 163*n**2 - 163*n**2 + 2 wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5893*r = -185675 - 189715 - 241922 + 134086 for r.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -189274, -188368, -187450, -186514, -185554, -184564?\n\"Answer: p**3 + 899*p - 190174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0195189402 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 440?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 19*o + 24. Let m(a) = -a**3 - 4*a**2 - 4*a - 4. Let n(t) = t**3 + 4*t**2 + 5*t + 5. Let d(x) = o*n(x) + 6*m(x). What is d(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2484, -0.4 in descending order.\nAnswer: -1\/5, -0.4, -2484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13317573851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**4 + 13296*s**3 + 2*s**2 - 148635.\nAnswer: 12*s**3 + 39888*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - 0)*(-78)\/4 is divided by (44\/(-7))\/((-16)\/56).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from xxllillxlxxxxxxlxx?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 3*p + 5688659908*p**2 + 3*p - 4*p - 5688659896*p**2.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 4:17 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 15 + 30 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 513*p**3 + 4*p - 10. Let q(z) = -517*z**3 - 3*z + 8. What is 3*k(f) + 4*q(f)?\nAnswer: -529*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.06 + 6.6. Let u = i - -3.56. Let z = u + -4. Which is the closest to 2\/9? (a) z (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502.659*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 6, 1, 2, -5 in ascending order.\nAnswer: -22, -5, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00320492992 to 7 decimal places.\nAnswer: 0.0032049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f. Let t be (-1)\/(-2)*(-4 - 0). Is b(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, 0, 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 - 1. Let n be m(-1). Suppose -3*d + 3 = -n*d. Suppose 3*a + 17 = v, v + 5*a - 3*a + d = 0. Solve 0 = g - 2*g - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 11*y + 14. Let z(v) = -v**3 - 16*v**2 - 2*v + 26. What is the remainder when z(-16) is divided by q(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 11:57 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 138144228074 + -8.4\nAnswer: 138144228065.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 2*l = 4*f + 81, l = f - 12. Suppose -3*q - 39 = f. Let v = q + 23. What is the smallest value in v, -2\/5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 774933 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1091, 4, -2, -1\/4, 2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89456, -177047, -264624, -352181, -439712?\nAnswer: -527211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 82*m**3 + 4*m**2 - 16*m. Let w be v(-8). Round w to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*x - 40, -2*x + 0*h = -4*h + 10. Suppose x*b = -0*b + 855. Suppose -577 = -2*c - b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2966.13 litres to millilitres.\nAnswer: 2966130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 15*c + 6. Let j be d(-15). Suppose -8*v = -j*v - 6. What is the smallest common multiple of 6\/(9\/12*1) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)*j)\/j**3*(j**(-1\/3)\/j)**(-7\/5))**(2\/27) assuming j is positive.\nAnswer: j**(-94\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 + 124 + 107)*(h - 2*h + 2*h).\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 220. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225753493.\nAnswer: 7, 4253, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let b(t) be the first derivative of 6*t**2 - 1. What is b(k(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29140, 329, -3 in descending order.\nAnswer: 329, -3, -29140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-26))\/23*4\/2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 5}. Give prob of sequence eeu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -e80?\nAnswer: -e7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402 + 122 + 94 + 95 - 310*r**2 + 91.\nAnswer: -310*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 1, r: 1, f: 2}. Give prob of picking 1 d and 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 5. Let r be ((-3)\/1)\/((54\/8)\/(-9)). Let a be x(r). Which is smaller: a or 3\/98?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2988 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 0*d + 7\/8*d**4 + 7\/2*d**2 + 4 + 7\/20*d**5 + d**3 + 1\/20*d**6. Let s(l) be the second derivative of z(l). Factor s(w).\nAnswer: 3*(w + 1)*(w + 2)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 626 divided by 345.\nAnswer: 626\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-21))\/(-3*(-22)\/(-231)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2942, -2933, -2924, -2921, -2930?\n\"Answer: -u**3 + 6*u**2 - 2*u - 2945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 17. Suppose -1 = d*o - 13. Suppose o*p = -0*p + 44. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:47 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -29*z**3 - 5*z**2 + z + 4. Give l(-2).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - 0 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3*t - 485*m**3 + 7*m*t**3 - 2*t**3 - t**2 - 1000 wrt m.\nAnswer: 6*m**2*t - 1455*m**2 + 7*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 239 and 1395760?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56196, -113383, -170566, -227745, -284920?\n\"Answer: 2*t**2 - 57193*t + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19279, 19218, 19153, 19084, 19011, 18934?\nAnswer: 18853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:01 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7.1, 10 in increasing order.\nAnswer: -7.1, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4447*t**3 + 26*t**2 + 2*t - 119623531?\nAnswer: -13341*t**2 + 52*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 5*m**2 - 4*m**2 - 2 + 2*m. Suppose g = -2*k - 3 - 3, -k = -5*g - 8. Let t be x(g). Solve -2*o - 15 = t*z - 5*o, -4*o + 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:21 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13ca (base 16) to base 3.\nAnswer: -20221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 802*s**2 + 2. Let a be m(-7). Is 1\/(23680\/a + (-6)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 - 3*s**2 + 14*s + 1127. Let y(m) = -13*m**3 + 10*m**2 - 46*m - 3380. Determine 10*x(q) + 3*y(q).\nAnswer: q**3 + 2*q + 1130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3995547496.38654 - 3995290914. Let b = p + -256940.39. Let k = b + 358. Round k to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*l - 17. Solve 0 = 2*i + 3*v + 9, -4 = l*i + 2*v + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 15. Let r be f(-19). Suppose -564 = -0*y - r*y. Suppose 0 = z - y + 49. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(405) + sqrt(5) - (sqrt(320) + ((-1 + sqrt(320))**2 - sqrt(320) - sqrt(320))).\nAnswer: -318 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -132683.8 * 3.1\nAnswer: -411319.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 168 = -15*g. Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -11. Let n = 7957\/4 - 8665181\/4356. Let k = 2152\/14157 - n. Which is the third biggest value? (a) 23 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27554614 (base 8) to base 6.\nAnswer: -341122044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 3*m. Let t be o(4). Is t less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6180 - -6207. Suppose 121 = 5*p - 14. Calculate the greatest common divisor of p and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.9 + -23.9. Put 0.4, o, 5, 2 in descending order.\nAnswer: o, 5, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -81. What are the prime factors of 328\/k*24\/(-32)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548028 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33356104 to three dps.\nAnswer: 0.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610.9 rounded to the nearest ten?\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2607*k**2 + 9*k**4 - 9*k**3 + 17 + 2607*k**2 - 3*k**4 to the form i*k + f + h*k**3 + u*k**2 + j*k**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (724*l - 10 - 717*l - 1)*(-6*l**2 - 13 + 10 + 16*l**2).\nAnswer: 70*l**3 - 110*l**2 - 21*l + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 309 = 9129. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 278 - 259. Let a(o) = -6*o**3 + o**2 - 8*o + 21. Let d be a(-5). Calculate the greatest common divisor of u and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {q: 2, r: 2, n: 3, m: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11587972 and 7374164.\nAnswer: 81115804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 287200156 to the power of 1\/3, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -24 + (-47 - -61)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6185, -6226, -6301, -6416, -6577, -6790, -7061, -7396?\nAnswer: -7801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0*z - 5*z**2 + 0*z. Let p(f) be the second derivative of -f**4\/6 - 2*f - 40. Give l(p(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:08 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1015 - -875. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0.5, 9\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 118\/(-8) - (-9)\/(-36). Is 26 a factor of -87*5\/f - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-5 - -1) + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 165. Suppose -4*t = -5*c - 76, 4*c - 2*c + t = -n. Is (-4)\/(c\/(-50))*-2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/165 and -62\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, m: 2}. Give prob of picking 4 b.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, p: 1, g: 3, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, 56, 279, 706, 1403, 2436, 3871?\nAnswer: 5774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 y when three letters picked without replacement from yggyccgigngccgt.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 14*h**2 + 14*h + 3. Calculate q(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 314*y**3 - 311*y**3 - 1.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/7 - 104*f**3\/7 + 1244*f**2\/7 + 2808*f\/7 + 1458\/7 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107773 is divided by 413?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 240\/(-32)*((-14)\/5 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let u(v) = -7*v - 41. Let j(g) = g + 7. Let i(z) = 6*j(z) + u(z). Calculate -2*i(d) + t(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 - 321*v + 134 - 1348*v - 267 in the form h*v + j and give h.\nAnswer: -1669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 163397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**2\/4 - 205575*m\/2 - 205580 = 0.\nAnswer: -2, 82232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*p**2 - 1852*p**3 + 1863*p**3 - 367*p**2.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 30. Let t = k - 3. Solve -t = 5*p - 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j + 39*j**2 - 8*j - 3 - 28*j**2 - 3. Let b(u) = u**2 - u - 1. Let d(s) = -5*b(s) + v(s). Let q = -38 - -39. Calculate d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-21 - -14 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 8:33 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2665 is divided by 107.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 + 23*q - 90. Let h be z(4). Factor -2\/5*g + 2\/5*g**h + 8\/5*g**5 + 22\/5*g**4 + 18\/5*g**3 + 0.\nAnswer: 2*g*(g + 1)**3*(4*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7327.76 to the nearest ten.\nAnswer: -7330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62.94572 and -0.4.\nAnswer: -63.34572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173875*v - 4*v**2 + 9*v**2 - 173875*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61.6 + -57.03. Let v = i - -0.43. Let h = 0.4 + -4.4. Which is the nearest to -1? (a) v (b) 2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let y = 2 + x. Let h(u) = u + 4. Let t be h(-3). Which is bigger: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-31)\/54 + 5 + 1\/(-1)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 26*q + 15. Let u be h(-26). Let o = 67 + -68. Is 5 a factor of u\/(3\/o) - -29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199937 is divided by 15189.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137146536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -12. Let m(a) = 6*a**3 - 22*a**2 + 4*a - 7*a**3 + 17*a**2 - 3. Determine m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-162))\/(-5))\/((-1)\/(-3))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1307? (a) -0.5 (b) -5 (c) -420\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Suppose 3*n + 6 = -12. Suppose -i + 2 - 10 = -p, -3*i - 33 = -4*p. Let r(s) = -p + 9 - 3*s + 0*s. Give n*r(d) - 17*q(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 j when three letters picked without replacement from hhhjhhhjhjhjjjjjhhj.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*x - 23 = 0, -q - 4*x + 8 = -2*x. Put 0, -1, q in increasing order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Suppose -3*d = -s*t + 2076, 1653 = t + 3*t - 5*d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86546 is divided by 4121.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 2*n - 9\/2*n**2 - 5\/3*n**3 + 0. What is the derivative of p(h) wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*v - 44*g + 41*g, 46 = -2*v + 5*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.262 and -0.089.\nAnswer: 0.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 436*q - 34255. What is m(68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.064*0.03.\nAnswer: 0.03192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 8 - 2\/1. Let s = -3301 + 3301. Which is the nearest to s? (a) y (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*y + 322*y = 656. Calculate the remainder when 77 is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3101 + -24751\/8. Find the common denominator of -62\/5 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 20*t = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -978*p**2 - 48*p + 5. Calculate z(-1).\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from {l: 1, f: 1, v: 2, b: 1, d: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.81 - 0.19. Let r = 15 - s. Let p = r - 16.8. Which is bigger: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1557 and 3633?\nAnswer: 10899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -214*g**2 + 1. Let d(w) = w + 16. Calculate p(d(k)).\nAnswer: -214*k**2 - 6848*k - 54783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 + 7*z. Let x(i) = -7*i**2 - 8*i. Let a(b) = 5*v(b) + 4*x(b). What is the second derivative of a(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 3*q)*(-530 + 16*q + 530)*(-q - 7 + 7) - 2*q**3 + 0*q**2 + 5*q**2 + 3 - 3*q**2.\nAnswer: 14*q**3 + 2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + 2*sqrt(252))**2.\nAnswer: -216*sqrt(7) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4002 (base 5) to base 6.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455 (base 14) to base 11.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + ((sqrt(378)*-2)\/sqrt(6) - (1 + sqrt(1575))))**2 + 0)*4.\nAnswer: -672*sqrt(7) + 12412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j + 11637. Let r(t) = 2*t**2 + 10. Give r(l(x)).\nAnswer: 32*x**2 + 186192*x + 270839548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -12910065.\nAnswer: 4\/12910065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 4*q + 2. Let z be k(-2). Factor -z*p**2 + 0*p - 2\/3*p**3 + 8\/3.\nAnswer: -2*(p - 1)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from {x: 7, a: 4, o: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 882260902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -10)\/(1\/17). Let q = 21 + k. Solve 3*m = q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.9 + 6. Let b be ((-3)\/(-7))\/(260\/(-100) - 4\/10). What is the nearest to d in -1.1, -2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 + -184.5. What is the smallest value in b, 5, -0.044?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 673*k - 452929\/2.\nAnswer: -(k - 673)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - t = 6*j - 3118, 3*j - t - 2335 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297 times -16\nAnswer: -4752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 362101 = 72611. Let s = -74544 - k. Let c = -409640 - s. What is c rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -27*m**2 + 1. Let g(p) = 101200*p. Calculate t(g(s)).\nAnswer: -276518880000*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - f - 797 + 738 + 3213.\nAnswer: 6*f + 3154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3284520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -53, 50.\nAnswer: -53, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 358*y**2 - 2584*y - 3720.\nAnswer: 2*(y - 186)*(y + 2)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5976388 is divided by 58?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 44, 46, 150, 0, -3 in decreasing order.\nAnswer: 150, 46, 44, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 794, 1726, 2656, 3584, 4510, 5434?\nAnswer: 6356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 less than 6759?\nAnswer: 6756.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 218\nAnswer: 43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -7) + -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73318?\nAnswer: 2, 7, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -6. Let d(y) = y**3 + 9*y**2 - 2. Let r be d(o). Let i be r*3*(-2)\/(-834). Is i equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5974530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331486*z**4 + z**2 - 24543.\nAnswer: -7955664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -798.9 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027061193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - 2*131\/(-2). What is the highest common divisor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((2000\/(-72))\/(-25))\/((-165)\/198))\/((-4)\/(-30)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 54*s**2 + 2*s - 1. Let k be i(1). What is the highest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/864*63*3\/7.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648266646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000032936 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 + 70848*q - 496132 = 0?\nAnswer: -17719, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -9. What is the second derivative of -3*l + 5*l**2 - 8*l**2 - d*l**2 wrt l?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21905064 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: Suppose 4*d + 4 = 4*k, -2*d + 0 = -5*k + 8. Let l be -2 - (-1 - 9*k). Let j = l - 9. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*c**2 + 2)*(c**2 + 0*c**2 + 0*c**2) - 2*c**4 + 0*c**3 + 0*c**3 - 2*c**2 - 4*c**4 + 6*c**4 + 0*c**4.\nAnswer: -2*c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1662326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 44, 40, 16?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 1.3. Let a = n - -0.9. Sort a, 1\/3, -9.\nAnswer: -9, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16290, 16292, 16272, 16218, 16118, 15960, 15732?\n\"Answer: -2*h**3 + h**2 + 13*h + 16278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(108\/(-12)*4\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*g - 54*g = 186732 + 269084. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1675, -3340, -5031, -6754, -8515?\nAnswer: -10320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24372.69 - -24491. What is f rounded to zero dps?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 0, -3, 2 in ascending order.\nAnswer: -25, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*(sqrt(363)*2 + sqrt(3)) + sqrt(24)\/(6*(sqrt(32)\/sqrt(4) + sqrt(8))))*-4)**2.\nAnswer: 611618\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 4 + 4 + (176 - 340 + 308)*(2*r**2 - 2*r + 2*r) + 2*r**2 + 0*r**2 - r**2 to b*r + t*r**2 + l and give t.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -23960623\nAnswer: -23960611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9875308?\nAnswer: 2, 1481, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16461 - 1?\nAnswer: 16460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/60 + 3*m**5\/20 + 3*m**2. Find the third derivative of b(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9 (b) -3\/2 (c) 0 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*6\/(270\/(-3))*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11ab3 (base 16) in base 10?\nAnswer: -72371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((36\/(-16))\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/198 and -119\/5874.\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4\/8)\/(11\/(-22)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.573 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 + 3*n**2 + 4*n - 3. Let m(p) = -2*p**3 + 3*p**2 + 3*p - 3. Calculate 4*m(f) - 3*o(f).\nAnswer: f**3 + 3*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11435\/18 - 14231\/9. Let h = c + 2170. What is the common denominator of 61\/8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8305046 is divided by 4152463.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v + v + 2*v)*(-3*v - v + 3*v) + 26*v**2 - 11*v**2 - 12*v**2)*(-21 - 2 - 3)*(-5 + 3 + 3).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -15 + 10 - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) -1\/6 (c) 0.06 (d) -0.9 (e) 4 (f) 2783\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13094574 or -5?\nAnswer: -13094574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 29. Let m(w) = -13*w**3 + 15*w**2 - 4. Let s(b) = -7*b**3 + 8*b**2 - 2. Let n(x) = j*m(x) + 11*s(x). What is n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48480*w**4 + 1187*w**3 - 345717362*w**2.\nAnswer: -1163520*w + 7122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23*x + 4. Let o(v) = 23*v + 3. Determine 3*o(n) - 2*q(n).\nAnswer: 23*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*a**6*q - 1288838*a**4*q**2 - 11*a**2 + 327418*a*q**2 - 2*a*q - 2*q**2 + 2*q wrt a.\nAnswer: 2040*a**3*q - 30932112*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9119 + -9130.8404. Round m to 1 dp.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302727 divided by 12?\nAnswer: 1302727\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 2*w + 3. Suppose 0 = -p - 11*p. Let q be a(p). Find the common denominator of -16\/5 and 70\/25 + q\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1842036*r**3 - 1842013*r**3 + 3684033*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 0*i**3 - i**3 + (-2 + 4*i**2 + 2)*(3*i - 2*i + i) + (-3*i + 2*i - i)*(1 - 1 - 3*i**2).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -346839, -345361, -343883, -342405, -340927, -339449?\n\"Answer: 1478*y - 348317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37166721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7 + -19501339.76.\nAnswer: -19501342.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*p - 8, -p - p = -4*w + 8. Suppose w*y - 273 = -y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 913651 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j + 12. Let t be c(3). Calculate the highest common factor of 42 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -214*w + 212*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55056 and 61008.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -519, -496, -473?\n\"Answer: 23*c - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 (base 3) in base 7?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 705*a**2 - 37758*a - 299880 = 0. Calculate a.\nAnswer: -7, 102, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635 - 1734 = -23*m. Suppose 0 = 2*t + 4*w - 70, -t + 16 = -5*w - 47. Let k = m + t. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 474631.2 - 474687.19954. Let b = 55.11 + 0.89. Let z = b + r. What is z rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 602003116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*h - 11*h + 4*h**2 - 5*h - 26*h as x + z*h + d*h**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/((-12831)\/1927))\/(2*(-3)\/(-42))*1\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Suppose -520 = -48*k + 344. Suppose 0 = 2*d - 3*v - 12, 12 = 2*d + v - 0*v. Solve -l*u + d = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 1\/5*s**5 + 239 + 0*s**3 - 7*s**2 + 12*s - 21*s**4. Find the second derivative of o(n) wrt n.\nAnswer: 12*n**2 - 504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 673 = 77. Let u = 89 - r. List the prime factors of ((-42)\/10)\/((-116)\/u - 2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*r + 178 = 0, -a + 5*r + 24 = -0*a. Suppose -a + 4 = -2*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15012 and 24.\nAnswer: 30024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-243)*(-9)\/15\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 divided by -10?\nAnswer: 193\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/12)\/(3\/36). Suppose s = -c*s + 350. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/96 and -85\/49512.\nAnswer: 198048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25420173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-104)\/((-469040)\/246).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -447, -967, -1683, -2589, -3679?\nAnswer: -4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 2*c + 1. Let q(o) = 4*o**3 - 15*o**2 - 9*o + 17. Let a(m) = q(m) - 5*z(m). Is 6 a factor of a(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -23*q + 9*q. Solve 0*w - q = w + 4*m, 5*m = -3*w - 34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h + 36. Let o be u(-3). Let s = -20 + o. Calculate the smallest common multiple of (-1 - (-4 + 1))\/(s\/(-80)) and 11.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 28*a**3 - a + 11. Let y(h) = 169*h**3 - 6*h + 77. Give 13*t(j) - 2*y(j).\nAnswer: 26*j**3 - j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 781 + -821.9. Let w = q + 40.899681. What is w rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -4699643?\nAnswer: 9399286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4585137409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**5\/120 + s**4\/24 - s**2\/3 + 5*s. Factor q(h).\nAnswer: (h - 1)*(h + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 2. Let h be o(7). Suppose 4*p + 36 = -6*s + 3*s, 0 = p. Is 8\/5 + s\/h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 - 3266*c\/7 + 217216\/7.\nAnswer: -2*(c - 64)*(c + 1697)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-187)*(-1428)\/(-42).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 - 257.363. Round b to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3334 + -3336.073. Let g = -8.666 + 8.739. Let u = p + g. What is the smallest value in -5, 1\/6, 1, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 + 60\/(-27). Let q(w) = w**3 - 7*w**2 - 53*w + 316. Let r be q(9). Let v(p) = p - 1. Let h(k) = 4*k - 4. What is o*v(j) + r*h(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 621\/(-21) + 15\/(-35). Let i be (9 + 1)*(-4)\/k. Sort i, -4, 1\/4.\nAnswer: -4, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**5\/120 - t**4\/8 - 4*t**3\/3 - 3. Let v(r) be the third derivative of d(r). Give v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 20*j - 28 = -2*u, -4*j + 4*u - 20 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v + 5 = 0. Calculate the common denominator of 17\/2 and (321\/54)\/(v\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-644)\/(-14))\/736*(-2)\/4)\/1.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1324087160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 736 and 640?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190521?\nAnswer: 3, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**3 - 28*k**2 + 28*k - 33. Let l(p) = -4*p**3 - 14*p**2 + 14*p - 16. Let t(j) = 5*l(j) - 3*x(j). What is t(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133028 smaller than -133029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/5 - 292*x\/5 - 4284\/5 = 0. What is x?\nAnswer: -14, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.7, -1\/79, 2, -4.\nAnswer: -4, -1\/5, -1\/79, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3449814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1928 - 788. Let o = -366 + l. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29\/2 + 5\/10. Suppose -4*i - 3*p + t = 0, p - 4 = -5*i + 23. Let y(c) = 8*c + 7. Let x(v) = -7*v - 6. Calculate i*x(w) + 5*y(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 7*o + 6 + 6. Let c be t(-3). Let h(a) = -5*a - 2. Let x(d) = 6*d + 3. Let f = 1 - -1. Calculate c*h(j) + f*x(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(176))*3 + 5*(sqrt(88)\/sqrt(8) + -2 - sqrt(11)))*-4)**2.\nAnswer: -384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -d - 8, -34*d - 7 = -a - 35*d. Sort a, 0.3, -6\/11, 4 in decreasing order.\nAnswer: 4, a, 0.3, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 21*i + 350. Let g be s(11). Which is the nearest to -4? (a) -5 (b) g (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99035519.\nAnswer: 11, 137, 65717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 109 + 320 - 104 + 4*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 1.73 (c) 0.2 (d) -0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*f**2*g**3 + 2*f**2*g + 7*f*g**3 + f*g**2 + 147 wrt g.\nAnswer: 90*f**2 + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**2 - 4*h. Let q be p(0). Let k = -1.39 + -0.61. What is the second smallest value in k, q, -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8310*s - 8313*s + 1880 = -16576*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12203044 (base 5) to base 8.\nAnswer: -342470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1217.539467+-430\nAnswer: -1647.539467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 5 (c) -0.2 (d) 69.2 (e) -0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 20*x**2 + 43*x + 4. Give i(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150131986*q**4 - 1300*q**2 + 136631?\nAnswer: 3603167664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4694729, -4694735, -4694739, -4694741, -4694741, -4694739?\n\"Answer: g**2 - 9*g - 4694721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 156, 1, -5, 2, -156 in decreasing order.\nAnswer: 156, 2, 1, -1, -5, -6, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 8. Let b be 28\/f + 1 + -4. What is the closest to 0 in b, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20548 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1037173.75.\nAnswer: 103717.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3020227 divided by 163.\nAnswer: -18529","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 28\/(-12))*3. Suppose y*o = 7*o + 4*d - 28, -3*d = 2*o - 14. Suppose o*i - 35 - 1 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11088 by 14.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -132. Let g be (-32)\/(-18) - 10\/a. Let c(n) = 6*n**2 - 26 + 26 + 6*n**g. Let p(s) = 2*s. Determine c(p(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33*((-6)\/(-3) - 3). What are the prime factors of (w\/15)\/(2\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(2*(1*sqrt(12) + sqrt(12))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18508695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 4:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from mfmmfafffamaffffffaf.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 583*z**2 + 3*z - 6. Let t be 4\/18 - (-208)\/36. Let d be g(t). What is d rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*m + 4*h + 4, 999*m + 21 = 1010*m + 5*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 3:53 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, b: 10}. What is prob of picking 1 b and 1 u?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 3812270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5367 + -2.4367. What is the third smallest value in 9.9, -0.5, -0.4, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqj when three letters picked without replacement from qqjjddjd?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 37 + 5 = 0. Suppose -3*k + 24 = -p*k. Put -1, k, -3 in ascending order.\nAnswer: k, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5072672 and 3872?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 13) in base 14?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 2 + 0 + 4 - 5 + 7*d**2. Suppose -5*u - 5 = -0*u. Let t(b) = -b. Let w be t(u). Calculate h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2622*z + 97013. What is x(-37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 57 = -213. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176567 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5600 - -5602. Which is the closest to 0? (a) -6 (b) -0.5 (c) j (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3059*p**3 + 3007*p**3 - 6004*p**3.\nAnswer: 62*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*j - 12*j**2 - 127*j + j**3 + 326*j wrt j.\nAnswer: 6*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 + 1044*y\/7 - 39997\/7.\nAnswer: (y - 37)*(y + 1081)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17205880 - -258510371\/15. Let m = -460963\/20 + s. Let n = m - 5086. What is the common denominator of 127\/6 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/5 - 188*w\/5 - 192\/5.\nAnswer: 4*(w - 48)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 19*u**2 + 9*u - 6. What is q(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -40186.\nAnswer: 80372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*1)\/(30\/(-8)*(-4654)\/895)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -353 + 53. Let i = 62 + t. Suppose -2*k - 3*k + i*d = -141, 0 = -5*k + 4*d + 147. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g - 4 + 0 + 3 - 6. Is z(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 2 + 0 - (-2120)\/(-140)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3 and 27\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -13*j + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/168 and -83\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -608, -2052, -4864, -9500?\nAnswer: -16416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = 20. Let j(r) be the third derivative of 0*r**4 + 0*r + 1\/15*r**i - 1\/56*r**8 - 4\/105*r**7 + 0*r**3 + 0 + 1\/60*r**6 - r**2. Factor j(a).\nAnswer: -2*a**2*(a + 1)**2*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/77 and -16\/3367581.\nAnswer: 37043391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.14382 litres?\nAnswer: 57143.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16110 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14701 or -14697?\nAnswer: -14697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.545 + 57.155. Let g = s - 57. Which is smaller: 2\/3 or g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38212182 less than 238?\nAnswer: -38211944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from nnnsnsssssns.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*s**4 - 4 - 3*s + (0*s**3 - s**3 + 2*s**3)*(s - 4*s - 4*s) to the form b*s + f*s**4 + n*s**3 + u*s**2 + c and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5475.1 - 5475. What is the nearest to 0.02 in 1.7, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134.9 - 135. What is the third smallest value in 1\/3, 3\/5, s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u + 4. Find the third derivative of -5*l**4 + 5*l**u + 4*l**4 + 3*l**4 + l**4 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59006942297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:39 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60646 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -488*d**3 - d**2. Is w(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 - (3 - (-1 - 0))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -1.99. Which is the nearest to 1? (a) 0.3 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5445457 - 65398469\/12. Let o = -4422 - g. Find the common denominator of -29\/12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-1 + (-15)\/(-12))*4. Let m(h) = -h**2 - 6*h + 19. Let q be m(-7). Solve 2*c = -2*c + 5*i + 16, -x*c = -4*i - q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45044 is divided by 3213?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6559 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 249. Let a(p) = -41*p**2 + 40*p**2 + 0*p**2. Calculate v(a(d)).\nAnswer: -2*d**4 - 249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19990460*x**2 + 31042415 wrt x.\nAnswer: 39980920*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157680 and 37230?\nAnswer: 2680560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1536304*n**6 + n**3 + 91025800*n**2 wrt n?\nAnswer: 184356480*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*k + 5*s, 4*k - 2*s = 2*k + 14. Suppose 41*h - 43*h = -k. Solve -4 = h*n - 2*j + 12, 5*n + 3*j - 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 992, 4046, 9148, 16298, 25496, 36742?\n\"Answer: 1024*a**2 - 18*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k + 4. Let f(m) = 172*m**3 - 270*m**3 + 96*m**3 + m - 5. Let x = 1 + -3. What is x*f(t) - 3*a(t)?\nAnswer: t**3 + 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1288, 1338, 1388, 1438, 1488?\n\"Answer: 50*q + 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/17987855?\nAnswer: 2\/17987855","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8395804 and 1422?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -87903255 divided by 17580651\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(208) + 3*sqrt(13)*2.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - 310\/(-34) - 7771\/17. Let f = d + 11422\/25. Is f < 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -2, 14, -1 in ascending order.\nAnswer: -2, -1, 14, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12224 divided by 2.\nAnswer: 6112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from tattatttta.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) -1\/2 (c) 1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 559 in -0.5, -1\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 1, -3, 4, 44, -186 in ascending order.\nAnswer: -186, -73, -3, 1, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**3\/7 + 202*c**2\/21 - 44*c\/21.\nAnswer: -2*c*(c - 11)*(9*c - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-16) + 45\/12 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571409 to the power of 1\/2, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 8965 + 8965.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001001010001100000 (base 2) in base 8?\nAnswer: 4112140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - y**2 + 3 - 17*y**4 + 3538*y - 3536*y in the form s*y**4 + p*y + w + i*y**2 + t*y**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 + 4*k**2 + 6*k + 1. Let q(u) = u**3 + u. Let r(l) = 2*q(l) - s(l). Determine r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185\/7 + 27\/(-63) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**4\/24 - d**3\/6 + 31*d**2. Let j(l) = 10*l + 65. Let v(a) = j(a) + k(a). List the prime factors of v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1293325?\nAnswer: 129332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0 + 7\/2*w**2 + 1\/3*w**3 - 1\/12*w**4 + 16*w. Suppose 0*k = 3*k - 15. Let t(s) = -s - 3. Determine k*t(z) + 2*c(z).\nAnswer: -2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**5 - j**4\/2 + 4*j**3 + 6*j - 122. Find the third derivative of a(o) wrt o.\nAnswer: -120*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7785.69 times 7?\nAnswer: -54499.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 minus -200?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 760, 1705, 3028, 4729, 6808?\nAnswer: 9265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1583547 (base 12) in base 7?\nAnswer: -52262536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24302945750711537 + 24302947265622176.9999757. Let p = -1514911031 + n. Let z = 391 + p. Round z to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -12121001122012?\nAnswer: 12121001122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) + 38\/448. Let h = u - -1\/96. Which is the closest to -1? (a) h (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47265?\nAnswer: 3, 5, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**7\/840 + u**6\/120 - u**5\/30 - u**3\/3 - 16*u**2. Let o(d) be the first derivative of y(d). Factor o(v).\nAnswer: v*(v - 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -5 + 0*n - 1\/2*n**2 + n**3. What is the second derivative of v(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(200).\nAnswer: -2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hawh when four letters picked without replacement from dhadaaywaddaaahdahyw.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.46 and -106000.\nAnswer: 260760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 596\/767751 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31582881 is divided by 254?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2546 (base 9) to base 8\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 9 - 1) + -4 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -42*r**3 + r + 1. Let w be v(-1). Let d be -36*3\/(-9) - 2\/(-1). Calculate the greatest common factor of w and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -127, 766, 2\/3, 75\/4?\nAnswer: 766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2169 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 0.5, -42106, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9 (base 16) in base 9?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 27. Suppose 3*q - c*q - 2 = 0. Is 6*q\/(-3) + 303 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 105383281?\nAnswer: 229, 460189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -18592900 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0.25, -1, -3.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(4\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2822, 5, 0.06, 0.4, 0.2, -1\/5 in decreasing order.\nAnswer: 2822, 5, 0.4, 0.2, 0.06, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1134?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 2 = b - 2*r, 3*r = 4*b + 3. Suppose -b = -2*f + f. Suppose -f*j + 33 - 7 = -4*o, 3*j + 5*o = 8. Calculate the highest common divisor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67223 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.48 + -5.48. Let r = -3.12 + 0.12. Which is the nearest to -6? (a) 4\/9 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12727, 1, 11, -5, 3 in decreasing order.\nAnswer: 11, 3, 1, -5, -12727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2706 = 2*f + 1670 - 3478. What is the greatest common divisor of f and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 2*h - 5*h)*(-h**3 + 2*h - 2*h) - 3*h**4 - 18*h**3 + 2 + 2*h**2 + 14*h**3 + 5*h**4 to the form g*h**2 + t*h + s + y*h**4 + a*h**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 786, 784, 782, 780, 778?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47960 and 80685506?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (37 - (-2 - (5 + -12 + -4))) - 8.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/13 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s - 33. Let h(x) = 9*x + 65. Determine f(h(t)).\nAnswer: 63*t + 422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 5*q**2 - 2*q. Suppose -2*r + 3 = -3. Let w be d(r). What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (925 - 464 - 456)*(4 - 3 + 0)*(5*j - 5*j + 5*j) to the form g*j + i and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*b - 3*h, 2*b - 3*h - 5 = 2*h. Let m be (4\/(160\/56))\/((-2)\/(-10)). Let g(r) = -25 + 50 + m*r - 27. Let x(d) = -4*d + 1. Calculate b*x(t) - 3*g(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 17366658673.\nAnswer: 17366658677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4265638 - -16619247\/4. Let d = 15958129\/144 + n. Let v = 71\/36 + d. Find the common denominator of -101\/60 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11317 * 46733\nAnswer: 528877361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249 - -253. Suppose 0 = i - 6 + 7, n*i - 4 = -a. Solve 4*p + 4*q - 16 = 0, 5*p = 4*q - a + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 0, l + 22 = -4*p - 13. Let y = -29 - l. Is (y\/(-12))\/(1\/(-1282)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 98*h**2 + 290*h + 488. Let m be c(-95). Solve -2*b + 7*b - j + m = 0, -b = 2*j + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -8. Let y = -4781 + 4779. Which is the nearest to -1? (a) 0.1 (b) i (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 4, n: 3}. Give prob of sequence innn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 0, -379, 0.07, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/14780 and 137\/90.\nAnswer: 133020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -22.5. Let f(r) = 2*r + 3. Let j be f(-6). Let a = -1099\/438 + 2\/219. Sort j, v, a in ascending order.\nAnswer: j, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13*((a*a**(-1\/18)*a)\/a*a)\/a*a)\/(a\/a**(1\/2))**(8\/9) assuming a is positive.\nAnswer: a**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.91 - -11.627. Let r = 0.283 + f. Which is the third smallest value? (a) r (b) -3\/5 (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(57)\/(sqrt(3)*-2)) + (2 + sqrt(19) + sqrt(19))*-1.\nAnswer: -sqrt(19)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 54 = 5*q. What is the remainder when 29 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1397*d**2 - 169026*d + 1334. Determine h(-121).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*(h*h\/h**(4\/7))\/h*h)\/(h**(3\/2)*h*h**(-6)) assuming h is positive.\nAnswer: h**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(243) + -4)*-6)**2.\nAnswer: 64800*sqrt(3) + 233100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 365 (c) 0 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 705 (base 8) to base 14\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101464*h**2 + 59182*h + 1?\nAnswer: -202928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 9*h - 3. Let w be c(8). Let m be (w\/4)\/(1\/(-4)). What is the nearest to -1 in -4, m, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6*p**2 + 33*i**6*p + 5*i**2*p**2 + 2*i**2*p - 2*p**2 wrt i?\nAnswer: -120*i**3*p**2 + 3960*i**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-38)*(c**(-2\/5)\/c)**(-1\/39) assuming c is positive.\nAnswer: c**(7\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 113 = -3*g. Let l = g - 46. Solve -6 + l = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4310021311 (base 5) to base 8\nAnswer: 42447024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -16*a**2 + 10*a + 17. Let l be v(-9). Let y = 4511 + l. Find the first derivative of y*p**3 + 7 + 5 + 9*p**4 - 3142*p**3 wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22519 = 5*s - 5*n - 59136, 5*n = -5*s + 81675. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 18*a**2 - 17*a - 32. Find the first derivative of f(o) wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13553 (base 8) in base 12?\nAnswer: 3577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2029.163ug in tonnes?\nAnswer: 0.000000002029163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 12 = -z, -5*s - 3*z = -s - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 5*q**2 + 5*q + 9. Let a be v(7). Let p = a - -75. Let n be (3\/(-2))\/(2\/(-4)). Solve 5*g - p = -n*x + x, 12 = 5*x - g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let p = 14 - 13. What is the remainder when u is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1813)\/4440*8*(-9)\/21\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27810174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 - 38 + 38 + (39*r**3 + 4*r**5 - 39*r**3)*(3 - 2 + 0).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 3, n: 1, p: 3, e: 1}. Give prob of picking 1 j, 1 c, 1 e, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38670?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, 0.1, -14, 14.96 in ascending order.\nAnswer: -14, -0.2, 0.1, 1, 14.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 + -354 + 20 + 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 10) in base 5?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, o: 14, x: 1}. Give prob of sequence ioi.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70903999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -544310400 by -113398.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1726880 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349477 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52656 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighteen sevenths of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 6. Let x(c) = -c - 6. Let a(o) = -5*o - 43. Let g be a(-8). Calculate g*p(b) + 2*x(b).\nAnswer: b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 388 - 64. Suppose -149*y + 149*y + 4599 = 511*y. Calculate the greatest common factor of r and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -n + 5*n, -33 = 2*x - 5*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1584.4?\nAnswer: 633.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1062*x**2 - 1062*x**2 + 195*x**3.\nAnswer: 195*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nprnnynrf. Give prob of picking 1 r and 1 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21902.\nAnswer: 2, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 177.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88 and -0.4?\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(7) + sqrt(7) - sqrt(63)*-5)**2.\nAnswer: 68*sqrt(7) + 2027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14862253403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*w + 4. Solve w*l - 5 = 5*b - l, -17 = 5*b - 2*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*u - 1151*u = -9*v + 168, 3*v - 76 = -5*u for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q + 6 + q**2 + 1 + 5. Let z be t(-9). What are the prime factors of (z\/(-6))\/((-1)\/86)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -201, 5, -0.1 in ascending order.\nAnswer: -201, -1\/2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2 (c) -2\/9 (d) -0.05 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9.8+940503\nAnswer: 940512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 6*c - c + 4*c - 3*c. Let n(m) = 9*m + 12*m**2 - 9*m. Calculate n(f(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgff when four letters picked without replacement from negfgffwwefwnfen?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/4745 and 51\/2017720.\nAnswer: 26230360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-20))\/(6\/(-4)). Let b(v) = 6*v**2 + 2*v. Let j be b(o). Suppose 0 = -4*g + j*g - 336. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 45\/10*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 17*y - 13. Let a be q(16). Suppose 0 = -2*m - a*m. Let v(f) = -2*f + 5*f + 6 + m. What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635770 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i**5\/7 + 144*i**4\/7 - 4835*i**3\/7 - 7992*i**2\/7 - 2348*i\/7 + 720\/7 = 0 for i.\nAnswer: -10, -1, -4\/5, 2\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7120 and 1424?\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19505406 is divided by 1147376.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - (-3 - -9)) + 8 - -18) + -33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 336675 and 336675 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101209 - -200526. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -3*p - 3*d, 4*d = -d - 5. Let s = p - 52. Suppose -2*q + 3*u - 290 = -s*q, 116 = 2*q - u. What is the greatest common divisor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -41*a + 123. What is k(6)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 15*i - 15. Give y(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 14 = 5*o + 8, 2*o - 18 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 5 = -9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(2*m + 2*m + 0*m)*(1 - 2 + 3).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000009629 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = -19*w - 10. Solve x = -3*y + 6*x - 11, -2*x = -w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.097 - -7.803. Let h = -8 + s. Let v = -0.5 - h. Which is the second biggest value? (a) v (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463793733 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.208 + -122.208. Let h = u - -118. Which is the closest to -0.1? (a) -0.2 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1077020 (base 8) to base 6\nAnswer: -10151012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3\/7)*u)**22 assuming u is positive.\nAnswer: u**(242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251182.\nAnswer: 2, 125591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 1\/525, 8, -4, 2\/13, 0.2.\nAnswer: -4, -4\/11, 1\/525, 2\/13, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61069368*f**3 - f**2 - 762752*f wrt f.\nAnswer: 366416208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s. Suppose s = -o - 3*o + 8. Suppose o*q + 5 - 47 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 6:59 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525844 divided by 374.\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9))**(-24\/7)*c**(-11)\/(c\/(c**(-2\/23)\/c)) assuming c is positive.\nAnswer: c**(-5953\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 2599.82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101111001010011110110 (base 2) to base 3.\nAnswer: -200200200222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 (base 8) in base 10?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 35*p + 187. Let m be y(44). Calculate the highest common divisor of m and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n - n - 238. Let u be (6\/n - 0)\/(23 - -68). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2198 - -2199. Let y = 0.44 - 0.04. Put a, 7\/4, y in decreasing order.\nAnswer: 7\/4, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -1022102330?\nAnswer: -1022103022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-28\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 15*p + 1. Let m be -2 - (-4)\/(-2) - 2. Let j(z) = -z**2 - 7*z. Let f be j(m). Let c be a(f). What is the greatest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5050, -40456, -136558, -323704, -632242, -1092520?\n\"Answer: -5058*w**3 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9.605, 1, 53, -2\/9, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 0.6?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1164.5 - 1426.3. Which is smaller: p or 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5215\/24 + 1365\/8. Let g = f - -47. Which is the third biggest value? (a) -1 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8384 + 3.83778094. What is p rounded to 6 decimal places?\nAnswer: -0.000619","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 31c?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(7) + -1 - (-6*(sqrt(448) + (sqrt(448) - (sqrt(448) + sqrt(448)*1)) - sqrt(448)) - sqrt(448))**2.\nAnswer: -11205 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 158*r - 202*r. Solve r*a + 3*g = -18, -49 = -a + g - 50 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/56 - -1\/8. Let x = -311\/1505 + 2\/301. Let u = -4.5 + 0.5. Sort n, x, u in descending order.\nAnswer: n, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j + 109 - 109)*(-4 - j - j + 3).\nAnswer: -32*j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -744*d - 44672. Calculate j(-60).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*2\/8*4*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-99) - (-256)\/(-252))*1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1168 by 4.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 577 = -121*i - 1877 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 68*q - 23*q - 23*q - 12*q. Let o(g) = -2*g - 3. Let z(a) = -15*a - 20. Let x(k) = 20*o(k) - 3*z(k). Calculate x(d(r)).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220 - -218.47. Let x = 1.592 + z. Round x to 3 dps.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x + 13. Suppose -4 = -2*c - 0*c. Suppose -4*v = -4, -c*v = 2*r + v - 7. What is the least common multiple of x and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 + 6*h + 23. Give k(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 24 + 4)*(-3*j + 2*j + 3*j).\nAnswer: 56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, -3, -5, 86, 4 in ascending order.\nAnswer: -5, -3, -1, 0, 2, 4, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, -430 in descending order.\nAnswer: 3, -2, -4, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -62 - (-53 - -26 - -10).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.03675*-443.8\nAnswer: 16.30965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10*-12)\/((-4)\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 13660*q - 13664*q + 28, 0 = -2*q - 5*b - 42 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76455988993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 113553\/1145 = 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/((-749)\/2140)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 287 + -3*1\/(-3). Suppose n = -t + 28, -5*t + 627*n + 180 = 622*n. What is the highest common divisor of w and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, m: 5, q: 1}. Give prob of picking 2 m and 2 w.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4498123 to the power of 1\/2, to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/t**(-4))*t)\/t)\/t*t*t**(-5\/2))**(-8) assuming t is positive.\nAnswer: t**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9187115 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 the nearest to 26 in 3, -4, -0.13, 1\/3, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -5 (b) 1 (c) -4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 5630*f\/7 + 16908\/7.\nAnswer: -2*(f - 3)*(f + 2818)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 962?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9872 + 0.0128. Which is the smallest value? (a) -3 (b) k (c) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1790*b**4\/7 + 5218874*b**3\/7 - 29019764*b**2\/7 - 13316040*b\/7 - 349200\/7 = 0 for b.\nAnswer: -2\/5, -5\/179, 6, 2910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584490777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1322, -1324, -1328, -1334, -1342?\n\"Answer: -s**2 + s - 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.155 + 0.455. Which is the second biggest value? (a) d (b) 5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7165 - -37715. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {y: 2, n: 6, s: 9}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (-120 + 121) - -68?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2835 divided by 405?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -1)\/(21\/(-9) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/9606 and -43\/27.\nAnswer: 86454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101012231 (base 5) to base 12.\nAnswer: 959b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0589 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56155 - 606?\nAnswer: -56760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f + 1. Let b be (2 - 11\/6) + 0. Let q(g) be the second derivative of 2\/3*g**3 + 2*g**2 + 0 + b*g**4 + g. Calculate 4*k(n) - q(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 115 - -c2d79?\nAnswer: c3090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14564000 rounded to the nearest 100000?\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 10*g - 3*f + 715, 2*g - 260 = 4*f. Calculate the smallest common multiple of 180 and g.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1000342 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - w**4 + (2 - 3 - 2)*(10*w**4 + 2*w**4 - 6*w**4) to l*w + f*w**2 + z*w**3 + x*w**4 + m and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1344*k**2 + 433*k**2 - 12 + 12 + (-5*k + 4*k - k)*(401 + 39*k - 401) to the form r*k + q + p*k**2 and give p.\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3754144*t - 3754144*t - 4*t**2 - 15*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44 - -39)\/(5\/(-2)). Suppose 4*m - 1999 = -t - k*t, -4*t - 1964 = -4*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.18 - 30.82. Let i = 88 - 58.4. Let m = c + i. Which is smaller: m or -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = 5*h. Let k = -1 - h. Is -4 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + sqrt(114)*1))*5)\/(sqrt(864)\/sqrt(9)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/160*-4*-5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324120 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/21*7\/3. Sort 3, -3, a.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 164 = 3*x. Suppose 2*w + 62 = 3*l - 95, l + 5*w = x. Is l 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? (a) -6.5 (b) 17\/5 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/2 + 174427*v + 30424778329\/2 = 0 for v.\nAnswer: -174427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0852 - -0.1148. Which is the third biggest value? (a) p (b) -18 (c) 9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/35)\/(96\/112)*9?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x + 79*x = 42*x - 864 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 5. Let x(i) = -3*i - 4. Calculate 3*g(d) - 4*x(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Let x(v) = -2*v**3 - 22*v**2 + 2*v - 18. Let z be x(-11). Let j be q\/4 - 4\/z. Is j at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*i + 40, f - 3*i = -4*f + 87. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let v(o) = 0*o + 4 - 10*o**2 - 6*o + 3*o + 11*o**2. What is the units digit of v(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/492, -2\/5, -0.1, 1, -2?\nAnswer: -1\/492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (175 - 243) + 13 + 48?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2\/4 - 124923*q + 499689\/4 = 0?\nAnswer: 1, 166563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142932*f - 142079*f + 29855 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 19 - (-27 + -2 + -4 + 10)) + 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 + 218.99. Is 16 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -327, -353, -375, -393, -407?\n\"Answer: 2*m**2 - 32*m - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/5 + (-51)\/5. Let o be (72\/(-5))\/(2\/j). What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyaayyayyyaayyayya. Give prob of picking 2 y.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-32)*2\/9\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 283276 and 16415.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + 8, 4*m = 2*p + 24. Solve -m*a + 2 + 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-390)*37\/(5180\/24)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2\/7 (c) -1\/10 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10377482.4 to the nearest 10000.\nAnswer: 10380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 0*i**2 + 8*i**3 + 0*i**2 + 4*i**4.\nAnswer: 4*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 14 + 0 = x, x - 5*i = 16. What is the biggest value in x, -4, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/7 (b) -83 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x + 26. Suppose -10 = g - 5. Calculate the lowest common multiple of n(g) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-2407)\/3480)\/(-83)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2) + (1 - 4). Let o = 4.01 + -0.01. Let k = 3.5 - o. Which is the second biggest value? (a) -1\/7 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0*s**3 + 0*s**4 - 3*s**2 + 0*s + 0 - 1\/120*s**5. Solve l(q) = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*s*u + 2*p*u**3 - p*u + 31*p - 2*s*u**3 - 3*s*u - 108*u**4 wrt u?\nAnswer: 12*p*u - 12*s*u - 1296*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/3)*0\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 411744 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 8*b + 22*b - 336 = 0 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 56.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-126)*(11 - -24). Let u(n) be the first derivative of -2*n + 10 + 0*n**2 - h*n**3. Differentiate u(o) with respect to o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -1 (b) 4 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 72 = -33*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 0.08, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -a4458?\nAnswer: a445c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*2)\/2 - 6. Let j be 4\/(2 + 32\/(-20)). Let q be (-1)\/(-5) + (-10)\/j. Sort q, -1\/5, f.\nAnswer: f, q, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111111 and 290059?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -958.6, -0.263, -1\/3 in decreasing order.\nAnswer: -0.263, -1\/3, -958.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c + c**4 - 570 - 259*c**2 + 68*c**3 - 130*c**3 + 64*c**3 + 910*c**2 wrt c.\nAnswer: 12*c**2 + 12*c + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 206. Let p = i + 1884. Suppose 3*w = w + p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17*v + 121 = 18*v, -68 = -3*l + 4*v. Calculate the lowest common multiple of l and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5205 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.95916 times -5?\nAnswer: -14.7958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2404*p + 4. Let z be m(-1). Calculate the common denominator of (15\/8)\/(-24*18\/z) and -31\/422.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -392 or -391?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*v. Let t be (-3)\/6 + (-15)\/(-6). Let w(d) = 3*d**3 - d**2 - 3*d**t + 3 - v*d**3. Determine w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Put g, -3, -4 in increasing order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -10607.\nAnswer: -32\/10607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 240 = -3*z + 335, -3*u = -2*z - 843. Calculate the least common multiple of (9\/6)\/(u\/140 - 2) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4.4. Let l = -454 + 2272\/5. Which is the smallest value? (a) 5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1509, 1523, 1559, 1629, 1745, 1919?\n\"Answer: 2*j**3 - j**2 + 3*j + 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6091168.\nAnswer: 2, 17, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(68) - 3*sqrt(68)*1))\/(sqrt(40)\/(sqrt(10) + (sqrt(90) - (sqrt(90) - sqrt(90)*-2) - sqrt(90)))).\nAnswer: -288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -45*n + 16. Let y be m(-8). What is the greatest common divisor of y and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e1a (base 15) to base 6.\nAnswer: 50154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -29*i + 27. Calculate r(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**3 + 6*b**2 + 4. Let g(k) = -k**3 + k**2 + 1. Suppose 0 = -5*j + 4*p + 3, -j + 0*j = -5*p - 9. What is j*v(r) + 4*g(r)?\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 9. Let h be k(-2). What is the derivative of -4*d - 11*d**3 + 4*d - 3*d**3 + h wrt d?\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18408506 divided by 3\nAnswer: 18408506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 16*i - 275. Let g be d(0). Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (978\/3586)\/((-18)\/1650).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -5.04. Let c = a - 4. Let h = -0.09 - 3.91. What is the biggest value in h, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243))*4.\nAnswer: -4 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 13. Let i be w(3). Suppose -p + 18 = i*p. Suppose 215 = 11*z - p*z. Does 27 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7466164 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.325 + 0.075. Let q = 15 - a. What is q rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = 4*n, -41 = 4*k + 5*n. Let x = -3 - k. Is -1*x + 498\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 701*c**4 + 775*c**3 + 318*c**2 - 46*c - 3.\nAnswer: 16824*c + 4650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -38\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 72*s - 357. Let q be y(5). Which is the third biggest value? (a) -11 (b) q (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1740*u**3*x**3 - 2*u**2*x - 2*x**3 - 131*x wrt u?\nAnswer: -10440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -e14e0 (base 16) in base 3?\nAnswer: -1201212220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2058 and 55\/1471764?\nAnswer: 10302348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**2 + 201*k + 15. Determine r(25).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/328)\/((-1)\/((-6)\/(-2)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 57. Let i(o) = 11 + 6 - h - o. Suppose -2*p + 5*a - 8 = 0, 0 = 4*p + 2*a + 16 - 0. What is i(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:14 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 5*f + f)*(3*f**3 - 59*f**3 + f**2 + 30*f**3) to the form n*f**4 + t*f**2 + w*f**3 + u*f + q and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9 less than -136896704?\nAnswer: -136896723.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*x + 68 - 219 = 0, -259 = -3*i + x. Suppose 0 = -3*g + 4*k + 198, -3*k + i + 110 = 3*g. Calculate the greatest common divisor of g and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + (sqrt(405) - (-1 + sqrt(405))) + (sqrt(405) + 0)*-4 - (-5*2*sqrt(405) + -6*(-1 + sqrt(405)))) + -3)**2 + 3.\nAnswer: -1728*sqrt(5) + 58387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = 4*g. Suppose 0 = -g*p - 0*p + 6. Suppose 4*w = -2*f + 52, p*f = w - 2*w + 8. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 16. Let b(m) = m**2 - 12*m + 39. Let s be b(6). Let o(r) = 11. Let c(z) = s*d(z) - 4*o(z). Determine c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + 5964\/(-1001) + 8 - 4\/22 and -37\/104.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, e: 1, y: 2, w: 5}. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**3 - 29*p**2 - 7*p + 24. Let w be z(21). Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.436 - 4.436. Let o be (9\/5 - 2)*2\/(-3). Which is the nearest to -1? (a) t (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15381.36999968 + 15383.37. Let v = 2.7 + -0.7. Let y = j - v. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -45811\nAnswer: -137433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:01 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 74, 175, 318, 503, 730?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*b + 2*x, 0 = 2*x + 3 + 5. Suppose -6*g + g + 90 = 0. Suppose b*c + 3*u + 36 = 3*c, 3*u = -c + g. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Suppose 2*c = -2*m + 30, c - 47 = -3*m - v*c. Let s = -8 + 12. Calculate the lowest common multiple of s and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 - (-3 - 26). Suppose -24*c - 8 = -s*c. Calculate the lowest common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/(-6))\/((-6)\/(-28)). Calculate the smallest common multiple of 3\/(-9) + b\/3 and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244 = -8*u - 1228, k = 4*u - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5516.552ml to litres.\nAnswer: 5.516552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -1 - 2 - -27. Suppose 85 = -18*b + p*b. What is the highest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.802101g in micrograms?\nAnswer: 7802101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdk when three letters picked without replacement from {d: 4, o: 3, k: 1, v: 5}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 131664 = -3*b. Suppose -9*o = -17*o + b. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 90*s**2 - 12*s + 60. Let k(z) = 135*z**2 - 17*z + 90. Let y(i) = 7*b(i) - 5*k(i). What is the derivative of y(w) wrt w?\nAnswer: -90*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z + 31. Let s be c(-5). Let b be 255\/s*48\/(-20). Let f = -19 - b. Calculate the remainder when f is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(153) + 0 + -5 + ((-2 + sqrt(1088))*-1)**2 + -1.\nAnswer: -29*sqrt(17) + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550640 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/q)\/q**(9\/4) assuming q is positive.\nAnswer: q**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 16 + 4)*(150*b + 541 - 541)*(1 - 2 - 2).\nAnswer: 6750*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-3)\/2) - -12*7. Suppose -84*r + 36 = -z*r. Let y(q) = 41*q - 18*q - 7 - 1 - r*q. Let x(l) = -11*l + 17. Calculate -6*x(t) - 13*y(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fmffb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-6 + -3 + 8 - (5 + -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 131479 (base 10) to base 5\nAnswer: 13201404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - d + 10 = 0, 3 = 2*s + 2*d - 11. Suppose -59994 = s*n + 2*t, t = -n - 6316 - 13681. What is n rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/12 - 428*p + 130832\/3 = 0 for p.\nAnswer: 104, 5032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/135 and -163\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -9, 24, 81, 162, 267, 396?\n\"Answer: 12*x**2 - 27*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 171733*b**2 + 5323723*b + 12. What is g(-31)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k - u = -42, -4*u = 3*k - 68. What is the second smallest value in -1\/5, 10, k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13368103453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/10 + (-1)\/(-2). Let g be -2 - (6 + 0)*-3. Solve 3*t - 10 = -4*m + 2*m, k*t - g = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 j when three letters picked without replacement from ldljuluuuuullluullu?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**7*y*y)\/y*y\/(y\/(y*y*y**(-3)*y*y))*(y*(y**(-3)*y)\/y)**(1\/37) assuming y is positive.\nAnswer: y**(368\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(5*f + 0*f - 3*f) + 68601 - 2161*f - 68601.\nAnswer: -2159*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 31. Give r(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40562\/62775 + -2\/2025. Let n = -14577579\/217 + 67178. Let g = n - f. Sort 3, -4, g in increasing order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 4. Let v be k(6). Suppose -l + 7 = -v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000136917 rounded to 7 dps?\nAnswer: -0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -120*f**2 - 3*f. Let k(q) = 478*q**2 + 14*q - 2. Give -2*k(v) - 9*l(v).\nAnswer: 124*v**2 - v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 22*w**2 - 25*w**2 + 6*w**2 - 2*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 11*r - 9. Let o be z(-9). Let f = -3 + o. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/28)\/((-29)\/2 - -14). Which is the nearest to -0.2? (a) 7 (b) -79 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkkzkkakzckkzk. What is prob of picking 1 c, 1 a, and 2 k?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(143)*5 + (sqrt(143) + 1*sqrt(143))*-4 + sqrt(143))\/((sqrt(77)*-1*3)\/(-2*sqrt(7)*2 + sqrt(7))).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zctccttezzt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3787647.\nAnswer: 3, 113, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -809.309077 to two decimal places.\nAnswer: -809.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5485278 kilometers in millimeters?\nAnswer: 548527.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 59. Let q be k(19). Suppose -q*x - 5 = -0*x + b, -x - b - 4 = 0. Does 21 divide 4273*x\/(-15) - (-4)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/14 and -1\/188.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 - 4923401666.\nAnswer: -4923401666.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*b**3*s - 30*b**3 - b**2*s + 30*b**2 + 2726481*b*s wrt b?\nAnswer: -426*b*s - 180*b - 2*s + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32145728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704 and 450472.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 6 + 14. Solve -4 = 3*u + 2*t, 2*t + 4 = u + g*t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 3*u + 1. Let s(y) = y**2 + 6*y. Let t(b) = -2*j(b) - s(b). Suppose -5*v - 2 = 2*z, -10 = 4*v - 5*z + 18. Calculate t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -1.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 5306236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f - 3 = -3*c, 3*f + 3 = 0. Let g(o) = -o**2 - 1. Let s be g(c). Let i(p) be the third derivative of 7*p**5\/60 + p**4\/24 - p**2. Calculate i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + o + 13280 = -0*o, 0 = 2*o - 8. Suppose 315 = -9*j + q. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.102378 to one decimal place.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85739\/20 + -4282. What is the common denominator of -71\/78 and v?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 54*d - 3564. Let q be i(65). Let r be (1 - -3)*189\/12. Let c = r + q. Solve a - c = 4*g, 0*a + 4 = -g + 2*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x + 36*x = 162 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/266 + -1*(-15)\/7. Solve s + 3*g = 5*s - 29, -g = -c*s + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/((-18)\/(-90))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967\/4 < -2085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-14)\/(7084\/(-23)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -9 (c) -2\/11 (d) -225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 17 = -4*o, -4*k - 5*o = -24 - 11. Let g(l) = l**3 - l**2 - 3*l + 2. Let x be g(1). Let v be x*4 + 0\/8. Put v, k, -5 in decreasing order.\nAnswer: k, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*u - 3*r - 17, u - 36 = 4*r. Suppose 0 = s - 5*g - 4, s + 2*g = u + 8. Solve 6 + 2 = 4*h - 4*p, -5*p - s = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 627, 634, 641, 648?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, 0.87, 135.\nAnswer: 0.1, 0.87, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33313907?\nAnswer: 11, 3028537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(13)*4 - sqrt(91)\/(sqrt(7) + sqrt(63)\/(sqrt(9)*3)).\nAnswer: -7 + 13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s - 16. Let x be (1 - 9)*-2*(-9)\/(-18). What are the prime factors of x - (-16)\/s*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:35 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*l - 25*l - 18 - 3)*(4 - 4 + 2*l) to v*l + h*l**2 + d and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 644, 1235, 1826, 2417?\n\"Answer: 591*i + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*o - 221*o**2 - 61*o - 100*o + 218*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z**(4\/7)*z*z)\/z))\/z*z)**(-4\/5)*z**(-2)*z\/(z*z\/z**(-2\/3)) assuming z is positive.\nAnswer: z**(-169\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 3)*(0 + -1 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*p + 2676. Let b = p + -312. What is the remainder when b is divided by ((-6)\/4)\/(-3)*68?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3863 (base 9) to base 8\nAnswer: 5514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/24)\/(6\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -19 + (4 - -5) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 41 = 7*b, 16*l + 30 = 21*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6663*p**4 - 2*p**2 + 1283*p.\nAnswer: -159912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + y + 237619, -29*r + 2*y + 237617 = -26*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/348, 1, -326?\nAnswer: 1\/348","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(184\/(-48) - -4). Let l(c) = -c**3 + c - 49. Determine l(a).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -7*t**4\/4 + 2*t - 1. Find the first derivative of x(w) wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. What is the third derivative of -3*s**2 + s**2 + 3*s**5 - t*s**5 wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6045 - -6161. What is the remainder when 260 is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwfyywyykfykwkbwwyb. What is prob of sequence wwwy?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 130*r + 276. Let l(v) = -26*v - 55. Let y(a) = -11*l(a) - 2*n(a). Let h be y(-2). Solve 4*o + 13 = u, 0 = -5*o + u - h - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j*j*j**7*j)*j**14\/j assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {u: 4, o: 2, k: 1, a: 3, g: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923900.\nAnswer: 2, 5, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.2, 3, 0.959?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 103580 (base 9) to base 4\nAnswer: 33010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-168)*-6*(-42)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v**3 - 38*v**3 - 174*v**2 - 5*v + 5*v.\nAnswer: -v**3 - 174*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = 0, -p - 17 = -2*l + 24. What is the highest common factor of 2988 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 22. Let a be i(9). Suppose 4*q - 5 = 3, 0 = 3*v - q - a. Suppose -3*t + v*f + 233 - 81 = 0, -3*t = 5*f - 172. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-23)\/7 - 170\/350. What is the closest to 1\/5 in k, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 2. Let b be d(-2). Suppose p + 4*t - 165 = b, -600 = -4*p + 2*t - 3*t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 3, c: 1}. What is prob of picking 1 f and 1 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and -5.44843.\nAnswer: -6.24843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 22*u**3 - u**2 + 3*u - 2. Let w be r(1). Let s = w + -20. Let j be 3\/60*(-15)\/s. Which is the third biggest value? (a) 1\/5 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155 times -3?\nAnswer: -0.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 12*r + 3. Give m(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -12, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:54 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*t**4*w + 10*t**3*w**3 + 14*w**3 - 4 wrt t.\nAnswer: 56*t**3*w + 30*t**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*i - 753*i + 161*i - 116*i**3 + 426*i.\nAnswer: -116*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17530 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let c(f) = -2512*f**2 + 1. Determine c(p(m)).\nAnswer: -10048*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-4)*z*z*z\/z**(-3))**(4\/17) assuming z is positive.\nAnswer: z**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - 1. Let r be p(1). Suppose 2*m - 118 = 4*d, 207 = -r*m + 6*m + 4*d. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -112*x**2 - 3*x + 6. Let k(b) = -169*b**2 - 4*b + 9. Give -5*k(o) + 7*t(o).\nAnswer: 61*o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 7*u + 12. Suppose 0*p - u*p - 4 = 0. Do -4\/5 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plkepnnik. What is prob of picking 1 p and 1 n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + -3 + sqrt(1575)*2)*-6)**2.\nAnswer: -4320*sqrt(7) + 453672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3370532 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -19, 4, -2, 3.\nAnswer: -46, -19, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16961397?\nAnswer: 3, 5653799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/6 - 16\/(-24). Suppose 43 = 3*g - 2*y + 3*y, 3*y = -a*g + 24. Let z = g - 3. Solve -4 + z = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*b**2 - 184*b + 184*b.\nAnswer: 65*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 30 - 8*y + y - 3*y**2.\nAnswer: -3*y**2 - 7*y + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2741, -6634, -13125, -22214?\n\"Answer: -1299*j**2 + 4*j - 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*3*(-2)\/(-6). Suppose 4*f - 3 - r = 0. Let t be (f + 0)*20\/2. Calculate the highest common divisor of 25 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*z - 3 = -0*k, -2*k + 3*z = 5. Let p be k + 6\/(-3) + 25. Let w be 2*(0 - 33\/(-2)). What is the highest common factor of p and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 6*w**2 - 5*w + 6. Let m be g(-5). Suppose -m*a + a = -120. Suppose -s - 4*u - 56 = -5*s, s - a = -4*u. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/4*2)\/(54\/(-540)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r + 0*r = 0. Suppose 311 = 2*y - r*s - s, 4*y - 3*s - 621 = 0. Let o = -56 + y. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58011297 divided by -3.\nAnswer: -19337099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 3 + 3 + 9 - 1. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/585 and ((-1365)\/364)\/((-91)\/(-16)).\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c + 15368 = 62*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33550 - -2?\nAnswer: -33544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6300\/1176)\/(11\/154)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59568 divided by 19856?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.751 - -7.249. What is the smallest value in 1, -22, o?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.28 + 11.72. Let a = 10 - k. Which is greater: 4 or a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 220, 331?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (93 + -95)*1\/(-1). Solve -21*h + 3 = -18*h - 2*q, -5*q = -m*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.2, 0.2, -1, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 429 = -2*c + 352, -2*v = -2*c + 778. Calculate the lowest common multiple of (-2)\/(-9) + -2 + c\/36 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/44)\/(9\/468)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/152 and 23\/543381?\nAnswer: 4347048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = -7. Suppose x = 2*f + 11. Suppose -f*p - 8 = -26. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -115. Suppose 267 = -f*l + l. List the prime factors of l.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*i + 20 = 0, -3*i = -q - 0*i - 8. Solve 4*d = q + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 70 + 68. Sort -1, 9, v, 3 in decreasing order.\nAnswer: 9, 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 1}. Give prob of sequence vvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11710187 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 60 = 5*q. What is the least common multiple of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t*t**(5\/3))\/((t*t\/t**(1\/3))\/((t\/(t**(-6)\/t))\/t)))**(-29) assuming t is positive.\nAnswer: t**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 31. Let g(w) be the third derivative of -w**2 + 0*w**6 + 0 + 0*w**3 + u*w**5 + 0*w + 0*w**7 + 0*w**4 + 1\/1008*w**8. Factor g(m).\nAnswer: m**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*q + 0 + 306*q + 0 - 149*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-4 - -3)*-2). Let w be (0 - 1)\/(-3 - -2). Let l = w + f. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 10*a**2 + a - 10. Suppose l + r + 4 = -3, 0 = 4*l - 2*r + 40. Let z = 1894 + -1862. Calculate the remainder when k(l) is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 8. Suppose 3*b = -3*i - 4 - 5, 0 = -b + 4*i + v. Solve 2*w = 2*j, -j - b = -0*w - 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(0 + 9 - 1)*(-v + 3 - 3).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6598972732 and 0.\nAnswer: -6598972732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**4\/4 - 7*d**3\/3 - 7*d**2\/2 - 4*d - 11. Let t be z(8). Suppose t*x - 9 = 3*i, 0*i - 2*i = x - 5. Solve -1 = x*o + 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/16 - (-17)\/4. Let i = -103.8 + 104.2. Let k be 1\/2*(-8)\/(-9). What is the closest to -0.1 in k, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 - 85*d**4 - 150*d**3 + 10*d**2 + 155*d + 75.\nAnswer: -5*(d - 1)*(d + 1)**3*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, s: 11}. What is prob of sequence gsgs?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-5)*(-40)\/30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 - 2. Let i = -50995.05 - -50995. Which is the closest to i? (a) 2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1011?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 88760 * -0.3\nAnswer: -26628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 1?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 - 6946*y**2\/3 - 4632*y.\nAnswer: y*(y - 6948)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t + 1. Is t bigger than 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 144? (a) -3\/7 (b) 11\/16 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*h + 4*v, 4*v - 3 = 13. Suppose h*b = 2*b. What is the first derivative of -1 + b*y**2 + 0 - y**2 + 0 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2. Let l(t) = -20*t**2 - 2*t - 1. Let u(a) = l(a) + 4*n(a). What is u(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -26*p + 737. What is o(28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 plus 1904?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11800544 and 672.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1667 (b) -318 (c) 0 (d) 3 (e) -4 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -4, 131 in ascending order.\nAnswer: -7, -4, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -2*a - 2*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let s(w) be the first derivative of 70*w**3 + 205. Give j(s(p)).\nAnswer: -88200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -q + 9*q. Calculate the least common multiple of q and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 2)*(-138)\/(-6) - -4. Suppose -6*n + 12 = -2*n. Calculate the greatest common factor of n and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547871 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20717 + 5?\nAnswer: 20721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2622876?\nAnswer: 2, 3, 29, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 17495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 8*h - 550. What is the remainder when h is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49.56 and -0.5.\nAnswer: -24.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:07 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -71\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966795?\nAnswer: 3, 5, 64453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 1206. Suppose 2*r - j = 467, 3*j - 547 = -4*r + l. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwbnbbwwddnwwnwwwnc. What is prob of picking 1 n and 2 d?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1095072 divided by -16\nAnswer: -68442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c + 5*y = -15780015, -3*c = y + 15780003. What is c rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -1. Let y = 9 + d. Which is the third smallest value? (a) -2\/3 (b) y (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 - (-3 - 2) - 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -11 + 11 + (4 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623669 (base 10) in base 3?\nAnswer: 11221021222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g - 4*o + 85, 3*g = -o + 288. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1632 and -41\/112?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 2*z**2 - 4*z - 2. Let h(a) = a**3 + 2*a**2 - 5*a - 2. Let q = 12 + -7. Suppose q*o = 4*o + 4. Let x(y) = o*m(y) - 3*h(y). Factor x(p).\nAnswer: (p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = c - 22, 2*c - 7 = 5*i + 28. Let z = -7 + c. What is the remainder when (-1)\/(0 - (-1)\/(-71)) is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28497635 divided by -5.\nAnswer: 5699527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -801, -1208, -1633, -2082, -2561?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z**3 - 13*z**2 + 8*z - 19. Let t(x) = 9*x**3 + 12*x**2 - 8*x + 18. Let k(c) = 6*d(c) + 7*t(c). Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-982)\/(-35) - (72\/300)\/((-903)\/(-215)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 5*n + 2. Let p be b(3). List the prime factors of (3\/p)\/(1\/(-24)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 417 and 2.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6762 and 46529?\nAnswer: 1954218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 2304.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q\/q**(-6\/11))\/q)\/q)\/(q\/q**(3\/2))*(q\/(((q\/q**(1\/5))\/q*q)\/q))**(-1\/23))**(3\/29) assuming q is positive.\nAnswer: q**(7539\/73370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 933.7329 tonnes?\nAnswer: 933732900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 2*h - 2*h)*(48 - 48 - 3*h)*(h**3 - h**3 + 4*h**3) - 383*h**4 - 34*h**5 + 383*h**4.\nAnswer: -58*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 5*m + m)*(3 - 3 + 3) + (6*m - 8*m - 15*m)*(0 + 4 - 6).\nAnswer: 58*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 134*a**2 + 16*a - 362. Let s be r(-64). Round s to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*d = 333 - 1225. What is the remainder when 324 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8830367\/2 smaller than -4415183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 789.068 + -786. Let w = r + -0.068. Suppose 0 = -5*s, 2*f + 5 = -3*f + 4*s. Which is the second biggest value? (a) -6\/5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 37. Suppose 6 = -5*a - p*m - 2*m, 3*a - 3*m - 9 = 0. Let c(t) = -t**3 - t**2 + t + 4. Give c(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 7136*c**2\/5 + 21381*c\/5 - 128394\/5.\nAnswer: (c - 3)*(c + 6)*(c + 7133)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 2154, 7232, 17118, 33414?\nAnswer: 57722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-70))\/(26\/(-117)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/11 + 16\/(-88). Suppose y = -g + 3*g. Suppose 2*t = 5*b - 8, 2*t = b - t + 1. Solve -l + g*l + x = 3, b*l = 4*x - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 - j**2 - 7*j - 6. What is the units digit of t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -5. Let w = -56 + 53. Which is the second biggest value? (a) g (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 2, q: 2, g: 1, t: 1, k: 2}. Give prob of sequence og.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 56, 7 in decreasing order.\nAnswer: 56, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.2. Suppose 7*v + 15 = 2*v. Let u be (-6 - -3)*(-4)\/(-3). Which is the nearest to z? (a) u (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/12 - m**3\/6 - 5*m**2 - 23*m. Let u be p(-3). Solve -5*s + 5*b - 3 - u = 0, 3*b + 25 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996111680 to the power of 1\/2, to the nearest integer?\nAnswer: 31561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 66. What is x(0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.867261 milligrams in grams?\nAnswer: 0.009867261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 - 2)*(3*h + 2*h - 2*h) - h - 5*h + 4*h)*(0*h**4 - 4*h**4 + 2*h**4).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r - 51 = -62*r - 3*t, 29 = 2*r + 5*t. Solve 0 = -4*z + r - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34623 is divided by 17281.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 481\/(-507))*3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -4450?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17 = 13. Factor -5*a + p*a + 4*a + 5*a**2 - 30.\nAnswer: 5*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 51\/(-6))\/((-15)\/30). Suppose 5921 = n*v - 6026. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 6*v**2 + 2. Let l be k(6). Suppose 2*h - 126 = -l*z, -2*h = -4*h + 5*z + 126. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiij when four letters picked without replacement from {j: 10, i: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257 - -369. Calculate the greatest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 7}. What is prob of picking 3 p and 1 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 80*v**2. Let m(t) = -3*t**2. Let g(r) = 110*m(r) + 4*p(r). Let q(j) = -j**2. Determine g(q(i)).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 1a6?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000255455 to six decimal places.\nAnswer: 0.000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248160160?\nAnswer: 2, 5, 1551001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-180)\/27*(-108)\/5. What is the highest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -1.6?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -21*q - 25. Let b be z(-3). Suppose 0 = -3*w + b - 11. Find the third derivative of 8*y**2 - 15*y**3 - 14*y**3 - 7*y**3 + w*y**3 wrt y.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5812717 microseconds to nanoseconds.\nAnswer: 581.2717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 3 (c) 0.093 (d) -2\/43 (e) 129 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, 2, 0.3 in ascending order.\nAnswer: 0.3, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, i: 3, e: 2}. What is prob of picking 1 e and 2 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-314)\/(-36) + -3 + (-28)\/126.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12833 and -0.1?\nAnswer: 1283.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8 + 1)\/((-90)\/60).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 divided by -4?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -3110?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-135)\/(-21) + (-3)\/7. Suppose -5*o - 5 = 0, -w - 50 = -t*w + 5*o. Calculate the common denominator of (70\/(-12))\/(w\/(-6)) and 76\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/61 in 1, 4\/3, -1\/3, -18, -0.149?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7595 divided by -54\nAnswer: -7595\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 789*t + 8952. Give m(12).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/3 + 4 + -1 + 2. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 - 2*k - 2. Let g(i) = -14*i**2 + 7*i + 5. Calculate -8*b(u) - 3*g(u).\nAnswer: 2*u**2 - 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -55. Solve f - 5*k = -10, -k = g*f + k - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 1. Let h(z) = z**3 + 11*z**2 - 11*z + 3. Let s(w) = h(w) - p(w). Let y be s(-11). Solve -y*d = -0*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 + 1 = 0. Suppose -3*c + 3*r + i = -4, 3*r + 9 = 4*c. Suppose -d - d + 10 = c. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1190 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, i: 1, d: 2, y: 1, s: 1}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -babc (base 15) in base 2?\nAnswer: -1001101010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*l = 377*l. Suppose m - 2*p + 3*p = -127996, m - 5*p + 128020 = l. Round m to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 156 = 5*v + 14*n, v = 8*n + 60. Calculate the highest common divisor of v and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -50*x + 15. Let v(b) = -7*b + 2. Give -2*f(c) + 15*v(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7000583 minutes in days?\nAnswer: 0.003263929375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1 + (-39)\/(-18). Let g = 5\/6 - q. Suppose -2\/9*f**2 + g*f - 4\/9 = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/49 - 0) + (3 - 3). Factor -c*m**2 - 3\/7 + 6\/7*m.\nAnswer: -3*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 263316060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -3950310343565.\nAnswer: -3950310343564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {d: 1, q: 2, o: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2313\nAnswer: -4626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3151*w**2 - w - 2663*w**4 - 2664*w**2 - 2633*w**4 wrt w?\nAnswer: -127104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 282*d**4 - 139*d**4 - 141*d**4 + 40*d**2 - 2*d as g*d**3 + v*d**2 + x*d**4 + a*d + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a + 1\/2*a**2 - 155. Let u(k) = -7*k**2 - 40*k**2 + 8*k**2. Determine t(u(x)).\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*v = 7, 10*l - 10 = 5*l + 5*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10121?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4507 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44297 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - ((-110)\/(-42) + 1). Let o = -1031\/105 - r. Find the common denominator of o and (-4)\/(-2) + 87*(-4)\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/7 + 4*d**2 - 102*d\/7 = 0.\nAnswer: -17, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 979, 964, 909, 790, 583, 264, -191?\n\"Answer: -4*x**3 + 4*x**2 + x + 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + r = -7919, -623 = 5*i - 4*r - 10530. Is i a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1394 - 47137?\nAnswer: -47137.1394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38429311*l**6 + 19143636*l**2 + l wrt l.\nAnswer: 4611517320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**2*q**3 + d**2*q**2 + 5*d**2*q - 4*d**2 + 90*q**5 wrt q.\nAnswer: -48*d**2 + 5400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*h - h + 13, 3*s - 1 = 5*h. Let w be (1 + s + -1)\/2. Let d = 21.98 + -21.58. Put -2, d, w in decreasing order.\nAnswer: w, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzz. What is prob of sequence znz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-5) - 10\/(-9 - -7). Which is the closest to 0.13? (a) u (b) 0.4 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/381 or 11?\nAnswer: -68\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-7 + 2 + 5) - (-5)\/(20\/(-364)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226375077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -209, -702, -1475, -2528, -3861?\n\"Answer: -140*f**2 - 73*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18606 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 3. Let l be p(3). Let d = 11 - l. Which is the nearest to -2? (a) -4 (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -60\/287 (b) 7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y + 4*v = 20, 4*y - v - 4 = 0. Let h be 3\/5 - (-1624)\/35. Suppose 4*q + y*k - h = 1, 2*k = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 - 57*c + 61. Let o be f(-5). Solve 31*s - o = 84 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/180)\/(2\/94). Let r = -8\/5 + d. What is the nearest to -2\/3 in 1, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2 + 1260*r = 0.\nAnswer: -1260, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 1. Let l be g(3). Let x = 0 + l. Suppose w + 13 - 175 = -x*u, 2*u + 3*w - 86 = 0. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2755041?\nAnswer: 3, 918347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**7)**(4\/7)\/(q**(19\/3)\/(q*q*q*q**(-29)*q*q)) assuming q is positive.\nAnswer: q**(-709\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4 + 11*q**3\/3 - 34*q**2\/3 - 44*q\/3 - 8\/3 = 0.\nAnswer: -2, -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2821*z**3 + z**2 - 1605?\nAnswer: -16926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -47*a + 262. Let m be w(6). What are the prime factors of 45\/(-75) + (-11552)\/m?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5616 - p + 10665 - 6673 + 2*p)*(-4*p - 4 - 2*p + 5*p) to the form i*p + c*p**2 + z and give z.\nAnswer: 6496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -101717, -203474, -305231, -406988?\n\"Answer: -101757*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Suppose -b - 4 = -5. What is the third biggest value in 1\/7, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 5 - 3 - 5*j**3.\nAnswer: -3*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 5, n: 12}. What is prob of picking 1 n and 2 d?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -732250, -1\/3 in decreasing order.\nAnswer: 5, 0.2, -1\/3, -732250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987681?\nAnswer: 3, 71, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 i when three letters picked without replacement from {i: 4, h: 2, u: 1, n: 2, l: 2, s: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = x + x + 74, 0 = 2*d + 5*x - 43. Suppose 60 = 5*l + 2*w, w = -4*l + d + 21. Factor l*p**5 + 3*p**2 + 26*p**4 + 5 - 5 - 4*p + 18*p**3 - 5*p**2.\nAnswer: 2*p*(p + 1)**3*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988341874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*r = 8, -n = r + 6 + 6 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/27561, 2\/11 in ascending order.\nAnswer: -1, -2\/27561, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 4*p**2 + 30*p - 104. Calculate s(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 7*f - t + 5*t, 3*t + 27 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5140711075.\nAnswer: 5, 205628443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 334183*j - 12*j**4 + 11*j**3 + 71*j**4 + 334184*j as q*j + i + l*j**4 + y*j**3 + n*j**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4374202 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = 3*m + 192. Let t = m - -168. Calculate the remainder when 153 is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t - 1. Let p(w) = 808*w. Determine 2*l(c) - p(c).\nAnswer: -832*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = u - 5, -6 = 2*l + 4. Let b = 23 + u. Solve b*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084967 rounded to five dps?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1513 + -12005\/8. Let o be (-3231)\/(-1166) + (-4)\/(-8). Let x = o - -5\/106. What is the common denominator of x and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217 + 352. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 19923?\nAnswer: 1514148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 9c5bb0?\nAnswer: 9c5bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16948, 27831, 38714, 49597?\n\"Answer: 10883*h + 6065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (98\/4)\/(3 - 51\/18) is divided by 47?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41494 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/3438?\nAnswer: -7\/3438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. What is the first derivative of 4*p**d - 1 + 0 - 2 wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472758 divided by -157586?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (420 - 96 + 575)*(15*f - 15*f + 9*f**2) in the form c*f**2 + k*f + l and give c.\nAnswer: 8091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3336 + 3505. Calculate the greatest common divisor of 416 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18*c**3 + 7*c + 14. What is h(-2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(96) - sqrt(6)))\/((sqrt(12) - 4*sqrt(12))\/sqrt(6)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:07 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36315514 (base 7) in base 3?\nAnswer: 20002011112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/(-6930)*264\/(-36).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73979 + -2319?\nAnswer: -76096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-549 - 5823 + 443 - 1072)*(3*v - 3*v - v) as i*v + a and give i.\nAnswer: 7001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -8. Let h = 1573\/6 - 14173\/54. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*g + 3*g. Let x be (8\/(-14))\/(33\/(-693)). Suppose 23*q + x = 22*q. Is q less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 934, 926, 922, 922?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((1 - (2 + 0)) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/8 - (-990)\/(-2310)*28\/(-6)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 4*c**2 + c**2 + (2*c + c - c)*(0*c - 5*c + 3*c) + 0 + 0 + c**2 + 3*c - 2*c**2 - 3*c + (c + 3*c - 6*c)*(-3*c + 5*c - c))*(-10*c + 0*c + 3*c).\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s\/(s**(1\/11)\/s))\/(s*s*(s\/(s*(s\/s**(-1\/3)*s)\/s)*s)\/s)**(2\/13) assuming s is positive.\nAnswer: s**(3349\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g - 2 + 2)*(5 + 0 - 4)*(2*g - g**3 - 2*g).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232683709733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27665 - 19395 = -26*n. What is n rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 1082.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i)*(53*i + 0*i - 23*i) - 4 + 5*i**2 + 4.\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8188183594*u**2 - 4094091791*u**2 - 4094091801*u**2 + 37*u**3.\nAnswer: 37*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2006 != -1871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-19))\/n*(((n\/n**(24\/11))\/n*n)\/n)\/n*n*n*n**(-27)*n*n**16 assuming n is positive.\nAnswer: n**(-321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 12. Let m be g\/((-55)\/19 + 3). What is the greatest common factor of m and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1742250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c + 1. Suppose -3*b - b + c*t = -644, 0 = -2*b - 2*t + 310. Let q = b - 31. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414976 = -12896*g + 479*g - 3855*g - 8096 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.002, 972, 0.9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 240564 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 6. Let o = -31.5 + 52. Let j = v - o. Which is the third biggest value? (a) j (b) -2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1254, 1265, 1282, 1305?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 3*b**2 - b**2)*(-2*b**3 - 1 + 1) + 2*b**5 + 2*b**5 - 3*b**5 + 2*b**5 - 6*b**5 + 11*b**2 + 5*b**5.\nAnswer: -2*b**5 + 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d**2 - 1. Determine x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95 - (39 + -14 - 74).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137657.\nAnswer: 13, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17048.3974 rounded to the nearest 100?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 505*c - 25371. Calculate o(50).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 14*c + c**2 + 3*c**2 + 8*c.\nAnswer: 4*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 4*x**3\/3 - 2*x + 1. Let m be r(2). Let z be (3\/m)\/(9\/(-12)). Which is bigger: 8 or z?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 7. Let t be n(-7). Suppose 3*u - u - 5*h = 3, t = -5*u + 2*h + 39. Calculate the least common multiple of u and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 3*b + 7*b)*(b**2 + 1 - 1)*(-4*b**2 + 7*b**2 - 2*b**2 - 28*b).\nAnswer: b**5 - 28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.92 + -1. Let z = 26.42 - 26.5. Let r = z - a. Is 1\/5 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 637, 2547, 5731, 10189, 15921?\n\"Answer: 637*b**2 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - k + 4*k - 21 = 0, -5*g - 3*k = -45. Suppose 3*q - 4*q = 0, -5*s + 5*q = -10. What is the remainder when 9\/1 + (s - 1) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -92?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2507 - 25187\/10. Calculate the common denominator of (-255)\/12*(-1)\/(-2) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/180 - f**4\/36 + f**3\/6 - f**2. Let j(r) = 0. Calculate r.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(-9) - -3)\/((-15)\/(-270)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37645 is divided by 6270?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-13)\/(-2)*2. Let s(k) = 19*k - 223. Let b be s(11). Let j = h - b. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.35\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 41 = -43. Let f = t + -22. Solve 0 = 3*k - f - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h - 12. Let z be ((-6)\/(-4))\/(h\/(-16)). Suppose z*x + 8 = b, -4*b + 2*b + 28 = -2*x. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5534.739509 - 10130.899407. Let o = 4597.26 + c. Let z = 1.1 - o. What is z rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10548*k + 893. Is n(-2) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, 6\/23, 3 in decreasing order.\nAnswer: 4, 3, 6\/23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6787319*x**2 + 7964*x - 7964. Let o(s) = 5966*s**2 + 7*s - 7. Determine -7964*o(i) + 7*u(i).\nAnswer: -1991*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 670308134 + -460376195. Suppose 4*v + r = 2*q - 58468071, -v - 67100015 = -3*q. Round v to the nearest 1000000.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 6*c. Let z be l(-3). Solve 2*o + z*o - 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}