diff --git "a/data/dm_maths/full_data_1/2037_11255.jsonl" "b/data/dm_maths/full_data_1/2037_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2037_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express 79*z**3 - 4*z + 150*z**3 - 254*z**2 + 254*z**2 in the form y*z + b + c*z**2 + l*z**3 and give l.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -55?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -135.85*21485\nAnswer: -2918737.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/22 and 14\/(-24) + (0 - -4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000275 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 7*p**2 + 5*p + 3. Let g be d(-4). Suppose -37*a + 46*a + 18*a = -1269. Let l = a - g. Calculate the smallest common multiple of l and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*p - 753 = -191, 4*v - p - 732 = 0. Let o = v + -178. Let m(h) = -h**3 + 6*h**2 - 6*h - 3. Determine m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 j when three letters picked without replacement from nnnhbbhjbagg.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) - (-432)\/(-56). Let g(f) = -f**2 + 6*f + 1. Let h be g(7). Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 852, 856, 862, 870, 880, 892, 906?\n\"Answer: n**2 + n + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:57 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1808)\/(-112) - (-2)\/(-14). Suppose -f*a = -11*a - 15. Calculate the remainder when 19 is divided by (-4 - -14)*a\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 116*r**2 - 7 - 400*r**2 + 166*r**2 - 9*r + 116*r**2. Determine k(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2217*p + 13309. Let b be l(6). Solve -5*o - 71*q = -72*q + b, -4*o = 4*q - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 19 = -3*w, 4*q = 5*w - 0*q - 11. Let z be (-4746)\/(-36) - w\/6. What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - (-18 - 2)\/5. What is the smallest value in 3, q, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*-3*-4*(0 + sqrt(11)))**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/4 - 39*h**3\/4 - 73*h**2\/4 + 39*h\/4 + 37\/2 = 0?\nAnswer: -37, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 5*q - 4. Let d be f(-2). Suppose 4*h - p = -1 + d, -24 = -h + 5*p. Let y be 38\/14 + (-4)\/(-14). Put 0, h, y in decreasing order.\nAnswer: y, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0*t)**(-36))**(-44) assuming t is positive.\nAnswer: t**3168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 28. Solve r = -3*x - 2*j, 0 = -x + j + 3*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 1:09 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2. Suppose 2*a = 4*l + 4*a - 16, -20 = -5*a. Suppose l*b + 5*d = 4*b + 1, -3 = -4*b + 5*d. Let q(x) = -b + 4*x + 2 - 3*x. What is y(q(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48162 and 501779.\nAnswer: 453617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7171, 7473, 7977, 8683, 9591?\n\"Answer: 101*v**2 - v + 7071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205633 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282060 - -60367. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in minutes?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 0.1, -81, 13, 4, -2\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 16*m. Suppose -5*d + 20 = -10. Let y = -818 + 1824. Let i(t) = -1006 - 5*t + y. Determine d*n(p) + 20*i(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from pvppvppppvpp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 - 3*v + 36475*v**2 - 36682*v**2 - v**3 + 4*v = 0.\nAnswer: -207, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61\/90 + 5\/18. Let j = -0.254 - -0.094. Let h = 0.56 + j. What is the closest to u in 4, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 36*c - 7. What is n(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40609f (base 16) to base 6.\nAnswer: -230232331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*f - 1789 - 7153 = -307. What is the remainder when 721 is divided by f?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11955335129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/16)\/((-144)\/(-768))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2478765888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 0)*(3 - 1 - 1) + 0 - 1 + 3)*(-3*k - 2*k - 6*k).\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/15771 and -88\/15771.\nAnswer: 15771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183738?\nAnswer: 2, 3, 113, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.702 to 1 decimal place.\nAnswer: 220.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-20) + (-19)\/(-4). Solve -w - m = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 263*h*l - 61*h*x**3 - 9*l*x**3 + 6*l + 47*x**3 - 1 wrt h.\nAnswer: 263*l - 61*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6898 times -24?\nAnswer: -165552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -13 + (5 - -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4574 + 2901. What is j rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/6 (b) -0.2 (c) -14 (d) -2\/7 (e) 18 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 24*i**2 + 141\/7*i - 3\/7*i**5 + 78\/7*i**3 + 6\/7*i**4 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 15. What is k(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1, -3, 2, 490 in descending order.\nAnswer: 490, 3, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*j - 17 = 0, -2*y + 5*j = -7*y - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 19 (b) -2 (c) -0.034 (d) -340\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.05 + 0.057\nAnswer: 1.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/10 - 49*n**4\/2 + 48*n**3 + 292*n**2 - 2014*n. Factor t(a).\nAnswer: 2*(a - 146)*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 3790 = -10*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193118168813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42, -53, -72, -99, -134, -177?\n\"Answer: -4*b**2 + b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*p - 2 = 0, 130*a = 127*a + 3*p - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12577 is divided by 5812?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (4 - 5 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 at least as big as -4742\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/4833 and 85\/3759.\nAnswer: 33831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -40*o. Let f(l) = 503852*l**2. Calculate f(t(z)).\nAnswer: 806163200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:24 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16330 is divided by 277?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Suppose -v*s = s + 42. Calculate the common denominator of 11\/7 and 3 + -4 - 11\/s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = -12. Let n = -50\/27 - 2249\/54. Find the common denominator of n and (-9)\/g*(-13)\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-12))\/((-60)\/450). Let h = -0.1 - 0.3. Which is the closest to 1? (a) j (b) h (c) 23.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j + 5*j + 2*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 91.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*r**3 - 20*r**2 + 476*r wrt r?\nAnswer: 84*r - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 5. Suppose -28 = -g*v + 62. Let x = v - 14. Calculate the smallest common multiple of x and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 + 17)*(-2150 - 2148 + 4289 + 49*g**2) as h + j*g + i*g**2 and give h.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-3)*4\/24)\/(6\/40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585571 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.041 + 87.041. Let y = w - 97.2. What is y rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/72 - 3\/(27\/(-6))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -387, -390, -393, -396, -399?\n\"Answer: -3*n - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3615, -12017, -20419, -28821, -37223?\n\"Answer: -8402*r + 4787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 1. Suppose 0 = -2*d + 4*d - 8, 2*d = 3*k - 1. Let b be r(k). Let x = -25 - -46. What is the highest common factor of x and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 + 75*h**2 - 201*h - 22. Give p(-40).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05808 + 6.87308. What is r rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34418 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6*(0 - -1). Suppose 54 - 54 = 26*r. Let j = 0.7 - 0.5. Sort -5\/6, j, v, r in decreasing order.\nAnswer: j, r, v, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**20\/l)*(l**(3\/7)\/l)\/l)**(9\/8))**(-3\/38) assuming l is positive.\nAnswer: l**(3699\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57255 - 25?\nAnswer: 57230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-9)\/((-135)\/(-48)) and -5\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from oorror?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moe when three letters picked without replacement from {o: 5, v: 5, e: 7, m: 2}.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 101, 138, 165, 176, 165, 126?\n\"Answer: -n**3 + 4*n**2 + 36*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 140*c**2 - c + 14. Let n(p) = 280*p**2 - 2*p + 30. Let r(y) = -6*n(y) + 13*z(y). What is the hundreds digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 311037577 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 582*q**4 + 8433*q**3 + 19806*q**2 - 8436*q - 19224 = 0.\nAnswer: -2, -1, 1, 18, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 21744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 254.\nAnswer: -1\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (54\/21)\/6 - (-39)\/315*3\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -31. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 185 and -19633855.\nAnswer: -19633670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Let x(r) = 0*r - 2*r - m*r**2 + 2*r**2 - r**3 - 2. What is the units digit of x(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1825 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/5 + 13\/10. Which is the closest to 5\/4? (a) -2 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837716 is divided by 418755?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 4*p + 24, 7 + 1 = 2*l - 3*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8976 - 5119. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - h + 5*h = -75, 0 = -c + 4*h - 1. Suppose y - 247 = -c. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/35*2*(-2)\/(-8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0 + 2. Let p be (0 - i)*(4 + -4). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*(-3*28\/1218)\/((-6)\/(-24)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d35 + 643?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32809300.9 rounded to the nearest one hundred thousand?\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4 + 6. Let j(u) = u - 4. Let z be j(y). Let o be z - (-3 + 0 + 19). Is o > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**3 + 12*u**2 + 3*u + 17. Let m(r) = -7*r**3 - 8*r**2 - 2*r - 11. Let b(o) = 8*m(o) + 5*y(o). Suppose -537*s = -543*s - 18. Calculate b(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4807267669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w)*(-2*w + 2*w - w**2) + 8*w**3 + 0*w**3 - 5*w**3 - 4*w**3 + 3*w**3 + 0*w**3 + 36 + 6*w**3 - 36 + (2 + 0 + 0)*(6*w**3 - 4*w**3 - w**3).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 + 4*v - 18. Let i be s(-5). What is the greatest common divisor of 1054 and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131142 - -4033?\nAnswer: -122104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - -1) - (3 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -827, -1847, -3283, -5141, -7427?\nAnswer: -10147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19725 + -13344. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.24281 months to millennia.\nAnswer: 0.0008535675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 2*x - 2. Let v be m(-2). Suppose -3*i + 298 = -5*d, v*i + 2*d - 190 = d. Suppose -i - 17 = -l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9632 + -48158\/5. Which is the closest to v? (a) -1\/6 (b) -15 (c) 2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22376 is divided by 1600.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 1 + -255 + 246.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 9*j + 9. Let y be c(-9). Does 14 divide (-2)\/y - (-598)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + -11314?\nAnswer: -11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -y + 12, -3*y - s + 65 = 21. Let g = 19 - y. Suppose -6*q + g = -q. Solve -q = -2*x + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aokag. What is prob of sequence ok?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -42944.6\nAnswer: 214723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16063 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*s - 318966 + 318965 + 24*s.\nAnswer: 254*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27) + (-20)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 10*u**2 + 10*u - 5. Let i be q(10). Find the second derivative of 3*w - i*w**5 + 93*w**5 + w**2 - w**2 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*y - 152*y + 17*y + 111*y**2.\nAnswer: 111*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439885324.\nAnswer: 2, 109971331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, u: 1, v: 5, b: 2, t: 2}. What is prob of sequence vt?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -298*q**5 - 8048*q**4 - 40284*q**3 - 57784*q**2 - 25418*q - 168 = 0. What is q?\nAnswer: -21, -4, -1, -1\/149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44090, -176327, -396728, -705299, -1102046, -1586975, -2160092?\n\"Answer: -h**3 - 44076*h**2 - 2*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16364 and 66.\nAnswer: 540012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -6*q**5 - 5*q**3\/3 + 14*q**2 - 1570*q. What is the second derivative of p(v) wrt v?\nAnswer: -720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3\/6 - 36404*p**2\/3 - 2988574*p\/3 + 2040920 = 0.\nAnswer: -84, 2, 72890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12*a**2 + 2*a + 4. Let q(o) = 24*o**2 + 5*o + 9. Give 5*c(f) - 2*q(f).\nAnswer: 12*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**2 - 1. Let s(j) be the second derivative of -17*j**4\/4 + 133564*j. Give o(s(u)).\nAnswer: -102*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (2 + 3)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -828*f**3 - 6*f**2 - 13*f + 19. Let o(h) = 2484*h**3 + 17*h**2 + 37*h - 54. Calculate -17*m(a) - 6*o(a).\nAnswer: -828*a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.395289603 + -8.\nAnswer: -23.395289603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224451726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0 - 36. Let x be 18\/2 + -13 + r. Let k(i) = i**2 - 3*i + 3. Let u be k(2). Sort u, -1, x.\nAnswer: -1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132510000 rounded to the nearest 1000000?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2954 divided by 14.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = 3*j, 0 = -2*u - 2*u - 4. Let q(m) = j*m**2 - 7*m + 7*m. Let c(p) = -2*p**2. Determine q(c(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10651*c**4 + 39895*c**2.\nAnswer: 255624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 3. What is the tens digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/9558 and 49\/19116?\nAnswer: 19116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17011 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 30. Let z(p) = 58*p**2 + 71*p - 210. Calculate 7*x(g) + z(g).\nAnswer: 51*g**2 + 71*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 10*n**2 - 104*n. Let s(a) = -a**3 - 7*a**2 - 69*a. Let y(b) = 5*c(b) - 8*s(b). Find the second derivative of y(m) wrt m.\nAnswer: -12*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:27 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 12612\nAnswer: 1\/2102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/6 + 391*u\/2 - 160363\/3 = 0. Calculate u.\nAnswer: 434, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1639*h**3*t - 478*h**2*t**3 + 5*h*t**3 - 3*h - 16770 wrt h.\nAnswer: -9834*h*t - 956*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 19*p - 101. Let t be j(29). Suppose 0 = -t*h + 185*h + 784. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.9349 nanometers to kilometers.\nAnswer: 0.0000000007289349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20007528 + -31170428. Round n to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let l(h) = 2*h**2 + 80 + 90 - 54 + 86 + 37. Determine l(u(t)).\nAnswer: 2*t**4 + 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28280 by -8.\nAnswer: -3535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113893 is divided by 3336.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 44.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5058\/(-174) - -15) + 7 + -7 + 14?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - (-7)\/(-21). Let y(g) = 3 - g + l*g + 0*g. Let c be y(4). Put 3, 0, c in descending order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2 - 5*w + 2*w**2 + 3*w + w**2 - 2*w**2. Let r be b(3). Put 1, r, 0 in ascending order.\nAnswer: 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 2*y - 1. Let a(j) = 16*j**2 + 20*j**2 + j - 35*j**2 + 0*j + 0*j. What is -5*a(p) - 4*r(p)?\nAnswer: -p**2 + 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 7*f - 5. Let m(r) = r**2 + 7*r + 5. Let h(a) = -4*b(a) - 3*m(a). Suppose 2*k + 9 = -1. What is h(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676600 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-2*h + 4*h - 3*h) - h - 2*h + 4*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (15 - 7 - 11) - (-11 - 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 184*q - 546. Give h(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 92 = 5*g. Let s = g + -39. What are the prime factors of (-1)\/(s\/(-16)) - (-6)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -178588*-0.4\nAnswer: 71435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31574\/5 + -6314. Let x = 2 + -7. Put x, -2\/37, m in decreasing order.\nAnswer: m, -2\/37, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:39 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 4*i + 4. Let w(f) = 6*f**2 + 3*f - 3. Let c(a) = -3*r(a) - 4*w(a). Let k(g) = -50*g**2 + 1. What is c(k(n))?\nAnswer: -67500*n**4 + 2700*n**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 37 = -q, -q - v - 13 = 2*v. Calculate the remainder when (-2)\/(-5) + (-565)\/q is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w**(-1\/3)*w))**(2\/45))**8*(w**(-1\/3))**(-23)\/(w**5\/(((w**(-1\/4)*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(89\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -21*a + 49*a - 30*a. Let q(h) = -15*h. Give y(q(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + -1*sqrt(1539) + sqrt(1539) - (sqrt(2299) + sqrt(2299) + 1*sqrt(2299) + 1))**2.\nAnswer: 264*sqrt(19) + 20706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 31622, -1, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2709 and 2003.\nAnswer: 5426127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41708, 41709, 41710?\nAnswer: 41711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-35))\/((-1)\/105). Let x = -2 - p. What is the remainder when 197 is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8563*y**2 + 97*y - 411. Is m(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24256006)\/20 + (-948)\/(-3160). Round s to the nearest ten thousand.\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000275266668 to six decimal places.\nAnswer: -0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 12*k = 3*q - 159, -109 = -2*q + k. What is the greatest common factor of 112 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 17*t = -45*t + 81, 2*t - 9 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 6*n + 2. Let h be d(-5). Suppose 2*b = 4*a + 16, 0 = -4*b + 9*b - 5*a - 45. Suppose h*f - b = 2*f. Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {s: 7, n: 1, b: 1, j: 3}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 1, r: 3, n: 3, e: 2, s: 4}. What is prob of picking 1 g and 2 r?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4538 - 1833. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*3\/12)\/((-3)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-16 - (-32 - 19))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7 - 58.9. Let x = c + 62. What is x rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 20 (b) -78 (c) 286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101011111 - 110001110100011?\nAnswer: -100101001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j - 8. Let q be 5\/((-10)\/j) - -56. Calculate the highest common factor of q and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 52 (c) -0.594 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8666 - -8671. Let z(d) = d - 16. Let h be z(5). Put h, f, 7 in decreasing order.\nAnswer: 7, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645362 is divided by 322664?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y - 72*y + 29*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 9:18 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -386*i**2*w**2 - 39480*i**2*w - 1178359*i*w**2 - 28*i*w wrt i?\nAnswer: -772*w**2 - 78960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 + 0*b**2 - 2*b)*(-9 - 8 + 32).\nAnswer: 15*b**2 - 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000737 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let n be (3\/2)\/(3\/4). List the prime factors of n - -3 - (-1 - a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10005 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaoappaoonaaanppno. Give prob of picking 1 o and 1 a.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-120) + (-7)\/130?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 87*o + 1197. What is the remainder when 66 is divided by a(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.08, -2, -158, 2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 434 - 137 = 4*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2176 and 384?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s - b + 18 = 0, 3*s - 4 = 4*b. Suppose -5*g = -s*g - 23. Suppose 0 = 3*o - 136 - g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.64 - -0.74. Let g = 129 + -107. Let y = -34 + g. Is y greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 364 + 9?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -58. Suppose 0*y + 4*r + 144 = 4*y, 9 = s*r. What is the remainder when y is divided by ((-3)\/(-1))\/(3\/21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6*i - 9 + i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 7*c**2 - 4*c**2 + 0*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 5 = -r. Solve r*z + 2*p = 0, 9*p = 4*p - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422 times 36.2\nAnswer: -51476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*r - 151 = -13*r. Is 1\/4213 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52394 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366 - -366. Let o(t) be the third derivative of 0*t**4 - 1\/2*t**3 - 1\/12*t**5 + 6*t**2 + 0 + u*t. What is the derivative of o(m) wrt m?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10349 and 2292107.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -449*h**2 + 1786*h + 4. What is j(4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**3*f**3 - 5*d**3*q**2 + 2*d**2*q - 570*f**3 + 2*f**2*q**2 wrt d?\nAnswer: 66*f**3 - 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195557737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-21)*1\/(-4). Let l = 2.8675 + 0.1325. Sort l, h, -3, -4.\nAnswer: -4, -3, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 - 88*w**3 + 2*w + 115*w**3 + 3*w**2 - 87*w**3 to the form z*w**3 + o*w + y + g*w**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-5 - (-2 - 2))) + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 765984175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 17 = -2*r, -7*r + 3*x = -2*r - 4. What is the second biggest value in r, 1\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 15*s - 34. What is the remainder when l(9) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2 + 9*b - 1. Let u(r) = -2*r**2 + 2*r. Let z(t) = 2*g(t) - 11*u(t). Let m(l) = l. Give -4*m(s) - z(s).\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -48 + 14*m**2 - 14*m**2 + 12 + 35*m + m**3. Differentiate g(c) with respect to c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 2*n**5 + 2*n**4 + (-55 + 52*n - 54*n + 1118)*(6*n**4 - 3*n**4 - n**4).\nAnswer: -2*n**5 + 2126*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 403921253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.3. Let w = 99.9 + -100. Which is the nearest to w? (a) -2 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lala when four letters picked without replacement from {z: 3, g: 5, a: 2, m: 5, l: 3}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.717043322 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 254\/1778 + 1\/((-21)\/(-123)). Solve -2*z + u*z = 2*a - 6, -3*z + 4*a + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6304 and 3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53448 = -1722*n + 3949*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.36298um to centimeters.\nAnswer: 0.002236298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95) + 6*(sqrt(95)*-2 - sqrt(95)) + sqrt(95) + sqrt(95)))\/(sqrt(180) - (sqrt(180) + (sqrt(180) - (sqrt(180)*1 - sqrt(180))*-3) + sqrt(180))).\nAnswer: -15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -11, -3, -1.\nAnswer: -11, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -2 + (32 + -47 - (0 + 2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b**2 - 10*b**2 + 25*b**2. Let r(n) be the second derivative of n**3\/3 + n. Give m(r(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*x - 4, x + 0*x - d - 2 = 0. Suppose -3*v = -x*v - 5139. Let c = v - 3341\/2. What is the common denominator of c and -41\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1584 + 3309. Is 69 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -4, 5, -224, 0.\nAnswer: -224, -4, 0, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1031\/3 or -661?\nAnswer: 1031\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 15*g**2 + 15*g + 21. Calculate o(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87, 90, 93, 96, 99?\n\"Answer: 3*q + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from orjookkook.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 1860*o**4 - 8068*o**3 + 29864*o**2\/3 - 7568*o\/3 + 32\/3 = 0.\nAnswer: 2\/465, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 187, 277, 369, 463?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3248, -6207, -8722, -10637, -11796, -12043, -11222?\n\"Answer: 26*t**3 + 66*t**2 - 3339*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -130. Suppose -2*z - 3*z = 0. Suppose -f + 26 + 24 = z. Calculate the greatest common divisor of p and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 27*y + 15. Let q be k(13). Let n be (3\/(-3))\/(1\/(-4)). Suppose 30 = 2*t - 4*z - 4, 0 = -n*t + q*z + 38. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1474, 29, -3, 0 in descending order.\nAnswer: 1474, 29, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 - 5*t**4\/12 - 13*t**3\/6 - 2*t**2 + 22*t. Determine l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v - 4. Let x be n(4). Let m be 56\/(-10)*((-660)\/8 + -5). Suppose x*w - 7*w = m. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49434311810.46 + -49431230131.970111. Let y = 3081677 - o. Let v = -1.49 - y. Round v to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68788.\nAnswer: 2, 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 7, i: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -y + 71, 2*n + 3*n - 94 = -3*y. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {n: 2, z: 3, p: 3}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6025 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*3\/6 + -1. Let i be (-9 - -1680)*a\/(-6). Suppose -4*j + 0*v + i = 5*v, -4*j + 3*v + 581 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n**3 - 111*n**2 + 245*n + 54. Give z(-12).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 92*r - 599. What is l(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**6\/l)\/l**(-1))\/((l*l*l\/l**(-6)*l)\/l**5))**(7\/8) assuming l is positive.\nAnswer: l**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 + 0.38. Let x = 0.06 + b. What is the closest to 1 in x, 5, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 6*s - 6. Let m(d) = 5*d**3 - 41*d**2 + 41*d + 31. Let l(w) = m(w) + 6*x(w). Let h(v) = v**2 - v + 1. What is 10*h(y) + 2*l(y)?\nAnswer: -2*y**3 - 72*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7106 = 3*u + 28106. Round u to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*o*v + 6*g**3*o + 13406*g**3*v + g**2*o - 3*g**2 + 7*g*o*v + 6*g*o - 13*o*v wrt g?\nAnswer: -12*o*v + 36*o + 80436*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 2*d + 193 = 0, 352*a - 349*a + d + 46 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72894537 or -72894538?\nAnswer: -72894537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 3*i. Let u(k) = 32028*k**2. Calculate c(u(y)).\nAnswer: 3077378352*y**4 + 96084*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggaaul. Give prob of sequence lg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*w = -7*w - 2, -5*w - 10 = 0. Solve -p*t + 10 = f, 5*f = -0*t - 2*t - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 775 = s + 2*s, -4*s + 1045 = 5*a. Suppose -s = -0*w - 5*w. Let c = w + 97. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347242 divided by 2\nAnswer: 173621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**5 - v**3 + v**2 - v - 1. Let o(h) = 4*h**5 + 5*h**3 - 10*h**2 + 5*h + 5. Let m(l) = -o(l) - 5*y(l). Find the third derivative of m(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-10)\/(-6) - 1). Let c be 8\/h - (-14)\/(-21). Suppose -6*d - c*q = -3*d - 42, -4*q = -2*d + 44. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -143. Let d = 79 + x. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -41*y**2 - 2524*y + 52. Let x(o) = -8*o**2 - 505*o + 10. Determine 6*n(w) - 31*x(w).\nAnswer: 2*w**2 + 511*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 48 = -36. Suppose 2 = -r + u. What is the greatest common divisor of r and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*r = x - 266*r - 278*r - 32, -123*x + 0*r + 4*r = -253 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.939 millilitres to litres.\nAnswer: 0.299939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.14 and 41982.\nAnswer: -89841.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffgfgffmumf. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 4*i + 1\/8*i**3 + 0*i**2 + 1\/32*i**4 + 0. Determine m so that y(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28314, -56848, -85382, -113916?\n\"Answer: -28534*c + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56698 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2*(-6)\/(-4). Let d = -1631 + 1640. Solve 3*u = a*u - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -407*a**2*f**3 + 607*a**2 - 96*a*f**3 + 12158*a*f wrt a?\nAnswer: -814*f**3 + 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 679 - 678.999235. What is o rounded to five decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2669846 (base 11) to base 16\nAnswer: -4658df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7031, 7332, 7633?\nAnswer: 7934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f. Let v(h) = -7*h - 8. Let t be v(-11). Suppose -19 = 5*x - 5*o - t, 0 = 2*x - 3*o - 24. Let r(d) = -2*d - x*d + 13*d. Give g(r(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 337 + 74?\nAnswer: 3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2567.2559 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 411*c**4 + 141.\nAnswer: 1644*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.0351 + 0.0149. Round g to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 12:37 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + (sqrt(252) - (sqrt(252) + (1*sqrt(252) - sqrt(252)))) - (-1 + sqrt(252) + 1))**2 - ((2 + 2 + sqrt(252))**2 + -4))*-2.\nAnswer: 78 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4877271 and 189.\nAnswer: 14631813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 0*d)*(-4*d**2 + 2*d**2 + 3*d**2) + (3*d - d + d)*(-d**2 - d**2 - d**2).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 207110.\nAnswer: 828440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(3\/21 + (-12)\/(-14)). Which is the second biggest value? (a) 1 (b) -9 (c) k (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7*(-2 + (-45)\/(-21)) and 15\/(-6)*(-24)\/(-20)*-23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 11*l - 13. Calculate u(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 102*p + 5818. What is c(-57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723997.\nAnswer: 723997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**5 - 94703*k**3 - 785761*k**2 - k wrt k.\nAnswer: 420*k**2 - 568218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174827.\nAnswer: 3, 19, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 1, a: 2}. Give prob of picking 1 a and 1 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -43698?\nAnswer: 43693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, w: 1, y: 4}. What is prob of picking 1 w and 2 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 154991\nAnswer: -77495.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjfp. What is prob of sequence xjf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (252\/(-27))\/((-2)\/(-6)*1). Let q be 8\/p - -718*8\/14. Suppose 2*a = 3*c - 0*c - q, -10 = -5*a. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:40 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 11 - (1 + (-91 - -21)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 292 = -4*m, 3*p + 5*m + 97 = p. Let s = p - -60. Put 3, -9, 0, s in decreasing order.\nAnswer: s, 3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 3*t**2. Let v be r(3). Which is the third biggest value? (a) -2 (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t + 2. Let z(h) = -h**2 + 5*h + 5. Let o be z(5). Does 24 divide x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15727, -1487, -18701?\n\"Answer: -17214*k + 32941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -369*m**5 + 10*m**2 + 85*m + 4380. Find the second derivative of x(t) wrt t.\nAnswer: -22140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6299 rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) 4\/17 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2244106561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 - 3*v**2 + 37*v - 11. Give g(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17913109*a**3*k**2 + 1726867*a**3 + 2*a wrt k?\nAnswer: -35826218*a**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**5\/20 + m**4\/4 - m**3\/6 - m**2\/2 + m. Let y be w(-3). Suppose y*f + 1 = 31. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-27)\/129) + (-44)\/(-66). Let u(c) = -l - 20 - c**2 + 35. Let d(x) = 15*x. Calculate u(d(m)).\nAnswer: -225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 18*h - 20*h + 53633, -3*h = 3. Is a a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/sqrt(972).\nAnswer: 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -16 - -6) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:49 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -0.3, 8, 2, 1\/2, -222.\nAnswer: -222, -0.3, 1\/2, 2, 8, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59661278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exi when three letters picked without replacement from xxxxxxxixxe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 877\/165 + -46\/11. Let d = n - 4\/5. Factor 0*c - d*c**3 + 0 + 0*c**2.\nAnswer: -c**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116\/23 >= -34018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(720) - sqrt(5) - (-3*sqrt(25))\/sqrt(5)) + ((sqrt(250)*1)\/((sqrt(10)*-2)\/sqrt(5)))**2.\nAnswer: 14*sqrt(5) + 137\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3065767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/m**(-13))\/m*m**(5\/2) assuming m is positive.\nAnswer: m**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 114. Suppose -5 = -5*y - j*z, -3*y - 2*y = z - 5. Sort 6, y, -3 in ascending order.\nAnswer: -3, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*r**4 + 36*r**3 - 48*r**4 + 22*r**4 + (12*r - 5*r**2 - 12*r)*(-r + 4*r**2 + r).\nAnswer: -21*r**4 + 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p**2 + 2*p. Let w be l(-2). Calculate the greatest common divisor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 5*k + 4. Let l(a) = -2*a**2 + 6*a - 4. Calculate 5*j(x) + 4*l(x).\nAnswer: 2*x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62686050 and 1315?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 + -146.9644. Round r to three decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2674761163 + 5?\nAnswer: -2674761156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1380 and 151\/24.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30315 and 6407?\nAnswer: 36722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.04 and 40\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-315)*(-9)\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-6)\/1318)*(-23 + 20). Suppose -16*m + 77 = -l. Calculate the remainder when 87 is divided by m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by (2530\/(-44))\/((-10)\/24)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 989*o - 62. Let v be w(17). Let i = v - 837517\/50. Find the common denominator of -51\/20 and i.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 171*k**3 + 504*k**2 + 4*k - 672.\nAnswer: (k - 168)*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 673 + -336. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19.2, 0.3, 9, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 371 - 371. Which is the biggest value? (a) -2 (b) j (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**3 - x**2 + 1. Let s(p) = -p**3 - p**2 - p - 1. Let w(j) = -173*j - 5883. Let a be w(-34). Calculate a*s(n) - t(n).\nAnswer: -4*n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9339 is divided by 45?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -892*w**4 - 18279*w**2 - 83102617*w wrt w?\nAnswer: -10704*w**2 - 36558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-22))\/(3 - 4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5 + 0.5. Which is the fourth biggest value? (a) 2\/7 (b) -1 (c) -0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 242*u**6\/15 - 94*u**4\/3 - u**3\/2 + 721*u - 2. What is the third derivative of z(f) wrt f?\nAnswer: 11616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/14)\/(-17)*16\/(-104).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 - 6*x. Let h(p) = 14*p**2 + 17*p. Suppose -r + 17 = -0*r. Give r*w(i) + 6*h(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k + k + (-3 + 2 + 3)*(-2 + 2 + 2*k) + 0 - 6 + 5 - 37*k.\nAnswer: -31*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 8*p - 48. Suppose 5*d = -l + 68, 0*d + d = -l + p. What is the remainder when 27 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/2*(-4 - (-4 - 6)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 25455244?\nAnswer: -25455242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8483*g**2 + 8483*g**2 - 16966*g**2 + 3*g - 6*g**3 + 140*g**3.\nAnswer: 134*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 - 7*u + 5 + 0*u. Let z(i) be the third derivative of 1\/4*i**4 - 9*i**2 + 0*i - 1\/2*i**3 + 0. Calculate 5*c(s) + 6*z(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213454 is divided by 213133.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-2)\/(20\/(-15)) + 9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -32*t - 132. Let g be s(-21). Let z = 546 - g. Solve -3*f + 2*c + 29 - z = 0, 5*c + 45 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 44. Let g be i(24). Let t(s) = 32*s + 1 - 44*s - 5 + 13*s. Give t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2945, -6367, -9785, -13199?\n\"Answer: 2*d**2 - 3428*d + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**4 - l**3 - l + 1. Let m(z) = -50*z**4 - 6*z**3 - 6*z - 39. Let p(f) = -6*j(f) + m(f). What is the derivative of p(y) wrt y?\nAnswer: -176*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Suppose 7 = i*o - 11. Suppose -4*u - 2*l = -l - o, -2*u - 4*l = 6. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 1\/60*m**5 + 0 + 0*m**3 + 0*m - 1\/40*m**6 - 2*m**2 + 0*m**4. What is the third derivative of g(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**4 + 6*s**2 - 3*s + 3*s**3 + 4*s**4 + 0*s + s**2 + s**3 in the form h + g*s**3 + t*s**2 + p*s + w*s**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/12 and -41\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -159*n**3 - 2825*n**2 + 7437581 wrt n?\nAnswer: -477*n**2 - 5650*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10 - -2) + 28\/(-120)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 33*q - 11. Let i be b(-16). Solve 2*w + 3*j = -4 + 14, i = w - 2*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1704 and 169632?\nAnswer: 12043872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-12 + 47 + -17)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 189699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 7*g**2 - 104. What are the prime factors of r(-20)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241920 and 55755?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 218, 718, 1494, 2546, 3874, 5478, 7358?\n\"Answer: 138*f**2 + 86*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-32))\/(7\/(-112))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.05 + -1. Let o = 267 + -267.04925. Let n = o + a. Round n to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, -5, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 740 - 679. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11866158 (base 9) to base 15\nAnswer: 7a291b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.8 + -9.8. Let z = -98.5 - -97. What is the nearest to 0 in h, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = d - 2*d + 6, 0 = -5*d - 10. Let a be 4*(q - -3) + 0. Let p = a - 10. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8416983097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000052646 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.42 + 7.1. Let x = n - 0.08. Put 0.11, -4\/5, x, -0.5 in increasing order.\nAnswer: -4\/5, -0.5, x, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*o - 1115*o - 950*o - 1006*o = -314244 for o.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:04 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c + 2*q - 854 = 0, 0 = -q - 131 + 134 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1038*-53\nAnswer: -5.5014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/16817 - 33648\/117719. Let y be (-1)\/2*2\/(-13). What is the fourth biggest value in o, y, 4, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -10.1. Let y = m + 1.1. Suppose 0*k = 4*k - 4. Sort y, k, -2\/23 in decreasing order.\nAnswer: k, y, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, n: 1, v: 1, k: 4, s: 1}. Give prob of picking 1 n, 1 s, and 2 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 2*p**2 + 0*p**3 + 0 + 175\/24*p**4 - 94*p + 113\/30*p**5. What is the second derivative of j(f) wrt f?\nAnswer: 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/104 - 2\/(-13) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -203212 (base 4) to base 12\nAnswer: -139a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17448*d - 6 = -p - 17446*d, p - 2 = -2*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 - 2677 - 4*m - 8*m**2 + 5*m**2 + 2677 to o*m + x*m**3 + f*m**2 + h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:44 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 165 + 98 + 480 - n.\nAnswer: -n + 891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(108) + 1 + sqrt(108) + 5)**2 - sqrt(108)).\nAnswer: -2808 - 828*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2926 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*1.3.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + 0.17. Let m = -31 - -95\/3. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*-5\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.236.\nAnswer: -0.0708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 582*t**2 + 2*t - 5*t - 583*t**2.\nAnswer: -t*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.417997, 0.2, 3\/221?\nAnswer: 3\/221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -56*n**3 + 6*n**2 - 2*n - 1. Is u(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 635 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3903*a + 120963. What is t(31)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 337*r + 2360. Determine t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3\/277, 1, 15, 0.2, 11, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let u(q) be the second derivative of 3*q**6\/40 - 31*q**3\/6 + 14*q. Let w(r) be the second derivative of u(r). Determine i(w(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/4 + 1 + (-214)\/(-16) and -81\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1535799, 1535785, 1535757, 1535709, 1535635, 1535529?\n\"Answer: -u**3 - u**2 - 4*u + 1535805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikgingqiigni. Give prob of sequence nqi.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(2 + 1 + -3). Suppose 4*t + 2*g - 14 = 0, -t + k + 4 = g. Put 7, -2, t in decreasing order.\nAnswer: 7, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 8 = 0, -9*f + 3*j + 6 = -11*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*k + 5*s, -3*k + 5*s + 6 - 16 = 0. Suppose k = -3*w - w + 2*q + 230, -3*w + q = -173. 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 the hundreds digit of 12852736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 4*w**2 + 4. Let i be s(4). Suppose i*y + y = 15. Do y and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 39 + 11 = 0. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -68*l**2 + 177*l**2 - 90*l**2. Let a(x) = -4*x**2. Determine z(a(n)).\nAnswer: 304*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 172\/3 (c) 5 (d) 4\/5 (e) -5 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 18*c**2 - 15*c + 26. Is j(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 909315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9023977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2731\/9 - -303. Calculate the common denominator of -91\/44 and l.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q + 6*q**4 - 17 - 4*q**4 - 3*q**2 + 8*q**2 - 6*q**2 - 13*q as t*q**3 + b*q**2 + p + s*q + j*q**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(1 - 2 - 1)*(0*f - 2*f + f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-8))\/(6\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3014, 3107, 3262, 3479, 3758?\nAnswer: 4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110015 - 68.2?\nAnswer: -110083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 0*b**3 + b**3)*(0*b**2 + b**2 + 0*b**2 - 2*b)*(-29 + 60 + 57).\nAnswer: -352*b**5 + 704*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -1, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 8:11 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15b5 - 9?\nAnswer: 15aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15390 - 8844. Is 33 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iimmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768245.\nAnswer: 3, 5, 117883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v - 19 - 9 - 4*v + 11*v + v**2. Let p be g(-12). Does 16 divide (-1280)\/p + (-2)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -51 - 5. Let h(u) = -u + 24. Let s be h(17). Calculate the greatest common divisor of m and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*f + 52 = 0, 3*q - 3*f = 30 + 6. Solve 3*l + x = q, 53*l - 56*l = 5*x - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530 rounded to the nearest one hundred?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 51. What is the greatest common factor of h and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6. Suppose l = -k - 8 + 36. Suppose -p - 18 = -2*c + c, 2*c = -p + 24. What is the greatest common factor of k and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 23 + 6 + 10 + -6\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:45 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 128 + 533 = 0. Let w be ((-8)\/(-3))\/((-3)\/d) - 2. Solve 4*v + 3*a = w, 3*v + 3*a = 4*a + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6819185 to the nearest integer?\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299)*-1*-2 - sqrt(2299))*-3 - sqrt(2299)*3*-1*1)**2 + 5)*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from oavdvavroook?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-23))**(-2\/5)*((m\/(m*m**(-2\/23))*m)\/m)**(1\/69) assuming m is positive.\nAnswer: m**(73012\/7935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -108*n**3 + 26*n**2 + 16*n - 29. Let v(x) = -27*x**3 + 6*x**2 + 4*x - 7. Let t(d) = 2*l(d) - 9*v(d). Let f be t(1). Solve f*a = 21*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 9*t**2 + 8*t + 8. Let q be l(-8). Suppose -q = -3*k + 1. Let o(x) = 6*x**2 - 1. Is o(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, n: 3, s: 5}. Give prob of sequence xxs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203371112 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k = k. Suppose k = -10*x + 3*x + 1561. What are the prime factors of x?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5*(-3)\/(-3)*(-21)\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 491 + -1460. Let g = s - -28097\/29. Let c(i) = 5*i + 9. Let u be c(-2). Is g at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8 from -0.095.\nAnswer: 0.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -1 (c) 2\/13 (d) -0.9 (e) -2.023 (f) 3\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 4, l: 1, g: 4, z: 5, c: 4}. Give prob of picking 2 c, 1 g, and 1 x.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2\/15, 2\/15, 4, 2\/31, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -913654 or -913658?\nAnswer: -913654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14839*x**4 - 8*x**3 + 257219.\nAnswer: 59356*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 21*k = 20. Suppose k*d + 0*d = 4*g + 63, -2*g + d = 27. Let y = g - -25. Solve 0 = -4*f - 2*x + 14, 2*x + 3*x = 2*f - y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71994 divided by 2769.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174945431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) -5 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1686?\nAnswer: 674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.755537934 to one dp.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 8*d**2 + d - 532. Let a(x) = -6*x**3 - 36*x**2 + 4*x - 2126. Calculate 2*a(i) - 9*j(i).\nAnswer: -3*i**3 - i + 536","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 3546*q**2 + 2*q**3 + 2*q**3 - 3546*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5153 - -2553. What is k rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/5))**(-1\/8)*(o\/(o*(o**1*o)\/o*o))**37)\/((o**(-1))**(-6\/31)\/(o**(-4)*o\/(o*o\/(o**(-4)*o)*o))) assuming o is positive.\nAnswer: o**(-103253\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/3315*39*4*2\/32*15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*p - 212 = 125*p. Calculate the remainder when p is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 3. Let x(n) = -n + 1. Suppose -12 = 4*p + 2*t + 2, -t = 3*p + 8. Suppose -3*a = -3*m - a + 9, -5*m - 5*a = -15. Determine m*x(c) + p*u(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31158 is divided by 125?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(792\/22)*(-1)\/(2\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u + 704 = 165*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o*o**(-7)*(o*o**(3\/5))\/o**12)**5 assuming o is positive.\nAnswer: o**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m - 31*m + 542*m**2 + 922*m**2.\nAnswer: 1464*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -338*w**3 + 2*w**2. Does 49 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/45)\/((-4)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -8 - (-2 - 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (2529\/1280)\/(-19 - -20) - 0 and -79\/16.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-710)\/(-5680))\/((-2)\/(-144)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 50 (b) 3\/2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -2\/135*u**5 - 1\/36*u**4 + 1\/540*u**6 + 0*u + 0 + 2\/3*u**3 - 13*u**2. Factor r(v).\nAnswer: 2*(v - 3)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvxvxlxvvvvvvlvxvll. Give prob of picking 1 l, 1 x, and 2 v.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372927 is divided by 1008?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*n = -20, 4*i - 3*n - 62 = -0*i. Calculate the remainder when i is divided by 3\/(-9) - 20\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 6*v - 31. Let j be k(-13). Suppose 4*x + 2*r - 42 = 0, 0 = 5*x + 4*r - 0*r - j. Calculate the highest common factor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 5*n**4\/2 + n**3\/2 + 39*n - 1. Let s(p) = -2*p. Give s(o(l)).\nAnswer: -60*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(132 + 259 - 272)*(-f + 1 - 1).\nAnswer: 238*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661864 = -51*o - 86227. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1124443, 2248896, 3373341, 4497772, 5622183, 6746568, 7870921?\nAnswer: 8995236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 392, 772, 1130, 1454, 1732, 1952, 2102, 2170?\n\"Answer: -2*g**3 + g**2 + 391*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 413 + -260. Suppose -o - 48 = -m. Calculate the remainder when o is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = v - 19, 2*p + p - 5*v + 47 = 0. Let m = p + 25. Solve 0 = k + 2*j + m, -3*j + 3 = -3*k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 162 = -5*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3 = 0, -d = 5*u - 3 + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 19*r + 85 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 1. Let o(t) = -5*t - 3. Let m(k) = o(k) + 6*u(k). Let i be m(-2). Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 17*m**3 + 1620*m - 3247*m + 1591*m + m**2 in the form o + h*m**3 + l*m + f*m**2 and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772817.\nAnswer: 137, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 8*n. List the prime factors of (-21)\/n - (-1 - 2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 - n - 8. Let u be i(-8). Let c = u + -174. Round c to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/120 - g**5\/12 - g**4\/8 - 2*g**3\/3 + 2*g**2. Let y be m(6). Solve -4*h + 5*j - 32 = 0, h = -h - 5*j + y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + h - 34 = -4*h, 0 = 2*i - 2*h + 84. Let l = -42 - i. Factor 1\/5*z**4 + 1\/5 - 4\/5*z**3 - 4\/5*z + 6\/5*z**l.\nAnswer: (z - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00264 to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 2*j - 1. Let f(k) = k**2 - 4*k - 6. Let r be f(5). What are the prime factors of x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1258 divided by 2.\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9567272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2*4*(1 + 4). Let u be (-1)\/2 - (-26)\/4. Is m\/2*u\/(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12732 - -6?\nAnswer: -12724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -40, -118, -270, -520, -892?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2087 + 2112. Calculate the least common multiple of z and 19.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337127.\nAnswer: 61, 227, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 84*q - 397. Calculate b(3).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/5)\/(27\/180). Let y be (30\/m)\/((-24)\/3392). What is the tens digit of (-6)\/(-21) - y\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l - 2. Let d be -4 + 9 + -3 + -4. Give f(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347991043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1884 and -1\/628.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 12 - 13. Let c = -72 + 141\/2. Is u at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0347 + -0.035. Round l to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 6*a**2 - 5*a + 6. Suppose 4 + 0 = 4*d. Let u be (-1 - 9)\/(d - -1). Give y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 21. What is the nearest to -1 in a, -2\/25, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6408274 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 3223700*g + 519612084500.\nAnswer: 5*(g + 322370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 11:19 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 100 = -5*u, k - 50 - 3 = -7*u + 120 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/21*-6)\/((-21043)\/26782)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 5)*(2885 - 6*q + 6158 - 3*q - 825 + 8*q).\nAnswer: 4*q - 32872","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1865, -3725, -5585?\nAnswer: -7445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Suppose -14 = -2*a - 2*x, -a + 0*a + j = -5*x. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s. Let m(f) = -11*f - 9. Let u(t) = -5*t - 4. Let z(r) = -4*m(r) + 9*u(r). Let y(c) = -2*c**2 - 4*c. Let w(j) = y(j) - 4*z(j). What is w(l(d))?\nAnswer: -242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1239 and -65\/177.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(102) + sqrt(102))\/((-1*sqrt(12))\/sqrt(2)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57410 is divided by 261.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74a6 + -681?\nAnswer: 6a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15011 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815378?\nAnswer: 2, 373, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 806 - 781. Solve 0 = 100*v - 105*v + x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 13) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513167 divided by 15.\nAnswer: -513167\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (7 + (3 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = -344. Let a(k) = k**2 - 4*k + 2. Let l be a(-5). Let m = w + l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 84*y**3 - 515*y - 516. What is h(-1)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*m**2 + 71*m**2 + 10*m**2 + 2*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -4103.\nAnswer: -4102.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4*6\/48*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 5*q - 9. Let m(c) = c**3 + 3*c - 5. Let w(y) = 2*y - 2. Let i be w(-2). Let z(a) = i*f(a) + 10*m(a). What is the derivative of z(x) wrt x?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -1\/3 (c) 2\/13 (d) -0.9716 (e) 2\/39 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 15 = 50 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9392116*w**2 - w - 3878585?\nAnswer: -18784232","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c = -5*n + 140, 3*c = -5*n + 135. Suppose -o + n = 5*q + 3*o, 2*q = -o + 12. Solve -2*z = -l - q, -8*l - 2*z = -3*l - 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.45, 0.1, 1, 2, -35\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 88*o = -85*o, -4*o = 5*l + 7. What is the nearest to l in -0.1, -1\/3, -4\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**2*t*x + 199*p**2*x + 3*p**2 - 22*p*t + 2*p*x - p - 15*t*x + x wrt p?\nAnswer: -8*t*x + 398*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*z + 3. Suppose -z*a = 4*a - 1988. Suppose -3*g + 103 = -2*g - 3*w, 3*g = 4*w + a. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(((-24)\/(-1107))\/4). Let k = g - -5110. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166.9524 days to milliseconds.\nAnswer: 14424687360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8727 - 8728. Let u(p) = p - 1. Let j(r) = 10*r + 3. Determine x*j(w) - 2*u(w).\nAnswer: -12*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 17. Suppose -5*k + 3 = -47. Let b be 1*11 - (10 - k). Let w be z(b). Solve 4*f + 4*q = -16, -w*f - 5 = q + q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050704521 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5\/2 + 1590*l**4 + 508785*l**3\/2 + 502445*l**2.\nAnswer: 5*l**2*(l + 2)*(l + 317)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 179*h - 17326. Calculate c(-148).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(6\/(432\/4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5.7, 0, -0.3, 1\/9, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 2*d + 2*d - 8, 3*c = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 16*f**2\/3 - 76*f\/3 - 32.\nAnswer: -(f + 2)*(f + 6)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(2299))*6 + -2*sqrt(2299)*-2 + sqrt(2299)*1*-1)**2.\nAnswer: 2503611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 20*i + 25. Let g be b(-11). Suppose 4*p - 4*f - 18 = 3*p, -2*p + g*f + 26 = 0. Solve -4*k - 8 = 3*w, 2*k = 4*w + p + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 less than or equal to -4307\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 86, 174, 262, 350, 438?\n\"Answer: 88*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -31*v + 227. Determine n(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = -3*s + 331, 0 = 3*g - 2*s + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -689 + 2014. Suppose 0 = 3*q + 3*y - 2448, -f = 3*q - 3*y - 3785. Let b = q + -421. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6))**(-32)\/(s*s**(7\/5)*s)**(-1\/21) assuming s is positive.\nAnswer: s**(577\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2492705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(500))*3)**2 + 1 + ((sqrt(405)*2)**2 + (sqrt(10)\/sqrt(2)*-4)**2)*-2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1603630 (base 8) to base 3.\nAnswer: -212101221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74105 by -5.\nAnswer: 14821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -4, 14, 60, 146, 284?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1867431466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 56 = -200. What is the highest common factor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56*3\/(-2))\/(-1). Let m be ((-348)\/10)\/(o\/(-14295)). Let l = -5914 + m. What is the common denominator of l and 73\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/11, -3, -310?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78)*-2 + sqrt(78) + sqrt(78) + sqrt(78)))*4 + (sqrt(78) - sqrt(78)*2*3))\/(4*sqrt(600)*2 - sqrt(600)).\nAnswer: -sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*i + 40 = 0, -3*i + 2511 = 14*z - 2513 + 5022 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 1.774 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2222, 2213, 2198, 2177, 2150, 2117, 2078?\n\"Answer: -3*n**2 + 2225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*f = -348. What are the prime factors of f - 0 - (-1 - -1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*4\/(-10)*(-14)\/(-504)*20?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (321 + -3)*4\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928172299 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(162) + -4))**2 + 3 + 2*sqrt(450) + -5.\nAnswer: -1914*sqrt(2) + 6154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2 + 4*y + 10. Let q be (182\/65)\/((-2)\/(-5)). What is c(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713.097kg to milligrams.\nAnswer: 713097000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooee when four letters picked without replacement from {e: 3, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9\/5)\/(t\/t**(9\/10)*t))\/(t**(12\/11)\/t**(-2\/7)) assuming t is positive.\nAnswer: t**(-3293\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/120 and 62\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1492 = 20*z - 1652. What is the least common multiple of z and 3425?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -124, -246, -368?\n\"Answer: -122*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17979*t**2 - t + 396?\nAnswer: 35958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 4. Let m be z(-2). Let g be 550\/143 + m\/13. Which is greater: g or 32\/7?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 o when four letters picked without replacement from {o: 2, c: 8, r: 1, x: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2175 and 31\/365400?\nAnswer: 365400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145709902 a multiple of 5276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 plus -297.8?\nAnswer: -297.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -510 divided by 255\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 77*o + 190. Let y be b(-13). Let w = 1436 + y. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299867 and 454.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = 7*d - 282. Is 3\/38 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0024 + -0.002631. Round h to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-4)*16\/(-12). Let g = 17 + m. Calculate the remainder when 16 is divided by (3 - 3) + g - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Suppose 3*d = d - 56. What is the remainder when (d\/6)\/(n\/33) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 2, 0.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 9*g**2 - 7. Let s be l(-9). Let j = s - -13. Let b(u) = -u**2 + 7*u + 7. Calculate the smallest common multiple of j and b(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -5 - (-36)\/12. Suppose j = 2*b - 2*s + 4, -3*b + 2*s - 5*s + 6 = 0. Solve 17 = -r + 4*g + 3, b = -4*r + 5*g - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.43118nm to centimeters.\nAnswer: 0.000002343118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*4\/(-16)*8\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - j = 64 + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (19 - (6 + -14) - -46)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 13*q + 24 = 0. Let l(u) = -u**2 + 8*u - 8. Give l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 - (-4 - (4 + -6)). What is the greatest common factor of 54 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -719 + 648. Let x = 12 + -77. Let o = x - a. Solve -5*z - o = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*a + 2*a. Let t be (2\/a)\/(2\/4). What is the second biggest value in t, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 - 284*r = 0.\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 - 3 = 0. Let l = 7 - g. Let a(j) = -3*j + 32. Let t be a(10). Solve 4*h = l*h - 2*w - t, 5*h - 5 = -3*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2202 + 878 = -4*h, 3*h = 9. List the prime factors of a.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 54 - 19\/2*o**2 + 0*o. Let m(s) = -2*s. What is m(q(y))?\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 1) - (8 - -5) - (-25 - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 2*b**2 + 0*b**4 - 29*b**3 + 31*b**3 + 4*b + 3 - 2 as l*b**3 + u*b + p*b**2 + y + s*b**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 28. Let a be -3*v\/6 + -4. Suppose 2 = 3*n + f, 0 = -n - 4*f + 2*f - 1. Calculate the greatest common divisor of n and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2566612 and 1010?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 938 (b) 0.4 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -557753*d**3 + 23*d**2 + 49*d + 70.\nAnswer: -3346518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -456*d. Let p(s) = 2*s. Give u(p(x)).\nAnswer: -912*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 + 9*h + 50. What is c(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34404563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/12 + f**5\/3 - 5*f**4\/6 - 1012*f**2. Let q(d) = d**3 + d**2 - d. What is -3*i(r) + 60*q(r)?\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r. Find the common denominator of r and 41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540817 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1432 divide 308478055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m = 64*m + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/4, 6, -8, -20, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -3 + -85*6\/(-15). What is the greatest common divisor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 355 - 7. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-2))\/(0 + 2). Suppose 96 = -17*g + 130. Suppose g*u + 2*u - 8 = y. What is the lowest common multiple of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 9. Let q be o(-6). Suppose -4*m + 85 = -g, q*m - 65 = 2*g - 0*g. Suppose m*k - 1443 = 18*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/19356 and 93\/10004.\nAnswer: 48409356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 66*r - 71*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -639 - -923. Suppose -4*r = 5*q - 65 - 157, l = 5*r + 3*q. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2024496ml?\nAnswer: 0.0002024496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 7. Let x = 11 + -5. Give j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -562 - -332. Let c = -160 - y. Let k(m) = m**3 + 9*m**2 + 10*m. Let g be k(-7). Calculate the greatest common factor of c and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.85 + -46.\nAnswer: -45.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 19 - 5. Let b = 6 - d. What is the third derivative of -29*f**2 + b*f**3 + 8*f**2 - 4*f**2 wrt f?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -325429961.2000101 - -325429940. Let x = 21.2 + w. Round x to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 3*r**2 + r - 3. Calculate f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 5*o + 3*o)*(-3 + 3 - 1)*(0 - 2 + 0)*(2 + 2 - 3).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 688 and 24.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 336 - 335.9. Which is the second biggest value? (a) 0.5 (b) -0.082 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6*u = 3*q - 35, 7*u = 2*u - 20 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 467 and 4?\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12296 - -12146. Sort 5, -3, l, -5 in descending order.\nAnswer: 5, -3, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304013323 (base 6) to base 16.\nAnswer: 4fc413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 207*n**2 + 5*n - 1. Let c(w) = 103*w**2 + 2*w. Let g(a) = 5*c(a) - 2*h(a). What is the units digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*i = 0, 2*u - i = 6*u - 17. Suppose u*a - 7 = 5. Let p be 5 - (3 + -3 - -3). Solve -a*q - 8 = -p*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 308*v*y**2 + 2163*v*y - 240*y**2 - 21*y - 87 with respect to v.\nAnswer: 308*y**2 + 2163*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.0728 to one decimal place.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219700 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = 3. Suppose -i = -a*i. Let h be -1*1*(-2 + 3). Put h, 5, i in increasing order.\nAnswer: h, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k + 0*k**3 + 1\/120*k**6 - 8*k**2 + 0 - 1\/30*k**5 - 7\/24*k**4. What are the prime factors of s(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 2*j**2 - 3*j - 3. What is y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from iiiccci?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/(-18) - 19\/171. Let y = w + 1. Let d(x) = -4*x + 8. Does 20 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -4 - 3) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -38\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65 + 316?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = 2*o + 8, -5*o = -3*x + 20. Let h be 6*(-44)\/33 - -18. Suppose -h*r + 1610 - 1400 = 0. Solve 0 = -3*k + 5*m + 25, 3*k - r = 3*m - x*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(468) - (1 + sqrt(468))*3)**2 - (5 + 4 + -2*sqrt(1300) + -4)**2.\nAnswer: -3342 + 272*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**4 + 28*l**3 - 49*l**2 - 3. Let k(i) = -9*i**4 - 56*i**3 + 97*i**2 + 5. Let j(q) = 5*h(q) + 3*k(q). What is the third derivative of j(o) wrt o?\nAnswer: -48*o - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31201011331 (base 4) to base 8\nAnswer: -15410575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 + 1 = 0. Suppose 2*m = u - 7. Suppose -76 = -22*h - 186. Sort m, h, 0.3 in increasing order.\nAnswer: h, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8115, 16209, 24269, 32277, 40215?\n\"Answer: -3*c**3 + c**2 + 8112*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 441309\/2 and 0.04 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89269149 minus 139?\nAnswer: 89269010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + 99 + 20 + -112?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**6\/12 + 6*j**5\/5 + 3*j**4 - 17*j**3\/3 - 57*j**2\/4 + 27*j + 5293. Determine v so that i(v) = 0.\nAnswer: -9, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884494119.\nAnswer: 3, 4261, 69193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -4*g - 65 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20959991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 231*b**2 + 46*b**2 + 374*b**2 + (-1 + b**2 + 1)*(4 - 4 - 1) + (-3 + 2 + 0)*(2*b**2 - 2*b**2 - b**2).\nAnswer: 651*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**3 + 6*k**2 + 13*k - 2. Let r be x(-2). Solve 20*a = 9*a - r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -4, -1\/7, -7, -0.051?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 3, n: 1, d: 6, m: 3}. What is prob of picking 1 d and 2 m?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192890239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**4 + 26640*g - 78007 with respect to g.\nAnswer: -28*g**3 + 26640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 1.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 4*i + 2. Calculate b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:03 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1518, 1510, 1504, 1500, 1498, 1498, 1500?\n\"Answer: b**2 - 11*b + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 293\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202707 is divided by 67528.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgutjitu. What is prob of sequence titg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679 is divided by 230.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16872 + 16888.638. What is v rounded to 1 decimal place?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 2*g = 3900, a - 975 = -g. Let r = a + -646. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53524 or -374662\/7?\nAnswer: -53524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -0.88\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/19))\/(s\/s**(-3)))**(-7\/2) assuming s is positive.\nAnswer: s**(385\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 119*u + 127. Let r be d(5). What is the highest common factor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(1088\/(-68))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 6*o + 0*o + 20*o - 22*o. Let d(w) = -2*w + 2*w - 2*w**2. Calculate s(d(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112892332 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -9. Let t(w) = 5*w - 2. Let b be t(r). Suppose 3*q - 14*q = -2464. What is the highest common divisor of q and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*c + 4*p, -24 = -4*c + 3*p - 6. What is the remainder when 173 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-284)\/(-6))\/((-18)\/21). Let u = -55 - k. Suppose 8*y = 12*y - 4. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -135, -138, -143, -150, -159, -170, -183?\n\"Answer: -c**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6001*u**3 - u**2. Let x be n(1). Round x to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*h = -251*h + 121*h + 286 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7832 and 410201.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10303 by -5.\nAnswer: -10303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + 4*a)*(-1 - 3 + 8) - 3*a + 3*a + a + (1 - 1 + 1)*(0 + 0 + a) - 4*a + 4*a + a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 226025699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -41. Let g = -33.0001 - l. Round g to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/188721 and 47\/87102.\nAnswer: 1132326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 36 = 11*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 - -8) - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10087*l**3*x**2 - 2281*l**3*x + 3*l**2 wrt x?\nAnswer: -20174*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 3*c + 12. Let h = 34 - 0. What is the remainder when h is divided by k(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lultyel. Give prob of picking 1 y, 1 l, and 1 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 11*s + 30 = 0. Let r(g) be the first derivative of 2 - 2\/3*g**s + 2*g + 0*g**2. Solve r(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10846 = 7*z - 5452 - 5443 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28036 + 27710. What is the nearest to 0 in -3, 0.5, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**4\/4 - 10*u**3\/3 - 13*u**2\/2 - 23*u - 2381. Determine r(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2115 in -8, 2\/11, -500?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1598828 and 193952?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 7:05 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h. Let d(j) = -170*j. Let g(y) = -105*a(y) - 3*d(y). Let p(b) = -7*b. What is p(g(w))?\nAnswer: 105*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -143346 - 152?\nAnswer: -143508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n + 3*n - 5*n + (-15 - 14 + 34)*(-3*n + n + 0*n) + 2 - 2 + 2*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -59 (b) 4 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14*-1)\/(9499\/8045653).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let c be n*4*(-12)\/16. Suppose -29 + 11 = -c*x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1)*6\/27.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 256, 2\/5, -0.02 in descending order.\nAnswer: 256, 3\/4, 2\/5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1320 and 330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*o + 25 = 4*s, -3*s + 5*o = -49. Suppose -9*n + 19 = -8. Solve p = n - s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 + 198. List the prime factors of 3 - b*((-228)\/8)\/3.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16\/9, -26, -5, 23, 2\/3?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1 + 0 + 1). Suppose p + 5*f + s*f = 22, 0 = 5*p - 4*f - 81. Let j = p + -7. Solve -5*v + 0*v = -j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1552817 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -221360000 rounded to the nearest 1000000?\nAnswer: -221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*150109374.\nAnswer: -750546870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzksmmq. What is prob of sequence mm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d + 3*k, -2*k + 14 = 2*d - 5*k. Let z(r) = r - 2. Let u be z(d). Suppose 6*i = u*i + 4. Solve -2*n = -2*f + 2 - 12, 4*f = -2*n + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u**(1\/2)\/u))\/u)\/u)**(9\/5)\/(u**(-2\/11))**47 assuming u is positive.\nAnswer: u**(1039\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 21. Solve -5*z - h = -12 - 1, -4*h = -4*z - o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 4*u + 2. Let c(a) = -7*a**2 - 10*a + 5. Determine -2*c(s) + 5*l(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-21))\/(8\/(-6)). Let a(w) = 10*w**3 + w - 1. Calculate the remainder when 39 is divided by a(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3 - 82. Let d(a) = -2*a. What is d(n(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/672 and 55\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-130)\/15)\/(2\/(-6)). Let g = -18 + q. Let z = 23 - g. What is the remainder when 29 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10849982 a multiple of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 19*i = t - 902, -t + 4*i + 899 = 0. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -p + 6*p. Let a(h) = h**2 + 12*h - 8. Let w be a(-9). Let u = p - w. What is the highest common factor of u and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151200 to the nearest 1000.\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8561 + 9276. List the prime factors of f.\nAnswer: 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488873 is divided by 2533.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Let i = -2 + d. Suppose i = z - 3, 2*z + 3*z - 31 = -b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {u: 1, i: 7, y: 7, r: 1, n: 3}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(9\/4)*8175\/1090?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12094\/11431 + -76\/71. Let l = c + 177\/1288. Let w be (1 - 0) + -4 + (-15)\/(-5). Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**4 + q**3. Let b(m) = -27*m**5 + 84*m**4 - 123*m**3 + 90*m**2 - 27*m + 3. Let n(k) = -b(k) + 15*i(k). Solve n(j) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5324)*4)\/(sqrt(4)*2*-6 + sqrt(324)*1).\nAnswer: 88*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 230 = 0. Round q to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13030 - 5013?\nAnswer: -21043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -2 - 1380\/(-253)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.4 (b) -3 (c) -3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + 1 + -205 + 201\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.4. Suppose o + 6*t = -8, -105 + 98 = 4*o - t. Which is the second smallest value? (a) g (b) 0.5 (c) -2.2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -6. Let u be ((-44)\/o)\/(40\/(-1812)). Let h = -84516\/85 - u. Find the common denominator of 19\/3 and h.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 - -70. Let b(q) = -3*q**2 + 7*q - 7. Let l(c) = -c**2 + 2*c - 2. Give t*l(p) + 2*b(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 m when four letters picked without replacement from {m: 9, i: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxtozuj. Give prob of sequence tz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2339 + 21053\/9. Which is the nearest to 0? (a) 0.3 (b) p (c) 0.1184 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21933*r**2 + 59*r - 59. What is the hundreds digit of d(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 1385, 3140, 5607, 8792, 12701, 17340?\nAnswer: 22715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32 - 10\/25*15. Solve 0 = -5*r + 46 - s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 24 = 2*g + 3*q, 28 = 2*g + 4*q. What is the remainder when 32 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251553825 a multiple of 700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2735 - -2738. What is the closest to -2\/7 in u, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -271 or -266?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 116*i**2 + 324*i**2 + 11 - 95*i**2 - 126*i**2 to the form a + h*i + g*i**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(78) - -2*1*sqrt(78) - sqrt(78))\/sqrt(6) + 3 - ((3*sqrt(1053)*2)**2 - sqrt(1053) - ((sqrt(1053) + sqrt(1053)*-1)**2 - sqrt(1053))*4).\nAnswer: -37901 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let h = -5 - -10. Suppose -5 - 10 = -h*q. Sort r, q, -5.\nAnswer: -5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205\/10*(3 - (2 + 1) - -2)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = 0, 0 = -3*r + 3*b - 6*b + 51. Solve 0 = 14*n - 10*n - r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.027 and 1.3?\nAnswer: -0.0351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**2 - 2. Let a be t(-2). Let n be 464\/(-18) - 18\/81. Let g = n + a. Solve 0 = 3*w - g + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let g(y) = 328104*y. Give g(x(r)).\nAnswer: -328104*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) - (-9 - (-99)\/22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8610 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*n + 21868 = -495*n - 542*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-184) - (-58)\/232.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.9 + -11. Which is the second smallest value? (a) 0.3 (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-333302)\/205863)\/((-8)\/21).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, k: 2, m: 1, p: 1, g: 1, b: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33225312 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2. Let i(p) be the second derivative of p**3\/6 - 3*p. What is i(n(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.6 (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-13605)*(-90)\/432. Is -1 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, y: 6, e: 1, k: 3, x: 4, v: 2}. What is prob of sequence xen?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -7*x**6\/6 - 31*x**4\/12 - 8*x. Find the third derivative of h(q) wrt q.\nAnswer: -840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33732917 to the nearest integer?\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 108*s**2 - 292*s + 1075. What is the thousands digit of w(104)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 + 6*y**4 - 24*y**3 + 6*y**2 + 21*y - 12.\nAnswer: 3*(y - 1)**3*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 7*h - 2. Let t be y(4). Suppose -x + 3*w = -23, -w - 48 = -4*x - 11. Suppose 2 = 5*v - x. Solve t = -3*l - v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10651073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 575359428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*x**2 - 726*x + 9.\nAnswer: -3*(x + 3)*(81*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 21128*c**2. Let k(a) = a. What is o(k(q))?\nAnswer: 21128*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 3. Suppose -3*s + 5 - 1 = -2*k, s - 23 = 5*k. Let m = 2 - s. Suppose m*p = -p - 20. Let b(i) = 5*i - 8. Give p*b(x) - 11*q(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 15 = -z. Let h = z + 47. Which is the third smallest value? (a) -3\/7 (b) -4 (c) 0.5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/78, 0.05, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {k: 1, y: 1, o: 7, m: 4}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/(-187) + (-4755)\/(-1430) + -5.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 18. Let z be c(-6). Let r(h) = h**2 + 6*h + 6. Is r(z) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 30 = 2*n. Suppose -11*u + 14*u = n. Suppose u*r - 11*r = -32. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*l - 3*l. Let n be l - (-4 - (-32)\/9). Let f = n - 1\/9. Which is bigger: -36 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -101?\nAnswer: 11\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 571113*l**3\/2 + 571115*l**2.\nAnswer: -l**2*(l - 2)*(l + 571115)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139208712 divided by -650508.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(68)*-1)\/(sqrt(24)\/(sqrt(54)*2 + sqrt(54) + sqrt(54))) + 0)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*o = 25, -4*o + o = -5*c - 15. Let t be c + (-1)\/(-3)*(-8 - -17). Differentiate -7*z**3 + 28 + 19*z**4 + 17*z**t - 10*z**3 with respect to z.\nAnswer: 76*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -553*k**2*r**2 - 10*k**2 - 10*k*r**2 + 1255*r**2 wrt k?\nAnswer: -1106*r**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11802 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003196 rounded to 5 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-2*x - 1 + 1) - 3*x + 7 - 7.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b = -16*b - 5*b - 313488. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37260.9 + -37260.5. Let t = -64 - -63.937. Is t smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 - 75*g + 55 - 114 - 2 - 3*g + 2 + 6*g - 4*g - g + (3 - 2 - 3)*(2 - 2 + 2*g) + 2*g + 4*g - 4*g - g + g - 4*g.\nAnswer: -83*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 20*d**2 - 19*d + 27. Let q be g(-21). Calculate the common denominator of 13\/21 and (-28)\/q - (5 - (-44)\/(-10)).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-66))\/((-9)\/15)*16\/(-20).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-24)*((-16)\/60)\/(20\/(-50))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2011318 to the nearest 10000.\nAnswer: 2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 5*o + 55 = 0, 5*o + 13 = -2*k. Solve -k*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxrosottsts. Give prob of picking 1 s and 1 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 5. Let f(s) = -3*s - 7. Let u(m) = m**2 - 6*m. Let g be u(6). Suppose g*x + 20 = 3*x + h, 0 = -5*x + 2*h + 15. Calculate x*f(b) - 7*l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*n = 5*x + 4, 2*x + 2*n = 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 2*u**2 - u + 1. Let j be w(2). Let z(g) = 4*g**3 - g**2 - g. Let i be z(j). Which is the closest to 1? (a) -5 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -732309, -1464771, -2197233?\n\"Answer: -732462*l + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/20 + f**4\/4 + f**3\/2 + f**2 + 4*f. Let h be v(-2). Let b = h - -4. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + p = -4, -2*g = -3*g - 3*p - 12. Determine q, given that -3*q**3 + 0 - 2 + q**3 + 2*q + 2*q**2 + g*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6221572.\nAnswer: 2, 7, 222199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 100*p + 2170. Let r be b(-14). Calculate the greatest common factor of 440 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.4 - -5. Let d be 0*(1 + 1\/(-2)). Put d, t, -5 in descending order.\nAnswer: d, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 75.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 10308*r + 10306.\nAnswer: 2*(r - 5153)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-432)\/45)\/(-24))\/(2\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:47 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776, -1523, -2266, -3005, -3740, -4471, -5198?\nAnswer: -5921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2. Let n(h) be the third derivative of -5*h**4\/24 + h**3\/3 + 6*h**2. Let m(z) = -66*z + 27. Let v(k) = 2*m(k) - 27*n(k). Determine a(v(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*v + 4666 = 8*u, -u = -5*v - 1139. Suppose -1128 = 2*w - u. Sort 4, w, -1.\nAnswer: -1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)\/(sqrt(9)*-1))\/(-5*sqrt(2)*-2))**2 - ((5*sqrt(68) - (sqrt(51) + (sqrt(1275) - sqrt(51)))\/sqrt(3)) + 0)**2.\nAnswer: -42483\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 28 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*w - 35, -3*u + 5*w - 4 = -74. Calculate the greatest common divisor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 3}. Give prob of sequence mllm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 236300*b**3 + b**2 + 4703*b?\nAnswer: 1417800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.68 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Let k be (0 - 3)*32\/(-168). Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173369 times 26?\nAnswer: -4507594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 355*q - 3*q**4 - 355*q + (5*q**2 - q**3 - 5*q**2)*(2*q - 2*q + 2*q) + (2 + 2*q**2 - 2)*(5*q**2 - 2*q**2 - 2*q**2).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-21) + 535\/7. Suppose o = -p + b, p - o = -5*o + 67. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 6*s**3 - 9*s**2 - 24*s - 12.\nAnswer: 3*(s - 2)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from abbbzzarsaz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1232385, 2464761, 3697137?\n\"Answer: 1232376*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((n + 2*n - 4*n)*(-1 + 1 - 4) - 8 + 5*n + 8)*(-143*n - 121*n + 310*n) to the form a*n + w*n**2 + x and give w.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1646660, -1646662, -1646664, -1646666, -1646668?\nAnswer: -1646670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 449 in descending order.\nAnswer: 449, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 70. Suppose -156 = -a*p + 90. Calculate the remainder when p is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/4 - 3*k\/2 - 105\/4 = 0. Calculate k.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -387953648 + -60038\nAnswer: -388013686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 3*t**4\/8 + t**3 + t**2. Let x(o) be the first derivative of -7*o**2 - 9*o + 2165. Calculate -8*f(p) - 5*x(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 83. Suppose -9*p = 2*p - z. What is the second derivative of -15*u + 0*u - p*u**2 - u**2 - 28*u wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0*r - 21 + 0*r + 25 + 2*r**2 - 4*r. Let t(q) = -11*q**2 + 23*q - 23. Give -6*t(i) - 34*u(i).\nAnswer: -2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -10 in increasing order.\nAnswer: -10, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -55. Which is the closest to d? (a) -0.5 (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 - 14439*s**2 + 17395365*s - 52056225 = 0. What is s?\nAnswer: 3, 2405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - 2 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10403 is divided by 4660.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 - -502 - (1 + (1 - (-5 - 0)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3c3e74 (base 16) to base 15\nAnswer: -52ec4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-4*3\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-4))\/((-1)\/4). List the prime factors of 40\/w + 6\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 1. Let s be h(3). Let u be (-2)\/s*(-7 + 1). Let g(l) = 16666*l + 2. Let p be g(u). What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7936009.\nAnswer: 7936009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -1?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 182 = r - 188, -5*r + 3*c = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 419*f**2 + 839*f - 1271. Give h(-421).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2019 (c) 1\/4 (d) -534\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49447)\/985 - 399\/105.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 2*f + 2*f. Let c(x) be the third derivative of 13*x**5\/60 - 369*x**2. Give v(c(h)).\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*z + 516*z - 171*z - 169*z - 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (2 - 4) - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661437565, 1322875131, 1984312695, 2645750257, 3307187817, 3968625375?\nAnswer: 4630062931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/12*(0 + 10). Let z be 1269\/(-15) - 2\/t. Let j = -59 - z. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2353*o + 11776. Let p be v(-5). Let s(j) = 14*j - 173. Give s(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w - 6. Let j be b(4). Suppose 3*s - 199 = -j. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 3, t: 1, b: 6, k: 3}. What is prob of sequence kn?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 11:55 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5))\/((-1)\/(-10)). Let t be (2\/(-10))\/((-1)\/(220\/4)). Suppose 16*d - t*d = 0. Solve 0 = o*i - w + 12 + 2, d = 2*i + w + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 7) to base 3\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 47*z**2 - 244*z - 77. Give u(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 2459169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 38 - 88)*(3*c + 2*c + c)*(4 - 3 - 3).\nAnswer: 1212*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93.1 + -97.1. Let w be 16\/(6 + -2) + 53. Let q = w - 30. What is the second smallest value in -2\/3, 0.1, j, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18271247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115561532?\nAnswer: 2, 47, 97, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -26*a. Let g(b) = 1015*b + 1. Give r(g(f)).\nAnswer: -26390*f - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -852*f - 41. Does 10 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000111000111011 (base 2) to base 15\nAnswer: 1576e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 170724 = 5*z, z - i + 4550 = 38696. List the prime factors of z.\nAnswer: 2, 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1826, -2821, -3814, -4805?\nAnswer: -5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75.51 + 79.253. What is h rounded to one decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 460998*i - 2304991\/5.\nAnswer: (i - 2304991)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -9. Let k = g + -52. Let x = -22 - k. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and 991?\nAnswer: 35676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 115*h + 726 - 2913 = -11*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -474 - -214. Let j = -147 - a. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 5965*v**2 + 23800*v + 23780.\nAnswer: 5*(v + 2)**2*(v + 1189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**7\/126 - z**6\/45 + z**5\/30 + z**4\/9 - z**3\/18 - z**2\/3 - z - 7. What is n in d(n) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r - 2*r**3 + (0*r + 3*r - 4*r)*(2*r - 2*r + r**2) + 3*r**3 - 2*r**3 - 3*r**3 - 52*r**3 + 96*r**3 - 162*r**3 + (-3*r + 3*r - 3*r**2)*(r - r - r).\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273459275 to the nearest integer?\nAnswer: 16537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*n**2 + 1429 - 723 + 69*n**2 + n**3 - 2*n**3 - 722.\nAnswer: -n**3 + 166*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 = 90*c - 84*c. Let o = c - 216. Solve o*s + 15 = -1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64979 divided by 1\nAnswer: 64979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h. Let k(m) = 3*m**4 - 6*m + 3. Let v(q) = k(q) - 6*r(q). Determine g, given that v(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1110100000000110 (base 2) to base 7\nAnswer: 335113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*b**2 - 140*b - 96.\nAnswer: (b - 8)*(19*b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*r + 5694 = -12428 - 7875 + 790 for r.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**4 - 3*s**3 + 7*s**2 + 3. Let o(d) = 18*d**4 + 5*d**3 - 13*d**2 - 5. Let z(p) = 5*h(p) + 3*o(p). Find the third derivative of z(i) wrt i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33800 and 51181.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*i + 7 = -2*i, 0 = 2*i - 10. Suppose 16 = 2*w + 4. Suppose -w*d = -3*d - 3. Calculate the highest common factor of d and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 13*x - 18. Let g be p(4). Let w be (-262)\/(-5) - g - 18\/45. Let c = w + -47. Solve -7*k - 16 = -c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - s - 34 - 44, -2*k + s + 53 = 0. Suppose k = b + 4*b. Let v = b + -8. Let m(x) = -x**2 - 3*x + 3. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*m*t**2 + 2766*m*t - 306743*m wrt t.\nAnswer: 22*m*t + 2766*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 29*l**2 - 74*l - 104.\nAnswer: -(l - 26)*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186324821.\nAnswer: 3, 11, 17, 37, 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -560255 = -11765365\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + (12 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 - 21887352*i - 21887355 = 0 for i.\nAnswer: -1, 7295785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 divided by -260?\nAnswer: -121\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3683 + 3695. Let i(k) = 3*k**2 - 13*k + 8. Suppose -5 = -q + 3. Let s be i(q). Calculate the highest common factor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001110110011 - 10?\nAnswer: -110001110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5460 and 2978890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 620*a - 29. Let l be h(9). Let n = -4449 - l. Round n to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9126 = 88*z + 122*z + 24*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 83\/3. Let i be -74*((-9)\/6)\/(-3). Let n = 116\/3 + i. Which is the third smallest value? (a) l (b) n (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 4, o: 2, y: 1}. Give prob of picking 1 o and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 + l - 4. Suppose 42 = -9*r + 15*r. Let f be x(r). What is the second derivative of 14*u**f - 15*u - 14*u**4 - 14*u**3 wrt u?\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, p: 9, m: 4}. What is prob of picking 1 e and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 - 6*y - 4. Let l(u) = -3*u**2 + 5*u + 4. Suppose -6 = 3*n - 3*g, -3*n - 4 - 14 = 3*g. Calculate n*q(i) - 5*l(i).\nAnswer: -i**2 - i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**8\/168 + 2*l**7\/105 - l**5\/15 - l**4\/12 - l**2 - 3*l. Let o(y) be the first derivative of g(y). Factor o(p).\nAnswer: 2*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(343) - sqrt(343)) + 2 + (1 + sqrt(343))*5 + sqrt(343))**2 + ((sqrt(343)*3*-4 + 4)*-1)**2.\nAnswer: 61820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 - 51*x + 5. Let i be (-22 - -17) + 1*-2. Let d be p(i). Solve -d = 3*k - 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 26 - 10 - 4*d + 4*d + d. Let y be z(11). What is the greatest common divisor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/3 + 5*q**3\/6 + 5*q**2\/2 - q. Let t be 50\/200 - (-69)\/(-4). Let o(w) = -11*w**2 - 14*w - 14. Determine t*s(h) - 6*o(h).\nAnswer: -2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexe. What is prob of picking 3 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 501 + 2025. What is the remainder when u is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, 58, 90, 124, 160, 198?\n\"Answer: u**2 + 27*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1292.257 and -53.\nAnswer: 68489.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 0 + 0 - z**2. Let y(t) = t - 1. Let g(k) = 3. Let s(l) = g(l) + 3*y(l). Determine a(s(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1174212427 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13169?\nAnswer: 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 94*d**2 - 135*d. Determine o(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 + -356. Solve -2*q + 0*u = -u - 6, -q + 4*u - t = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-8 + 4 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1845 and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 55*x - 972. Give j(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 1838.\nAnswer: -60654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/((-159)\/(-18) - (-15 + 24))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 5:46 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.96491605 + 45.85285. Let x = b + -5.88793405. Let u = -6 - x. What is u rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-20 + -7)) + -8 - (-4 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1607*f + 466*f - 11437 - 6819 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 4. Let r be v(4). Suppose r*c - 3*p = 277, -c + 4*p = c - 146. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4308*l**2 + 345 - 345.\nAnswer: 4308*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -14, -25, -50, -95, -166?\n\"Answer: -f**3 + 2*f**2 - 2*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 835.106?\nAnswer: -10856.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125990, 125978, 125966, 125954?\nAnswer: 125942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + 50aa7?\nAnswer: 50a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 7*y + 10. Let v be s(7). Suppose 0 = -2*q + 3*f + 11, 2*q - 3*f - v = -f. Let n = 5 + -1. Calculate the least common multiple of n and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -423.7 from 3.\nAnswer: 426.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c*c**(-6)*c*c*c*c\/(c*c**15)*c\/(((c**(3\/5)\/c)\/c)\/c)*c*c\/c**(2\/29)*c assuming c is positive.\nAnswer: c**(-1257\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24918, -24920, -24922, -24924, -24926, -24928?\n\"Answer: -2*o - 24916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + -100. Calculate the remainder when 153 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*10\/50*895?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 3*g - 8*g**3 - 186 + 6*g**3 + 4*g to s*g + t + y*g**2 + a*g**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/2 - 2115*g**3\/2 - 10539*g**2 - 29482*g - 25260 = 0 for g.\nAnswer: -2105, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**7\/840 - 5*d**4\/12 + 3*d**2. Let x(t) be the second derivative of n(t). Let s(k) = -6*k. What is x(s(p))?\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -19*w**5\/20 - w**3\/6 + w**2\/2 + 90*w. Determine a(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 1\/48*y**5 + 0*y - 7\/96*y**4 + 0 - 3*y**2 + 1\/12*y**3. Determine o, given that j(o) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*m = 72, 0*p + 2*p - 28 = -4*m. Suppose -y + p + 6 = 0. What is the common denominator of 121\/40 and (y\/9)\/((-2)\/(-6))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98\/25 - -1969\/75. What is the common denominator of 79\/15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4*(470490\/(-24))\/(-5))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 2*n - 2*n - 29 - 197841*n**3.\nAnswer: -197841*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -0.279\nAnswer: -20.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936895 is divided by 703?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 4*r**2 - 8*r + 1. Suppose 0*u - 4*h = -u - 38, -3*u = -4*h + 82. Let n = u + 17. What is the remainder when 47 is divided by x(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 447.56 from 585652160.\nAnswer: 585651712.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 3*d - 8*d + 7*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -33.9. Which is the closest to j? (a) -0.3 (b) 3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*a*q**3 + a*q**2 - 97*q**2 wrt q?\nAnswer: 222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -169 + 188 - (-2 - (-4 - (4 - -2))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -13\/4*w**4 + 0 - 41*w + 9*w**2 + 23\/2*w**3. Factor v(d).\nAnswer: -3*(d - 2)*(13*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 139 from -428897712736.\nAnswer: -428897712875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 274095 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: Which is the smallest value? (a) -0.5 (b) -7.4 (c) 2\/11 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 292 = -2*k, -5*g = -3*k - 225 - 261. Let i = 1204 - 1109. Is i > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029904944 to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 188*n**4 - 356*n**4 - 3*n**2 + 8*n**3 + 164*n**4 - 2*n as h*n + a*n**2 + b + r*n**3 + w*n**4 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 + 822*q\/7 + 168921\/7.\nAnswer: (q + 411)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 389824*m + 779647\/2.\nAnswer: (m + 1)*(m + 779647)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:54 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f**18)\/((f\/f**(-8))\/f)**40 assuming f is positive.\nAnswer: f**(-2112\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**3*k)*k)**(-2)*(k\/(k\/k**(-2\/7)))**16)**(-2\/79) assuming k is positive.\nAnswer: k**(-20\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/2 + (2 - 1). Let n(m) = m**2 - 7*m + 10. Let i be n(7). Let t = i - g. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 108*m. Let t be w(1). Let c = -14 - -19. Suppose c*y - t = y. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 743 - 758.78. Let l = -0.28 - w. What is l rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 + 28*j - 24. Let y(g) = 2*g**2 - 7*g + 6. Let w(i) = 2*u(i) + 9*y(i). Let c be w(4). Calculate the greatest common divisor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 0\/2 - 3. Let y(f) = f + 4. What is the units digit of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**4 + 80*w**3 - 2 - 5*w**4 + 13*w**2 - 82*w**3 to b*w + l*w**2 + v + j*w**3 + k*w**4 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 146*b**3\/3 - b**2\/2 - b - 6. Is h(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4888 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31031 (base 4) to base 9.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 17*q + 3135. What are the prime factors of q?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2830 + 2178 - 5873)*(-2*x**3 - 12*x**2 + 12*x**2).\nAnswer: 1730*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*b**2*h**4 - 124*b**2*h - 2093*h**5 - 3355*h**2 - 2*h wrt h.\nAnswer: -816*b**2*h - 125580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 743058.6ng in milligrams?\nAnswer: 0.7430586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -952?\nAnswer: -94e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9126, -40312, -92280, -165024, -258538?\n\"Answer: c**3 - 10397*c**2 - 2*c + 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*f - 3*f**3 - 35*f - 38*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -14*p + 1. Let h(c) = -234*c**2 + 490*c**2 - 268*c**2. What is h(k(d))?\nAnswer: -2352*d**2 + 336*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqayyqqkpqakqsk. Give prob of sequence ykpq.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from kkkkeeeeeekkek.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1ddb (base 14) to base 8\nAnswer: -12555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 9*u**2 + 10*u + 15. Let g be n(-8). What is the closest to 0 in 0.3, 16, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (69*2)\/((-48)\/(-24)). Let o = y - 17. Let b be 2*(-3 - -2) - -15. What is the highest common factor of o and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2004 and 139\/588?\nAnswer: 98196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.04 (b) 14\/201 (c) -2 (d) 10\/13 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-382 - -2)\/4 + 0. Let f = 97 + d. Is 18 a factor of -2 + (0 - f) - (-7 - 123)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459290321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 3*d - d)*(-d + 2*d + 0*d) + (7*d + d + 0*d + (-2*d + 2*d - 3*d)*(1 + 3 - 3))*(d + 2 - 2) in the form k + z*d**2 + g*d and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 52?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*sqrt(19) + -2 + -1 + (1 + sqrt(1216))**2.\nAnswer: 19*sqrt(19) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 3:51 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*k = 8, -o - 3*k + 12 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asggagsggaga. Give prob of picking 2 g and 2 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -116\/3. Which is the biggest value? (a) -2\/41 (b) m (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543.2 take away -0.169?\nAnswer: -543.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let y(f) = f - 20. Let l(g) = -6*u(g) - y(g). Give l(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + 5*b**2 - 5*b**2 + (-11 + 16 + 9 + 2 + 4 + 0 - 3 + 5 - 1 + (0 + 2 - 4)*(1 + 1 + 0) - 2 + 7 - 4)*(1 - 1 - b)*(0*b - b - b).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 60 = 4*f - 850, 5*f + 3*j = 1154. Calculate the remainder when f is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-3 + (-36)\/(-4). What is the tens digit of (b - 5)\/((-2)\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -k - 27, 4*k = 9*y - 4*y + 17. Is (k\/(-5))\/(7\/700) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*f + 19 = 0, -11 = -4*v - 4*f + 9. Suppose v*d + 4 = 22. Suppose 5*h = -d*a + 57, 3*h - 40 + 121 = 3*a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -633, -614, -583, -540, -485, -418?\n\"Answer: 6*b**2 + b - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 621 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -75*b**2 - 12*b + 12. Let u(a) be the third derivative of -a**5\/2 - 5*a**4\/24 + 5*a**3\/6 - 571*a**2. Determine -5*j(x) + 12*u(x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608, -1191, -1776, -2363?\nAnswer: -2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**8\/20160 + t**7\/1680 + t**6\/360 - t**5\/20 - 3*t**2. Let y(d) be the third derivative of n(d). Calculate y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1785 + 3146. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5634, 5671, 5708, 5745?\n\"Answer: 37*q + 5597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k. Let r(m) = -m. What is r(s(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20*d**2 - 8*d - 10. Give j(-2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17605 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 16*h**2 + 36*h + 144.\nAnswer: -4*(h - 3)*(h + 3)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143228 = 246*l - 1567*l - 1027*l for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 15*m**4 - 370137*m**3 + 2284429779*m**2 - 13240055955*m + 17345353650 = 0.\nAnswer: 2, 19\/5, 12335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -449 in -1, -3, 0.09, 0.2, 51\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 1263, 2839, 5071, 7965, 11527?\nAnswer: 15763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57672)\/(-1246) + (-10)\/(-14). Put -3, p, 5, -12 in increasing order.\nAnswer: -12, -3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 3916994*l\/9 + 5222648\/3.\nAnswer: 2*(l + 4)*(l + 1958493)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31\/4 (b) 2\/11 (c) 5 (d) -0.4 (e) 6 (f) -222\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -48. Let p = u - -30. Let n = -16.0000215 + p. What is n rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -9*j**7 + j**4\/4 + 95*j**3\/3 - 92. What is the third derivative of o(q) wrt q?\nAnswer: -7560*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 + 634*p**2 - 23100*p = 0. What is p?\nAnswer: 0, 42, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1269 divided by -423.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15909397 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*q - 4*q. Suppose q*l - 28 - 12 = 0. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3420 (base 6) in base 16?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006933144996 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760 (base 11) in base 15?\nAnswer: -9e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 498*u - 31438. Give i(63).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 10*n**2 + 2*n + 15. Let o be w(-10). Put 4, -4, o in increasing order.\nAnswer: o, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*l**3 - 159*l**3 - 158*l**3 + 454*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43146)\/2538)\/(9\/((-45)\/20))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 63. Let q = -4721\/12 - -1731\/4. Let c = 40 - q. What is the biggest value in -4, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 128333*n**4\/12 - n**3\/3 - n. Suppose -21*x - 4*x - 150 = 0. Let l be q(x). What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1170 and 286290.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q - 0*q - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**5\/180 + 5*w**4\/108 + 4*w**3\/27 + 2*w**2\/9 - 13*w. Let d(v) = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-258)\/42*1 - -6.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 8. Suppose -y + g = 2*q, -5 = -2*y + 5. Is -4\/9 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -346 in decreasing order.\nAnswer: 1, -10, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 17 + 0*n - 4. Let z(o) = o + 6. Let i(u) = -4*y(u) + 9*z(u). Calculate i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 + -142. Do 46 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 3}. What is prob of picking 1 o and 1 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 - 1)*(1 + 2*z - 1) - 4*z + 4*z - z - z - z + z + z - 2*z + 3*z - 31 - z + 2*z - 8)*(-164 - 1 - 84) to l + x*z and give x.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266833, -266836, -266839, -266842?\nAnswer: -266845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -107*d**3\/3 - 4*d**2 - 3. Let w(c) = c**2 - c. Let s(x) = -2*w(x) - y(x). Find the second derivative of s(i) wrt i.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/32, 0.01, 64\/159 in ascending order.\nAnswer: 0.01, 1\/32, 64\/159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85 - (-8 - -5)) + -27 + 9 + (-37 - -53).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 10*u. Let k be v(10). Suppose -4*b + 20 = -k. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-3) - 1)*32\/(-40). Solve w + 0*w - t*h + 11 = 0, -6 = 2*w - 4*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045072139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 + 1 - 1)*(-6 + 7 - 3) as j*u**2 + n + y*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141784723.\nAnswer: 3, 13, 6907, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 2. Let c be k(0). Suppose -3*s = -c - 4. Sort s, -3, -2.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 5, 2, -2422, -4 in ascending order.\nAnswer: -2422, -7, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/5040*-206 + 23\/322 and -23\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -81*b + 137 - 925 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -3*q**5\/100 + 3*q**4\/5 - 18*q**3\/5 + 2*q. Factor k(p).\nAnswer: -3*p*(p - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j - 11*j**3 - j**4 - 4*j**2 + 4*j**3 + 10*j + j**3 + 5.\nAnswer: -(j - 1)*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)\/p)**(6\/5)\/(p**(-1\/2)\/p**1)*((p*p*p**(-3)\/p*p)\/p**3)\/((p*p\/p**(-4\/7))\/(p\/p**(6\/5)*p)) assuming p is positive.\nAnswer: p**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.022 + 0.078. Which is the closest to p? (a) 2\/11 (b) 1\/5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13641989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*p**3 - 60*p**2 + 1559*p**3 + 31*p**2 + 29*p**2.\nAnswer: 1132*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.340591 rounded to 0 dps?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 + 65*p**2 + 84*p + 4. Determine v(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720 is divided by 675?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59290330, 59290329, 59290328, 59290327, 59290326?\n\"Answer: -d + 59290331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 + 557851*m - 571468 wrt m.\nAnswer: 3*m**2 + 557851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l + 239470 = -196483. What are the prime factors of l?\nAnswer: 7, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 11*m + 31. Let n be l(7). Solve n*d + 2*d - 31 = 2*f, 2*d = -f + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9702461, 2, -1, 1 in descending order.\nAnswer: 9702461, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1283, 1023, 591, -13?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6258199?\nAnswer: 41, 152639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d**2 + d - 6. Suppose -8 = -i - 0. Let c be l(i). Put -1, -2, c in increasing order.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 8. Let k be b(5). Suppose -45 = -k*q + 18. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018890462 to six dps.\nAnswer: -0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4056531 and 1602.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 289 - -2?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from jjjojjjjozjjjj?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.534513 millilitres to litres.\nAnswer: 0.000534513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let t be (-3)\/((-12)\/28) + 3. Suppose -j - t = -n - 6*j, -3*n - j = -30. What is the smallest common multiple of n and u(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401 + 404. Suppose -17 = -t*b - 11. Solve 6*a - b*a + u = 13, -7 = 4*a - 3*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + ((-5*sqrt(156) - sqrt(156))*6 - sqrt(156)))\/(2*sqrt(48)\/sqrt(4)).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1936)\/((-11)\/1) + 11 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/544)\/((-6)\/3184) - 2\/(-4).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20850 greater than 20851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5172.64899 - 5163.52. Let g = t + 0.87126. Let f = 10 - g. Round f to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4 + 5)*(-2 + 2 - 2*t + (2*t - 7*t + 2*t)*(3 + 3 - 5)).\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/9)\/(z\/z**(-1\/6)*z))\/((z*z\/z**(-2)*z*z)\/z*z\/(z**1*z)) assuming z is positive.\nAnswer: z**(-119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02188 - -0.32188. What is the nearest to 0.14 in -5, 4, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 475.3039 + -475. Let v = 1.2751 + c. What is v rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - m**2 - 2*m + 5. Let b(z) = 4*z**3 - 2*z + 5. Let o(l) = 4*b(l) - 5*r(l). Let i be o(-4). Solve 10 = -i*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.2, -0.21 in ascending order.\nAnswer: -0.21, -0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32633 + 2447422\/75. Find the common denominator of d and 71\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x - x + 0 + 2 wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4\/2 + 25*w**2 + 880. Find s, given that x(s) = 0.\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**3 + 4*b**2 - 3*b + 1. Suppose 3*i + 5 - 14 = 0. Let d be y(i). Let v = d - 2979\/11. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = 20. Let m be ((-1)\/39 + 0)\/(1\/(-3)). Sort a, 3, m in increasing order.\nAnswer: m, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*y**3 - 105*y**3 + 118*y**3.\nAnswer: -135*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 3:24 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.048 + -2.113. Let s = 0.135 - o. What is s rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290424434719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3435369*o + 3435370*o - 6870753*o - 1.\nAnswer: -14*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-8))\/(7\/28) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:20 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45 - 47 - (-13 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/5 - 17*g**2\/5 - 38*g\/5 = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (843 - 843 + 1168*v)*(2 - 4 - 5 + 2*v).\nAnswer: 2336*v**2 - 8176*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -0*m - 4*m. Suppose 5*c - 232 = 3*n, 0 = 3*c - 2*n + 53 - 193. Let a = c + -38. Calculate the remainder when m is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-8))\/3*2\/(-10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*p + p - 2*t, t = -2. Let h(g) be the first derivative of -5*g**2 + 3*g - 69. Give h(p).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l - 7*l + (2 - 2 - 2*l)*(1 + 4 - 3)*(1 - 1 + 1).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:52 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*l - 14, -5*j - 271*l = -275*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1112)\/(-3614))\/(21\/(231\/22))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (842\/(-170) - -5)*(-4395)\/126. Let k = f - 3\/119. What is the third smallest value in -0.3, -2\/3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 17 + -4 + -4 + (4 - 0) + 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - y + 1. Let c(t) = -1. Let d(h) = -c(h) + f(h). Let w(m) = m**2 + 2*m - 3. Let x(a) = 4*d(a) + 3*w(a). Give x(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513104.\nAnswer: 2, 32069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 114 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l + 31. Let m(j) = -37 - 5*j + 22*j - 25. Let v(f) = -2*m(f) - 5*t(f). Let n be v(3). Solve n = -2*d - 0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 17. Let v be p(7). Solve -5*x + 1 = -v*l, 3*x - 4*x - l = -5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h. Let y = 505 + -506. Let g(n) = -n. Give y*p(v) - 5*g(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1770*h + 509759. Determine w(-288).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-42)*7 - 104\/88)*2.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = 6, 2*y = 2*w - 2. Solve i = 4*q + 16, -2*q - 3 = -y*i - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105083610 times 6?\nAnswer: 630501660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 1766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*x. Let k be 0 - (2 - 10\/8). Which is the smallest value? (a) k (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - ((4 - 0) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 = 34*u - 2780. Solve 14*v - u = 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -545, -237, 71, 379, 687, 995?\n\"Answer: 308*y - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.7*-193.\nAnswer: 3802.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 899, -5, -150 in descending order.\nAnswer: 899, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 + 0)*(30*q - 27*q + 249*q + 4*q) as z + d*q and give d.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {v: 7, p: 5, o: 3, t: 4}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646754.9 rounded to the nearest 10000?\nAnswer: -2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:37 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 290564.53 to the nearest one hundred.\nAnswer: 290600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggaaaagggaapaag?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614804700 by 150.\nAnswer: 4098698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 24*d\/7 + 22\/7.\nAnswer: 2*(d - 11)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Is (-2)\/f*-46 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7529617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(175)*1*-3 + -5 + (3*sqrt(175)*2 - (sqrt(175) + 1 - sqrt(175))*6)))**2.\nAnswer: -8250*sqrt(7) + 42400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/1530)\/((6468\/1029)\/((-10)\/(-14)*-1)).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*sqrt(57)\/sqrt(3) - (-1 + sqrt(19) + 3))**2 + -1).\nAnswer: -174 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j + 16 = 0. Let o be 17 + (-2 - j)\/(-2 + 1). What is the greatest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.00152 (c) -0.0871\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/12 and 37\/44120.\nAnswer: 132360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 5, -1.5, 6, -50?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-61)\/(-671) + (-12)\/11. Let g(j) = -1. Let i(h) = -2. Let u(z) = -9*g(z) + 4*i(z). Let m(d) = 2*d - 2. Determine k*m(y) - 2*u(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 36*m - 195 = 0. Solve 43 = 6*y + m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*m + 147 = -85 - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*(m\/m**4)\/m*m*m**(-6))\/(m*m**(-2\/5))**(-48)*(m**(1\/4)*m**(-3\/10))**16 assuming m is positive.\nAnswer: m**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1688, 13442, 45306, 107330, 209564, 362058?\n\"Answer: 1675*k**3 + 5*k**2 + 14*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -96. What is the highest common divisor of j and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-34)\/((-1258)\/37))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25029527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5039420 and 4.\nAnswer: 5039420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 63 = 17. Let o be (-4)\/(-6) + y\/6. Is 4 a factor of (2\/o)\/((-1)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 322, 1243, 2774, 4915, 7666, 11027?\n\"Answer: 305*y**2 + 6*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(12\/5))**48)**(-4\/3) assuming x is positive.\nAnswer: x**(-768\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + -1 + sqrt(18)\/sqrt(24).\nAnswer: -1 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 9, 0.05, -2\/5, -57, 4\/3 in descending order.\nAnswer: 9, 4\/3, 6\/7, 0.05, -2\/5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376182 divided by 1376182?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1368)*2 + sqrt(38)))\/(sqrt(18)*1 + (sqrt(24) + sqrt(24) + sqrt(600) + sqrt(24))\/sqrt(12)).\nAnswer: -52*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45184 (base 10) in base 12?\nAnswer: 22194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60599?\nAnswer: 7, 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z - 2. Let o be y(2). Suppose 7*n + 3*l = 2*n - 6, -2*l = o. What is the tens digit of n\/(-2) - (-8 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -18*b - 6. Suppose -3*x = -b*x + 546. What is the remainder when 11 is divided by x\/(-98) + 6\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**4\/12 + 7*l**2\/2 + 3*l + 2. Determine c(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5\/2 (b) 2 (c) 31\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*r - 184 + 594 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 8*s - 3*s = 0, -3*z + 5*s = -16. Let k be (-20)\/(-28) - (-6)\/21. Calculate the highest common factor of k and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 = -r, -5*r - 28 + 1 = 4*h. Let z(s) = -s**2 - 1. Let p(u) = -8*u**2 + 6*u + 9. Let w(t) = -p(t) - 3*z(t). Is w(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, and 2 c when four letters picked without replacement from {n: 1, r: 1, e: 2, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*c - 20*c + 9*c)*(84 - 33 + 1 + 137).\nAnswer: -7371*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1092 or -1111?\nAnswer: -1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*t. Let l be (t - (3 + -5))*1. Suppose 0 = 4*i - 15 - l. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10273899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 207\/46 - (-3)\/2. Find the first derivative of -20*c + z + 39*c - 20*c wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 21, -262, -659, -1170, -1795?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 + 1)*(-7*y**2 - y + y) + (-5*y**2 + 3*y**2 + 3*y**2)*(0 + 0 + 1) to the form a*y + s + l*y**2 and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 20*h + 80. Give a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 90883 - 90841 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2)**2 - (sqrt(133)*-2)\/sqrt(7).\nAnswer: 2*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2345 is divided by 54.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346 divided by 56.\nAnswer: 173\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 59 = 5*c, 4*i - 5*c - 36 = -c. What is the first derivative of -i*b**3 + 12 - 67*b**3 - 96*b**3 - 38 wrt b?\nAnswer: -528*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4169 (b) 10969 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12073 + -12053. Put -0.5, n, 0.4, -9 in decreasing order.\nAnswer: n, 0.4, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvl when three letters picked without replacement from {l: 6, d: 2, k: 1, v: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249552, 499108, 748664, 998220, 1247776?\nAnswer: 1497332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y + 1. Let f(h) = -600*h**2 + 35*h + 35. Let g(q) = -17*q**2 + q + 1. Let a(u) = -11*f(u) + 385*g(u). What is a(i(p))?\nAnswer: 495*p**2 - 330*p + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v + v + (1 + 4 + 0)*(v - v - v) - 3*v + v + 3*v to the form r + p*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62319 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 122661, 122236, 121811?\n\"Answer: -425*x + 123086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 3*b - 9. Let i be c(4). Is i smaller than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -122932.\nAnswer: 5\/122932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -14*v + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -350, -1177, -2582, -4565, -7126, -10265, -13982?\n\"Answer: -289*x**2 + 40*x - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 2. Let w(s) = -s**3 - 5*s**2 + 5*s + 2. Let b be w(h). Suppose -33*k + 27*k + 24 = 0. Calculate the highest common factor of b and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**1)*y)**(-36) assuming y is positive.\nAnswer: y**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 338061233 to the power of 1\/2, to the nearest integer?\nAnswer: 18386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x + 26. Let l be h(-6). Suppose -3*c + 22 = -3*n + 5*n, -2*c = -8. Solve -1 = -n*y + m, 3*y = -m - l*m - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1209 less than -10876\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -45508178.\nAnswer: -45508177.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f + 2)*(-f - 2*f + 2*f) + f**2 + f**2 + 0*f**2 + 3*f**2 + 2*f**2 - 4*f**2 + (0 + 0 + 10*f)*(13067 - 122*f - 13067) + (3 - 3 + f)*(3 + f - 3).\nAnswer: -1215*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72499 or -72498?\nAnswer: -72498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33128.68 - -33520.7774. Let n = d - 392. What is n rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -908*t + 1. Let d(c) = 21*c. Determine d(i(v)).\nAnswer: -19068*v + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.686669 minutes to microseconds.\nAnswer: 41200140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**3 - 2*a**2 + 2*a. Let f(w) = -2*w - 5*w**3 - 3*w + 4*w + w**2. Suppose -d + 12 = -3*d. What is d*v(y) - 13*f(y)?\nAnswer: -y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2004 and -193178.\nAnswer: -38712.8712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04250693 rounded to 4 dps?\nAnswer: -0.0425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 360*g + 4348. What is the remainder when c(-12) is divided by 226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73781654043.1 plus 0.4?\nAnswer: 73781654043.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 14) in base 5?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27552*p**3 + 23596*p.\nAnswer: -165312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**5 - 3*v**5 + 0*v**5 + 7*v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 2:18 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 11) in base 9?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345341\/44 + 7849. Let g = 1\/11 - u. Let t = -7 + 2. Which is the third biggest value? (a) t (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 2*u**2 - 2. Let j(o) = 7*o**2 - 6*o + 9. Let k(a) = -9*a**2 + 8*a - 12. Let y(s) = 4*j(s) + 3*k(s). Determine q(i) - 3*y(i).\nAnswer: -2*i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -318, -636, -954, -1272, -1590, -1908?\n\"Answer: -318*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2500*v + 1150*v + 4065*v = -8140*v + 79275 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 4. Let l be r(3). Let n(a) = l*a + a - a - 9. Let j be n(6). Solve 0 = 3*y - 3*w - 21, 0 = -4*y + j*w + 13 + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 412 - 255. What are the prime factors of s?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 153. Let r = m - 7. Which is smaller: -24 or r?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + n**2 - n**2 - 76*n**3 + 197.\nAnswer: -76*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -20*y - 17*y + 35*y + 5*y**2 - y**3 - y**2 + 2 + 2. Let f be n(4). Let a = -277\/14 + 39\/2. Put f, -1, -3, a in decreasing order.\nAnswer: a, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 73, 247, 585, 1141?\nAnswer: 1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387172 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -23. Let k(n) = 2*n**2 - n**2 - 6 + 11*n - 7*n. What is k(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m - 12. Let u be h(-2). Suppose u = 5*j - 9 - 16. Determine w so that -1512*w + 5*w**2 - 3*w**3 - 7*w**3 - j*w**4 + 1522*w = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 6, 78, -4 in increasing order.\nAnswer: -4, -1\/5, 6, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-371 - -365) + (0 + -6 - (4 - 4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7*g - 2 - 6*g)*(98 + 10 - 32).\nAnswer: 76*g + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -533\/7. Suppose -4 = -4*x + 4*p, p = -x - x + 8. What is the nearest to i in 9, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*s + 12*s - 980 = -1122 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.22, -23, -5, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37838 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*z - 4*z**3 + 3*z**3 - 41*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.0334 - 0.0334. Put i, -46, -1, 0.3 in decreasing order.\nAnswer: i, 0.3, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274 divided by 4521.\nAnswer: -1274\/4521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-35 - -46 - (-3 + 13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*x = -3*x - 13, -2*x = -5*r - 40. What are the prime factors of (-78)\/(-4) + 3\/r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123058813057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z + 4. Let c = -6 + 8. Let a = c - 2.2. What is the closest to -1 in a, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 z, and 1 m when four letters picked without replacement from {z: 2, i: 2, m: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 343580131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 4*u**2 + 3*u - 4. Let h be q(3). Let y = 13 - 4. Suppose y = 2*g - h. Solve 45 = -5*d + 4*p + p, 0 = -d - 4*p + g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16679a0 (base 11) to base 6.\nAnswer: 140442405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 64*k - 63*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/180 + s**5\/60 - s**4\/24 + 3*s**2. Let x(m) be the second derivative of p(m). What is the derivative of x(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 52?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k - 50. Let p(v) = 7*v - 40. Let f(n) = 5*p(n) - 4*x(n). Let m(l) = 5*l + 9. Let h(u) = -u. Let y(z) = 4*h(z) + m(z). Give y(f(q)).\nAnswer: -q + 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -649445 or -649442?\nAnswer: -649442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62042 - -62009.987. Let s = m - -32. Round s to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9435194?\nAnswer: 2, 4717597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.5 (b) 2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 38, 98, 212, 398, 674?\n\"Answer: 3*q**3 + 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -q - 3 + 4, 4*l = 5*q + 9. Let z = 0.11 + -0.11. Which is the second biggest value? (a) l (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvzvvvvv. What is prob of sequence vv?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22059 = 6*p - 21969. Let m = 8 + -15\/2. What is the closest to m in p, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*p**2 - 28*p**4 - 5*p**3 + 2*p + 144*p**2 + 8*p**3 + 3 - 2 to d*p**4 + a + q*p + c*p**2 + k*p**3 and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + 2 + -2 - ((-26 - (-38 - -46)) + 28).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1413995.9445 and 6?\nAnswer: 1414001.9445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*(sqrt(100)*-4)\/((sqrt(180)\/sqrt(4))\/sqrt(9)))*-3)**2.\nAnswer: -288*sqrt(5) + 11529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 1, -5, 23, -0.03?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0. Let j be (-108)\/22 - -2 - ((-204)\/(-17) - 15). What is the nearest to j in 4, -1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24876 and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*a**2*l**2 + 2*a**2*l - 2*a*l**5 - 11*a*l + 5 wrt l.\nAnswer: -268*a**2 - 40*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a meter in millimeters?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2250.083 + -2252. Let y = f + -0.083. Which is the smallest value? (a) 0.3 (b) -4\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205406 less than or equal to 205406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t = 52*t - 24. Suppose 2*m - 17 = u, m = 6*m + t*u - 20. Let k(l) = -l**2 + l + 11. What is the remainder when k(0) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142.85 less than -5?\nAnswer: -2147.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 - -168. What is the closest to -0.1 in r, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**3 + 4*m**2 + 4*m - 4. Let s(x) = -25*x**3 - 15*x**2 - 15*x + 15. Let g(v) = 30*v - 124. Let z be g(4). Determine z*s(u) - 15*f(u).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0215 + 0.0214238. What is t rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390979, -391000, -391023, -391042, -391051?\nAnswer: -391044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14253067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467479127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Suppose 3*h = -0*h + p*g + 15, -2*g - 12 = -2*h. Suppose s + h*t = 5, s + t + 2 - 1 = 0. Let w(z) = z**3 + 5*z**2 + 6*z + 3. Calculate w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from rdpwjrwrrd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/20 - 19*v**4\/12 + 11*v**3\/3 - 2*v**2 - 2*v. Let y be (14\/(-21)*-27)\/(1 + 0). What is the units digit of d(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -3.7. Suppose 4*s + 10*j - 11 = 15*j, j = -3. Sort 0.07, s, w in ascending order.\nAnswer: w, s, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*z - 734 - 439 - 891 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 16. Let c(q) = 5*q - 2 + 5 - 2 - 7. Let y be c(6). What is the highest common divisor of y and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 2114430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36211*a**6 - a**2 - 2029*a + 5 wrt a?\nAnswer: 4345320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*l**2 + 10*l**3 - 16*l**3 - 24*l**2 + 8*l**3.\nAnswer: 2*l**3 + 151*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38405, -38381, -38357, -38333?\nAnswer: -38309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {d: 1, l: 7, t: 1, o: 3}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.25 + -34. Let l = 0.2 - t. Let s = 0.51 + 4.49. Is l <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-56)\/(-21))\/8*0. Let r be 8\/2 + 3 + -4. Suppose 3*v - 3 = r. Solve -v*t + x*t = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7610\/761 + (0 - 13) + 3 + (-1)\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 9 (c) -0.1 (d) 1 (e) 0.357\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 2*g - 3. Let o be 3\/9 - (-1)\/(-3). Let i be (o - 0\/(-2)) + -1. Let r(k) = -28*k - 1 - 21*k + 50*k. What is i*b(m) + 2*r(m)?\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00499157 rounded to 5 decimal places?\nAnswer: 0.00499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1056 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*7\/(147\/(-4)))\/(114\/(-21))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 2, u: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2394 and 504.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 7*w - 26 = 0. Let s(h) be the second derivative of -h**3\/6 + 19*h**2\/2 + 2*h. What is the remainder when 9 is divided by s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93398787.\nAnswer: 3, 1123, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjnm. What is prob of picking 1 n and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 - 97 + 166)*(-2*f - 4*f + 5*f) + 3*f - 2*f + 0*f.\nAnswer: 67*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -160 - -2a94b?\nAnswer: 2a7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1267 + 1266.6. Let d = 1 - -4. Sort 11, v, 1\/5, d.\nAnswer: v, 1\/5, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/(2730\/42))\/(-2*2\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79074*l*v**2 + 7917*l*v - 11*l - 198*v**2 wrt v.\nAnswer: 158148*l - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 254*k**2 + 113*k + 108. What is t(-1)?\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 6*y + 2*z, -509*y + 10*z - 22 = -506*y + 31 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 + 8*m - 7. Suppose -2*k + 4 + 0 = 0. Let y = k - -4. Calculate h(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 * 636\nAnswer: 96672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**2 + 5*m - 8. Let z(q) = -1. Let t(p) = -f(p) + 3*z(p). Is t(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 480 = 41*j. Calculate the greatest common factor of 135 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-3\/8)*o*o)\/o*o*o\/o**(-7\/3)*o*o)\/(o**(-2\/3)\/(o**(1\/19)*o)))**(-2\/3))**(-4\/17) assuming o is positive.\nAnswer: o**(1319\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 r when four letters picked without replacement from {c: 2, z: 1, r: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h - 10. Let f be n(-1). Let t be (f\/10)\/(2\/125). Solve -3*w + 8*w = -t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 6*o + 2. Let y = 7 + -7. Suppose -3*u - 5*l = -70, y*l + 90 = 4*u + 5*l. Let x = u - 16. Determine i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 54 (b) -2\/5 (c) -0.6 (d) 2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9819446.\nAnswer: 2, 7, 13, 163, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15518415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6.6. Let r = 1.5 - 2. Let l = 4 - 3. What is the third smallest value in a, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157482 (base 9) to base 13\nAnswer: 3540b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-98)\/(-245) + 66\/(-115). What is the closest to 0.2 in k, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2926)\/(-55))\/19 + 755\/25?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 + 7*m + 199. Let w be o(7). Let 12\/5*f**2 + 9\/5*f + 3\/5*f**w + 0 = 0. Calculate f.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/200 and 109\/260.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 229, 339?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.21, 4, 0.01, -2\/133, -0.4, -10?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.53 - -0.27. Let t = q + -4.7. Sort t, -0.1, 1\/2, 1\/77 in ascending order.\nAnswer: -0.1, 1\/77, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*b - 16*b - 25*b to the form j*b + g and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2733.0030508 - 2733. What is g rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.362 or -0.07879?\nAnswer: -0.07879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 238640.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from bbbbbbbfvbbbbvvbbbbb.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 121320031002 (base 4) to base 16\nAnswer: 678342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 2*n**3 + n**3 + (-6 + 2 + 2)*(-2*n**3 + n**3 + 3*n**3) + 41*n**2 - 41*n**2 + 62*n**3 + (-2*n - 3*n + 3*n)*(-2 + 2 + n**2).\nAnswer: 58*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96106.49ml to litres.\nAnswer: 96.10649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11.4844176*-3\nAnswer: 34.4532528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/24)\/((-2)\/20). Let j = 3221 + -3229. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/60)\/((-11418)\/(-1905) - 6) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3509 (base 11) to base 2\nAnswer: -1000111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c692 (base 15) to base 3.\nAnswer: -110102101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1704f3 - f?\nAnswer: 1704e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, j: 3, r: 1, d: 4, u: 1}. What is prob of picking 2 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012010101210102 + -2?\nAnswer: -12012010101210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:22 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929011.3l to millilitres.\nAnswer: 929011300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830375 is divided by 446?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16566019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 8513, 0.2, 1\/28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/12 + (-13)\/(936\/(-17556)) is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 0.242771.\nAnswer: -7.040359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 661375138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 - -283. Let s = q + -164.19. Round s to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) + -1*sqrt(231) - sqrt(231))\/sqrt(7))\/(sqrt(18)\/sqrt(24)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 23. Let m = s - 29. Let f be m\/18 + 114\/27. Solve -f*v - 23 = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2898 divided by -1449\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333 - -331.49. Let t = -1.50999927 - k. Round t to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (9 - 264\/32)*(-1 + 5). Let w(q) = 3 + 1 - q + 0. Give w(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301*3315\nAnswer: 997815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, 0.1, 2186, -3, -2, -2\/11?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 - v**2 - 2*v + 2. Let q be y(1). Solve -q*s = 2*r - 9, -6*r - 13 = -3*s - 11*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let d(n) = -285*n**2. Calculate a(d(r)).\nAnswer: -81225*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*f = 11, b - 2*f = 4*b + 8. Let g(l) = -2*l**3 - l**2 + 2*l - 1. Let p be g(b). Let r = 9 - 2. Calculate the greatest common divisor of p and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -c - 24*c. Solve 0 = -g + 7*g - c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69148 or -69150?\nAnswer: -69150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*v - 38, -468 = -4*f + 9*v - 394 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 126?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 2\/11 (c) -7\/5 (d) 4\/19 (e) 0.1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19373.\nAnswer: 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 113*a**2 + 11*a + 25. Let n(y) = 57*y**2 + 5*y + 12. Let c(v) = 5*n(v) - 2*q(v). What is the second derivative of c(b) wrt b?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36800 and 4600.\nAnswer: 36800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-187 + 97 + 103)*(-4*c**2 - 2*c**2 + 4*c**2)*(-3*c + 2*c - c).\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(3*r**2 + 7*r**2 + 8*r**2)*(86*r - 67 + 67).\nAnswer: -1548*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 492, 483, 474, 465, 456, 447?\n\"Answer: -9*z + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 36?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 - 132*y**3 - 540*y**2 + 18900*y + 162000 = 0. Calculate y.\nAnswer: -15, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/23640 and -106\/20685.\nAnswer: 165480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -74318461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f. Let o(n) = -n**3 - 2*n**2 + 2*n - 2. Let b be o(-3). Let l(c) = 2*c**2 + 8*c. Let a(s) = b*l(s) - 4*x(s). Factor a(u).\nAnswer: -2*u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/290141 or 1?\nAnswer: -4\/290141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (4 + -1*sqrt(11))**2 + sqrt(11) + (sqrt(99))**2*-3)*-4.\nAnswer: 24*sqrt(11) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28218.\nAnswer: 2, 3, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-16)\/(u\/(u*u**10\/u)*u))**26)**(7\/2) assuming u is positive.\nAnswer: u**(-728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, t: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 4) to base 11.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 117582*v + 117579.\nAnswer: 3*(v - 39193)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {j: 2, g: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-14\/5))**(4\/15)\/((j\/(j\/j**12*j*j))\/(j*j**34)) assuming j is positive.\nAnswer: j**(613\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {h: 7, x: 1, r: 1, y: 2, u: 2, g: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -28. Let c = -7 + u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s = -13920. What is s rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27613429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/3 - 76*f + 2166 = 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2)*(1 + 4). Suppose -5*n = -s + 3*s + 50, -3*n + q*s - 61 = 0. Let r be ((-2)\/(-4))\/((-27)\/n). Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19569 or -19571?\nAnswer: -19571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*f**4 + 2*f**3 - 2*f**2 + 245*f - 84005615 wrt f.\nAnswer: 516*f**3 + 6*f**2 - 4*f + 245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 10*s - 0*s. Factor 4*k**3 + 6*k**3 + 172*k**2 + s*k**3 + 4*k**2 - 60*k.\nAnswer: 4*k*(k + 15)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1526236 (base 8) in base 7?\nAnswer: -3501144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -38*p**2 + 70*p + 146. Give c(-2).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = -9. Let x be (20\/o)\/((-1)\/9). Let l = -28 + x. Solve -l = 2*h - 4*b, 4*h + b + 3*b - 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 92. Let j(f) = f + 29. Determine 7*j(p) - 2*r(p).\nAnswer: p + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 47342, 9, -6 in descending order.\nAnswer: 47342, 9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-960)\/270 - 28\/(-18). Which is the third smallest value? (a) 11 (b) 1 (c) 2 (d) s (e) -0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058648302 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 815, 11937, 43663, 106295, 210135?\n\"Answer: 1717*t**3 - 897*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*l + 46 + 44 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**2 - 11*g + 18. Let z be s(15). Let w = z + 53. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/142813878 and -85\/24.\nAnswer: 571255512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -355 - 6?\nAnswer: -35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 64 - 24. Suppose -2 = -3*m - 2*u, 0*u - x = -5*m + 5*u. Suppose l - m*a - 26 = -l, -2*l - 3*a + 41 = 0. Solve 6*j + l = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*g**2 + 194*g + 183*g + 198*g + 2 - 571*g + 39*g**2 - 2.\nAnswer: -3*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445436 - 14?\nAnswer: -445453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679700 is divided by 67969.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 262c - -2?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-6\/11)*t)\/t*t)\/(t**(-1\/7)\/t)*(t*t*t*t**(-2\/11))\/(t\/t**(7\/4)*t) assuming t is positive.\nAnswer: t**(1927\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 4*a - 5*a + 2*a**2. Let f be c(2). Suppose -f*v = -v - 21. Solve -2*y - v - 3 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 23718561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddsddddsdsdddd. What is prob of sequence ssdd?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*x - 64 + 35, -3*x - 37 = -4*w. Put w, 4, -41 in descending order.\nAnswer: w, 4, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 8870*a**3 - 1587720*a**2.\nAnswer: -5*a**2*(a - 1572)*(a - 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 105 + 9*o**3 + 0*o + 3*o + 31*o**3 + 105.\nAnswer: 40*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.7 + 20.2. Let u = -27 + y. Let i = 0 - u. Which is the smallest value? (a) -5 (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*x + 10800, 0 = 3*x - 2*d - 9648 + 1523. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + 0.24. Let k = 2 + -3. Let s = 6718.1 - 6718. Which is the nearest to s? (a) k (b) -1\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(700) + 3 + 1*sqrt(700) + sqrt(700) + 3)**2 + (((sqrt(700) + 1 + sqrt(700))*4 - (sqrt(700) + 0)*1) + -5)**2.\nAnswer: 340*sqrt(7) + 40665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 41. Let w be b(17). Let u = -0.27 - -0.07. What is the third biggest value in u, 1\/10, 3\/5, w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -23 + 2 + (-573)\/(-27). Factor -14\/9*o**3 + z*o**4 + 8\/9 + 10\/3*o**2 - 26\/9*o.\nAnswer: 2*(o - 4)*(o - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 26945358?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + 4*m**2 - 3*m**2 - 2*m**2 - m**2 + m**2 + (-3*m**2 + 5*m**2 - 3*m**2)*(0 + 2 - 3).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-126)\/8)*-4. Let h be 0 - ((1\/(-1) - -3) + 9). Let k be 16\/5 - h\/p. Solve -k*n + 4 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19164947 bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = -4*v, 2*v + 4 = -s - 3. What is the common denominator of -137\/6 and v\/4*(4 + (-42)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 8312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 432\/5 + 4\/(-10). Suppose 2*m = h - 26. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19778.5 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 65. Calculate the greatest common factor of 36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 2 = 11*r. Suppose -2*f - r*f - 3*x = -124, -3*f + 93 = 2*x. Let v = -32 + f. Which is smaller: -9\/5 or v?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 - 1. Suppose 0 = -f + 5*f - 5*b - 31, -11 = -2*f + b. What is a(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -21*j + 25*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/(-3) + (-1)\/(-3). Let w be 24\/(-9)*3*i\/(-2). Let z(l) = 3*l**3 + l**2 + l. Let j(g) = -2*g**3. Let d(r) = 5*j(r) + 3*z(r). Calculate d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 53. Suppose -1116 = 9*m - v*m. Let j = m - -405. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 312, 381, 384, 315, 168?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) 1\/4 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 0.2, 2, 1, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33 + 39)*(-2)\/(-3). Let p(b) = 26*b + b**3 - b - 26*b + 3 + y*b**2. Let x(q) = q**3 + 3*q**2 + 2. Calculate 2*p(j) - 3*x(j).\nAnswer: -j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-414)\/7452)\/(((-44)\/(-121))\/((-4)\/22))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 59 - 71 + 121 = -5*j, 2*b - 2*b + 4*j - 12 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693 = -8*o + 3. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (4 - 10) - (-16)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 53 + 54 + 16*c.\nAnswer: 43*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479196 less than 15479195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 12 - 4 - v**3 - 5)*(3*v + 0*v - 5*v).\nAnswer: 2*v**4 + 4*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-2\/35)*(o**18\/o)\/o*o assuming o is positive.\nAnswer: o**(632\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -2*o**3 - 2*o**2 + 4. Find the second derivative of y(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + f - 1. Let c(u) = u - 3. Let k be c(7). Let m be 2 + (-7 - -3)\/k. What is the units digit of n(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -646016 by 5047.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3044839, -12179375, -27403603, -48717523, -76121135, -109614439?\nAnswer: -149197435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 7 - 1) + (9 - 8) + -8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 4\/31 (b) -2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27\/71, -599, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8942 + -5608. What are the prime factors of j?\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -113, 9, -16 in descending order.\nAnswer: 9, 4, -16, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 26*v + 29. Let x be r(-25). Let l(h) = -h**2 - 13*h + 3. Let g be l(-10). Solve x*f - g = -5*i, -2*i + f + 4 = -2*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = 6*s - 135. Let h be (s - 371\/(-77)) + 532\/22. Let a = 126 - -18. What is the highest common factor of a and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/13 (b) 4 (c) -0.03 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318276971 + 318276040.998562. Let d = q + 930. Round d to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/233 or -1?\nAnswer: -18\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 - 11160043.7155.\nAnswer: -11160040.9155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 - s**4 - s**4 + (2*s - 2*s - 2*s**2)*(-3*s**2 + s**2 + 0*s**2) - 3*s + 3*s - 3*s**4.\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306640 and 43849520.\nAnswer: 43849520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43299007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182\/(-3549)*270\/6*1*-39.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**2 + 3*b + 54. Let d(q) = -4*q**2 - q - 18. Let p(r) = 8*d(r) + 3*h(r). What is p(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.2 + 24. Let t = g - -7.9. Which is the closest to -14? (a) t (b) -4\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((25\/250)\/(1\/(-12)))\/2. Which is the nearest to -28? (a) s (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4026 (base 10) to base 14\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:24 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*a + 140 = 0, 5*a = 3*b - 78 - 38. Suppose 0*t + 13 = t - 3*y, -5*t + 4*y + b = 0. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5918204 > -5918204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -t + 3*t. Let m be ((-44)\/(-6))\/(2\/18). Suppose t*i = -4*y + 320, -4*y + 248 + m = 2*i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + 0?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(88)*2)\/((sqrt(8) + sqrt(24)\/sqrt(3))*-5))**2 + -2*(sqrt(11) + (sqrt(11)*1 + -5)**2)*-4.\nAnswer: -72*sqrt(11) + 7596\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000073414779 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 take away -33552?\nAnswer: 33551.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 + 6*w. Let h(o) = 205*o. Give y(h(l)).\nAnswer: 210125*l**2 + 1230*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w + 0*w - w)*(-3*w + 4*w - 3*w) - w**2 + 3*w**2 - w**2)*(22 - 864*w - 22 + 2542*w).\nAnswer: -5034*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-9)*3\/1)\/(4\/(-12)*-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1285, 708, 85, -584, -1299, -2060?\n\"Answer: -23*v**2 - 508*v + 1816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u + 1. Let k(o) = 5*o**2 + 2*o + 2. Suppose -16 = -i - 2*j, 3*i - 5*i + 2*j + 2 = 0. Let x(s) = i*r(s) - k(s). Find a such that x(a) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454521 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 85*z**2 - 680*z - 1. What is f(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and 4 + 78\/72 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpvvps. Give prob of sequence bs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06975751 to 3 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**2 - 209027*z + 13245543 wrt z.\nAnswer: -4*z - 209027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27.2 * -584\nAnswer: 15884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9877\/3 greater than 3292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -651158720*x**4 - 21*x**2 - 2*x - 708545 wrt x.\nAnswer: -15627809280*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -566 (base 10) to base 14\nAnswer: -2c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 328, 643, 968, 1309, 1672, 2063, 2488?\n\"Answer: l**3 - l**2 + 311*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(-2 + (sqrt(363) + 0 + sqrt(363))*2 + 3 + -4 + sqrt(363) + sqrt(363) + sqrt(363)))**2*-3.\nAnswer: -854208 + 22176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let t = 6 - q. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**3 - 3*q**2 + 6. Let z be d(-3). Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5913300 rounded to the nearest 100000?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 9349938.\nAnswer: 37399752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 320.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*l - 36, 0 = -2*l + 3*n - 16 - 2. Sort l, -2, 2, -3 in increasing order.\nAnswer: l, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/24*4*14. Let m(a) = -4*a**2 + 7*a + 7. Let w(x) = x**3 - 2*x - 1. Let d be w(-2). Let l(j) = -3*j**2 + 5*j + 5. Calculate d*m(r) + z*l(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188.61 - 14339.\nAnswer: -14527.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -46, -70, -94?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12122340312 (base 5) to base 6\nAnswer: 1225403325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/7)\/(r*r**(4\/9))*(r**(-1))**(-8\/9))\/((r**(-6)*r*r**(-2\/17))\/(r*r\/r**(-3\/10)*r*r**(-2\/9)*r)) assuming r is positive.\nAnswer: r**(86413\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = 288. Let q be v\/6*(-2)\/6. Suppose -2*p - 40 = -3*p - q*t, 4*t - 4 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 7*r**2\/2 - 13*r - 6. Calculate the remainder when d(9) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 23 - 14*v - 64 + 30 - v**2. Let r be j(-13). Suppose 0 = -g + r*g - 89. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 7*d - 4. Let t be s(6). Suppose -t*i - 5*h = -85, 5*h + 65 = i + 2*i. Let r be (-2)\/(-4*3\/30). Solve r*k - 5*v + 0 = -i, 3 = v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/721 and 1\/103 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 12*a + 2*a - 63 = -4*y, 15*y = -3*a + 216 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 691, 1353, 2013, 2671?\n\"Answer: -w**2 + 667*w - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 370637 (c) 4 (d) 0.05 (e) 2\/13 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2412)\/(-69412))\/((-18)\/(-42)).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1215*y - 2743*y**3 + 1215*y - y**2 to the form w*y + b*y**2 + g + d*y**3 and give d.\nAnswer: -2743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 23*u**2 - 46*u + 132. Give s(-22).\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -x. Let q = 7 + x. Let z be (-5)\/q + (-1)\/(-2). Does -1\/2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**3 + 733*x**2 + 16*x + 8. Let v(b) = -9*b**3 - 735*b**2 - 20*b - 10. Calculate -5*f(d) - 4*v(d).\nAnswer: -4*d**3 - 725*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.1, -2\/9, 9\/29, -53?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*c + 3, -3*i - 2 + 0 = -2*c. Let r(u) = u**3 + 2*u**2 - 13. Let y(p) = -2*p**3 - 3*p**2 + 25. Let w(x) = 5*r(x) + 3*y(x). Determine w(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 3*h**2 + 2*h**2)*(-1378*h**3 + 4*h**2 - 1454*h**3 + 4470*h**3 - 1087*h**3 - 2).\nAnswer: -1102*h**5 - 8*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 16 - -20 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9306 = 35*a - 8781 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 3 + 3 + (5*p**3 + 0*p**3 - p**3)*(3*p**2 - 4*p**2 - p**2) - 127 + 127 - 86*p**5.\nAnswer: -93*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3204 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2. Let c(j) = 3*j - 15. Let v be c(5). Let t(q) be the third derivative of 0 + v*q + 3*q**2 + 0*q**3 + 1\/12*q**4. Calculate t(z(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 3*r**2. Let n be j(5). Let x = 71 + n. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - 3*n)*(-2 - 5 + 5)*(0 + 0 - 2*n)*(23*n + 7 + 17*n - 38*n).\nAnswer: -8*n**3 - 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1610 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031349527 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u + 39*u = -35136. Let q = -565 - u. What is the remainder when 114 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 316936.06 days?\nAnswer: 45276.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -53*w**3 + 5*w**2 + 9*w + 5. Let v(l) = -54*l**3 + 6*l**2 + 11*l + 6. Calculate -6*p(x) + 5*v(x).\nAnswer: 48*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {v: 1, t: 1, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 + 25*d**2 + 2*d - 15. Let z(f) = -2*f**3 + 26*f**2 + 3*f - 18. Give -7*s(u) + 6*z(u).\nAnswer: 2*u**3 - 19*u**2 + 4*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 412008483 by -7228219.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, e: 8, t: 7}. What is prob of sequence eye?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 94 = 4*d, 4*d + 3*n = -0*d + 90. Let o = -16058 - -16286. What is the remainder when o is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 divided by -19724?\nAnswer: -203\/4931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1741 + 1781. Solve -155 + x = -23*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Collect the terms in -253*c + 1299*c - 254*c + 136*c**2 - 264*c - 262*c - 265*c.\nAnswer: 136*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4916504 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 148304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4392673 + 15492673. Round g to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(2 + -3 + -2 + sqrt(7)) - (3 + sqrt(252)\/sqrt(4) + sqrt(112)*-2)))**2.\nAnswer: -5760*sqrt(7) + 16384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(45\/(-9))\/(-30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:51 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b + 27 + 3, -2973*k - 24*b - 11 = -2977*k - 19*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g + 93. List the prime factors of m(-23).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -240*s**3 + 25*s**3 + 54*s**3 + (4*s + 3*s - 4*s)*(-s**2 + 0*s + 0*s) + (-1 + s + 1)*(s**2 + 1 - 1) to o + q*s**3 + p*s**2 + l*s and give q.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*m + 5*t + 4, m + 4 = -4*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -37. Let g = 8.2 + -1.2. Let p = u + g. Put -2\/9, 2\/5, p in descending order.\nAnswer: 2\/5, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in millimeters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 21170 = -95087 - 47739. List the prime factors of g.\nAnswer: 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 4. Let r(a) = 6*a**2 - a. Let z be r(1). Suppose -7*u + 22 = -z*u. Suppose -5*y = -2*f - u, 5*f - 4*y - 1 = -20. Give t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*((-5 - 2 + 6)*(1 - 3 + 1) - 1 + 2 - 3 + 3 - 4 + 2 - 2 - 4 + 4 + 4 - 1 - 4)*(v - 2*v - v)*(5 - 1 + 1).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-34)*6\/75*5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901.\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1002 - 2455?\nAnswer: -3457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {x: 4, l: 1, k: 5, j: 4, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 9*w + 166. What is x(-6)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18314 - -18319. Put 1, s, 3, -66, -2 in decreasing order.\nAnswer: s, 3, 1, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*s**2 + 35945 wrt s.\nAnswer: -76*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 2. Let m be j(8). Suppose m*g - 10*g - 4 = 0. Suppose -t - 28 = 4*q - 5*t, 0 = -3*q + 2*t - 18. Sort q, -3, 4, g.\nAnswer: q, -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270895.\nAnswer: 5, 254179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 201*(3 + (-32)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 15) to base 14\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 1274, 1916, 2556, 3194?\nAnswer: 3830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/14 or -1?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26237967 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*f*o**2 - 40337*f*o + 4*o**2 - 4*o + 839 with respect to f.\nAnswer: -29*o**2 - 40337*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -749, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 799 (c) 21 (d) 1\/2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 105 + 117 = 204 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, g: 1, n: 4, h: 4, p: 7}. What is prob of picking 1 h, 1 p, 1 g, and 1 c?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 - 5*v - 1\/6*v**4 + 0*v**3 + 0*v**2. Let t(p) = 11*p - 16*p + 0 + 0. Give t(i(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*i - 20 = 0, 4*d - i = 8 + 8. Suppose -m - 4*m - 17 = 4*l, 0 = 4*m + 2*l + 10. Let p be ((-1)\/(-1) + m)*-1. Solve -d*q + p - 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849412157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47330, -94676, -142008, -189320, -236606, -283860, -331076, -378248?\nAnswer: -425370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*((((o**(1\/3)*o)\/o)\/o)\/o)\/o)**(31\/4)*(o\/o**(-1\/3))**(2\/117) assuming o is positive.\nAnswer: o**(3659\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 170, 132, 90, 50, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 114 = 2*d + 5*p + 98, -33*p + 80 - 23 = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nogg when four letters picked without replacement from {r: 2, n: 3, g: 4, v: 2, p: 1, o: 8}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-4\/9)\/l))**(4\/11))**(25\/2) assuming l is positive.\nAnswer: l**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 3*v**3 - 6*v**2 - v**2 + 2*v - 5*v**4 + 3*v**4 in the form x*v**4 + t + i*v**2 + h*v + y*v**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49939, 49942, 49945, 49948?\n\"Answer: 3*x + 49936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 1. Let d(t) = t**2 + 32*t - 254. Let r(o) = -d(o) - 2*q(o). Factor r(n).\nAnswer: (n - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*a**4 + 302752*a**3 + 601031*a**2 + 293306*a - 4848 = 0.\nAnswer: -1, 2\/125, 2424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = 1 - 49. Solve 5*q = m - 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 6*f**2 - 5*f. Let u be q(4). Suppose 2*s = 2*w + u, -2*s + 6*s - 3*w - 21 = 0. Suppose -3*g - 5 = 7. Put -1, s, g in ascending order.\nAnswer: g, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 5. Let o(t) = -9*t + 9. Let s(x) = 11*h(x) - 6*o(x). Let y(i) = 5*i - 1. Let d(g) = -6*s(g) - y(g). Give d(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-10 + (1 + 9 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*v + 4*s, 22*v - 23*v - s - 5 = 0. Let i = 8 - 0. Let u be (2 - 4) + 18\/8. Put u, i, v in increasing order.\nAnswer: v, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -1. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*a + 3. Let b be a\/(-21) + 35\/(-12). Let y = -37\/12 - b. What is the closest to 0.1 in y, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*m**2 + 212*m**2 - 134*m**2.\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -6e?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/2 - 61)\/1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose 21 = 5*h - 9. Solve t*u = 5*u - h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 + 3. Let w = 0.5 + h. Let g = 3.9 + 1.1. Which is the second smallest value? (a) g (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-28)*z)\/(z\/z**(1\/6)*z))\/((z\/z**(5\/3))\/(z*z*z**(-3\/16))) assuming z is positive.\nAnswer: z**(-1217\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 132*o**2 - 956*o - 828.\nAnswer: -4*(o + 1)*(o + 9)*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44*30\/17820)\/(6\/(-81)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 126*5\/(-4720)*-4. Let f = -1354 - -79884\/59. Let v = f + q. Put v, 5, 0 in increasing order.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106022, 105931, 105840, 105749, 105658?\n\"Answer: -91*s + 106113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 6*i**2 - 8*i - 7. Determine n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 243 - -104. Suppose -r*d + 2116 = -343*d. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000101 (base 2) to base 7\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 56*n**2 + 411*n - 16. What is the tens digit of g(56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 15. Let w(g) = 7*g**2. Let o be w(1). Suppose -3 = -5*s + o. Solve -4*a + 0 = -k*h - 6, -2*a + 3*h + s = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-3159\nAnswer: 1263.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 6*w + 7. Let l be h(7). Let s = 8 + -5. Suppose l = -s*m - 0*m + 30. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2730000 to the nearest ten thousand.\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245330 (base 7) to base 3.\nAnswer: -2021212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*j - 27*j + 15 + 14*j - 15.\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 956228831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -2. Suppose 3*k = w + 5. Solve -f + k = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -1*(0 - -2). What is the third derivative of -b**2 - b**3 - 5*b**a + 3*b**2 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 g when four letters picked without replacement from rhyhrgggrh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (3 - (-3 + 3 + -2)). Sort 5, f, 0, 4 in decreasing order.\nAnswer: 5, 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -850a41?\nAnswer: -850a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 35, 38?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*b - 518, g - 3 = -5. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00119159 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 61.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let j(b) = -b**3 + b - 3 - b**m - 3*b - b. Let i(t) = 5*t**2 + 14*t + 6. Let p be i(-2). Calculate j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:35 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 42*b = -46*b + 7, -2*i + 8 = 5*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 7*b + 6. Calculate v(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4070 and 1210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -0.4 (c) -2 (d) -2\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 21*c**2 - 57*c - 1743. Give v(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(-5)*(-271)\/(113820\/168).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 36. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-9)\/(-18)). Do 1\/21 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270115 greater than or equal to 270115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 - 192. Let b = p - -80. Let f = b + 58\/7. Is -0.28 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + ((-3542)\/3220)\/(1\/(-10)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-14) + (-2750144)\/43456?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**3\/j*j)\/j))\/j**6*j**(-4)*j**(-2\/17) assuming j is positive.\nAnswer: j**(-189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 382066631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/21, 1\/2, -0.4, -1\/18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -6.2.\nAnswer: -99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 3 (c) 6 (d) 4083\/10 (e) 4 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -29, -29, -7, 49?\n\"Answer: 2*x**3 - 7*x**2 - 3*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/14*(-3)\/6. Let d = 47\/14 - l. Let x = 1.99 + 0.01. Which is the second smallest value? (a) -0.2 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hijgo. What is prob of sequence ij?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbdbbbbbbb. Give prob of sequence bbdb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 5*i**9\/252 + i**7\/35 - 23*i**5\/60 + i**3\/6 - 35*i**2. What is the third derivative of o(u) wrt u?\nAnswer: 1200*u**3 + 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {p: 1, n: 4, m: 7, o: 1, s: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n - 38. Let u be p(13). Suppose 43 + u = 4*q. Suppose -b + 10 = -m, -3*b + 4*m = -b - 24. Calculate the highest common factor of b and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25159 - 12395. Suppose -42*l + 38*l + j = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 + 24. Let h = 79 - d. Let q = -57 - h. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Suppose -2*b + 2 = b + 2*m, 8 = -4*m. Let x(a) = 2*a**2 + 2*a - 3*a**b - 2*a. Determine u(x(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.078 - 37.078. Let r = 36.99954 + c. What is r rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 55. Suppose 18 = r - j*w - 77, 4*r = -5*w + 380. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 421, 1755, 3991, 7117, 11121?\n\"Answer: -2*a**3 + 463*a**2 - 41*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16009 - -3810.26009. Let h = 3575.71 - p. Let c = h + 233. Round c to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -856 divided by -4?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, c: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 39. Let m be 5 - (-4)\/c*4. Let y = m + 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/g**(-4))\/g)\/g))\/((g**(6\/5)\/g)\/g)*g\/(g*(g\/(g**(1\/14)*g))\/g)*g**(-4\/3) assuming g is positive.\nAnswer: g**(-307\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 5*x**2 + 14*x - 15. Calculate the smallest common multiple of b(3) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:48 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 - 3*n - 1. Let q(c) = -c**2 + c. Give -j(r) - 3*q(r).\nAnswer: -3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*y**(-12)))\/y)**10 assuming y is positive.\nAnswer: y**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**4 + 1100*u**3 + 61585*u**2 + 118810*u = 0.\nAnswer: -109, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.3, 5, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2428523 by -5.\nAnswer: -2428523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(70)*2)\/sqrt(10))**2 - (sqrt(1008)*1)**2*-3)*1*6*6.\nAnswer: 124992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 - 3*c**2\/2 + 7. Calculate x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 108918.6 litres in millilitres?\nAnswer: 108918600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2627906, 5255813, 7883720, 10511627?\nAnswer: 13139534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12173 * 3.1.\nAnswer: 37736.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-28)\/12)\/(((-168)\/(-35))\/6)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*w = -5, -4*j + 3*w + 48 = 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 950 and ((-2)\/(-5))\/(9\/135)*375\/18.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2821 (base 9) in base 8?\nAnswer: -4115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/120 + t**5\/5 - 7*t**4\/24 - 3*t**3 - 14*t**2. Let u be m(-12). Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 20*q**2 - 31*q + 5. What is the remainder when w(15) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 12:11 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 68541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19046879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-363)\/(-44) - -6 - 14. What is the nearest to 1 in -5, d, -7, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9386822 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 136*l**2 + 170*l - 2098. Determine j(135).\nAnswer: 2627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2324137 is divided by 732.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:38 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26947340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*w + 10, -2*t = 4*w + 26. Let p(i) = i. Let k(h) = -8*h - 4. Let j(b) = k(b) + 6*p(b). Determine j(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 5, f: 11}. What is prob of picking 2 f?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000810086 to 5 decimal places.\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than 79\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*t**2 - 3297646*t + 122135.\nAnswer: (t - 122135)*(27*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68752717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -2, 1, 5, 2 in descending order.\nAnswer: 5, 2, 1, -0.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/4, -20, 16, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + 5*z**2 - 6*z**3 - 11*z - 6 - 11*z**2. Let y be l(-5). What is the greatest common divisor of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13526633*m**4*u**2 + 42*m**4 - 11*m**2*u**2 - 22763723*m**2 wrt m.\nAnswer: 324639192*m*u**2 + 1008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/3, 0.4, 26.5, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15513500 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 477*o**3 - 80*o**2 - 2 + 2 - 473*o**3 - 84*o.\nAnswer: 4*o*(o - 21)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 239*x + 11. Let q(b) = -117*b - 6. Determine -6*g(a) - 11*q(a).\nAnswer: -147*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = -35*g - 2*b + 18, 0 = 4*g + 4*b - 60 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(162) - (-5 + (sqrt(162) - (sqrt(162) + 1)))) - -6*(sqrt(162) + 0)*5)**2*-5.\nAnswer: -778535 - 13950*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 15. Let h = p + 19. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (5 + (sqrt(1584)*2)**2 - (sqrt(1584) + 1 + -2)).\nAnswer: -12*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 442751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6233*w**2 - 15600 + 7421*w**2 + 15600.\nAnswer: 1188*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from ttyunttvtvtu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -40, -72, -126, -208, -324, -480?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*r = -12, 5*c - c + 3*r - 22 = 0. Let p be 12*1\/c*1. Suppose 108 = -p*f + 6*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -765 divided by 13\nAnswer: -765\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = g + 13. Let f(u) = -3*u**2 + 9*u + 4 - u**2 - 7*u + u**3. Let x be f(g). Solve x + 9 = -2*y - 5*b, 2*y = -2*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 9. Let t = p + -9. Let g(k) = k**2 + 1. Let o be g(t). Which is smaller: o or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 7 = o, -7 = x + 3*o + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2447032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*q - 5*i, 3*q + 40 = -3*i + 10. Let f(b) = 7*b**2 - 2*b**2 - 3 + 10*b - 3*b**2. List the prime factors of f(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 2 + 2 + (o - 5*o + 3*o)*(2*o + 0 + 0) + (3*o - o**2 - 3*o)*(3 - 5 + 3) - 94 - 44*o**2 + 94.\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 245 + -247.02. Let r = f + 0.02. Let u = 7.3 + -7. Which is the second smallest value? (a) 2 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220321303 - -31?\nAnswer: 1220322000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 33. Suppose 1961 = 127*p - 3285 + 547. Let k(h) = -i*h + p*h - 12*h - 12*h. Let f(x) = -11*x**2. What is k(f(w))?\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14997678, -29995354, -44993030, -59990706, -74988382?\n\"Answer: -14997676*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - 2*x**5 + 3*x**5 + (3*x**2 - 3*x**2 + 2*x**3)*(2*x**2 - 3*x**2 + 3*x**2) - 2*x**5 + x**5 + 3*x**5 + (-x**5 - x**5 + 4*x**5)*(-4 + 4 + 6).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 28*n**2 + 20*n + 19. What is w(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 + 2*b. Let y be 3 + 0\/(-2) + (-13 - -11). Let q be f(y). Solve 4*n - 2*g = -14, 5*n + 3*g - q = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6 = y + f, -3*y + 20 = 4*f. Let x be y\/(-16) + (-2)\/(-8). Let a = 7\/20 + -93\/380. What is the closest to x in a, -4, 5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/15 + 3\/(-9)*2. Suppose n = -n - v + 1342, -h*n + 2*v = -2027. Is n 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 5:49 AM and 11:07 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76128 and 48.\nAnswer: 76128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 62000000 = -0*o. What is o rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 540 = -5*y + 13, y - 125 = -4*z. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23509526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93691*l**4*n - 133*l + 634*n - 1 wrt l.\nAnswer: 1124292*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -58*y**2. Let s(x) = 31*x. Determine s(d(k)).\nAnswer: -1798*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 2*(-219)\/78 - 3. Are -1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaga. What is prob of sequence ga?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -105, -184, -295, -438, -613, -820?\n\"Answer: -16*m**2 + m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7205, 7199, 7193?\nAnswer: 7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:09 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 67 = a, 4*a = -5*v + 7*v + 286. Suppose -5*j + j = -a. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 343\/5, 0.047, -4, 5, -2\/17.\nAnswer: -4, -2\/17, 0.047, 5, 343\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from vvmmvmvvvvv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.7028533 - -5\nAnswer: 2.2971467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1858951 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 768259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*s = 6*z + 46542, z - 4*s = 46539. Is 59 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51347254 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i\/i**(-3\/5)*i**(-2\/21)*i**(1\/4)\/(i*i\/((i**(-2\/5)*i)\/i)*i*i) assuming i is positive.\nAnswer: i**(-271\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3188 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3892, -3888, -3910, -3970, -4080, -4252?\n\"Answer: -2*c**3 - c**2 + 21*c - 3910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.325 in 0, -2\/7, -2\/3, 2, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 265 - 949 = 0. Suppose 14*i - 10*i + 3*f = r, 2*i = -4*f + 88. Calculate the remainder when 131 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.1? (a) 3 (b) -13 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 142135?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from sezpisew.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 6. Suppose 5*f - 35 = -2*h, -s*h + h + 50 = 5*f. Suppose 5*j - 394 = b, -147 = h*j + b - 543. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 6:02 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 53*y + 363. Determine i(56).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - l - 2 + 2*l + l - 5*l - l + 4*l - 2*l - 3*l + (0*l + 2*l + 0*l)*(-2 + 3 - 3) - 2 + 2 + 4*l.\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0)\/(2\/1). Let u(l) = -141*l + 1548. Let p be u(11). Is 94 - (p - (-6 - (o + -1))) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 68823?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1)\/(5*sqrt(27)\/sqrt(3)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5630 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 589*w - 185. Let i(o) = 197*o - 65. Calculate 4*g(p) - 11*i(p).\nAnswer: 189*p - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 326247673*j**2 + 218846036*j wrt j?\nAnswer: 652495346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:52 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 3*x - 3*g + 41, -2*g = x - 44. Let t be 2\/((48\/18)\/8). Calculate the greatest common divisor of t and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47179, 54103, 61027, 67951?\nAnswer: 74875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 776*p - 775*p - 82441, p = 1. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9956*i - 5. Let n(d) = 4960*d + 2. Determine 2*j(w) + 5*n(w).\nAnswer: 4888*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -38. Let t = -13 - w. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*m**3 + 32*m**2 - 189*m - 1735478 wrt m?\nAnswer: 21*m**2 + 64*m - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6975196 and 98.\nAnswer: 341784604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-14) + 3 - (-2)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-1*2\/5)\/((-15)\/600)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/10 - n**4\/4 + n**3 - 5*n**2\/2 + 8*n. Let o be q(-4). Let p = -47 + o. What is the smallest value in -4, -12, p?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300046234 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2056125522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*p**3 + 73*p**3 - 4 - p + 134*p**3 + 19*p**3 to r*p + w*p**2 + o*p**3 + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 11. Let x be w(11). Solve 5*v + 11 + 4 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epyy when four letters picked without replacement from ypeepyeeeeypyyee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 62 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1674 + -1674.000019394. Round x to 7 dps.\nAnswer: -0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + q + 16, 5*w + q + 3*q = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 2 + (-1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 4011?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2)\/(48\/20 - 2). Suppose -2*h**2 + 16 + x*h - 20*h + 0*h + h = 0. What is h?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/3)\/(4\/(-90)). Suppose i - 4*i = f. Let k be 28\/i - 29\/(-35). Which is the second smallest value? (a) k (b) 1\/5 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12682, 12679, 12666, 12637, 12586?\nAnswer: 12507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-18) - (1 - -12))*4\/(-6)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/9 + 1610*z\/9 - 11123\/3.\nAnswer: -(z - 1589)*(z - 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1351 + -3?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + 4 + 4 + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 22. Suppose -l + 1 = 3. Let f(d) = d - 1. Let m(b) = 4*b - 2. Determine k*m(x) + l*f(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/3*(-6)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, k: 1, q: 1}. Give prob of sequence uk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 3 (c) -27 (d) -4 (e) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 10*o - 1 + 0 as n*o + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 18 - 9 - 5 - 4.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.6. Let h = 6 - 4. What is the nearest to 1\/2 in 2\/13, h, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 3:16 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21*2\/70 + (-24)\/(-10). Solve -a*d = -f + 3, 8*f + 2 = -2*d + 6*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 10*m - 5. Let r be l(10). Let n = 8 - r. Calculate the highest common factor of 91 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/4 + 8*x**3\/3 - x**2 - 12*x + 4956. What is j(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(132))\/sqrt(12) - 1*2*sqrt(33)\/sqrt(3))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/((-30)\/(-75)). Suppose 7364 = x*v - 0*v. What is the units digit of 4\/(-18) + v\/126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8830092121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = a + 93. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 44. Let c = -61 - o. Sort c, 3, 0.3 in ascending order.\nAnswer: 0.3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2 + 5*d**3 - 3 - 6*d**3. Let i(g) = -12*g**3 + 11*g - 2. Let v(t) = -4*t**3 + 3*t - 1. Let w(u) = -2*i(u) + 7*v(u). Calculate 2*w(m) - 6*x(m).\nAnswer: -2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 88 = 4*d - 4*w, 4*w + 70 = 3*d. Suppose 36 = -5*x + 2*b, 0 = 4*b - d + 6. Is (13*x)\/(-3) + -2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a**2*d**2*q**2*x + 2*a**2*q**3 + 125*a**2*q + 2*a*q**3*x + d**2*q**2 wrt x?\nAnswer: -9*a**2*d**2*q**2 + 2*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -209. Let w = -15 - -10. Let q be (-63)\/(-5) + (-2)\/w. Calculate the greatest common factor of i and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-1)\/5)\/(2\/(-5)). Let k = -28 + 58. Solve c = -2*z - 3*v + 2, 0 = z + z - 5*v + k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1500? (a) -35 (b) 28 (c) -0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let y = 5.12 - 0.12. Let a = 4.6 - y. What is the closest to 0 in a, -4, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2138850503 + 213*z**2 - 2138850503.\nAnswer: 213*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 8*k + 2. Let b be w(8). Suppose 5*d + 3*j = 7, 6*d + 12 = 2*d + 2*j. Calculate the smallest common multiple of d\/(-2) - (-7)\/b and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 11*d**4\/24 - 73*d**3\/6 - 5866*d**2. Let o(b) = -5*b + 36. Calculate 13*o(w) + 6*q(w).\nAnswer: w + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2171933, 8687754, 19547457, 34751042, 54298509, 78189858, 106425089?\n\"Answer: 2171941*l**2 - 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.9 or 37557?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -20*n + 108. Suppose 0 = -2*s - 0*s + 100. Let u = s + n. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.2, 39, 2.7?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6 = -4*d, -6 = -2*v - 12*d + 11*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 8 = -4*u, 2 = -12*f + 11*f - 3*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -2*3\/18. Let m(h) be the first derivative of -n*h**3 + 0*h - 1 + h**2. Determine c so that m(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 316 + (0 - (-4)\/(-4)) - -4. Suppose q - 97 - n = 0. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10\/(-3)*-2661 + 188 + -179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/22)*w*w)\/w)\/w)**(-4\/11)\/((w\/(w*w*(w\/(w\/(w*w**(-49))))\/w))\/(w\/(w*w**(1\/47)))) assuming w is positive.\nAnswer: w**(-273191\/5687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144515 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*3*sqrt(1377)*-3 + -4 + 3 + sqrt(1377)*3))**2*1.\nAnswer: -13608*sqrt(17) + 21861288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1832192 meters in millimeters?\nAnswer: 183.2192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2139\/(-161))\/((-2)\/14*1) and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55.5 - -54.62. Let p = b + 34.26. Round p to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21.2, 2\/9, -1\/669?\nAnswer: -1\/669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2. Let b(o) = -86*o. Give b(r(q)).\nAnswer: 344*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b + 0*b + 2*b + 0*b - b + (-1 - 1 + 0)*(-b - b + b) + 19 - 11 - 10 + 7*b.\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45495867 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*r - 23*r + 3*r to h + a*r and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 981780 and 2595.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 o when three letters picked without replacement from {l: 7, o: 5, i: 3, v: 4}.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and 59\/454697044.\nAnswer: 2273485220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010386 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 38*r - 1099. Calculate l(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100948300 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 77*z**5\/10 - 351*z**2\/2 - 3*z + 9. Differentiate v(d) with respect to d.\nAnswer: 462*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 8*t + 7. Let u be v(-6). Let m(b) = 8*b. Let w = 21 + 3. Let h(l) = 39*l. What is u*h(y) + w*m(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 34*s - 29. Let p be g(35). Let a be -1 - 3 - (-3)\/p*14. Solve a*w + w = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*z - 26, -59 - 161 = -15*z - 20*w - 14 + 44 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/(-6) + -6 - 1963756\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let i = 3.06 - c. Let j = i + -0.059. What is j rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - -1370?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78216 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*l**4 + 15 + 10 - 12 with respect to l.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18173286 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146, -148, -150, -152?\n\"Answer: -2*f - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 43*t**2. Let m(c) be the second derivative of -c**4\/2 - c**3\/2 - 1732*c. Give m(v(h)).\nAnswer: -11094*h**4 - 129*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 22*h**3 - 5*h**2 + 2*h + 13. Let d(i) = 47*i**3 - 11*i**2 + 4*i + 25. Let v(g) = 7*d(g) - 15*j(g). Calculate v(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 5. Let w be 6\/33 + 64\/11. Let u be w\/2 - (-70)\/(-22). Which is the third smallest value? (a) u (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-24))\/(255\/3400)*32\/(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 153876*d**3 - 225960?\nAnswer: 461628*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -31. Let a be (3 - 17\/5)\/l. Which is bigger: -2\/29 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*v - 25355 = -442*v. List the prime factors of v.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/9*j**3 + 235*j - 91\/9*j**2 - 225 = 0. Calculate j.\nAnswer: 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2895741\/229 at least as big as -12645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4366 or -4439?\nAnswer: -4366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i**5 - 96*i**4 + 7673*i**3 + 362186406*i**2?\nAnswer: 900*i**2 - 2304*i + 46038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53700167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2052201.\nAnswer: 2\/2052201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**3 - 10*u - 3*u + 13*u.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 9*g - 7*g - 3*g - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/55 in -0.5, -1, -6\/11, 51227?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 - 3*g**4 + 27*g**3 + 3*g**2 - 60*g + 36 = 0. What is g?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11513 and -3248102?\nAnswer: 3236589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 23*c**2 + 10*c + 2. Give x(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/4)\/1 + 9 + -4. Solve -2*d - 4*q + 4 = 0, -h*q = 4*d - 6*q - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5084 = 11*j + 244. Let l = 54 + j. What are the prime factors of l?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-2\/5))**(-9\/13) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j = -57*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-24))\/((-3)\/(3*6)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 2*y + 1. Suppose 0*g - 2*g + 8 = 0. Let t(c) = -3 + 7 - c - 1 - g. Determine 2*d(h) + 3*t(h).\nAnswer: -2*h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12.2. Which is the third smallest value? (a) -0.4 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*p**4 + 10*p**4 + 8*p**4 - 9 wrt p.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/120*(-12)\/3*81\/9.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 5. Let y(k) = k - 1. Let q(j) = x(j) - 4*y(j). Let g(t) = -2. Let d(n) = -g(n) - q(n). Determine d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 52 = o - 49, 2*o + 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s - 3. Suppose s*p = 5*q + 43 - 13, p - 3*q = 11. Suppose -5*b - 39 = f - p*f, 0 = 4*f + 5*b - 9. What is the least common multiple of f and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**8\/280 + p**7\/105 + p**6\/180 - p**5\/30 - p**3\/6 + p. Let i(o) be the second derivative of b(o). Factor i(q).\nAnswer: -2*q*(q - 1)**2*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 11*z**6\/180 + 6*z**3 - 35*z**2. Let m(v) be the first derivative of l(v). Let p(b) = -b**2. What is p(m(h))?\nAnswer: -484*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 379281909 - -88?\nAnswer: 379281997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - -18. Let p be 1\/2 + (-18)\/a. Let q = 7 - 7. Is p at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than or equal to -1\/2574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4669734 and 395011.\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203982 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 6. Suppose 3*v + 58 + 50 = 0. Let y be v\/(-20) + (-1)\/(-5). Suppose -4*d - 24 = -2*c - 0, -y*c - 2*d = 0. Give z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose 2*r = 12 - y. Suppose -3*b + r*b + 76 = 4*s, 5*s - 60 = -5*b. What is the remainder when s is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 5*c - 80*c + 803 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277307 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125)*-1)**2 + 3 + (sqrt(125) - (sqrt(125) + 1)**2).\nAnswer: -15*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 17*y + 14. Let a(t) = -2*t**2 - 16*t - 16. Let r(n) = -3*a(n) - 2*s(n). Find m such that r(m) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 + -3. Let r = 2.4 - s. Let m = -0.4 + 1.4. Which is the third biggest value? (a) m (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2549\/15 + -323\/15. Let m = v - 4757\/30. Find the common denominator of 77\/8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 3*o - 2. Let n be q(-6). Let a be -3*2*(-5 + -7). What is the common denominator of (n\/a)\/(4\/30) and -79\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8172 and 0.7.\nAnswer: -8171.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/2*8\/(-18). Let p = -116\/15 + n. What is the third biggest value in 1, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/3 - 214000*j**2\/3 + 1906310648*j + 99321132768 = 0.\nAnswer: -52, 53526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqep when four letters picked without replacement from {r: 1, p: 1, n: 2, e: 1, q: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 9*u**2 - 8*u + 24. Let i be b(-10). What is the third derivative of i*p**4 + 7*p**2 - p**4 + 14*p**2 + 7*p**2 wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -75, -77, -79, -81, -83?\n\"Answer: -2*b - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -4*o. Suppose 0 = 2*w + 2*w - o*n - 331, -5*w + 400 = -n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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 u = 6.5 + -5.5. Which is the smallest value? (a) 2 (b) u (c) 6 (d) 0.2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54401, -0.4, 2, 2\/31.\nAnswer: -4, -0.4, 2\/31, 2, 54401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 = 2*r, z - 42 = 4*r - 6. Let c be 2\/9 + r\/36. Let p be (0 + -6)\/(-3) - c. Solve 13 = -0*j + 3*j + 4*v, p = 2*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12829 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 281470051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3965 + 3969. Solve 0 = h, -2*i - h = -q*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 16 = -k. Suppose -k*j - 60 = -4*y, 4*j - 59 = y - 4*y. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -26. Let n(p) = -p**3 + 2*p**2 + 2*p - 2. Let r be n(y). What is the second derivative of -3 - 6*x - 3*x**r - 3*x + 3 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, d: 5, j: 3, t: 1, o: 1, p: 1}. What is prob of picking 2 j and 1 t?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-9555)*45*-7.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r - r**2 + 31 + 2*r - 9 - 4*r. Let s be j(20). Let f(v) = v**3 + 2*v**2 - 4*v - 2. Let n be f(-3). Put s, 4, n in decreasing order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 29*z - 82. Determine o(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.34 - 0.27. Let o = 0.47 - i. Let n = 842\/5 - 169. Put n, -4, o in descending order.\nAnswer: o, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:43 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebiaeb. What is prob of sequence ieea?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -338*i - 4054. Calculate a(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*p = 76, -2120 = -27*g - 4*p - 1924 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/3 (b) -4\/7 (c) 12 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23216 + -5?\nAnswer: 23211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - ((-51 - -28 - -8 - (-3 - 0)) + 7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 + 4*j + 1. Let h(c) = 604*c**2 + 629*c - 7. Let q(y) = 2*h(y) + 14*i(y). What is the second derivative of q(l) wrt l?\nAnswer: 2332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35082927 and 17009904.\nAnswer: 561326832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*p**2 - 45*p**2 - 39*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101768252\/4119295 - -3\/823859. Let m = r - 123\/5. Let l = -0.4 - -0.4. Sort 4\/3, m, l in descending order.\nAnswer: 4\/3, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 5*i**3 + 3*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 49. Calculate the greatest common factor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 139768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 43*h + 162 = 0. Let x = -77 - h. Solve -2*f - 6 = 0, -f - x*f = 2*o + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(425)*1 + 4 + (sqrt(425) + ((sqrt(425) + 1 + sqrt(425))*-5 - sqrt(425)) - sqrt(425) - sqrt(425)))**2.\nAnswer: -200*sqrt(17) + 42504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -1\/5, -3\/5, -79?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1075 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 2. Let j be f(4). Suppose -3*s - 136 = -5*s. Suppose 0 = -6*x + j*x + s. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -747\/5 - -150. Let z = -4388.1 + 4388. Let o = 2\/81 + -89\/324. Which is the closest to o? (a) 1 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162169 and 250.\nAnswer: 40542250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 9*l**2 + 1. Suppose 4*f - 3 = 2*a + 29, 53 = 5*f + 4*a. Let b be y(f). Is b greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62057 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -371910*d**2*y + 2*d**2 + 2*d + 9843 wrt y?\nAnswer: -371910*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 14431*t + 18 = 14430*t, 2*s - 3*s = -5*t + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.006 (c) 1\/3 (d) -1\/8 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 400 + 1\/4*u**2 - 20*u = 0. What is u?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*i - 44*i - 1075 + 89*i + 74.\nAnswer: i - 1001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65\/3 + 22. Let j = 10 - 10.1. What is the closest to -2 in j, y, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/120 + b**5\/10 - 5*b**4\/24 + b**3\/6 - 5*b**2. Let o be i(5). What is the greatest common factor of 7 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16439, 32587, 48735?\nAnswer: 64883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -60\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*g + 197. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q - q. Let y be ((-2)\/q)\/(2\/(-34)). Let i = y - 9. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -769 in increasing order.\nAnswer: -769, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 424633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y - 10. Let k be s(-4). Suppose -i + k = 4. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -7.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 38*q + 1549. Determine g(-63).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -l + 117, 7*q + 5 = 2*q. Let s = l + -78. Suppose 4*a + 0 = s. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1051792224*n**5 - 21289713*n - 10?\nAnswer: 21035844480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -108063.3 to the nearest one thousand.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459 plus -10433131314?\nAnswer: -10433128855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4768 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -3294 and 0.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u = 60*u - 52*u - 123 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70157 divided by -655.\nAnswer: 70157\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 0)\/((-4)\/10). Let f(g) = -g**3 - 8*g**2 - 3*g - 9. Let m be f(-8). Let n be (-1)\/4*(175\/(-25) - -7). Sort n, m, q in ascending order.\nAnswer: n, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/(y**(-2\/23)*y)*(y**(-1\/2))**44)\/((y*y**(-1\/4)*y*y)**37)**39 assuming y is positive.\nAnswer: y**(-1835751\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.006291 - 48.047709. Let z = 49.19 - 1.19. Let g = z + i. What is g rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 536 + -3912?\nAnswer: -3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.98027206 - 11041.\nAnswer: -11038.01972794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 2*y**2 - 2*y - 1. Let s(t) = 2*t**3 - 15*t**2 + 3*t - 18. Let b(j) = -i(j) - s(j). Let w be b(17). Solve u = 3*l - w*u, -u = 4*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k - 25144*k**3 - 6*k**4 + 25150*k**3 + 12*k**2 - k - 3*k**5 - 6 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00823646 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y. Is d(18) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1 + sqrt(208) - sqrt(208)) + -5 - 2*(sqrt(208) + 0)) - (sqrt(208) - ((sqrt(208) + sqrt(208)*-3)*-4 + sqrt(208)) - 1*(-1 + sqrt(208))))**2 + -5.\nAnswer: 3864*sqrt(13) + 92252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 6*o + 12. Determine b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1026505192 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(((-2*sqrt(280) + sqrt(280))\/sqrt(8))\/sqrt(7) - -1*(4 + sqrt(20))))**2.\nAnswer: 54*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -b3a?\nAnswer: b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s**2 + 571*s + 50. Let i be m(44). Factor -18 - 1\/2*a**2 + i*a.\nAnswer: -(a - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/((-1538)\/(-28453))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12060.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 5, 20, 4\/7, -0.031 in increasing order.\nAnswer: -121, -0.031, 4\/7, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -42, -94, -184, -324, -526?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/30 + (-43907)\/39492. Let x = -3\/4388 - j. Calculate the common denominator of (-21)\/(-9)*22\/12 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 19*u + 23*u - 2 + 0*u.\nAnswer: 46*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/49 in -5, -2\/7, 3.3, -1\/9, -0.32, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2802 (base 13) to base 8.\nAnswer: -13164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1046 + 1691 - 822)*(n - 2*n + 2*n).\nAnswer: -177*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3107530201 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/61 in 4.6, 1, -1\/882, 10, -0.3?\nAnswer: -1\/882","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 88 in decreasing order.\nAnswer: 88, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24611\/7 + 3483. Let w(y) = 7*y - 159. Let n be w(18). Is t less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:52 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gccjgggjzpccgjtgtg. What is prob of sequence pjz?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 990808\/130 + (-4)\/(-60)*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2*d - 2*d + (d - 1 + 1)*(4 - 2 - 1) - 209*d - 26*d + 55*d - 94*d as f + z*d and give z.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, n: 3, t: 1}. What is prob of picking 2 a and 1 n?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554\/3885*(-20)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79, -97, -115?\n\"Answer: -18*j - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 33 = -186. Calculate the remainder when w is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/8 (c) -2122\/211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 69. Let q be (-2)\/(-9) - (-3)\/y. Let j = 1.9 - 2. Is q at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 204*i - 2. Calculate j(1).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 2*f + 4. Calculate a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 771 = 5*s - c, 3*s = 5*c + 453. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*g + 107*g = -y + 7, g = -5*y - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1142 (base 5) to base 2\nAnswer: -10101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -9.3. Let a = 0.01 - -12.99. Let s = a + m. Sort 2\/9, -3, s in descending order.\nAnswer: s, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4338025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 84805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/139266 and -101\/46422.\nAnswer: 139266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(84\/(-7)*(44\/(-55))\/(176\/(-165))).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofonwda. What is prob of sequence owa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10880 + 16437. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266192838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20478.9 - 20479. Which is the nearest to 2\/7? (a) -12 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3069 and -163\/256402674?\nAnswer: 256402674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185647 + 199603 = -3082*z for z.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -348243*i**2 + 1449*i - 8694. Let k(f) = 962*f**2 - 4*f + 24. Give -8*a(d) - 2898*k(d).\nAnswer: -1932*d**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:16 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 12 = p. Suppose p*u - 95 = -13. Let h = -12 + u. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.053 - 45.053. Let a = 23 + t. Is a > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46769 (base 10) in base 14?\nAnswer: -13089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 smaller than 146710\/297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (14 - (45 - -23)) - 5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/4 + 2*x**3\/3 - x**2\/2 - 2*x - 10. Calculate v(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -107677, 4, -14 in decreasing order.\nAnswer: 4, -1, -14, -107677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63756\/(-135))\/(-28) + 18\/135.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/30849 and 181\/23730.\nAnswer: 308490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -3, 170, 565, 1260, 2333, 3862, 5925?\nAnswer: 8600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 100. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 133*k + 77. Let r(i) = 7*i + 4. Let o(m) = -4*h(m) + 77*r(m). Let z be o(2). Let q = z - 5. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10189 and 1081.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -110*g - 926. Let b be f(-9). Solve 163 - b = 33*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -43 + 8*p - 16*p + 4*p + 5*p. Let h be m(-5). Calculate the common denominator of ((-2)\/(-9))\/1*1212\/h and -37\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-195 - (-5 + 3))\/(-1). Let v = -189 + y. Calculate the remainder when 9 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k + 1260*k**3 - 2*k**2 - 1379*k**3 + 28*k - 56*k.\nAnswer: -119*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*s - 116 - 516. Solve -s = -5*a + 2*d, 0 = -5*a + d + 12 - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.57 (b) -2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vbvvbvvvbvvvvv?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - (-14 + ((11 + -2 - 21) + 14 - -21))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*i + 1238*i - 704 = 624*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1542 and -83\/17990.\nAnswer: 53970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**3 - o**3 - 2*o**3)*(-264 + 520 - 264) + (0 + 0 - 2*o**2)*(-2 - 2*o + 2) to the form t*o + b*o**2 + z + q*o**3 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 16*o + 12. Let s be b(-16). What is the second biggest value in 2, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 <= -0.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 268978\nAnswer: -3\/268978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*((i\/(i\/(i*i**(1\/2)*i)))\/i)\/i)\/i)\/i)\/i)\/(i\/(i\/(i*(i**6\/i)\/i)*i)))**(4\/33) assuming i is positive.\nAnswer: i**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 36. Let x = 271 - 258. Suppose x*i - 1715 = 6*i. What is the remainder when i is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110112020222 (base 3) in base 4?\nAnswer: -330030332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -2017393.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6912 and 1539?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) 0 (d) -2\/9 (e) 28 (f) -893\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15450 and 810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**(5\/6))\/m*(m\/m**(-6\/13))\/m*m\/(m*m**(2\/5)*m*m)*m**21\/m)**(-14) assuming m is positive.\nAnswer: m**(-57043\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 12 = -2*d, -53 = 5*r - 24*d + 72 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - u - 2. Let f(h) = h + 5. Let p be f(-5). Let l be b(p). Let x = l - -7. Put x, 0, -5 in increasing order.\nAnswer: -5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/31760 and 209\/231840.\nAnswer: 92040480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 = 2. Let r be (-4)\/((10\/(-15))\/t). Calculate the common denominator of -18 and r\/27 - 2415\/54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 2*p**2 + 3. Let q be b(-3). Suppose 0 = -o - 4*l + 22, 2*o + 3*l - l = 20. What is the greatest common divisor of q and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + -0.17. Are 15 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {e: 2, y: 2, w: 1, x: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, -25 in increasing order.\nAnswer: -25, -16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8730414 divided by -77.\nAnswer: 113382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8984921 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhh when four letters picked without replacement from ffhhfffhfffffhffhff.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/19 - 3718290*f\/19 + 3718292\/19 = 0. What is f?\nAnswer: -1859146, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.2 + -21. What is the biggest value in -6, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 150, 248, 520, 1056, 1946?\n\"Answer: 15*h**3 - 3*h**2 + 2*h + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j + 12*j**3 - 3 - 22*j + 37*j - 2*j**2. Is k(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -17*r**2\/2 + r + 1438. Let x(s) = -52*s + 4. Determine 10*g(b) - 3*x(b).\nAnswer: -14*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.77, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 152176 divided by 108\nAnswer: 38044\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 617402 and 0.2.\nAnswer: 123480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -6*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)**(19\/6))**(-40) assuming u is positive.\nAnswer: u**(-380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 less than 1293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 40. Let b(q) = -7*q**3 + q**2 + q. What is the remainder when p is divided by b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 175?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -7, -4 in increasing order.\nAnswer: -7, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144125 is divided by 157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 72 = 5*d, -77*v = -79*v + 3*d - 42 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (7 - (0 - 0)). Suppose -3*x - 9 = 0, p + 2*x + k + 3 = 0. Which is bigger: p or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 2575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:04 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14597 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/((-5)\/(-240)). Suppose v + 4 = 0, 0 = -0*f + 5*f + 2*v - c. Suppose f*u - 48 = 2*u. Calculate the least common multiple of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:56 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 1 (c) 6948 (d) -0.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17451 - 115?\nAnswer: 17338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppuuppppppp. Give prob of sequence upup.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 4*v**2 + 2*v - 4. Determine b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1018719198 divided by 56595511.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -672, -1007, -1342, -1677?\nAnswer: -2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9966 and 7898484?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*t = -5, -n + t + 25 = -0*n. Let c = -6 + n. What is the remainder when 12 is divided by (-51)\/(-7) + (-4)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 - 0.5. Let r = -7430\/53 + 140. Let p = 83\/159 + r. What is the fourth smallest value in p, a, -1\/5, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -45*w. Let m be c(-5). Suppose -5*j + m - 55 = 0. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 9*b - 132*b**2 - 9*b.\nAnswer: -126*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42593, 5, -5?\nAnswer: 42593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -5, 2, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3792505 + 508795?\nAnswer: 508790.6207495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*c - 19, 0 = -h - 2*c - 6 + 1. Suppose 5*f - 10 = h*f. Suppose -f*o + 4*v + 1045 = 136, -o + 177 = 4*v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 860 and 0.047.\nAnswer: 860.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let q(h) = -81*h - 80*h + 157*h. What is x(q(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40651784*m + 286321170 wrt m?\nAnswer: -40651784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19733 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*(870\/(-1015))\/((-8)\/700).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least as big as -889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5436*k**4 + 2307*k wrt k?\nAnswer: -65232*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*r - 2968*r + 765*r.\nAnswer: -2919*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:35 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o. Let c = o + 2. What is the remainder when 24 is divided by ((-130)\/(-20))\/(c\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 4*o**2 - 12*o + 1. Suppose 2*q - 25 = 7*q. What is the tens digit of l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let n = -6 + 6.3. Put n, y, -1\/4 in descending order.\nAnswer: y, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - q + 1, 3*a + 32 = 19*q - 15*q. Put 5, -42, -3, a in decreasing order.\nAnswer: 5, -3, a, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 - 3*c**2 - 3*c + 3. Let m(h) = -h**3 - h**2 - h + 1. Suppose 23 = 3*n - 1. Suppose -26 = 5*i + 3*a - n, 8 = -i - 5*a. What is i*m(d) + x(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 6 = 16*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.8 + 23. Which is the third smallest value? (a) w (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186636 + -47.\nAnswer: 186589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**2 - 910*a + 41405 = 0.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -953*s = -955*s + 826. Suppose s = 18*d - 1153. Solve -d = 3*n - 96 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32499?\nAnswer: 3, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -111*y - 4. Let t(c) = -139*c - 5. Let b(a) = -5*n(a) + 4*t(a). Let u(s) = -31*s**3 - 4*s. What is 4*b(p) - u(p)?\nAnswer: 31*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21749\/60 or -363?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6279*b**3*x**2 + 264079*b**3*x + 13863*x**3 - 669*x wrt x?\nAnswer: -12558*b**3 + 83178*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 19 = 2*f - 5*s, -s = -4*f + 48. Let i = 37 - 29. Let z = i - f. Sort z, 1, -2 in decreasing order.\nAnswer: 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*z**3 - z**3 + 0.\nAnswer: 2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64104\/502148*(-2)\/12.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 380\/(-7) - (-2)\/7. Let s be (-3 + -128)\/((-35)\/25) + (-4)\/7. Let x = o + s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2710 + -2?\nAnswer: 270c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 51 - 102 - 87*y**2 + 89*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 611*s - 526*s - 1105 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a + -3255?\nAnswer: -3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -7 + 4 + -2 + (-18)\/1722. Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yff when three letters picked without replacement from sysfrqfu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-21)\/(-9) - (-187)\/255.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**3\/3 - l**2\/2 - l. Let h(j) be the first derivative of -j**2 + 663. Determine f(h(p)).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - -0.26. Which is the third biggest value? (a) 3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37962*f**3 + 24*f**2 - 9*f - 3.\nAnswer: -227772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/5))**(-48) assuming m is positive.\nAnswer: m**(-288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -240*i**3 - 4 - 202*i**3 + 3 - 491*i**3 to w + s*i**3 + k*i**2 + y*i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05916815? (a) -2 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2555 by -35.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-896)\/(-164)) + (-16 + 14)\/32\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 15b8?\nAnswer: 15c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*y*(y*y*y**(-1\/12))\/y*y)*y)*y*y**7*y*y)\/(y**(-28)*y\/(y*y*y**(-1\/15)*y)*y))**45 assuming y is positive.\nAnswer: y**(7713\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47221 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: Which is the nearest to 0.2? (a) 0.4 (b) 21 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*k = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 11*w**2 + 12*w - 12. What is the remainder when 31 is divided by d(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/2 - 14973\/(-434). Solve -28*p = -y*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-14)\/8*12. Suppose 23 - 25 = -u. Suppose 2*y = -u*i + 14 + k, -20 = -i + 3*y. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3))**(2\/69)\/(l\/(l**3\/l)*l*l**6))\/((l\/((l*l\/l**(2\/3))\/l))**43\/(l**1)**(1\/25)) assuming l is positive.\nAnswer: l**(-179093\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:03 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 + 855*g\/8 + 21177.\nAnswer: (g + 312)*(g + 543)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-2)\/6)*-3. Suppose 21 = 4*i + 5. Suppose -3*z = -i*y + 18, d*y - 3*y - z = 4. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -37. Solve 0 = -0*n - 3*n - 4*t - 4, -t - o = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let w(l) be the second derivative of -l**5\/10 - 95*l**2\/2 - 4*l + 15. Let x(n) be the first derivative of w(n). Calculate x(c(y)).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 25 + 38. Let w(r) = 10*r - 12. Let y(m) = 21*m - 25. Let o(n) = 7*w(n) - 3*y(n). Let q(h) = -3*h + 4. Calculate l*q(u) - 4*o(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 13*j + 87. Let g be w(-5). Calculate the highest common factor of 1116 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 6\/((-30)\/155). Let l be (1 + 21\/(-15))*g. Let w be l\/(-42)*7\/(-3). What is the nearest to w in 1\/4, 0.5, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -85*p + 17. Let r be g(-11). Suppose -13*c + 569 = -r. Does 57 divide -3 + (-8)\/((-8)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011110100010100010 - -11101?\nAnswer: -10000011110100010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w**(-2)*w*w))*w*w*w**(-21))\/(w\/(w\/(w*w*w\/w**(-16\/7)))*w*w**(6\/19)) assuming w is positive.\nAnswer: w**(-3538\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 - 98 + 48 = -38*v. Solve -22 + 3 = v*d + c, -35 = 5*d + 5*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u**2. Let d(m) be the first derivative of 4*m**3\/3 - 60. Give h(d(b)).\nAnswer: -192*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022\/35 - (-3)\/(-15) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from innxnnninnnnss.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -463, -0.65 in descending order.\nAnswer: 0.09, -0.65, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 1. Determine g(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 31. Calculate the remainder when 1 + (4*3 - 3) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -4*y + 319. Let z = y - 51. Which is smaller: z or -2\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9514 and 14975462?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-4)*(-4)\/(-6). Suppose 5*s + 2*z - 34 = 0, -16 = -t*s + z - 0*z. Let q(h) = h**3 - 7*h**2 + 8*h - 9. Determine q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:03 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/1275318 and -13\/198.\nAnswer: 1275318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.66888 - -1.46888. Let f = 2 - 1.8. What is the smallest value in 7, h, f, 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**4\/4 + 21*h**2 - 2. Let z(i) = -19*i**2. What is z(p(s))?\nAnswer: -684*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 252\/5. Which is the nearest to 1? (a) -0.2 (b) -2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 24 = -3*b, 23*b - 5*z = 24*b + 22. Suppose -5*d - 21 = -2*d - b*i, -3*d - 13 = -i. Let q = -3 - -2.7. Sort d, 12, q in descending order.\nAnswer: 12, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/2318?\nAnswer: 1\/2318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -121 (c) 0.4 (d) -2\/19 (e) 11 (f) 1\/3 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28422?\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167.067 + 6.487. Let z = b - -159. Round z to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in -2\/17, 2\/11, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 94 + 514c8?\nAnswer: 5155c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + ((sqrt(21)\/(sqrt(15)\/sqrt(5)))**2 + sqrt(7) - (sqrt(7) - (sqrt(1008) + 0)**2) - ((6*(sqrt(7) + 0) - (sqrt(21)\/sqrt(3) + 0)**2) + 1)))*-2.\nAnswer: -2040 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from mmmmllmujjlumlj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - p)*(-p + 2*p + 2*p) + (3 + 3 - 2)*(3*p**2 - 2*p**2 + p**2).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/112 and -3\/1580.\nAnswer: 44240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.199 + 2.499. Which is the second smallest value? (a) 0.02 (b) -3 (c) 0 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Find the third derivative of 5*m**3 + m**3 + 2*m**2 - m**t - 2*m**3 wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 3*n + 33. Let s be b(8). Let v be -1*(-3)\/(-6)*6\/(-3). Sort s, 6, v.\nAnswer: s, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/6 - -4)*((-9128)\/(-910) - 10).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -52) + (-17 - -2) - 18.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 2, u: 4, d: 4, w: 6, b: 2}. Give prob of sequence bdbt.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2800 and 300.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5829.241 decades?\nAnswer: 699508.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 71. Let l = o - 80.2. Let y be 4\/10 + (-18)\/20. What is the closest to -1 in y, l, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2.0592 times -1.26\nAnswer: -2.594592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805220 is divided by 112825?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 2*i - 3*i. Let l(z) = -3*z**2 - 4*z. Let y(o) = -2*o**2 - 3*o. Let w(b) = -3*l(b) + 4*y(b). Determine k(w(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 8*n**2 - 60*n - 144.\nAnswer: 4*(n - 4)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3244 + 3921. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -28*m + 255. Let j be p(9). What is the smallest common multiple of 3*j\/(-9) - (6 - 286) and 6?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -26*u**2 + 1765*u + 212. Calculate k(68).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(-10)*x*x**(3\/10)*x*(x\/(x*x\/x**(-4\/9)))\/x**(-1\/5) assuming x is positive.\nAnswer: x**(-125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 18*m**2 - 47*m + 334. Let z be n(-21). Put -5, -22, 6, z in decreasing order.\nAnswer: 6, z, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 969200 to the nearest ten thousand.\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-9)\/(-7) - 50\/175). Suppose -g*o + 20 = -2*o - 4*f, -o = f. Factor -10*u - 9*u**2 - 7\/2*u**3 - 1\/2*u**4 - o.\nAnswer: -(u + 1)*(u + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-3) + 64\/6. Let y be 55 - (h\/(-3) - -4). Suppose 4*m - 33*l + 34*l = 86, 5*l + 10 = 0. Calculate the greatest common factor of m and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 2*c - 37. Let z be t(0). Let g = z - -56. Let l be (1 - -4) + -3 + g. Is l less than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.39 - 20.69. Which is the closest to 0.5? (a) -3 (b) s (c) -1\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 107 - 10 = -4*v, 0 = 2*j + 3*v - 48. Solve j*c - 19*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1978375 divided by -1\nAnswer: 1978375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*n - 5. Let z(r) = 8*r**2 - 5*r + 7. Let j(k) = -7*k**2 + 4*k - 6. Give n*z(a) + 6*j(a).\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b5 - -1?\nAnswer: 2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -12226148439580.\nAnswer: -12226148439580.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2979.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -818.95, -1\/4, -2\/5, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 602 and 1310.3339019.\nAnswer: 1912.3339019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 13, -0.3, -6, 0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h - h**2 + 10*h)*(-70*h - 64*h + 15*h)*(0*h - 2*h**2 + 0*h).\nAnswer: -238*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44364616 and 6768?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7467*n**2 + 0 - 3 + 65300*n**2 + n.\nAnswer: 57833*n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.91 - -0.09. Let h = -5.94 + y. Which is the third smallest value? (a) h (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*(z*z*z**(2\/7))\/z)**(-20) assuming z is positive.\nAnswer: z**(520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 15\/163?\nAnswer: 15\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/6717, 3\/13, 0.4.\nAnswer: 16\/6717, 3\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0467 - 1635916037.\nAnswer: -1635916036.9533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -314648, -629291, -943934, -1258577, -1573220?\n\"Answer: -314643*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 144184 divided by 36046\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7128634*y**3 + 2*y - 295208 wrt y.\nAnswer: 42771804*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y. Suppose 0*h - 2*h + 20 = 4*o, 2*o - 10 = h. List the prime factors of t(o).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -633.\nAnswer: -2\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 14 - (-12 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500925707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eon when three letters picked without replacement from nnoaeez.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1077.988 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14512 (base 9) to base 11\nAnswer: 7484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 2*p**2 - p**2 - 300*p + 9 + 5*p**2.\nAnswer: -2*p**2 - 300*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22564962 divided by 371.\nAnswer: 60822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = 8*o - 3*m, 3*o - 5*m = 1. Suppose 5*f - 51 = -l, 135 = 4*l - f - o*f. Calculate the highest common factor of 108 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o + 15 = 0. Let h = -2 - o. Let q(r) = 2*r - 1. Let n(s) = 10*s - 4. Suppose -2*a - 28 = -0. What is a*q(g) + h*n(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 2078*p - 12625. Calculate z(6).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/(12\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 134*d**2 + 86*d + 26. Is 43 a factor of m(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4195*a + 4123*a - 8316*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 + 6*v**2 - 9*v + 2. Let p be w(11). Let a(j) = -j + 14. Let o be a(11). Solve o*g + p*g = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose -b*y - 7 = -52. Suppose -27 + y = -2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/13, -144, -10\/41, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -9342933?\nAnswer: 3\/3114311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*q**2 - 113*q**2 + 51*q**2 + (4*q**2 - 5*q**2 + 3*q**2)*(5 - 3 + 0))*(5 - 3 - 1).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2)))**6\/(u\/(u*(u\/(u\/u**(-20\/3)))\/u)*u**25) assuming u is positive.\nAnswer: u**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbib when four letters picked without replacement from {b: 3, i: 5, f: 1, w: 4}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 53*n**3 + 7*n - 49. Let g be 2 - 0*(-4)\/8 - 9. Let s(j) = 26*j**3 + 4*j - 25. Let h(x) = g*s(x) + 4*u(x). What is the first derivative of h(v) wrt v?\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/4 + 10*a**3\/3 - 5*a**2 + 10*a + 19. Let u be t(9). What is the biggest value in 4, u, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867749911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 - 0.07. Let v = 0.4 - z. Let x = -524 + 522. Which is the second smallest value? (a) 1 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -47. Let q be ((-1)\/(-5))\/(((-175)\/350)\/(25\/(-2))). Solve -3 = x, -q*h + h + w = -4*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r - 132436237 - 131235879 + 91686316. Round r to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(2057) - (sqrt(2057) + sqrt(2057)*1)) - sqrt(2057)) + -1*(0 + sqrt(2057) - sqrt(2057)))**2 - (3 + 2*sqrt(2057) + sqrt(2057) + 2 + 0)**2.\nAnswer: -10309 - 374*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 102221110000?\nAnswer: -102221102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 2022488?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**2. Let m(c) = 48*c + 4921. Determine m(y(d)).\nAnswer: 336*d**2 + 4921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*h - 3*h. Let q = h + -14. Suppose -20 = -q*r + 3*t, -4*t + t - 6 = 3*r. Solve -d = -0*d + r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven halves of a century?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -328 + 29507\/90. Find the common denominator of -7\/48 and z.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.5 - 18. Let f = -3 + 0. Which is the second biggest value? (a) j (b) f (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1621\/2856 - -75\/136. Find the common denominator of b and -101\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {i: 2, u: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43926 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 10*d + 12. Let s be j(-6). Let p = s + -164. What is the remainder when 69 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, c: 2, k: 5, f: 1}. What is prob of picking 1 b and 1 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 5*h + h + 8*h - 236*h - 57*h + 0*h - 2*h + 3*h + (-1 + 1 - 2*h)*(2 - 5 + 5) + (2 - 3 + 3)*(0 - h + 0) + 0*h - 2*h + h to w*h + t and give w.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/11 (b) -1\/8 (c) 2 (d) 4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 12 = -42 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 799116080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 1\/2 (c) -2\/9 (d) -4881 (e) -0.1 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13210 and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 166. Suppose 0 = -4527*t + 4427*t + 2600. What is the remainder when q is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 43*r - 588. Let o be y(11). Let j(q) be the first derivative of -6\/35*q**5 + 0*q - 1\/14*q**o + 20 + 0*q**2 + 0*q**3 - 3\/28*q**4. Factor j(x).\nAnswer: -3*x**3*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(4\/(-6)). Suppose 4*i + 4 = 12. Solve a = i*t - 5*c - 4, -2*t + 1 = -c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7.6 (b) -0.4 (c) 1\/12 (d) 0 (e) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5 - 2)*(0*u - 5*u - 6*u + (43 - 6*u - 43)*(0 - 5 + 0)) as p*u + o and give p.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -2 (c) -9 (d) 82 (e) -0.04 (f) 5.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*(-152)\/12. What is the highest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154183 (base 10) to base 9.\nAnswer: 254444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f + 15. Calculate p(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 32*k**2 - 2 - 2*k**3 + k**3 - 24*k**2 - k. What is l(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22786, -22784, -22782, -22780, -22778?\nAnswer: -22776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1134*z**3 + 14*z. Let r(k) = -227*k**3 - 3*k. Determine 6*f(o) + 28*r(o).\nAnswer: 448*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18148, -0.4, 53, 3\/4 in descending order.\nAnswer: 53, 3\/4, -0.4, -18148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -49.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*a**2 + 3*a + a**4 - 3*a + 9*a**2 to f*a**2 + u + c*a + l*a**3 + m*a**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t - 92. Determine w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 73 = -4*g, 12 = 3*g + 3*h - 9. Let d be 4\/g + (-10)\/(-6). Suppose -3*n = -d*n - 5. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 20*b**2 - 20*b + 9. Calculate the remainder when i(4) is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/7940 and 13\/11910.\nAnswer: 23820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59615299 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in 2, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - f + 3*f + (7 - 3*f - 7)*(121 + 132 - 180))*(1 + 2 - 2) in the form p + h*f and give h.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10563.\nAnswer: 3, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = 2*z + 13, 2*s + 6 = z. Let r be (7 + (-12)\/4)\/z. Let f = r + 16. Calculate the smallest common multiple of f and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 6 - (-97 + 516 + -303).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -3*k**5\/10 - 7*k**4\/12 - 8*k. What is the third derivative of m(j) wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1215\/161168 - 2\/1439. Is f less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 2*t + 2. Let p be c(2). Let f be (-33)\/99 + ((-6)\/3 - 21\/(-9)). Suppose p*q + q - 1771 = f. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(3564))\/(-1*sqrt(4)*-2).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -0.2, -2\/13, -0.05, -0.5 in increasing order.\nAnswer: -12, -0.5, -0.2, -2\/13, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627878711.\nAnswer: 627878711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (2 - (-35 + 37)) - 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - o - 65. Let r be a(0). Let w be (-1 - 5840\/r) + (-6)\/(-39). Suppose 5*c - 4*c = w. What are the prime factors of c?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -723?\nAnswer: 506.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -107245 and -23.579?\nAnswer: 107221.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 54. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 11*a**2 - 6*a + 66. Let k be t(11). Solve -2*l + k - 4 = -2*i, -14 = 3*l + i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75.3 - 29.7. Let o = -102 - t. What is the closest to -1 in -16, o, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 4109 + 4109.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 5, d: 1, v: 2, t: 1}. Give prob of picking 1 t, 1 d, 1 s, and 1 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2 - 7. Suppose 0 = 12*h - 15*h - n. Let i be (0 - 110999990\/(-15)) + (-2)\/h. Round i to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.329 - -1.271. What is the fourth biggest value in d, -0.2, 6, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3615 + -3693.9. Put 2, 3, f in ascending order.\nAnswer: f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 647 by 5.\nAnswer: 647\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155883 + 124223. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6060 + 6054. Let z be (-10)\/(-16) + (1 - 2). What is the second biggest value in z, -2\/7, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-2\/13)))**(-2\/41)*((l*l\/(l**(-2\/3)\/l)*l)\/l)**(2\/55) assuming l is positive.\nAnswer: l**(1516\/7995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from fkkkkffk?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:21 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**4 + 3*o**2 + 3*o + 2. Let k(p) = -1 + p - 2*p**4 - 3*p - 2*p**2 + 0. Let m(n) = 3*k(n) + 2*v(n). Differentiate m(q) with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = y + 11442, -9147 = -5*t + 9*t + 3*y. Let u = 13687\/6 + t. Let w = -1949\/888 + 203\/37. What is the common denominator of u and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28953 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 7:22 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12042 + -13?\nAnswer: -12055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -366738061 divided by 6?\nAnswer: -366738061\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 2*c**2 - c - 1. Let a(x) = -4*x**2 - 4*x - 4. Let l(g) = a(g) - 4*r(g). Factor l(n).\nAnswer: -4*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -24. Let z(p) = p**3 + p**2 - 7*p - 8. Let a be z(v). Let g(i) = -30*i + 24. What is the hundreds digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -146.9 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -9 - 79. Calculate the highest common divisor of d and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*j + 2*j**2 + 17 - 17.\nAnswer: 2*j*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 3*t**4 - t**4)*(4*t - 2*t + 0*t) + 0*t**5 + 0*t**4 - 3*t**5 - 2*t**4 + (4*t**2 - 6*t**2 + 0*t**2)*(-t**3 - 8*t**3 + 6*t**3).\nAnswer: t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*s**3 - 6*s**3 + 1.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -422, -1010, -1916, -3188, -4874?\nAnswer: -7022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6 - 8. Suppose -2*m + 30 = -5*f, m - 3*f - n = -f. Solve -m = -5*s + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/54 + 6466\/(-2862)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -18*l + 1. Let d(i) = -6*i. Give -2*a(t) + 7*d(t).\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29733 + -29733.13547. Round s to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 6*p + 10. Let u be l(4). Suppose -u*n + 6 = 4. What is the units digit of n + 1\/((-4)\/(-160))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 4 + 10\/65. Let z = -0.37 + 0.5. Let p = -4.13 + z. Put 5, a, -3\/4, p in descending order.\nAnswer: 5, a, -3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.8. Let w = -597 - -591. Put -1, u, w in increasing order.\nAnswer: w, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 - -128.415. What is p rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 9*j - 142. What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6379 = -3*s, -28*s = -27*s + b - 2127. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2*1 + -1*sqrt(77)*-2 + sqrt(77))*-2)\/(-1*(-1*(sqrt(7)*-2 + sqrt(7)) + (sqrt(63)*-2 - sqrt(63))\/sqrt(9))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/57)*d**(-12\/11)*d**(6\/17)\/d**(-1\/12))**(-3\/7) assuming d is positive.\nAnswer: d**(4201\/14212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26469, -26471, -26473, -26475, -26477, -26479?\nAnswer: -26481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 200*a + 208*a + 54 = 0, 14*a - 30 = -j + 18*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7236 - -7236.051. What is the closest to k in -0.4, 9\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 1, j: 1, v: 2}. What is prob of sequence jjv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.13, 0.04 in increasing order.\nAnswer: -0.13, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 913 - -617. Suppose -2*a - c = -4*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:33 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3 - 6\/(-9). Let z = 2 - 1.6. Which is the closest to w? (a) z (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 15697?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 971*b - 970*b. Let g(h) be the first derivative of -9*h**2\/2 - h - 4. Let a be g(-1). Solve -i = -m + a, -m + b*i + 22 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 52*u + 22. Let m(o) = -13*o - 5. What is -2*h(b) - 9*m(b)?\nAnswer: 13*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-305 - -292) + 4\/(16\/84))\/((-1)\/2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155621 (base 7) in base 6?\nAnswer: 354432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w - 18. Let z(p) = -p**2 - 11*p - 8. Let r be z(w). What is the greatest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2 + 237*r - 234 = 0.\nAnswer: 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 4986768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {v: 1, r: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94.38 + 94.28. Let v(i) = -2*i**2 + i. Let f be v(1). Let s be (-12)\/(-2)*f\/(-2). Which is the closest to s? (a) 5 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.462 - 0.708. Sort -0.3, s, -3\/5, 2\/21 in decreasing order.\nAnswer: 2\/21, -0.3, -3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*p + (-6*p + 2*p + 2*p)*(-4 + 0 + 1))*(-3 + 0 + 1) to h + m*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2221407l in millilitres?\nAnswer: 222.1407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2305 - -1.8\nAnswer: 2306.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 38, 77, 134, 209, 302, 413?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2498.5*45\nAnswer: 112432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a + 497. What is g(-18)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 is divided by 82?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 368 + (4\/18 - 128\/(-72)). Suppose -s + 4*h = -185, -h - d = -2*s + 4*h. What is the remainder when s is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 140200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 2*g**2 - 4*g + 7. Let i be b(0). Solve 5 = -3*y - i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66.571 or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (11 - 0 - (5 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466906*r - 3 + 3 + 733317*r + 733536*r.\nAnswer: -53*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceelleqee. Give prob of sequence qe.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25142 + -25142. Is k greater than 15\/862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Suppose 4*x = m*c - c + 8, -15 = -3*c. What is the lowest common multiple of x and 31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12975)\/1384*(-4)\/6*-8*2\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhg when three letters picked without replacement from hhghhhhhhgghgghhhgg?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 10 = 12*j. Let f(b) = -b - 5. Let h(g) = -g - 4. Let n(o) = -3*f(o) + 4*h(o). Give n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 214.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/5? (a) 0.2 (b) -1 (c) -0.1 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + 1252*b**3 + 4*b**2 - 1255*b**3 + b + (-b**3 + 2*b**3 - 2*b**3)*(2 + 2 - 2) - 2*b**3 - 3*b**2 + 3*b**2.\nAnswer: -7*b**3 + 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:08 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14087*b + 14088*b - 17 = -4*m, -408*b = 3*m - 420 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:31 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19.4817*221\nAnswer: 4305.4557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 264*a**5 + 5*a**3 + 7*a - 67. Let u(r) = 265*r**5 + 6*r**3 + 8*r - 67. Let s(z) = -6*d(z) + 5*u(z). Find the second derivative of s(c) wrt c.\nAnswer: -5180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i. Let g be 1 + -2 - 0\/(-3). Suppose -11*h = 1147 - 3039. Let a(c) = -175*c + 349*c - 1 + c**2 - h*c. What is g*a(n) - q(n)?\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:46 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l - 2. Suppose -11 = l*v - 53. Suppose 0 = -9*h - 2*x + 179, 2*h = -2*h + 2*x + 94. Is h < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b436 - 6?\nAnswer: 9b430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.52878 rounded to two dps?\nAnswer: 4.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1808902 * -415\nAnswer: 750694330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*x - 21*x + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let k(l) = -1 + 4 + 0 + l + 5. Let p(b) = -k(b) + 6*u(b). What is the remainder when p(-10) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 4*l. Let h be x(4). Let p = -1593 + 1595. Solve h = -i - p - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y + 19. Let a(p) = -11*p - 19. Let m(i) = -2*a(i) - 3*k(i). Let j be m(-3). Solve j*n = -4*x - 6 - 7, -3*n = 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1880 - 1159. Let i = n + -717. Let g(o) = -4*o**2 - 9*o. Let f(p) = 5*p**2 + 10*p + 1. Let w(v) = -5*f(v) - 6*g(v). Give w(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/14)\/((-3)\/18). Suppose -8*o - 3 = -q*o. What is the smallest common multiple of 0 - (0\/3 - 8) and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6708 * -121.\nAnswer: -811668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -641*f**2\/2 - 2*f + 8. Let u be j(-3). Suppose x + 4*x + u = 3*c, 4*x = 2*c - 1278. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 - h. Let z(b) = 30*b - 5*b**2 + 8*b**3 - 16*b - 19*b. Calculate -15*d(k) + 3*z(k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*1305\/(-18)*2\/(-5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2. Let a(j) = -1612*j**2 + 2*j - 22. Let o(t) = -140245*t**2 + 175*t - 1925. Let v(l) = -350*a(l) + 4*o(l). What is v(f(d))?\nAnswer: 28980*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -851, 10, 2 in descending order.\nAnswer: 10, 2, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2326063*m**2 - 2326084*m**2 + 0*m + 0*m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50836730 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from kkqclckoplkkkql.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*x**3 - 8*d*x - 126*x**3 + 2*x**2 - 9*x + 117 wrt x.\nAnswer: -6*d*x - 756*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1431851*h**2 - 2731480*h.\nAnswer: -2863702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -23423700 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and ((-16)\/(-12))\/((-5)\/(-165)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -19*u - 15. Let q be (-17 - -15)*u\/2. Let x(s) = 3*s**2 - 2*s - 2. Let t(k) = -k**2 + k + 1. Calculate q*x(d) + 6*t(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 + 373 - 183 + 5*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4122259104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*1 - 1520\/(-7280)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 7*q**2 + 8*q + 80. Let b be m(-6). What is the hundreds digit of ((-14)\/b)\/((-298)\/100 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/14 and ((-133)\/(-35))\/(4\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66469.33l in millilitres?\nAnswer: 66469330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3400 (base 12) to base 9.\nAnswer: -385710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -3*s, -2*s - 2*s = -2*k - 12. Solve k*i - 2 = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(170)\/sqrt(160).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 5\/2*y**2 + 1\/4*y**4 - y + 20 - 4\/3*y**3. Let u be v(4). Calculate the highest common factor of 133 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2176320 and -7\/2393952.\nAnswer: 23939520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.12887 and -0.02.\nAnswer: 0.10887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88245.\nAnswer: 3, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, 0.4, -27, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27 + 32 - 4*f**2 - 55 - 85*f**6 wrt f?\nAnswer: -10200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242578718 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3290.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - x**3 + 23 - 21 + 7*x**2 - 5*x**2 - 3*x**2 to g + d*x**3 + r*x**2 + c*x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjpv when four letters picked without replacement from pjyjpv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8565 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 14*t - 14. Let o be c(-12). Suppose k = -k + o. Find the common denominator of -49\/8 and -2 + -2 - k\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*t = i + 10, -4*t - 20 = -5*i. Let q be (12 + -5)\/(-7)*i. Sort -0.5, -2\/13, 2, q in increasing order.\nAnswer: -0.5, -2\/13, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + g**2 + g + 6. Let c be a(0). Suppose -c = -b - 0*b. Let l = b + 29. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-8)*-2*1. Sort -4, -2, l in descending order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -307 + 1450?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -140.4 (b) -2\/9 (c) -5 (d) 2\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3347*j - 13403. Determine c(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.228 + -1?\nAnswer: -2.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -68. What is the remainder when 183 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80364049.1 to the nearest 1000000.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.235, -2, 1 in descending order.\nAnswer: 3, 1, 0.235, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + (-4 + 48 - (1 - -14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 13 = -22. Let r = d + 6. Sort r, 0, -5 in descending order.\nAnswer: 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 + 24?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*y - 17*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -530 - -752. Are 221 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/16*2\/(-14). Suppose 598*p - 604*p - 18 = -0. Which is the biggest value? (a) p (b) h (c) 2 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323 (base 6) to base 12.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18479\/7 - 2634. Calculate the common denominator of f and 1\/(-11)*-14 - 1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Let s be (-3)\/4 + (-1)\/f. Let b(m) = -m**2 - 1. Let j(q) = -3*q**2 - 5. What is s*j(t) + 4*b(t)?\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*i = -i - 8, 2*a = -5*i - 9. Let m = 2 - a. Solve 11 + m = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o - o + 3*o)*(4 + 3 - 5) + 2*o + 2*o - 2*o + 9138*o + 1309*o - 2464*o + 3951*o - 1414*o + 4640*o to the form l + b*o and give b.\nAnswer: 15158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 0.098, 1\/3, -5, -21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5412, 11367, 21292, 35187, 53052?\n\"Answer: 1985*h**2 + 3427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10667 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -45. Let g(k) = -2*k**3 + 5*k**2 - 9*k - 4. Let s be g(-4). Calculate the highest common factor of s and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*w + 370 = -96*w + 70*w. Sort -22, w, -1, 1, -43 in descending order.\nAnswer: 1, -1, w, -22, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105400 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 1787*v**2 + 100020*v - 17. Calculate o(-60).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -30. Let y be 3 + x*(-3)\/12. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/63249 and -131\/737178.\nAnswer: 21378162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.5296836 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flrl when four letters picked without replacement from {l: 3, f: 2, i: 1, r: 3, y: 6}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 4*t = -22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 2*o - 10, 5*o = -3*q - 0*q + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8718 divided by 3?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(170)*-1*4 - sqrt(170)) + sqrt(170))*4)\/((sqrt(40) - (sqrt(160)\/sqrt(4) - sqrt(40))) + sqrt(20)\/sqrt(32)))**2.\nAnswer: 69632\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**5 - 235892065*l**4 + 235892070*l**3 = 0?\nAnswer: -47178414, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -14. Let d = 5 + -3. What is the derivative of 3*t**d + x + 4 - 4 - 6 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(325\/(-20)))\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.16 * 0.5.\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/17 or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271.2 - 271.19989755. What is o rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39220 and 32966.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4de - d519?\nAnswer: -da08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*v**2 - 94*v**2 + 48*v**2 - 62)*(-26*v - 18*v + 28*v) to f*v**2 + p*v**3 + m + h*v and give h.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19812, 23396, 26980, 30564, 34148?\nAnswer: 37732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 0.02468267.\nAnswer: -0.0014809602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = 10. Let u = 111 - 252. Let a = u - -140.5. What is the biggest value in -2, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)*m*m**(-21)*m)\/(m\/m**8*m**(-9)*m*m))**(-6\/5) assuming m is positive.\nAnswer: m**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*t - 7 = 165, 5*f + 220 = -4*t. Let m be ((-39808)\/f)\/(2 + (-8)\/6). Suppose 5*d = m - 419. What are the prime factors of d?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e1 + 1e?\nAnswer: 1ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b*o*p**2 - 4476*b*o*p - 2*b - 70*o*p + 31168608*p**2 wrt o?\nAnswer: 5*b*p**2 - 4476*b*p - 70*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -20. Let g be 824\/r - 15\/35. Let b = 101 - g. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421574678 to the power of 1\/2, to the nearest integer?\nAnswer: 20532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - 6*u + 10. Let h be p(-8). Suppose -3*k + 0*k = -h. Let d = -59 + k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-116)\/(-530)) - -3. Let z = -2\/29 - i. Let x be (9\/(-6))\/(42\/(-16)). What is the nearest to -1 in x, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 + 3*p. Let x(o) = -4*o**2 + 2*o. Let i(l) = 3*g(l) - 4*x(l). Suppose -u = -q - 2, -4*u + 5*q + 12 = -u. Calculate i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 - -1 - (-3 + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 0*m + 2 + m**3 - 7*m + 9*m. Give h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500) + -2)**2.\nAnswer: -120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times 15.4?\nAnswer: 877.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19535 + 449307\/23. Let w = -2 + 3. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -182*d - 1. Let f(t) = 817*t - 2. Give x(f(y)).\nAnswer: -148694*y + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/56330640 and -149\/96.\nAnswer: 112661280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0385707941 rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g\/((g\/(g*g**(-2\/3)))\/g))*g)\/g*g*g*g*(g*g**(2\/11))\/g)\/(g**(-5)\/g**(-4)))**(9\/8))**23 assuming g is positive.\nAnswer: g**(8763\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 1.2. Let n be -2 - (-80)\/14 - 4. Suppose 20 = -m + 4*g, -m - 8 = -g - 0*g. Which is the smallest value? (a) m (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1603\/84 - 19 - 299\/(-12). Solve 8*d - q = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -110010010?\nAnswer: -110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 106, 210, 336, 472?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -89*j**5\/10 + 139*j**3\/3 - 2*j**2 - 751*j. Differentiate m(h) wrt h.\nAnswer: -1068*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(-5*sqrt(10)))**2 + -1*sqrt(32).\nAnswer: -4*sqrt(2) + 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1145, -1147, -1151, -1157, -1165?\n\"Answer: -w**2 + w - 1145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t. Let v(l) = -3*l**2 + 1. What is k(v(r))?\nAnswer: -39*r**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*j**2*z**3 + 61*j**2*z**2 + 3*j**2*z + 3*j*z**2 - 109*z**3 + 3*z**2 wrt z?\nAnswer: 192*j**2 - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2759368 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1089310*v - 1973665 with respect to v.\nAnswer: -1089310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -0.1012, -0.1, 3\/8, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 11:46 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) -2\/3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 7. Let i be a(-11). Suppose t + 2*t = -i. List the prime factors of (12 - t)*(1 + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w + z = -66, -197 = -3*w + 4*z. Let x = 12 + w. Let s = -26 + x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = 5*g. Let s = 1 - -24. What is the remainder when s is divided by 9 + (g\/(-4))\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 54 + 18 = 0. Let s be (-90720)\/4200*15\/(-9). What is the greatest common divisor of s and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4885890 rounded to the nearest one hundred?\nAnswer: -4885900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 8 = 109. Let f(u) = -u**2 - 9*u + 4. Let o be f(x). Sort 0, o, 2, 5 in ascending order.\nAnswer: 0, 2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234200 divided by -1.\nAnswer: -234200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -65. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 33 + 114*j**2 - 17 - 105*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11068 + -11067.6. Let t be ((-8)\/108)\/(2\/(-6)). Let z = 0 + 5. What is the closest to 0.1 in t, c, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/8 - 2*b**3\/3 - 159. Factor d(i).\nAnswer: i**2*(i - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 25 + 7*f - 37*f in the form c*f + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 653, 1313, 1973, 2633, 3293, 3953?\n\"Answer: 660*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 - 4*z - 1\/6*z**3 + 7\/2*z**2. What are the prime factors of m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 0*y + 7*y + (-16*y + 35*y + 3*y)*(4 - 4 - 1).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 2:21 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*15\/36*(-30)\/100.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111820725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:54 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - 2*z**3 + 0*z**3 + (0 - 1 - 1)*(-8*z**3 + 2*z**3 + z**3) + 362 - 362 + 19*z**3 + (2*z - 2*z - 2*z)*(-2 + 2 + 2*z**2).\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4301949015 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**2 - o - 1. Calculate f(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + d. Let f = -3 + 6. Suppose 0 = u + 5*y + 25, 4*y + 22 - 2 = 0. Suppose 0 = -2*o - f*k + 6*k - 2, u = -o - 3*k - 1. What is w(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 194\/(-4)*(-1 + -3). Suppose 0 = 2*c - c, 0 = 2*i + c - t. Suppose 6*b - 458 = -17*b + 117. Calculate the remainder when i is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(704) - (sqrt(704) + (sqrt(704) + 1)**2 + sqrt(704))*-3) + -3)*-5 + 1.\nAnswer: 2080*sqrt(11) + 42241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -13*z**4\/2 - 415*z + 897. What is the derivative of i(d) wrt d?\nAnswer: -78*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8456 divided by -182?\nAnswer: -604\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + 6*f - 6. List the prime factors of b(7).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 - 0.01. Let s = -0.522 - -3.612. Let o = n + s. Which is the closest to -1\/3? (a) -2 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*2\/14*(-7560)\/(-1080)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -39*r**4\/4 - 37*r**3\/3 + 2*r**2 + 4*r. Let f be u(-16). What is f rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -32*h - 157. Let n be p(-5). Let m be 207500\/n*(328\/40 + -1). Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 9. Suppose -11 = -2*p + 2*z - x, -p - 11 = 2*z. Let r = -3 - -3.2. Which is the nearest to 0? (a) r (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1)\/v*v)\/v)**(-2\/43)*(v*v**(1\/2))**(-10\/17) assuming v is positive.\nAnswer: v**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u**2 - 10*u - 2. Let t(a) = -a**3 - a**2 + a - 1. Let c(b) = b**2 - 3*b + 1. Let x be c(3). Let s(y) = x*p(y) + 2*t(y). Factor s(w).\nAnswer: -(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j + 56*j = -4. Let q(f) = f + 3. Let h be q(j). Suppose 0 = 3*p - h*p + 51. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 5*w - 2. Let f(i) = -i**2 - 6*i + 3. Let j(d) = -4*a(d) - 3*f(d). Factor j(l).\nAnswer: -(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:26 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80217287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/((-250)\/75).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 832*b**4\/7 + 582*b**3\/7 + 916*b**2\/7 - 425*b\/7 - 276\/7 = 0 for b.\nAnswer: -4\/5, -3\/7, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**5 - m**3 - 199*m?\nAnswer: 60*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161036 is divided by 80459.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 10*u - 7. Calculate z(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7825312 + 7825312 - 4595*l.\nAnswer: -4595*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1006003 (base 7) to base 9\nAnswer: -202181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1539, 1448, 1357?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:40 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/1033 and 74\/14872101.\nAnswer: 14872101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 5*w + 7. Let j be q(3). Suppose j*f = i - 1, 5*i = -4*f + 1 + 4. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*sqrt(117)\/sqrt(9)*4.\nAnswer: 5 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**2*u**4 - 587*o**2*u**2 - 475*o**2 + 166 with respect to u.\nAnswer: -16*o**2*u**3 - 1174*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 1:54 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 4*g - 11*g to the form m*g + s and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*y = 12, k - 4*y = -2*k + 32. Let g be (-5)\/(3\/3) - 0. What is the remainder when (g\/2)\/(2\/(-24)) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-6) + -5 + 7*24. Suppose -4*m + 592 = -i - 3*i, -m - 3*i = -g. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-96933.5.\nAnswer: 387734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -83?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2888 + 7436. Does 41 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(99) + -1.\nAnswer: 2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 40*b**2 + 203*b - 36. What is n(-34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*r + 2 = 0, -10*k + 5*r + 2 = -13*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 49*g**2 + 3*g + 43. Let k(o) = 9*o**2 + o. What is -5*k(v) + w(v)?\nAnswer: 4*v**2 - 2*v + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (27196\/(-50208))\/((-39)\/60)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00359589 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 143*y**2 + 72*y + 746. Is a(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 2*b**2 - 9339. Let u(p) be the third derivative of p**4\/12 + p**2. Calculate j(u(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 + 23 + -20\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1006438033.5 - 73.\nAnswer: -1006438106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**3 - 2*y**3)*(-18 + 25 - 19) + (0 + 1 - 6)*(-y**3 + 2*y**3 - 3*y**3).\nAnswer: 34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlip when four letters picked without replacement from iziliipllizzlzzzil?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 6*t - 1. Let x be s(6). Let l = -33 - x. Solve -l*r + 6 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + g)*(-17*g - 14*g + g)*(1 - 1 - 2*g).\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3710 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -69. Suppose o*v = 67 - 3. List the prime factors of v\/3*(41\/4 - -4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387 != 3384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/911 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8*v = 0. Let j be ((-2)\/4)\/(2\/(-12)). Solve 4\/3*b**2 + v*b + 0*b**j - 2\/3 - 2\/3*b**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8906.507*-0.5.\nAnswer: -4453.2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b - x + 1 = 0, b - x - 3 = 0. Suppose -2*k + k + 51 = 5*c, -b*c = -k - 26. Suppose 5*u - c = 29. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*v + 44, -v - 4*l = 3*v - 48. Calculate the lowest common multiple of 9*1 - (0 + 1) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 9104258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177317669.0000002 + -177317743. Let w = a + 74. Round w to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -13, 0.1, -10, 100, 2\/3, -3\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*c - 600*c - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75626*g**3 - 705246?\nAnswer: -226878*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-8)*(-1 + 5). Suppose -3*q = -4*t - 609, -2*q - 3*t + 597 = 174. Let f = 217 - q. Is f less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v**2 + 15*v. Let c(n) = 12*n**2 + 35. Let r(p) = 2*p**2 + 7. Let u(x) = -c(x) + 5*r(x). Determine s(u(d)).\nAnswer: 56*d**4 - 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z + 3*z - 21*z to the form s*z + v and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.4 - -42.6. Let r = -6030654475.00000042 + 6030654426. Let u = r + h. What is u rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 188\/141*(2 + 3 + 14\/(-4)). Solve -7*b - j*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/3 + 5*r**2 - 5*r + 122. Give q(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, k: 2, w: 2}. Give prob of sequence kkw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 1, o: 10, n: 2}. Give prob of picking 4 o.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/2, -255.\nAnswer: -255, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 322224 - 2460992 - 362257. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 4 = 0. Suppose n*u + 24 = -0*u. Let a(s) be the first derivative of -s + 3. Let b(x) = x + 4. What is u*a(c) - b(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {v: 2, c: 6, d: 2, n: 6, o: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1403*z - 27279 = 1159*z - 2995*z for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (93\/(-95) + 1)*-5. Let k = 20148\/5 - 4029. Sort c, -9\/2, k in increasing order.\nAnswer: -9\/2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2)*2\/4. Let q be 4\/(-26) - (119\/272)\/((-143)\/132). Sort q, 2\/5, o in descending order.\nAnswer: 2\/5, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e991 (base 16) in base 6?\nAnswer: 21531253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5756995642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 4\/3*d**3 - 3 + 0*d + 2*d**4 + 4\/5*d**5 + 0*d**2. Solve n(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/66*-3)\/(3\/(-6)). Let z = 1 + -4. Which is the biggest value? (a) z (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, y: 11}. What is prob of sequence www?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(220\/4125*-30))\/(2\/40*-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/25 - 9)\/((-54)\/15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**5 + 47365*x**4 + 6628250*x**3 + 32098790*x**2 + 18747435*x - 57521835 = 0.\nAnswer: -133, -3, 1, 9611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -12*q + 8. Let p be (2\/q)\/((-2)\/52). Suppose -p = -2*y - 3. Solve y*i + 12 - 41 = 2*b, -3*i = b - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18336 is divided by 240?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 189. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11549946 to the nearest integer?\nAnswer: 3399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(2\/13))\/r)\/r*((r*r*r**(2\/3))\/r)\/r)\/(r**(2\/3))**(-1\/31))**26 assuming r is positive.\nAnswer: r**(-382\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1918*a**2 - 5563*a**2 + 3.\nAnswer: -3645*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -840, -1627, -2390, -3129?\nAnswer: -3844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 19*s**2 - 7*s - 24. Let r be k(-19). Suppose -4*f - 416 = 3*h + h, -3*f - 316 = h. Let o = r + f. Solve -o*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 13 = -i, 3*i - 3*w = -7*w - 7. Suppose 4*s = i + 5. Let r(l) = -6 + l + 4 - s. Calculate r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 4*b**2. Let l(g) = 10*g - 84. Let z be l(9). Let c be -2 + -4 + 2 - (-1 - z). Let a(k) = 2*k**3 - 3*k**2. Give c*a(q) - 2*h(q).\nAnswer: 4*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 + d + 0*d - 4*d**4 - 43*d**4 - 6 + 6 + (0 + 0 + d**4)*(3 - 2 + 1).\nAnswer: -42*d**4 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50468 divided by -44\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 18*j**2 + 66*j + 137. Let i be d(9). Determine q, given that 1\/3 + 1\/3*q**3 - 1\/3*q - 1\/3*q**i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.549715 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-7) - (-1)\/((-49)\/(-25312)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02025 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -189*g**4\/4 + 207*g**2\/2 + 1009*g. What is the first derivative of j(t) wrt t?\nAnswer: -1134*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/5)*l**(-2\/17))**11)**(-20) assuming l is positive.\nAnswer: l**(-4048\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -37358 - 16642. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 185137*i + 185130*i + i**4 + 6 - i**2 - 2*i**2 = 0. What is i?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3998*o + 403788. Give n(101).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 - 24*k**2 + 62*k + 885. Let b be f(-17). Calculate the greatest common factor of b and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.204 - 0.184. Let q = 7 - r. Let y = q - 0.38. Put -0.5, y, 0.2 in descending order.\nAnswer: 0.2, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 2399 = -16*p. Let l = p + -128. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -500, -520, -566, -650, -784, -980, -1250, -1606?\n\"Answer: -2*z**3 - z**2 - 3*z - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let l be d(6). What is the second biggest value in -3, l, -1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -8.1, 1\/3, -2, 0 in increasing order.\nAnswer: -8.1, -2, -0.5, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 33. Let m(n) = n**2 - 7*n + 7. Let q be m(6). Solve -5*j + f = q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*w - 4*w + 3*w)*(4 + 25 + 1) + 3 - w - 3.\nAnswer: -31*w - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-120) - (-59558)\/(-2328)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -15. Let r = n + -7.43. Let u = 8.17 - r. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5217331993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 0, 24\/11, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 13. Suppose l = -u + 37, l = 4*l. Let p = f + u. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k*q**2 - 638*k*q + 169838*k + 9*q**2 wrt q.\nAnswer: -6*k*q - 638*k + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 701 - 279?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.039 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20772 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = h, 11*h - 6*h - 2*a - 22 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 211, 1948, 6771, 16258, 31987, 55536, 88483?\n\"Answer: 263*k**3 - 35*k**2 + k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*j + 120 = 6*r, 4*j + 100 = 4*r. Calculate the least common multiple of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -205?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -0.1, 5\/8, 71\/19 in decreasing order.\nAnswer: 71\/19, 2, 5\/8, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13343 and 2426.\nAnswer: 26686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 420 - 101. Suppose 3*o - 2*y - 346 - 615 = 0, o - d = y. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 6, 50, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 22582977*p. Let w(h) = 2*h. What is w(k(r))?\nAnswer: 45165954*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 86.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 13*x + 11. Let s be y(-10). Let v = s + -20. Suppose -5*u + 19 = -v. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22011223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17*q - 11*q + 33*q - 13*q. Let r(g) = -3*g. Give r(j(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from {n: 2, d: 3, f: 10}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v. Let i(o) = -71*o + 3. Let j(s) = s - 1. Let l(k) = -i(k) - 3*j(k). Calculate b(l(p)).\nAnswer: 476*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 12*j + j**2 - 16 + 5.\nAnswer: j**2 - 12*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -55*h - 452. Let l be k(-10). Suppose 80*r = l*r - 137034. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 6*x - 486. Is 53 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 287*k**2. Let n(x) = 3672*x**2. Determine m(n(h)).\nAnswer: 3869788608*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 7, n: 2}. What is prob of sequence yn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4125)\/(-51))\/1 + (-28)\/(-238) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r - 18. Let q be k(-6). Let m(t) = 2*t**2 - 4*t**2 + q*t**2 - 2*t**2. Let l(s) = -5*s**2. Give l(m(c)).\nAnswer: -80*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 60*z + 11*z + 4)*(-751*z + 2480*z + 1673*z - 592*z + 1276*z) as p*z + n + w*z**2 and give p.\nAnswer: -4086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 2, n: 1}. What is prob of sequence unv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.4. Let y be ((-3)\/2)\/((-3)\/6). Let r be (-3)\/(-4)*(-1)\/3. What is the biggest value in r, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001101010 - -101?\nAnswer: 1000001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2 + 2. Suppose -t - 7 = 5*z, j*z - 5 = 5*t - 28. Let b be (-5)\/z*(2 + 0). Solve b*v - v = 5*q + 13, v = 4*q + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -7*i**3\/6 + i**2\/2 - i. Let c(z) = -2*z**2 + 1. Suppose 3*y - 3*t + 18 + 0 = 0, 5*y = t - 10. Let m be c(y). What is h(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 9232286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/27, 530, 12?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1608 divided by -6\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 188*q - 191*q - a, -5*a = 3*q + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + -2*sqrt(133) + sqrt(133))*1)\/(-1*sqrt(175)) - (sqrt(2736) + (sqrt(2736)*2 + sqrt(2736))**2*6)*-1.\nAnswer: 12*sqrt(19) + 147744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(1404))\/(sqrt(432)*-2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/17 and -121\/340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -0.01. Let a = -0.06 + j. Let p = -1 + 0.7. Are a and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42832 by -21416.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.031297 and 5?\nAnswer: 5.031297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/40*(6 - (-130)\/35).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19b84 (base 13) to base 6.\nAnswer: -1024513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2373*p + 2504*p + 8019*p as d + z*p and give z.\nAnswer: 8150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 7:08 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5967*w - 11593*w + 5487*w.\nAnswer: -139*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(117)*-2 - sqrt(13))*-6 + sqrt(13)*1*-2 + 1)**2 + -3.\nAnswer: 240*sqrt(13) + 20806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:50 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {e: 8, v: 1, k: 2, t: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -319*d**3*i**3*r + 2*d**3*i**2*r - 7*d**2*i**3*r - i**3 + 6*i - 3*r wrt d.\nAnswer: -1914*i**3*r + 12*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2*p + 5473*o**2 + 2*o*p - 38*p - 13 wrt o.\nAnswer: 2*o*p + 10946*o + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*d**2*i**2 + 506084*d**2 - 5*d*i**2 + 2*d*i + 48093*i wrt d.\nAnswer: 34*i**2 + 1012168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15a (base 12) to base 11\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 130, 655, 1180?\n\"Answer: 525*o - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-5)\/((-20)\/(-16)). Factor 0 + 24\/7*w**4 - 18\/7*w**z - 10\/7*w**5 + 4\/7*w**2 + 0*w.\nAnswer: -2*w**2*(w - 1)**2*(5*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010011110001111101 (base 2) to base 8.\nAnswer: 22236175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 1\/6 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/8 and (94\/141)\/((-160)\/51).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -64*b**3 - 67*b**2 - 67*b. Let f be l(-1). Solve 0 = -2*n - 50 + f for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2766.7727 + -2767. Let d = -242.77 + 243. Let f = m + d. Round f to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 13 - 107. Calculate the remainder when 35 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.653287241 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpprrrrrr. Give prob of picking 2 r and 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a - 5*a. Let c(h) = h**3 + 5*h**2 + 3*h + 12. Let w be c(-5). Put w, -5, a in descending order.\nAnswer: a, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-4)\/(-2) + 0. Let x = 0.79 + 1.3. Let q = x - 0.09. What is the third smallest value in -1, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b + 5211 - 537 = 0. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:27 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82831247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 25*k**3 + 2*k**2 + 2*k - 1. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -623*d**5\/5 - 499*d + 251. Find the first derivative of y(c) wrt c.\nAnswer: -2492*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152 = -194971*u + 194395*u. Factor -2\/3*g**5 - 4\/3*g**4 - 28\/3*g**u + 0 + 10\/3*g + 8*g**3.\nAnswer: -2*g*(g - 1)**3*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814075 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000948 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o**2 + o**2 + 4*o**2)*(-5*o + 0*o + o) to the form n*o**3 + v*o + c*o**2 + a and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 5:56 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6205, 6320, 6475, 6676, 6929, 7240, 7615, 8060?\nAnswer: 8581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 9*s**2 + s - 5. Let m be j(9). Suppose 0*u + m*u - 12 = 0. Solve 0*i - 16 = 4*i - 3*g, 5*i - 7 = -u*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 4*p + 4. Let r be b(3). Suppose 0 = -2*t - g + 2*g, -5*g + 18 = -t. Let l = -16\/7 + t. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, p: 11, m: 1}. Give prob of sequence plpp.\nAnswer: 385\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/473 + -5\/43. Let f be 6\/9 + (-2)\/6. Let q = 6 + -9. Which is the nearest to f? (a) q (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.36 (b) -0.1 (c) -0.02 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2*-2*sqrt(117))\/(sqrt(2304)\/sqrt(4))*6 + -3)**2.\nAnswer: -45*sqrt(13)\/2 + 3069\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 6, -10, -3 in decreasing order.\nAnswer: 6, 2, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 631 + -1034. Let r = f + 412. Sort 0.2, 1, r, -2\/9 in increasing order.\nAnswer: -2\/9, 0.2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2116, 2991, 3768, 4399, 4836, 5031, 4936?\nAnswer: 4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u - 52. Let z be w(-10). Let b = z + 1. Is b a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 830*f + 3268. Calculate w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/154272 and -109\/141416.\nAnswer: 1696992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 700001*a**2 - a - 4*a. Let j be l(-2). What is j rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u + 10. Let f be -2 - (u - -1 - -1). Suppose 2*v + c + 3 = 9, 0 = v + c - f. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 162*n**2 + n + 25. Let m(l) be the second derivative of l**4\/6 + 24*l + 160. Determine t(m(k)).\nAnswer: 648*k**4 + 2*k**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*o - 2*a = -141*o + 10, 35*o - 5*a + 425 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/6 - 411899*u\/6 + 1647628\/3 = 0. Calculate u.\nAnswer: -411907, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 + 13 = -19*s - 524 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -6*k - 3*h - 1, 0 = k - 5*h - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 6*d + 3. Suppose 462 = -2*x + 4*m, 9*m = 2*x + 4*m + 457. Let y = 246 + x. Give r(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3 - 2. Suppose -31 = 5*h - 156. What are the prime factors of h*b\/2*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-58)\/(-32))\/(6\/12). Let u = -477\/136 + k. Let l = 1058 - 1057.9. Put -1, u, l, 1\/5 in decreasing order.\nAnswer: 1\/5, u, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 2, y: 1, j: 2, m: 1, l: 1}. What is prob of sequence sjm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -4. Let v = -61 + i. Let g be (-3)\/(-4) + 3\/(-6). What is the nearest to g in 5, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 5 (c) 36\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7087298 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 a when four letters picked without replacement from {a: 1, b: 3, x: 11, p: 2, l: 2}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 17*r**2 - 32*r + 11. Is f(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q + 100*q = -26. Let a(h) = -5*h + h**2 + 5*h - h**3 - 11*h**q - 1 + h**2. Calculate a(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, -10\/53 in decreasing order.\nAnswer: 0, -10\/53, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-520)\/(-15))\/(-13)*117\/(-4)*56\/(-84).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*z**3 + 2\/7*z + 0 + 0*z**2 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m - 1. Let p = -6 + 7. Let u be f(p). What is the remainder when 58\/u + 4\/(-14) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 17*h - 3. Give m(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 - 3 + 6*b**2 + 1 - 9*b**2 as p*b**2 + d + f*b**3 + k*b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75398876 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h - 3*h - 4*h**3)*(-3*h**2 - 2*h**2 + h**2).\nAnswer: 16*h**5 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 5 + 68 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 - -314. Let l = 18 + -132. Let b = w + l. What is the lowest common multiple of 14 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213132, 426362, 639592, 852822?\nAnswer: 1066052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 19*k**2 + 25*k - 15. Let c(w) = -w**3 + w**2 - w. Let a(f) = -2*c(f) + d(f). What are the prime factors of a(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/4)\/b**(7\/4) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8352 + (-4)\/6*(-24)\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 0*r = 9525. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16871 plus -0.2?\nAnswer: -16871.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-9)\/(-11) + -1). Factor b*p - 3*p**2 + 17 - 2*p - 23.\nAnswer: -3*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166\/(-4) + 5878725\/141625.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1, -3\/10.\nAnswer: -3, -1, -3\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*d - 112*d - 163*d = -32550 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m - 65*m - 102 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - (10 + -3) - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 389 (base 13) to base 10\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (-12)\/36?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 0.31 (c) 5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - 35\/(-14). Suppose -d*w - 44 = -7*w - 4*m, 5*w - 55 = -m. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/4 + 13*g**4\/4 + 31*g**3\/2 + 49*g**2\/2 + 67*g\/4 + 17\/4 = 0. What is g?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 7*x + 8. Let i be c(-6). What is the first derivative of 5*y - 2*y - i*y**2 - 3*y + 3 wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 89*v - 1387. What is the remainder when 3388 is divided by m(-39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142.87857 - 0.12143. What is the biggest value in -5, 0.013, t?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/6)*b**(1\/7)*(b**(2\/9))**(15\/4) assuming b is positive.\nAnswer: b**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*r - 3*z, -12 = -3*r + 3*z - 0*z. Let i = -8 + 8. Solve i = 5*p - r*y - 2 - 0, 2 = -4*p + 5*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 30 + -5 + 7 + 3 + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 2*c. Let j(n) = n**3 - 4*n**2 - 4*n - 7. Does 12 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11*o + 2094 = 14*o, 3*k - 5*o - 2062 = 0. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439789, -1759151, -3958087, -7036597, -10994681, -15832339?\nAnswer: -21549571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 605, 912, 1223, 1538, 1857, 2180?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72, -192, -352, -552, -792, -1072?\n\"Answer: -20*r**2 - 60*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.002, 1.5, 0.5, -5?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -318 - -13?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 447*k - 25349. Give w(56).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Suppose -2*p - w - 48 = 0. Let u = p - -92. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 - 83*h**4 - 1763*h**3 - 1681*h**2.\nAnswer: -h**2*(h + 1)*(h + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169241 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t + 9\/2 - 3\/2*t**4 + 0*t**3 + 9*t**2.\nAnswer: -3*(t - 3)*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 11*b - 1. Let f(t) = t**2 + t + 1. Let u(q) = 4*f(q) - o(q). Suppose 2*g = -2*p - 20, 2*g - 3*g - 14 = 2*p. Determine u(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -562 and -0.1.\nAnswer: -562.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1. Let u(a) = 2*a - 48. Let x(f) = u(f) - 6*y(f). Let g be x(21). Let k be (-9)\/(-2) + (-4 - g). Which is smaller: 2\/5 or k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 58, 118, 216, 364?\n\"Answer: 2*d**3 + d**2 + 17*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*s - 6019 = 0, -29*u + 31*u - 5*s - 4000 = 0. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 381763*d**2*m*q**3 + 2*d**2*m*q**2 + 5503*d**2*m + 8*d*m*q - d + m*q**3 wrt q.\nAnswer: 2290578*d**2*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 3*o**4 + 2*o**4 + (-o**2 - 3*o**2 + 3*o**2)*(-o**2 + o**2 + o**2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0\/i)\/i)**(-1\/4)*(i**(-1\/4)\/i)\/(i\/i**5) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 169 = 44. Calculate the remainder when h is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895866 to the power of 1\/2, to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:08 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -28, -401, 1 in descending order.\nAnswer: 1, -21, -28, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1144 (base 7) to base 10.\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -20) + (-52 - 14) + 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from googguugcugguouggggo. What is prob of picking 1 o, 1 g, and 1 u?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7807 - -2766. Which is bigger: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -528*n**6 + 2*n**3 + 1769*n**2?\nAnswer: -63360*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -10. Suppose g = 4*u - 37 + 181. Does 8 divide 176\/18 - 8\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.59785 times -0.12\nAnswer: 0.191742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 8*o - 8*o)*(-o - 3*o + 3*o) - o**2 - 2*o**2 + 0*o**2 - 15*o - 7 + 15*o + o**2.\nAnswer: 12*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*g - 1, 2*u = -3*u + 2*g + 5. Let t = -14 + u. Let k be (-10)\/15*3\/t. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxuuyxxx. What is prob of picking 1 u and 1 x?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -14 + (13 - 10) + (2 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:05 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3379125012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.58302 millennia in months?\nAnswer: 894996.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**2 - k**2)*(-3 + 3 - 2*k) - 962*k**2 + 43*k**3 + 962*k**2 + 2*k**3 - 9*k**3 - 3*k**3.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10*w - 51 = -4*x, 4*w - 5*x = -33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*d = 392, 184 = 2*f - 0*d + d. Suppose 0*c + f = c. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -6104056?\nAnswer: 6104053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/22))**(-16)\/(m**(-2\/27))**38 assuming m is positive.\nAnswer: m**(-4132\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5077955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 310 = 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*l**4*u**2 + 2*l**4 + 37*l**3*u**2 - 521*l**2*u**2 - u**2 wrt l?\nAnswer: -312*l*u**2 + 48*l + 222*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlbbbdbbbldbbbdb. What is prob of picking 2 b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43473354.\nAnswer: 2, 3, 2029, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 - 8*b - 3. Let o be 2 + (-54)\/30 - 87\/(-15). Let j(w) = 9*w**2 + 15*w + 6. Give o*j(s) + 11*k(s).\nAnswer: -s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:04 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -1369*k**5\/12 - 185*k**4\/2 - 30*k**3 + 168*k**2. Factor l(g).\nAnswer: -5*(37*g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + m + m**2 + 3*m**2. Let x(j) = -88*j**2 - 8*j - 10. Let l(f) = 9*f**2 + f + 1. Let n(w) = 20*l(w) + 2*x(w). Give -n(g) + 2*z(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1313 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4, 0 = -2*k + q + 2 - 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n - 3. Let b(a) = a + 1. Calculate -6*b(f) + j(f).\nAnswer: f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 2, -8, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 603 - 604. What is the tens digit of z + (-3059)\/(-3) - (-62)\/(-93)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -932434467 from -0.38.\nAnswer: 932434466.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 212 (c) 30 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*l - 580 - 156, -j + 3*l = -179. Suppose -s + j = 3*n, n = -5*s + 26 + 45. Let p = 16 + n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*r**2 + 51*a**2*r + 47584*a*r**2 - a*r - 44*r**2 + 24*r - 321 wrt r?\nAnswer: 4*a**2 + 95168*a - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:18 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 13*r + 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98469 and 6?\nAnswer: 196938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*c = -18, -7*c + 2*c = -f - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 - 22.1. Let y = d - -22. Which is the closest to 2\/7? (a) 1 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 54771, 1, -0.3, -0.4, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*d**3 + 16*d**3 - 32*d**2 + 11*d**3 - 2*d + 0*d - 55*d**2.\nAnswer: -37*d**3 - 87*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 6. Let n be v(-9). Suppose -x + n*p = -0 - 1, -3*x - 3*p + 15 = 0. Does 9 divide -16*(5\/x + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3544 or 3543?\nAnswer: 3544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 1751547*d - 1751547*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -37. Solve -3*n - 5 + 17 = f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*c*x + 29*c + 8*x - 15 wrt x.\nAnswer: -20*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from nyhxxyhhhxxnxxnt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 3}. What is prob of picking 1 v and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 9*p - 128. Suppose 0 = 2*h - 5*j - 8 - p, -5*h = 5*j - 10. Solve -x + h*x = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p - 104. Determine w(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 24435119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004355911 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/107450 and -73\/129247000?\nAnswer: 904729000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/162646 and -67\/1617.\nAnswer: 23908962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -2*w**7\/3 + w**6 + w**5\/5 - w**4\/2 - 349*w. Solve j(z) = 0.\nAnswer: -3\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8593085 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738 is divided by 368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/27 - -260*186\/108. Suppose -5*m - 504 = -2*u, -u - m + 0*m = -259. Let h = k - u. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*s - 2)*(-3 + 3 + s**2) - 4*s**3 - s**3 + 2*s**3 + (-2*s + 2*s - 2*s**2)*(-3*s - 2*s + 3*s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {k: 7, d: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, f: 4, n: 6}. Give prob of picking 3 n.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. What is the second smallest value in 1\/4, 2\/15, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/236 and 57\/10975.\nAnswer: 2590100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**4 + 2185*n**3 - 136650*n**2 - 1199360*n - 2469920 = 0.\nAnswer: -4, 86, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111011000110 + 11?\nAnswer: 1100111011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/((-1)\/(-6)). Suppose -3*c + c = -s. Suppose 0*p + 5*p - 20 = 0. Solve -4*m + 14 = 5*w, -3*w + c*m + p = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188969625 divided by -59?\nAnswer: 3202875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -45575 - 3*v**2 + 45614 + 4*v**2 + 109*v**3 - 2*v as h + s*v + q*v**3 + a*v**2 and give q.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 40, 68, 100?\n\"Answer: 2*c**2 + 18*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z, r - 14 = -r + 4*z. Solve r = -2*s + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p + p**2 + 5*p + 7*p - 1. Let y be v(-9). Suppose 20*s = 16*s + y. Solve 4*d + l = -16, s*l + 3*l - 20 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 3:03 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(112) - (1*sqrt(7) + 5))**2.\nAnswer: -30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/((-2548)\/(-273)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 935 - 4927. Let p be (-2)\/7 - m\/10836. Let u = 6\/43 + p. What is the nearest to 2\/7 in u, 2, -3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533416235.\nAnswer: 5, 11, 37, 262121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 17. Let f(j) be the first derivative of 4*j**2 + 4*j + 1. Let x be f(4). What is the highest common factor of q and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 126, -5 in increasing order.\nAnswer: -5, -6\/7, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1445262220*b**3*d**4 - 13941613*b**3*d - 3*b**2*d**2 wrt d.\nAnswer: -34686293280*b**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0332 - -0.1518. Let f = p + -0.0186. Put f, -0.08, -4 in descending order.\nAnswer: f, -0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let q(y) = -47*y**2 - 6*y. Let i(t) = -2585*t**2 - 329*t. Let n(h) = 6*i(h) - 329*q(h). What is n(w(g))?\nAnswer: -47*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5669, -5485, -5305, -5129, -4957?\n\"Answer: -2*b**2 + 190*b - 5857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Let o = 22\/5 + -21\/5. Which is the second biggest value? (a) o (b) 2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 15*j. Let g(z) = -636*z**2. What is g(f(s))?\nAnswer: -143100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 0.1, 11\/5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f - 1. Suppose 3*t - p - 15 = 0, -9 = 8*p + 15. Let o(h) = -2 - 5*h - 2*h**3 + h + 6. Determine t*m(q) + o(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/88624 and -103\/44312.\nAnswer: 88624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + y)*(y - y - 2*y)*(1 - 1 + 1)*(-331*y**2 + 437*y**2 + 487*y**2).\nAnswer: -2372*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7473000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1513 + -2967\/2. Calculate the common denominator of s and 57\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) - 1064\/(-392). Find the second derivative of 20*c**3 + 20*c**n + 7*c**3 + 11*c**3 + 209*c + 2*c**2 - c**3 wrt c.\nAnswer: 342*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 166*d**2 - 697*d - 2892. Determine n(-170).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*v = -37, 31 = -1262*c + 1260*c + 5*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97\/476 + -9\/28. Let k = 23\/51 + g. Which is the second biggest value? (a) 0.2 (b) k (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/((u**(-18)*u)\/u))))\/(u**(-5)\/u))\/((u*u**21\/u*u)\/(u\/u**12)) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2) + (-112 - (4 - 1)). Let l be 9\/(-48)*o\/9. Is l less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*w + 22. Let y(n) = -3*n**2 + 3*n**2 - n**2 + 2*n**w - 16 + 14*n. Let q be y(-7). Is q equal to -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(7)*2*1 + sqrt(7) + (-1*sqrt(77))\/sqrt(11) + sqrt(7) + 4)*-2*-2)**2.\nAnswer: 6144*sqrt(7) + 20224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 + (2 - 1) - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 222572266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:37 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 82 = -187. Let g(f) be the second derivative of f**5\/10 - 2*f**4\/3 + 3*f**3\/2 - 5*f**2 - f. What are the prime factors of g(m)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and (4 - 77\/21)\/(2\/66)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-5*t + t + 3*t) + (-8 + 2 + 0)*(1 + 0*t - 3*t + 2*t) - 9 - 2*t + 9.\nAnswer: 6*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -2 (c) 0.2 (d) -4\/7 (e) 1158510\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueh when three letters picked without replacement from {m: 1, h: 1, z: 2, e: 2, u: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s**(-19)\/s)*s)*s*s*(s**(2\/3)\/s)\/s assuming s is positive.\nAnswer: s**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-49) + 16\/7. Let d be 9\/(-3)*q\/(-10). Which is the biggest value? (a) d (b) 0 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 44771643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {l: 3, y: 7, a: 2, t: 1, e: 6}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 52*c**2 - 9. Calculate b(52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s**2 - 12*s**2 - 2*s**2 - 31*s**2 - 17*s**2 - 29*s**2.\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 - (-2740)\/140) + 12\/(-70). Put g, -40, -1 in ascending order.\nAnswer: -40, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r + 119*r + 126*r + 125*r - 79*r.\nAnswer: 261*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28652)\/1653 - (-18 + -1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105599?\nAnswer: 13, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a**2 - 1 + 3 - a**2 + (-10 + 32 - 6)*(-2*a + 3*a + 0*a)*(-4*a + 3*a + 4*a) as o*a**2 + g*a + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/1942 + -3833\/99042. Let g be 4\/10 - (-54)\/(-10). Sort -1, g, w in decreasing order.\nAnswer: w, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:22 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3*(-25)\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -423 - -426. Let o be 136\/36 + 4\/18. Suppose -s*r - 17 = -o*p, -5*p + 29 = 3*r + r. What is the nearest to 1 in 0.1, p, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -364*f**5\/3 - 8914004*f**4\/3 + 8718812*f**3\/3 + 9109924*f**2\/3 - 8718448*f\/3 - 195920\/3 = 0. What is f?\nAnswer: -24490, -1, -2\/91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q. Let f be (-49)\/(-2) - (-2)\/4. Let a(i) be the first derivative of i**2\/2 + 1861. What is f*a(j) - 4*k(j)?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 5)*(-c**4 + c - c) - 185*c**4 - 3 - 4 + 144*c**4 + (-2*c**2 + 2 - 2)*(c - c + 2*c**2) + (-2*c + 3*c - 3*c)*(-c**3 - 2 + 2).\nAnswer: -41*c**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, p: 2, m: 3}. What is prob of picking 1 f, 1 p, and 1 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*(sqrt(160)\/sqrt(4) + sqrt(40) - sqrt(40))*-4)\/(sqrt(648)*-3 + sqrt(512)*-1))**2.\nAnswer: 576\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skksss. What is prob of picking 2 k and 2 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -677\/2025 - -2\/2025. Let s = -21.018 - -0.018. Let i = s - -11. Sort 0.3, k, i.\nAnswer: i, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/6 (b) 2.2165 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:14 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 18*a**2 - 43*a + 4. Let o be z(4). Let v = -123 + o. Let q(j) = -j - 3. Let d(h) = -h. Let f be 0 - (0 + 1)*-1. Give f*q(w) + v*d(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 70*h - 608 = 68*h, 844 = 4*t + 11*h. What is the smallest common multiple of 20 and t?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5787 + 5615 - (-126 + 0)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499555 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -0.246\nAnswer: -0.03444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47656564 and 2546?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4338494 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 85*i + 66. What is the lowest common multiple of y(28) and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10691\/3 - -3612. Let s = h + -48. Which is the second biggest value? (a) -0.2 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961340476 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Let z(i) be the third derivative of i**6\/45 - 2*i**3 - 6*i**2. Let d(v) be the first derivative of z(v). Give d(x(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*z + 289. Let v = 97 + z. Suppose 4*i + 29 = k + 6, -7 = -4*k - i. Which is the closest to k? (a) v (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 6\/7 (c) 3 (d) 44\/7 (e) 2 (f) 0 (g) -102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 18082786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -181742.9651 - -7?\nAnswer: -181735.9651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4)\/(2*(-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 4)**2 + 4.\nAnswer: 40*sqrt(5) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41278365*f**3 - 13074224*f**2 - 5*f.\nAnswer: 247670190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r - 10 = 0. Suppose 5*z + 2 = 2*f, 6*f - 4 = -4*z + r*f. Solve -5*v - 3*n = 20, 0*v + 5*v - n = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 318886 = -m, -h - m + 8268 = -55514. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -24*y - 169. Let i(s) = -y*s + 86*s + 83*s + s**2. Let w(o) = 7*o. What is w(i(a))?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -93644.75141417 plus -0.6?\nAnswer: -93645.35141417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 155*l - 22391. What is q(-91)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 52542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.4 + 12.4. Let w = -89 + 89. Which is the biggest value? (a) u (b) -0.17 (c) w (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012648 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/36*(-3)\/(-6)*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 - 5*y**3 - 14*y**3 + (-y**2 + y**2 + y**2)*(0*y - y - 10*y).\nAnswer: -33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 20*r + 313 = 16*r + 133, -1 = -4*r + 3 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 35*x - 943. Let b be m(27). Suppose -2*q - 22 = -32. Solve b*c + 10 = 2*p + q*c, 2*p - 10 = -5*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6) + (-702)\/(-180)*10?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j - 4. Let x be m(-2). Suppose 0 = -v - 781 + 789. Which is bigger: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = c, -2*c - 3 + 6 = -k. Let v be (-12)\/(-3) + -1 + -1. Calculate the highest common divisor of v and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193818578 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4 - 1) + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3.2. Let d = -27\/2 + 139\/10. Sort b, -2, d in increasing order.\nAnswer: -2, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 + -1176 + 1171 + (-6 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 5. Let v be q(0). Let l be (11 + -1)*(-1)\/(-2). Let c(a) = 0*a - 1 - l - 2*a. Calculate c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - (-58)\/4. What is the units digit of -4*z\/(-6) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4 - (-119)\/(-68).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from llxxnj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000216352998 rounded to seven dps?\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -454 - -783. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -621, -1247, -1873, -2499, -3125?\n\"Answer: -626*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -50\/11640761 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(275) - sqrt(66)\/(4*sqrt(6) + sqrt(6) + sqrt(6))) + (6*sqrt(44)\/sqrt(2))\/((sqrt(14) - -2*sqrt(14))\/sqrt(7)).\nAnswer: 4 + 41*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 3. Let b(p) = p**2. Give b(d(t)).\nAnswer: 4*t**2 + 12*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 9*a + 1700*u - 1704*u + 21 = 0, -4*a + 4*u - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiaaiaiiiiaaiiiiiai. What is prob of sequence aia?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(1 - 2 - 13). Let p be s\/(-8)*(-2 - 0). Suppose -4*y - p = -119. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*c + 400*c + 6100 = 0 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3420 and 109\/3640035.\nAnswer: 829927980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 2. Let s(q) = 4*q + 7. Let r(k) = 7*o(k) + 2*s(k). Let m(x) = 2*x + 1. Give r(m(l)).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908*b + 894*b - 2703*b + 906*b - 129.\nAnswer: 5*b - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 50*n + 5. Let q be 1 + (-4 - -2) + 1. Suppose -2*t + t - 5 = q, 5*c = -2*t + 10. Is x(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20923\/9 + -2325. Which is the closest to 1? (a) o (b) 55 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 9*v**4 - 216*v**3 + 876*v**2 - 864*v.\nAnswer: 3*v*(v - 8)*(v - 2)**2*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100*b**4 - 4*b**3*z**2 + 3*z**2 - 60*z - 3 wrt b.\nAnswer: -400*b**3 - 12*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000520601448 to 6 dps.\nAnswer: 0.000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55532 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 + 159414*f - 5742792 = 0. Calculate f.\nAnswer: -53174, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 0*v**2 + 0*v**2 + 14 - 1 + 2*v**2 to the form w + t*v**2 + a*v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25863 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1.179, -0.2, 3, 0.4, 1\/6 in increasing order.\nAnswer: -1\/4, -0.2, 1\/6, 0.4, 1.179, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-376)\/(((-18)\/(-3))\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 24576*d**3 - 12321168*d**2 + 1498928512*d - 2948769024 = 0. What is d?\nAnswer: -6618, 2, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 = 3*q, 44*q - 40*q - 5 = -a. Let b be 10\/(-35) + (-95)\/(-308). Is q at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**2. Let y(k) = 2*k + k - 5*k + 5*k. Determine y(o(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -1. Suppose -55*m = -83*m + 45*m + 85. Which is the fourth biggest value? (a) m (b) s (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2601 from 0.0187.\nAnswer: 2601.0187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:13 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 + 3. Let s be d(0). Suppose s*m - 5*u + 20 = -u, -5*u = -25. Solve m*b - 2\/7*b**2 + 0 - 4\/7*b**3 - 2\/7*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 9. Let n be ((-4)\/10)\/(8\/40). Let w be (-3*n\/12)\/(1\/18). Let p be r(w). Solve p*s = -5*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-44)\/10)*46\/(-23)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjuy when four letters picked without replacement from wyudjdwuf.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 200d8?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 180, 161, 124, 63?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 + b + 2*b**2 - 19*b**3 + 7*b**3 - 24*b**3. Let a be h(-1). Let p = 37 - a. Solve p = 4*v + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 4*y**2 - 4*y - 4. Calculate f(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-60)*-30*45\/(-2025).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.002 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/5 + 18396*o**2\/5 - 37601424*o\/5 + 25619103552\/5.\nAnswer: -3*(o - 2044)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 4*p**2 - 29*p. Let g(d) = 4*d**3 + 9*d**2 - 59*d. Let j = 13680 - 13676. Calculate j*g(z) - 9*f(z).\nAnswer: -2*z**3 + 25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 538 + -535. Solve 3*g + 15 = -4*b - 2*g, 3 = p*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 2713296.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6049493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51246 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 6c?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19174.58313572 and 1?\nAnswer: 19175.58313572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*k + 5*k. Let y be (5 + -1)*(-2 + k). Calculate the least common multiple of 18 and (-88)\/y + 0\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 108. What is the greatest common divisor of 224 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlltttttttlltlttlt. What is prob of sequence tll?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*t - 5*t**5 + 14*t - t**5 - 5*t**2 + 5*t**2 + 2*t**5 - 1 + 1 + 2*t**5 - t**5 + 0*t**5 + (2*t**4 - 2*t**3 + 2*t**3)*(-4 + 4 - 2*t).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-14 + 13)\/(3\/3). Let s(k) be the third derivative of 0*k + 0*k**3 + 0 + 7*k**l + 1\/12*k**4. Let d(r) = 3*r**2. Give s(d(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 7:08 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 5, 2, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11816\/1266*480147\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 - 405*f**4 + 43610*f**3 - 249720*f**2 + 328320*f = 0.\nAnswer: -144, 0, 2, 4, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 11:54 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 272\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 9*m**2 - 282*m - 504.\nAnswer: 3*(m - 12)*(m + 2)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 50 = 2*i. Let f be -2 + (i - (-4)\/2). Calculate the greatest common factor of f and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 836\/(-190)*(-28)\/(-5236)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5. Let f(l) = 5*l**3 + 16*l**2 - l + 10. Let u(b) = f(b) - 6*j(b). Calculate u(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 = 103. Suppose 0 = 2*t + 4*s - 48, 6*s - 3*s - k = -t. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13613 + 13707 - 27096 - 4069*r wrt r?\nAnswer: -4069","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 q when four letters picked without replacement from {o: 2, q: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37782076 and 1912.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 31145022542?\nAnswer: -31145022542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*x + 7*x, 4*s - 6*x - 88 = 0. Suppose -o + 18 + 10 = 0. Suppose 6*v = 2*v + o. What is the lowest common multiple of s and v?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 = 9. Let m = -6 - -33\/5. What is the nearest to c in m, 3\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.44731, -0.5, 1\/2 in ascending order.\nAnswer: -0.5, -0.44731, -1\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 751517 (base 11) to base 12\nAnswer: 49ba98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3198, -3339, -3478, -3615, -3750, -3883, -4014?\n\"Answer: n**2 - 144*n - 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**7\/2520 - i**6\/180 - i**4\/4 + 2*i. Let p(v) be the third derivative of g(v). Find the second derivative of p(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947027940.\nAnswer: 2, 3, 5, 239, 66041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0053 - 93.2947. Let q = 93 + a. Is 5\/11 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/9 - 14\/2) + 68\/16*2?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-2\/13)))\/(u**(-6\/5)*u))**(2\/61)*((u*u**(-2\/17)\/u)\/u**(2\/3))\/((u*u*(u\/(u\/(u\/(u**(5\/4)*u))))\/u*u)\/u*u\/u**(-2)) assuming u is positive.\nAnswer: u**(-2857541\/808860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1079*j + 1584 = 1085*j. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 58 = 16. Let x(s) = 12*s + 15. Let n be x(k). What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12250, 24577, 36896, 49207?\n\"Answer: -4*r**2 + 12339*r - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-17)*z**7*z**(1\/3)*z**5\/z assuming z is positive.\nAnswer: z**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 559378403 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 + 10)*(2*o - 4*o + o)*(-1 - 1 - o**2 + 5*o**2).\nAnswer: 12*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 6*x + 8)*(-x + 0 + 0)*(-2*x**2 + 3*x**2 + 2*x**2).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 11151700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2 (c) 0.2 (d) -10 (e) 3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22021112220002 (base 3) to base 12\nAnswer: -1582485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let p(w) = -2*w - 6. Let d be p(-11). What is the highest common divisor of k and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 4250*m + 8499\/2.\nAnswer: (m + 1)*(m + 8499)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -19\/6*k**3 + 0*k + 0 - 11\/12*k**4 - 13*k**2. Is z(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4497176?\nAnswer: 2, 562147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 - 90. Solve m*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13246571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -616 - -611. Which is the nearest to -0.1? (a) g (b) 10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 49, 100, 171, 262?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.76 + 1.6. Let m = p + 0.26. Let n be (1\/10)\/((-1)\/2). What is the closest to m in -1, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k = 65*k - 4*b + 8, -4*k + 4*b - 24 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/117342 and -37\/2268612?\nAnswer: 6805836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000232307401 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 21380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6929\/22 + 315. Let n = -6\/11 + v. Let b = 0.2 + -0.3. What is the closest to b in n, 2, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*8*(-17)\/408?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 21*d - 2. What is the tens digit of w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**7\/35 - 7*u**6\/60 + 7*u**4\/8 + 5*u**3\/3 + 1785*u**2. Find the second derivative of y(t) wrt t.\nAnswer: -72*t**2 - 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 8. Suppose -5*b - 56 = -2*c, -3*b - 6 = -4*c + 22. Let h be k(b). Solve -u + h = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x = 23*x + 1665 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 397040 divided by -4\nAnswer: -99260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(m**4 - 4*m**4 + 2*m**4) - 62*m**3 + 2*m + 2*m**4 + 62*m**3 to k + f*m**2 + c*m**3 + a*m**4 + h*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362506 is divided by 120834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59 - 2*l**4 - 53 - 62 - 15*l + 173 + 4*l to o*l + p + m*l**2 + h*l**4 + s*l**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -279 >= -3066\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/11)*a\/(a*a\/a**(-15)) assuming a is positive.\nAnswer: a**(-179\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1101? (a) 2 (b) -3 (c) 3\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 6*h + 1. Give l(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 29*o - 37. What is the smallest common multiple of d(-5) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16733, 66951, 150659, 267857, 418545?\nAnswer: 602723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)\/(a\/(a*a\/(a*a*((a**(2\/15)*a)\/a)\/a))))\/(a**6*a**(3\/8)*a))**11 assuming a is positive.\nAnswer: a**(-72017\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 342 = 3*s, -3*s = -3*m + 342. Suppose -131 - 105 = -19570*i + 19629*i. Sort 1, s, -5, i.\nAnswer: s, -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 3*y**2 - y. Let z be w(-3). Let v(b) = b**3 - 4*b**2 - 4*b - 4. Let t be v(5). Put -1, z, t in descending order.\nAnswer: z, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 - (7 + -21 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.58281 kilometers to millimeters.\nAnswer: 37582810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -134175124 and -4145160.\nAnswer: -138320284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 15, 56, 113, 192, 299?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -51. Let y(z) = z**3 - 4*z**2 - 4*z - 5. Let v be y(r). Suppose v = 8*l - 1719 - 1265. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 87*h**4\/7 - 176*h**3\/7 - 83*h**2\/7 + 176*h\/7 - 4\/7 = 0. Calculate h.\nAnswer: -1, 2\/87, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 90. Suppose -f - x = 3*f - 5*b, -8 = -4*b. Let t = 103 + f. What is t rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0157996 millennia to months.\nAnswer: 189.5952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 19. Let j = 6 - d. What is the closest to 2\/7 in 0.4, j, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-2)\/4 - -1). What are the prime factors of 151*i + 5\/(-5)*2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 58. Which is greater: -19 or a?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*r + 8, -5*r + 13 - 18 = 5*l. Which is the closest to l? (a) 3\/7 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 271040*v**2 - 34*v + 3. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 13662380*u**2 - 11666268710428*u + 34998929092812.\nAnswer: -4*(u - 3)*(u + 1707799)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/((v\/(v*(v\/(v**(-5)*v)*v)\/v*v))\/v*v)*v)\/v))\/v)\/v*v*v*v*v*v*v**(2\/5)*v**(-17)\/(v\/(v*v\/(v**9*v))) assuming v is positive.\nAnswer: v**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 >= 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-18983\nAnswer: 11389.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078263?\nAnswer: 3, 23, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -96249.\nAnswer: -962490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -23. Let t = 16.8 - 2. Let x = l + t. Put -3\/19, 3, x in descending order.\nAnswer: 3, -3\/19, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 1 + 0)\/((-10)\/45). Let l(y) = 11*y**2 + 14*y - 12*y**2 - 9 + 6. Let z(s) = -s + 1. Let i(q) = -l(q) - 5*z(q). Determine i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((8 - -17) + -18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4871*b**2 + 1274*b**2 + 4899*b**2.\nAnswer: 11044*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68436735 and 11630.\nAnswer: 5815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*u - 8887, -14*u = -g - 18*u + 1773. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f - 7. Let q(n) = 10*n + 13. Let z(g) = -5*j(g) - 2*q(g). Let d be z(12). Suppose 5 = i, -4*l + d = 2*i - 1. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a08 (base 16) to base 5\nAnswer: 40233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 47*v**4 + 2*v**3 + 2*v**2 - 57. Let x(f) = -f**3 - f**2. Let l(z) = p(z) + 2*x(z). Differentiate l(k) wrt k.\nAnswer: 188*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6 and 71\/166046?\nAnswer: 498138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12146140 divided by 4.\nAnswer: 3036535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -1 + 185 + -3. Suppose 6*a + y - 557 = 0. Is a a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5078.4, 0.4, 3, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 624147647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588854 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i + 8. Let a be l(4). Let j be (-2)\/(3\/(a\/8)). What is the units digit of 41\/8 + j\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.85 plus 0.5?\nAnswer: 4.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45149 = 47*h - 60*h. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + q = 15, -q = 3*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2007675*h**2 - 6978*h + 27 wrt h?\nAnswer: 4015350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obbbooooobo. What is prob of picking 1 b and 2 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + -1 + 0)\/2. Let w be 2*(12\/24 + f*1). Which is the closest to 0.1? (a) w (b) -0.04 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p*t**4 + 2*p*t**2 + 2*p + 37*t**5 - 649*t**3 + 3*t**2 - 68*t wrt t.\nAnswer: 24*p*t + 2220*t**2 - 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -14, -0.5, 0, 3, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4812 + -4812. Sort m, -2, -5, 6, -4 in descending order.\nAnswer: 6, m, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-147)\/630*(-13)\/2 and -121\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21077654713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 + 10*t - 4. Suppose 4*b = -3*z + 29 - 1, 3*b = 4*z - 4. Calculate x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85617923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3144 and 934816.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110020 + -2112001021020?\nAnswer: -2112001201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 17.3 (b) -2 (c) 0.7 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2265\/4 + -566. Which is the third biggest value? (a) z (b) -0.3 (c) -33 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i**(-3\/8))\/((i*i*i\/(i\/(((i\/((i**(2\/51)*i)\/i*i)*i)\/i)\/i)))\/i*i**2) assuming i is positive.\nAnswer: i**(169\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8240)\/(-320) + -26)*-316.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -647917*r**2 + 168174*r + 2 wrt r?\nAnswer: -1295834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -2 (c) 1\/299 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5220543664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 64.14. Let j = -0.47 - t. Round j to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2558 and ((-48)\/(-1440))\/(4\/(-650)).\nAnswer: 15348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1702*r**3 - 1697*r**3 - 4*r**4 - 5 - 8*r**4 + 6 - 4*r in the form k + a*r**3 + v*r**2 + j*r + d*r**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000113975 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.4 + -2.4. What is the nearest to q in -0.4, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 264? (a) 383\/3 (b) 1 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + 0*y)*(-1289 - 1988 - 1163) + (2 + 1 - 2)*(y - y + y).\nAnswer: 8881*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.2. Let a = 1.5 - 1.7. Let v = z + a. Is v at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q + 14*q**3 - 18*q + 51*q.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 4*k + 6*k**2 - 3*k + k as u*k**3 + y*k + j*k**2 + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10*d + 3. Suppose -10 = 3*u - 5*c, -4*c - c = -4*u - 5. Let m(a) = 5*a - 16. Let x be m(u). Calculate the remainder when r(x) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -8, -6 in decreasing order.\nAnswer: 3, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1056 and -62\/699?\nAnswer: 246048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211*y**2 - 3667*y + 3667*y)*(2*y + 0*y + 0*y)*(-2*y - y + y).\nAnswer: -844*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 235891830\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7238706*f**2*z - 9*f*z - 103663*z wrt f?\nAnswer: 14477412*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9072, -9072, -9074, -9078?\nAnswer: -9084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42484 and 5031.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 5*w. Let b(t) = -t. Let s(c) = -5*b(c) - g(c). Let y(d) be the second derivative of 2*d + 0 + 1\/6*d**3 + 0*d**2. Determine s(y(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (63\/6)\/((-2)\/(-480)). Suppose q = -5*q + s. Suppose 0 = -x - 4*w + 88, -4*x + 0*w = -w - q. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(3 + 0)*(-9)\/81. Let z(p) be the third derivative of 0*p - 1\/24*p**4 + 0 - t*p**3 - p**2. What is the derivative of z(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1504 and 202638244.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/(b\/((b**(-1\/3)\/b*b)\/b))))**(-39)*(b*(b*b**(-5\/6)*b)\/b)\/b**(2\/31))**(-1\/32))**(-4\/23) assuming b is positive.\nAnswer: b**(-9467\/34224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k - 1 + 0 + (-10 + 1 + 1)*(-4*k + 0*k + 3*k))*(-2*k + 0*k + k).\nAnswer: -6*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Suppose -f*u = 5*o - 20, 2*o = 5*u - 11 - 14. Let c(w) = 7*w - u*w + 4 + 2*w**2 - 9*w. Calculate c(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -3, -193450, -5?\nAnswer: -193450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 1200 = -5*s. Suppose 34 + s = -19*r. Let n(j) = -2*j**2 - 5*j - 5. Let t(m) = -2*m**2 - 6*m - 6. Give r*n(i) + 5*t(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -53*k + 2875. Let j be v(53). What is the highest common factor of 1221 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n. Let j(w) = -43*w + 1. Calculate 9*h(f) + 2*j(f).\nAnswer: 13*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 232*h + 192?\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 8. Let y be 1\/3 + 84\/18. Let r = y + -13. Let p be j(r). Solve p = -2*h - 6, -2*h + 4*h = 2*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -28*d + 365. Let s be q(13). Let r = 11 - 17. Put s, -1, r in decreasing order.\nAnswer: s, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 695691, 695759, 695869, 696021, 696215, 696451?\n\"Answer: 21*c**2 + 5*c + 695665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 1 + (-12)\/(-6). Suppose 2*w = -j*w + 55. Suppose 3*z - w = -2*i, 3*i + 2*z - 19 = 5. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 - 3*u**3 + 2*u**3 + (0*u + 0*u - 2*u**2)*(8 - 4*u - 8) as a*u**3 + m*u + y + b*u**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -4\/5 (c) -16\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3189 divide 4724503500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnny when four letters picked without replacement from cyrrncykcxxncx.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 83. What is w(-12)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1. Let n(o) = -o + 2. Let k(l) = -3*f(l) - n(l). Let m be k(0). Let t be (1 + (2 - m))\/13. Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 40 = -6*i. Suppose 11179379 = 3*t + 4*x + 45079371, i*t = 5*x - 56500010. Round t to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -561 - -16267\/29. Sort z, 0.1, -1\/2.\nAnswer: -1\/2, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2 + 666 + 834 + 200 + 707 + 62*m**3 with respect to m.\nAnswer: 186*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - i**3 + 0 - 5 + 5 - 6*i**3 + (-i**2 - 5*i**2 + 4*i**2)*(-2 - 2*i + 2) + i**3 + 0*i**3 - 2*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/((-20)\/4) - -427) + -1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 14.8. Let l = 18 + v. Let j = -30.972 + l. What is j rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1 (base 15) in base 13?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-3) - (-16)\/(-24). Sort 0, s, -1 in decreasing order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22053*h**2*k**2*y**2 + 1146*h**2*k*y - 3*h**2*y - 2*h*k + 25*h*y**2 - 88*k**2*y - 6*y**2 wrt k?\nAnswer: -44106*h**2*y**2 - 176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 12. Let q(c) = -c**3 - 12*c**2 - 10*c + 15. Give q(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -j + 10, -j + 3*l = l - 4. Suppose j = 4*w, -6*w + 2*w = -o - 10. Put o, -4, 3 in increasing order.\nAnswer: -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6*q - 24 = 2*q, 4*z + 28 = 3*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*x**2 - 962*x**2 - 2681*x**2 - 876*x**2 + 159*x**2.\nAnswer: -4730*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -7684, -5, 4 in descending order.\nAnswer: 4, -1, -5, -8, -7684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246976 is divided by 71?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {j: 1, g: 2, t: 1, c: 3, w: 2, n: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -2\/3, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1296 (base 13) to base 8\nAnswer: -5142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 72878*r - 364413. What is q(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593154 is divided by 6638?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19677 - 10663 - 2724*b**3 - 9875 with respect to b.\nAnswer: -8172*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -1, -11, 15, -5, -20 in increasing order.\nAnswer: -20, -11, -6, -5, -1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q**(3\/5)\/q*(q**(-1))**(-44\/3)*((q*(q*q*q**3)\/q*q)\/(q\/(q\/(q*(q\/(q\/q**(-2\/5)))\/q))))**(-6) assuming q is positive.\nAnswer: q**(-302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11076935 and -0.2.\nAnswer: -11076935.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 8:16 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1174321997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(117) - (sqrt(13) - (sqrt(1053)*-1 - sqrt(1053) - sqrt(1053))) - sqrt(143)\/((sqrt(77)*2)\/sqrt(7))))**2.\nAnswer: 33813\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -12.8?\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7)*p)**(-25\/4))**(3\/14) assuming p is positive.\nAnswer: p**(-375\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2105*q**2 + 163*q - 13. Let x(c) = -1404*c**2 + 107*c - 9. Let u(o) = -5*i(o) + 8*x(o). What is the second derivative of u(j) wrt j?\nAnswer: -1414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1129735 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/9))\/z**(1\/2)*(z**(-2\/7)\/z)**(-1\/18)*z**(2\/13)\/(z*z**(6\/5))*(z**(-1))**(1\/92) assuming z is positive.\nAnswer: z**(-601543\/376740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3844 (base 9) in base 15?\nAnswer: cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**3 + 2*l**2 - 4*l + 4. What is q(2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 2*r**2 - 4*r - 5. Let v be y(-2). Solve -4*x = -v*k + 14 + 8, -5*x + 4*k - 28 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -60*g + 11320. Calculate the remainder when g is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let b(t) = 0*t**2 - 53*t + 2*t**2 - 14 + 53*t. What is b(d(v))?\nAnswer: 8*v**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 + 35*p - 18. Let f be h(8). Is (f\/(-8) - (-1)\/1)*476 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 6*v + 8. Let c be f(6). Suppose c*u = 3*u. Suppose 6*l - l - 2*y - 63 = u, -14 = -2*l - 2*y. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296055 is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -104, -101, -98?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -86, -149, -238, -359, -518?\n\"Answer: -m**3 - 4*m**2 - 24*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6615, 13244, 19911, 26634, 33431, 40320, 47319?\n\"Answer: 3*u**3 + u**2 + 6605*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.4671646 to three dps.\nAnswer: -20.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 130850033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m = 53*m. Let j = 19.8 + -23.8. What is the closest to 1\/2 in m, j, -1\/43?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 1656.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b3b5e2 - -1?\nAnswer: -b3b5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:53 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + 22*q - 7. Let f be j(-4). What is the remainder when 91 is divided by (-504)\/f + (-2)\/(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsfeseseimi. Give prob of picking 2 s and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-48)*(-5*80\/100 - -72)?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9837?\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/13 - (-12)\/78. Let l be (-3 - 1 - -6)*357\/6. Suppose q - 125 = -k*a, -q + l = -0*q + 3*a. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w + 145*w + 171 = 75*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17))**(-22\/7) assuming q is positive.\nAnswer: q**(374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/12 + (-22)\/(-8). Let l = 317 - 322. Let u be 120\/75 - 1*2\/l. Solve u - 3 = b, b - 9 = -a*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*x + 2*l + 18, 12 = 3*l. Calculate the remainder when 22 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*f - 19 + 27 + 2*f wrt f.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083377297 rounded to 4 decimal places?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-45)\/(-6)*(-2)\/12*-32?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 + (5 - (-3 - -16)) + (-126 - -125)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + 5. Let y be -159 + ((-3)\/(-6) - (-3)\/(-2)). Let t = y + 160. Solve -h*p + t + 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let p(n) = -21704953*n**2. Determine p(u(l)).\nAnswer: -195344577*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3511.\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/6)\/(5\/15). Suppose -p = -3*p + u. Calculate the remainder when p is divided by 11\/3 + 3\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 6136 = 14*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -921998 < -921997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-18 - (-30 + 20))*(-7)\/(-2)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*r + 90*r - 56 = 145*r. Calculate the least common multiple of 28227 and r.\nAnswer: 225816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2796 - 2794. Solve d*a + 6*m - 16 = 9*m, -5 = a + 5*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y**2 + 7*y + 5. What is v(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)\/k*k)\/(k*k*(k**(-13)\/k)\/k)*(k*k**(-18))\/k**9 assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 392*w - 9391. Determine b(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m + 3 - 5 + 16*m. Let d(j) = 19*j - 5. Let v = 135325 - 135327. Give v*d(q) + 5*n(q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, 0.3, -907\/12, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408*h**3*o**3 + 1102*h**3*o**2 - 22*h**2*o**3 - h**2 + 173*h*o**3 + 47*h + o wrt h.\nAnswer: -2448*o**3 + 6612*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*m + 14, 0 = -3*m - v + 2*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15083 (base 13) to base 3.\nAnswer: -2000101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 891875*k**3 - 16*k - 1717?\nAnswer: 5351250*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-5*w**3 + 12*w**3 + 3*w**3).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408036664?\nAnswer: 2, 7, 7286369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23953492 or 23953495?\nAnswer: 23953492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48417 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 518983243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 3*b**2 + b - 1. Let u be r(-2). Let n be 29*(3 + 17)*u. What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (117\/30)\/(-1). Which is the third biggest value? (a) q (b) -1 (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120769?\nAnswer: 11, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*r - 469*r = -56960. Is r less than 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.637 from 5.\nAnswer: 6.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2 = 5*w + 2*f, -13 = -3*w + f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = -z, -13 = 2*z + z + 4*g. Let r be z + 0 - (-14 - -10). Let l(b) = 9*b + 1. What is the tens digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, -7 in descending order.\nAnswer: 4, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 3. Let g be p(-6). Suppose -g*r = -4*r + 3. Which is the second biggest value? (a) -0.1 (b) -2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/17)*y\/(y\/y**(-9\/5)*y)*(y\/(y*y**(-19)))**(-25\/2))**(-34) assuming y is positive.\nAnswer: y**(40811\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -168.97.\nAnswer: -169.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/5930475 and -59\/4280.\nAnswer: 47443800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (406\/(-98) - -5)*(-21)\/(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2268) + -1*sqrt(2268)) + sqrt(2268) + sqrt(2268) + -1*sqrt(2268)*-6)\/((sqrt(9)*-1*-5 - (sqrt(252)\/sqrt(4))\/sqrt(7))*6).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/9 - 8*w**3 - 482*w**2\/9 - 304*w\/3 - 56 = 0.\nAnswer: -3, -2, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2)\/1 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 337*t**3 - 42*t. Let r(w) = -335*w**3 + 34*w. Give 4*g(a) + 5*r(a).\nAnswer: -327*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-39)\/(q*q**(-2\/3))**2*(((q*((q\/q**0)\/q)\/q)\/q)\/q)**12*(q\/(q\/((q*q\/(q**(1\/3)\/q))\/q)))**(-30\/7) assuming q is positive.\nAnswer: q**(151\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4727*z + 85096. Determine m(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 173, 865, 1, -2\/3, -1, 4, -2\/9?\nAnswer: 865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2436992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**3 + 3*m**2 - 6*m + 1. Let v(k) = -k**3 - k**2 - 2*k + 1. Give 2*v(n) - w(n).\nAnswer: 2*n**3 - 5*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08763011 rounded to three decimal places?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + sqrt(13))*-1 - (sqrt(637) + sqrt(637)*-1) - (sqrt(468) + sqrt(468) + sqrt(468) + -1 + -4)**2.\nAnswer: -4237 + 178*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 + 9 - 2*i**2 + i**2 - i**3 - 5*i**3 as q*i**3 + u*i + b*i**2 + r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6854.\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -2, -0.1, 2\/23, -24\/13?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**8\/588 - 32*h**7\/735 + 26*h**6\/105 - 16*h**5\/35 + 173*h**2. Factor u(m).\nAnswer: 4*m**2*(m - 12)*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*1*1*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65772 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (1 - -1 - 3). Let a be 4095\/6 - j\/(-4). Is (-1)\/2 + a\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x + 3*l + 12, -2441*x + 27 = -2445*x + 5*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6858224 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12 - 7 + 13*o + 2 - 4*o. Let t be x(9). What is the greatest common factor of t and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let k(w) = -17*w**2 - 1 - 9*w**2 + 13*w**3 - 16*w**2 + 42*w**2. Give k(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37152*p**4 - 27659 wrt p?\nAnswer: 148608*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 13021?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 2, f: 5}. Give prob of sequence cf.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -64007 minus 11?\nAnswer: -64018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 588329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 1, c: 13}. Give prob of sequence bcee.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445 and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l - 4713967*l**3 + 2*l**2 + 4713896*l**3 + 8*l + 2. Let m(x) = -x**3 + x**2 + x + 1. Give 2*m(u) - z(u).\nAnswer: 69*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48931 and 36625?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 + 2. Let t = 7.17 + -0.17. Let d = -3 + t. Which is the second smallest value? (a) g (b) d (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/240 + d**4\/24 + d**3\/6 - 31*d**2. Factor j(z).\nAnswer: (z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 10 = 0. Let w be 1\/5 + (-2500002)\/o. Round w to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-2)*(-7772)\/1667094.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**3*t**2 - 342*b**3*t - 36*b**3 - 94*b**2*t + 860*b**2 - 5*b*t**2 wrt b.\nAnswer: 60*t**2 - 2052*t - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-610)\/50 - 3\/(-15). Let m be 1*(-1132)\/d*3. Suppose 44 = 3*t - m. Calculate the remainder when t is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 4*l - 5*l)*(2 - 4 + 3) - 2*l + 0 + 0 + 262 - l + 2*l - 263.\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30\/19 - 248\/133. Which is greater: 0.04 or b?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 27025 in ascending order.\nAnswer: -1, 5, 27025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 2 + (-14 - -17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/10 and 20\/1914649?\nAnswer: 19146490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9683 - 19378 + 9695 + 27247*t.\nAnswer: 27247*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 98142495 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, v: 9}. Give prob of picking 2 v and 1 t.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - g + 5 = 4*g, -i = 2*g - 3. Suppose 4*o = 6 + 2, i*o - 1238 = -4*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08404 - 2.71.\nAnswer: -2.79404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 358 + 10*u - 18*u + 358.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**4\/12 + 71*i**3\/6 + 9*i**2. Does 3 divide u(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 56045\/15)*(-1)\/(-2). Let l = w + 1890. Calculate the common denominator of -47\/164 and l.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5771 * -0.5\nAnswer: 2885.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence innn when four letters picked without replacement from {n: 3, i: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-243)\/162)\/(((-9)\/4)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 611018873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*u + 20 = 0, -2*u - 13 = -3. Let f be (-162)\/h + 4\/2. Let n = f - -159. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 8*l**2 - 6*l - 6. Let q(v) = -v**3 + v**2 - v + 1. Let z(o) = c(o) - q(o). What is z(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 23 - 128 + 107 - 7*n**2 + 5*n. Let r(t) = -7*t**2 + 4*t + 2. Suppose -2*p = -3*l - 9, 32 - 3 = -4*l - 3*p. Give l*r(u) + 4*c(u).\nAnswer: 7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 71.79471 micrometers?\nAnswer: 0.007179471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(((a\/(a\/a**3*a))\/a)\/a))\/a*a**(1\/10)\/a)\/(a**4\/(a\/a**(-4))))\/((a**1*a)**(-1\/15)*(a**(1\/2))**(-4)) assuming a is positive.\nAnswer: a**(97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) - (-2995814)\/9. Suppose 0 = 3*h - t - 1167132. Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - s + 0*s - 3*s + 63 - 70 in the form v*s + u + w*s**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -719128.8 take away -54.8212?\nAnswer: -719073.9788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2268 + -2277. What is the fifth smallest value in -5, -3, 1\/3, -2, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 11*j**2 + 10*j - 8. Calculate y(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29756964 divided by 4959494.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*i - 0*i - 492, -488 = -5*w + 2*i. Let r = -78 + w. What is the second derivative of 2*m**3 + 10*m**3 - 28*m**3 + r*m wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eykecekkarak. What is prob of sequence ekra?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*-3 - sqrt(136)*-4*-2)\/((sqrt(96)\/sqrt(4)*-6)\/(sqrt(12)\/(-2*sqrt(4)))).\nAnswer: -11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491026918 is divided by 1556.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(260\/(-78))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 13386?\nAnswer: 93702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3182564, -6364971, -9547378, -12729785, -15912192, -19094599?\nAnswer: -22277006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8.908209 + -23.01819\nAnswer: -14.109981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 7*u**2 - 7*u - 10. Let d be r(8). Let k = 4 - d. Suppose 19*j - 35*j = -64. Solve 7*f - j*f = -5*i - k, 4*i = 3*f - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -8, -16, -28?\n\"Answer: -2*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 14 = 3*q - 2, -16 = -5*q - 3*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1204728 divided by 50197.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + s + 212 - 215, 0 = -6*c + 42*s - 198 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163267368 by 6.\nAnswer: -27211228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*i**3 + 14*i**3 - 33*i**3 - 3 + 20*i)*(-3 - 1 + 1).\nAnswer: 6*i**3 - 60*i + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k**2 - 10*k. Let a(z) = -z**3 + 47*z**2 - 89*z - 49. Let i be a(45). Let j(d) = d**2 + d. Determine i*v(o) - 40*j(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggpdgpgpfg. What is prob of picking 1 g and 1 f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215 - -193.3. Let p = h - -21.8. What is the biggest value in p, -0.3, 0, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2556\/(-60) + 38.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b**5\/2 + 425*b**4\/2 + 4243*b**3\/2 + 499*b**2\/2 - 2126*b - 462 = 0. Calculate b.\nAnswer: -33, -14, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36701737 is divided by 1468066.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 28. Suppose -3*z + 2*n + 9 = 0, 0 = -2*z - 5*n - 1 + u. Suppose 0 = -z*s - 2*h + 127, -12 - 37 = -2*s + h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 11*i**2 + 20*i + 11. Let c be m(-6). Suppose 3*k - 2035 = c. What is the greatest common factor of 78 and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 2778\/(-132))*(68\/28 - 3)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13040, 26069, 39104, 52145?\n\"Answer: 3*a**2 + 13020*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1976 is divided by 486?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9859 is divided by 63?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 1, r: 3, t: 3, q: 5}. Give prob of picking 1 r, 1 l, and 1 t.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 8. Let l be -7 + 9 - (2 + 1). Let q(m) = -m**2 - m - 1. Let o(a) = l*p(a) + 2*q(a). Determine b, given that o(b) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o. Let h(v) = v**2 - 9. What is h(k(b))?\nAnswer: 9*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 486907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = -3*k. Let c = 0 + -4. List the prime factors of (-1)\/k + (-43)\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 5, -1 in ascending order.\nAnswer: -1, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*r = 19, 5*g + 2776*r = 2794*r + 43 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 378\/42 + (-21)\/3. Let j(u) = u**2 + 3*u. Let b be j(-4). Suppose -b*q + 25 = 5. Solve 0*s + 15 = s - 5*y, -q*y = g*s + 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3 + 95*i**2 + 241?\nAnswer: 6*i**2 + 190*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190133969.\nAnswer: 19, 10007051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t**(3\/5))\/((t\/t**(-4))\/((t\/t**(-2)*t)\/t)) assuming t is positive.\nAnswer: t**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, 2, -3\/1765639, -2\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 2)*(4 - 4 - f)*(0*f**2 + f**2 + 0*f**2).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.24 (b) -2\/2331 (c) -0.5 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtbel. Give prob of sequence ql.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132691257?\nAnswer: 3, 89, 55219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (149*v**2 - 856*v + 856*v)*(-12*v**2 + 65*v**2 + 15*v**2 + 69*v**2) to w*v**4 + b*v + u*v**2 + l + d*v**3 and give w.\nAnswer: 20413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:46 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1038.028864 - 1038. Let g = -0.029 + u. Round g to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(16\/(-10) - (-27)\/45). Suppose 2*u - 272 = -i*d, -360 - 320 = -5*u - 2*d. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/2 + 23*q**4\/2 - 115*q**3\/2 + 233*q**2\/2 - 104*q + 34 = 0. What is q?\nAnswer: 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 + 6*l - 4. Let w be r(5). Let p be w - -11*1\/(-7). Put p, 0.1, -5 in decreasing order.\nAnswer: 0.1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/86 + (-944)\/(-43)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632072330.\nAnswer: 2, 5, 31, 2038943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40511268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566064685 = -15*o + 566062975 for o.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7035785, -14071561, -21107329, -28143083, -35178817, -42214525, -49250201, -56285839?\n\"Answer: f**3 - 2*f**2 - 7035777*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q**2 - 13*q - 16. What is the smallest common multiple of (55 - -25) + (-4)\/1 and n(-3)?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -222*s + 1. Let v be y(2). Let o = v - -785. What is the greatest common divisor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28680 divided by -3\nAnswer: -9560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 1066 + 1066.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/105 + -16\/21. Let y = -84 - -85. Which is the smallest value? (a) y (b) i (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*x - 12. Let i = 25 - x. Let h = -44 - -54. Calculate the remainder when i is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 107 = 80. Sort 13, -5, 5, k.\nAnswer: -5, k, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -490*b**6*d + b**3*d**2 - b**2*d - 606*d**2 wrt b.\nAnswer: -58800*b**3*d + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 133658.16973 and -39.\nAnswer: 133619.16973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136267?\nAnswer: 43, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 166 - 26. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99367 is divided by 537?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100554108*j**4 - 190682019 wrt j.\nAnswer: -402216432*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48 - (-3 - 2))\/1. Is 55 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4900750 is divided by 288278.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (731097\/(-36))\/((-20)\/80) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - x + 4. Determine u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1140 + -550. What are the prime factors of m?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 196 = g + 307, -5*w + 825 = 5*g. Calculate the remainder when 4675 is divided by w.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 167, 345, 583, 875, 1215?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*k*t**3*w - k*w**2 + 9*t**3*w**2 wrt w?\nAnswer: -2*k + 18*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 14*f - 9. What is the remainder when 51 is divided by b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 22 + -13 + -14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 10*u - 2*u - 9)*(-u + 1 - 1).\nAnswer: -8*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 3*d**2 + 4. Let t(m) = -2*m + 25 + 4*m - 25. Determine y(t(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 11. Is y(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f - 4. Let v(m) = -17*m - 7. Let k(q) = -7*p(q) + 4*v(q). Let c(i) = 10*i**2. Determine c(k(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-7))\/(q*q\/q**(-12)*q))\/(q\/q**(10\/11))**(-40))**(-1) assuming q is positive.\nAnswer: q**(37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 - 2*r**2 + 4*r - 3. Let h(s) = -s**3 + s**2 - s + 1. Determine 2*h(m) + q(m).\nAnswer: m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0851396 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 + 4*n**4 - 20*n**3 + 12*n**2.\nAnswer: 4*n**2*(n - 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = 2*m. Let k(o) = -o**3 - 7*o**2 + 4*o + 14. Is k(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7929906*p**2 - 11819730*p wrt p.\nAnswer: 15859812","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/11429 and -37\/2078.\nAnswer: 22858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 2*o**2 + 24 - 19 + 2*o**2 - 2*o**2 + 2*o**2 + (3*o - 5*o + 4*o)*(-o - 3*o + 2*o).\nAnswer: -4*o**2 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6201674250 and -274?\nAnswer: 6201673976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2500 - 0?\nAnswer: -2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101 - 210?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-27)\/(-234)*-18) + -6?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28801 + 0.07021. Is o smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169911 + 169905.50196. Let y = 13776 + -13781.5. Let p = v - y. Round p to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/9*(-9)\/5. Suppose n - w + 1 - 2 = 0, 6 = i*w. Put n, 48, -2, -5 in ascending order.\nAnswer: -5, -2, n, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62478 and 27.\nAnswer: 62478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/2, 828, -2\/3, -2\/5, 2\/25.\nAnswer: -3, -2\/3, -2\/5, 2\/25, 1\/2, 828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(sqrt(76)*2*-4)\/(sqrt(28)\/(sqrt(7) - (sqrt(7) - sqrt(14)\/sqrt(2)))).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27817447919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*-45*((-540)\/1050)\/3\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33698731 to the nearest integer?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 1218096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*r + 21, k + r + 3 = -4*r. Let h(m) = 4*m - 2. Let v be 8\/(-6)*18\/(-4). Calculate the lowest common multiple of h(v) and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/12*20)\/(3\/(-33)). What is the greatest common factor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3022 + -12089\/4. What is the closest to -105 in -5, i, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14, 4, -5, 9 in ascending order.\nAnswer: -5, 0, 4, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*p + 1 = -3*w, -2*p - 7 = 5*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198968*m*y**5 + m*y**3 - 2*m*y**2 - 816*m + 200*y**2 wrt y?\nAnswer: -11938080*m*y**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/120 + m**5\/20 + m**4\/8 + m**3\/2 - 99*m**2. Suppose 1 = 4*g - 5*w, 2*g - w + 0*w = 5. Give l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 5908.8.\nAnswer: 5908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from hqqhqqhmmmmmmqmqqq?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3378181, -3378177, -3378173, -3378169?\n\"Answer: 4*q - 3378185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j + 96. Let o(f) = 11*f + 97. Let t(w) = -2*d(w) + 3*o(w). Let v be t(-8). Which is the second biggest value? (a) 3 (b) v (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = -8*r + 275. Let u = 108 - r. What is the third smallest value in u, -1\/2, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286439404 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*f - 26, 3*q + 5*f + 42 = -1. Let t = q + 16. Differentiate -2*m**2 + 6*m**2 + t - 12 with respect to m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*x + 96, m - 3*m = 3*x - 28. Suppose 4*t + 3840 = m*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 - 38*r**2 - 15*r + 31. Let g be y(13). Let j be (-12)\/(-18)*3\/5. What is the biggest value in 1, j, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -83. Calculate the greatest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 218246427 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 51*y + 7*y**2 + 6*y**2 + 11 - 53*y to the form i*y**2 + r*y + v and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -8487756 and -2135.65.\nAnswer: -8489891.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**4 + 8*g**2 - 20*g - 27. Let b = 5 + 6. Let o(n) = -16*n**4 - n**3 + 38*n**2 - 101*n - 135. Let c(q) = b*u(q) - 2*o(q). What is v in c(v) = 0?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.255 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2064 divide 152665824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 106?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 4725\/58?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) + (-2)\/(-2). Suppose 0 = 5*z + 12 + 8. Let v be (-3)\/(-1 + (-10)\/z). Which is the third biggest value? (a) 0.4 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -267 and 0?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 4, d: 2, e: 3, h: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 - -177. Let i = -25.2 + 27. Let m = -1.9 + i. What is the nearest to h in 1\/3, 1\/9, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**7\/42 - i**5\/30 - 3*i**2. Find the third derivative of m(f) wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 57500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 5*l**2\/2 + 212*l + 95. Let a be p(-28). What is the greatest common factor of 48 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29610 divided by -2115.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293417772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/7)\/r*r)\/r**3*r**(-5)*r\/(r\/r**(-1\/30)) assuming r is positive.\nAnswer: r**(-1357\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (234\/15)\/((-8)\/(-20)). Let a = w - 14. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.834\nAnswer: -4.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 4. Let u(w) = -w - 1. What is -14*u(b) - 4*z(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44477.\nAnswer: 79, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -21. Suppose 0*b - f*n + 17 = 2*b, 2*b - 5 = n. Let t(h) = h**2 - 6*h + 2. Let j be t(6). Solve -j*w + b - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528626.2l to millilitres.\nAnswer: 528626200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 827252 divided by 206813.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y = -5805 + 5720 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*x + 2*i + 2*i, -5*i - 24 = -x. Let d be (-12 + 14)\/(x\/(-2)). Factor -1\/5*m**5 + 0 + 0*m - 3\/5*m**3 + 1\/5*m**2 + 3\/5*m**d.\nAnswer: -m**2*(m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -75. Suppose 246*s - 247*s = -4*q + 2, -4*s = q - 60. Is r smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + k**2 + k - 7. Let f(w) = w**3 - w + 6. Let t(r) = 2*d(r) + 3*f(r). Let v(j) = -j**2 + 5*j - 1. Let o = 7 + -3. Let c be v(o). What is t(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 126, 654, 1684, 3384, 5922?\nAnswer: 9466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4655 or -4656?\nAnswer: -4655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469565572.\nAnswer: 2, 7, 79, 212281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 90*z = -92*z + 93, 0 = 2*z. Suppose -3*m + 12 = 0, -5*m = 2*x - 26 + 2. Suppose -5*p = -x - r. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 divided by 93270?\nAnswer: 593\/93270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1219, 619, -12 in descending order.\nAnswer: 619, 5, -12, -1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 24 = -2*u, 253*u = b + 250*u - 22. What is the highest common factor of 3094 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Suppose 13 = -n*v - 7, -74 = -2*m - 4*v. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293 + 2341\/8. Let w = 7\/8 + y. Find the common denominator of w and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18967 = -5*r, -11*r + 8*r + 11389 = 4*c. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 85. Suppose 2*j + 17 = r. Suppose t = 4*t - 165. What is the remainder when t is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4255 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91287377*x - 157434502 wrt x?\nAnswer: 91287377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26\/3*i**3 + 214\/9*i**2 + 24*i + 8 + 8\/9*i**4 = 0 for i.\nAnswer: -6, -2, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -151*a. Let m be z(-3). Let n be (-4)\/(-16) - (-7318)\/16. Let t = m - n. What is the common denominator of t and -103\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*415556\nAnswer: -41555.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -4508.\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*z**4 - 40 + 14516*z**2 - 14516*z**2 wrt z.\nAnswer: -148*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + 1 + (-12 - -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3)\/((-756)\/504) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65 in -0.2, 0.06, 2\/9, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -214, -428, -642?\n\"Answer: -214*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - -13. Suppose 56 = 5*g - j. Suppose -g = 5*x, -x + 168 = 2*u + 2*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.1 plus -3668019114?\nAnswer: -3668019370.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + f + 9. Let m be s(-10). Suppose -4*o + 4 = 0, -4*r + 2*o = o - m. Suppose 2*j + 25 = 7*j. Solve -r = j*u, 2*p - u = 4 - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161 times -91.05\nAnswer: 14659.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 9 + 9)*(-2 - 2 + 3)*(-10*s**3 + 2*s**2 + 0*s**2 + 12*s**3).\nAnswer: 4*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 20 = -4*o, -2*x + 4*o + 10966 = 10958 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001295766 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26967 is divided by 2451.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -44*f**3\/7 - 1268*f**2\/7 + 2960*f\/7 - 496\/7 = 0.\nAnswer: -31, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Suppose 2*h + 161 = q*g - 3*h, 3*g = -3*h + 114. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 * 2299\nAnswer: -229900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 1. Let w(k) be the second derivative of -k**5\/5 + 7*k**4\/6 - 7*k**2 + 67*k - 1. Determine 56*j(b) - 4*w(b).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 23\/7 - 256\/896. What is a in 0 - 10\/7*a**4 - 8\/7*a**2 + 16\/7*a**u + 2\/7*a**5 + 0*a = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6807, -13622, -20463, -27342, -34271, -41262, -48327?\nAnswer: -55478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/5 + 19568*r**3\/5 + 71794992*r**2\/5 + 117073700288*r\/5 + 71590567726112\/5 = 0 for r.\nAnswer: -2446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0183070976 to 5 decimal places.\nAnswer: 0.01831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 10*f - 20. Determine v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -16. Sort y, -1\/2, 5 in increasing order.\nAnswer: y, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 + 5*g - 218. Let z be f(0). Let u = -215 - z. Solve 2*t + u = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-9 - -20)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005870141 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/3)\/(10\/(-45)). Suppose f + 0 = d. Let a(s) = -s**2 - 18*s - 35. Calculate the remainder when f is divided by a(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-4\/5)*u)*u**(-7)*(u**(-3\/7)\/u*u)\/(u*u\/(u**7\/u)) assuming u is positive.\nAnswer: u**(-92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 4*x**2 - 4*x - 407. Let y(o) = 2*o**3 - 5*o**2 - 5*o - 405. Give 4*y(h) - 5*z(h).\nAnswer: -2*h**3 + 415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -1a8?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2632308.6 months?\nAnswer: 219359.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6397413 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5. Suppose -5*q + 12 = -n, -3*q + s*q + 4*n = 3. Let z(y) = q*y**2 - y**2 + 2*y - 2*y. Let h(l) = l**2. Determine z(h(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1064 and 99\/56.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 13*t**2 - 15*t + 17. Determine g(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-5*-1 + ((sqrt(14) + (2*sqrt(14) - sqrt(14)))\/sqrt(2))**2 + 1.\nAnswer: 5*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*p + 125*p - 190*p.\nAnswer: 83*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014357206 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 2)*40 - -1. Let t = 1138 + -1103. Which is greater: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**3 + 2*g**2 - 12*g + 3. Is 10 a factor of t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2287*u - 4817*u + 11295 = -2279*u for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u - 4. Suppose -4*s + 2*a + 39 = -3*a, a = -3*s + 15. Suppose s*p = 2*p - 12. Does 13 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + y + y - 198 = 0, -3*v - 5*y - 289 = 0. Let u = -158 - v. Let g = -35 - u. Solve 5*b - 3*n = 2*n + g, -2*n = -4*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81745237540.70081 - -81742489911. Let b = 2747612 + u. Let f = b + 17.7. Round f to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/7 - 72\/(-126). Let l(h) be the first derivative of 180*h - 5\/4*h**4 - 55\/3*h**3 - 5 - 60*h**t. Find i, given that l(i) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46035\/(-1364))\/(130\/(-104))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 990013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:35 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 65\/10 - (-10)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 91, 242, 493, 844, 1295, 1846, 2497?\n\"Answer: 50*h**2 + h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -55, -40, -5, 56, 149, 280, 455?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28483896 and 15695208?\nAnswer: 769065192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 154, 292, 420, 538?\n\"Answer: -5*s**2 + 153*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + q + q)*(-28 + 15 - 36) + 0 - q + 0.\nAnswer: 146*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 30*h - 5. Let y be o(-17). Suppose -i + 297 = 2*i. Let b = i + y. What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -5*y - 33. Let r(t) be the first derivative of -1 + 0*t**2 - 3\/4*t**4 + 0*t**y - 3*t. Differentiate r(z) wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976.0692m in nanometers?\nAnswer: 976069200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(-5*1*sqrt(2) - sqrt(2)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 22 = -f, -f + 5*w + 191 = 218 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -432020?\nAnswer: 432011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 - c - 2. Let v be h(2). Suppose 3*k - 2*j = -6*j + 10, 2*k - 4*j = 20. Let a be (k\/v)\/(9\/12). Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6779, -6778, -6777, -6776, -6775?\n\"Answer: g - 6780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u**2 + 5*u**3 - 2*u - 7*u**2 - 4*u**3. Let m(g) = 3*g - 4. Let l be m(8). Suppose y - l = 6*y. Determine p(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 1, 0, -10967 in descending order.\nAnswer: 5, 1, 0, -7, -10967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 94*t**2 - 196*t.\nAnswer: 2*t*(t - 2)*(t + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*s + 66*s = -20. Which is the closest to 1? (a) 6 (b) 3 (c) 5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*d**3*l*s + 4*d**3*l + l*s - 108*l wrt s?\nAnswer: 23*d**3*l + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -583\/42 - 72\/7. Let w be (1\/(-76))\/((-90)\/(-16)). Let u = w + -3767\/570. What is the common denominator of k and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38783 (base 12) in base 9?\nAnswer: 126730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/142784 and -91\/45540.\nAnswer: 70678080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51840\/23 - -2254. Suppose 0 = -b + 6*b - 10. Suppose 5*k = b*k. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00646 and 7.0176?\nAnswer: 0.045333696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*((-30)\/(-6))\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -82.06.\nAnswer: 41.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2563 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12600 and 900?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.103 + -0.0903. What is k rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 1823116*r + 415468993682.\nAnswer: 2*(r + 455779)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -246*f + 5\/2*f**3 + 9*f**2 + 0 + 1\/4*f**4. Factor j(z).\nAnswer: 3*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 20647298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054516 to five decimal places.\nAnswer: -0.00545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 226, 5, -5, -1, -2.\nAnswer: -5, -2, -1, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855000 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (-1 + sqrt(7)))*3 + 2*(3 + sqrt(7)))**2.\nAnswer: 36*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6 = -3*v + 4 - 7, -18*v - 30 = -4*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + m + 12. What is g(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + 6*b - 3*b + 3 + b - 3 + (-4*b + b + b)*(-5 + 5 - 1) + 2*b - b + b + (1 + 15 + 85)*(b + 0 - 1 + 0*b).\nAnswer: 112*b - 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-2\/9))\/d)\/d**(1\/2))\/(d*d\/(d*(d**0*d)\/d))**(-6\/23)*(((d*d*d*d**(-1)*d)\/d)**(-1\/17))**(-7) assuming d is positive.\nAnswer: d**(12715\/7038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3483107 weeks in nanoseconds?\nAnswer: 210658311360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i + 2 - 2*i + 4*i + (0 - 1 + 0)*(4 - 2*i - 4) + 3*i + 0*i - i + (0 + 0 - 2*i)*(0 + 2 - 1) + 3 - 3 + i - 3*i + 0*i + i)*(4*i - 20*i + 23 + 14*i).\nAnswer: -22*i**2 + 249*i + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 126331 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*f - 22 + 9 + 13.\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60596 (base 12) to base 11.\nAnswer: 86114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z - 1. Let u(i) = 8*i - 1. Suppose 4*n - v = -0*n + 25, n - 4*v = 10. Give n*o(y) - 7*u(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/119 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w\/w**2))*w*((w\/(w\/(w**(1\/3)\/w)))\/w)\/w)**(-42) assuming w is positive.\nAnswer: w**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 336703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -470*j**2 - 26792*j - 125. Give p(-57).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(3) + sqrt(18)\/sqrt(6)))**2 + sqrt(2) + sqrt(2) + sqrt(20)\/(1*sqrt(10) + sqrt(10)) + -4 + -2 + (1*(sqrt(128) + 0)*4)**2.\nAnswer: 5*sqrt(2)\/2 + 4085\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*s + 78, -5*v + 0*s - s + 66 = 0. Suppose 152 - v = 3*g. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5497255 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = -25*b - 55. Suppose -60*s = -b*s - 975. Calculate the lowest common multiple of 15 and s.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 = -6*h, -4 = 16*a - 19*a - 4*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:58 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 32*m + 328\/5.\nAnswer: -2*(m - 82)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 365329698869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/66*(-1 + -2). Suppose -21 = -4*i - m. Solve -f = 4*x - i, -f + 0 - 2 = -3*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -f. Suppose f*w - 44 = -w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 + 2*d - 12. Let x(b) = 4*b + 27. Let r be x(-8). What is the units digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**17*f)\/f*(f\/f**(1\/15))\/f assuming f is positive.\nAnswer: f**(254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -115900580 rounded to the nearest ten thousand?\nAnswer: -115900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 63, 139, 259, 429?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -7*f**6\/15 - 7*f**2 + 4*f. What is the derivative of i(w) wrt w?\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 175278*t**3 - 1480783*t**3 + 159388*t**3.\nAnswer: -1496673*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -604, -615, -620, -613, -588, -539, -460?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 6*u - 5*u + 25, -3*l + u - 75 = 0. Sort l, 0, 1\/2, -0.3 in decreasing order.\nAnswer: 1\/2, 0, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (-132)\/(-21) + (-20668)\/210. Let j = -98 - o. Suppose j*b**3 + 2\/5*b**2 + 4\/15*b + 0 = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/17 - 108*n\/17 + 1458\/17.\nAnswer: 2*(n - 27)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3 = -6*x, -2*h - 3 = x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, 0, -15\/29, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 3*l**2 + 3. Let m be n(3). Let j be ((-20)\/30)\/((-11)\/m). What is the third smallest value in 1, 0.01, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7885, -31552, -70999, -126226, -197233, -284020?\n\"Answer: -7890*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6269523043?\nAnswer: 7, 19, 47139271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 + (3 - 3). Let y be (-12)\/(-81) - 2\/9. Is y less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*i**3 - 3*i + 37*i**3 - 7*i + 2 - 60*i**3 as z + d*i + m*i**3 + l*i**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.15 (b) -3 (c) -2\/11 (d) -2\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58a95 (base 11) in base 6?\nAnswer: -1454143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 280?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 716 - 705. Which is smaller: 22 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 97*i**5\/4 - 79*i**2\/2 + i + 16. What is the first derivative of v(s) wrt s?\nAnswer: 1455*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12832 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 11*g**2 - 28*g - 36. Let f be 3 + (0\/7 - 16). Is 19 a factor of h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28.7 or 7367?\nAnswer: 7367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -67, 0 in decreasing order.\nAnswer: 2, 0, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.164238 years in months?\nAnswer: 61.970856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.174 * 0.2.\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/3162 and -101\/10.\nAnswer: 15810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let w(c) be the second derivative of 0 - 1\/8*c**4 - 4*c + 0*c**3 - 1\/2*c**2. Let s(o) be the first derivative of w(o). Determine l(s(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*g = 194807, -57*v - 129883 = -59*v - g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.85 in -374, 4\/5, -3, 32?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j = 36*j - 2*v - 2446, 3*j - 4*v = 2438. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + -57. Is (-24)\/w + 1148\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 659, 1296, 1941, 2600, 3279, 3984, 4721?\n\"Answer: z**3 - 2*z**2 + 636*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -520 + 520 - 16*x**3 + (4*x**2 - 3*x**2 - 3*x**2)*(x + 0 + 0) - x**3 - 4*x**3 + 4*x**3 - x - 2*x**3 + x.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/12 - v**4\/24 - 7*v**3\/6 + v**2 + 8*v. Let s(p) be the first derivative of b(p). Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 6. Suppose 0 = -7*v + c*v + 12. Suppose v*j - 6 = 3. Solve j*a = 10 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.08146\nAnswer: -0.32584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.31124 millimeters to meters.\nAnswer: 0.00531124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 57536?\nAnswer: 57536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760984 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or 0.1129?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001397999 rounded to five dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/15*72\/48\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*x + 5*u + 6, 0 = u + 1. Let j be (-2)\/3*x\/4. Which is smaller: 6\/13 or j?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - 3.1. Let b = 13 - 18. Let q = b - -4.8. Put i, q, 5 in decreasing order.\nAnswer: 5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367071 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/27 - (-89500)\/45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x - 20. Let k be q(-2). Put k, -36, 3 in ascending order.\nAnswer: -36, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + -5.09. Which is the biggest value? (a) 0 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -23*u**2 - 5*u + 4. What is h(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -973, -2141, -3763, -5839, -8369?\nAnswer: -11353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 3*i + 3. Let t be n(1). Which is smaller: t or -1\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:08 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0613101 micrometers?\nAnswer: 0.0000000613101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 260 = -3*f - 3*g, -4*f = 3*g - 514. What is the remainder when f is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114020 or 114118?\nAnswer: 114118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 19. Calculate t(17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5492, -22043, -49636, -88277, -137972, -198727?\n\"Answer: -a**3 - 5515*a**2 + a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-42 - 66*h**2 + 42).\nAnswer: -198*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 394\/8 + (-3)\/(-4). What is the greatest common factor of 125 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4\/2 + 885*k**3\/2 + 440*k**2.\nAnswer: 5*k**2*(k + 1)*(k + 176)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 12) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/1*((-37)\/(-74) + 9\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldbfdzx. What is prob of sequence bldd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612681448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-3))\/((-10)\/(-12)). Let b = 16 + -4. Suppose j*l - b = -0. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133058369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.04 + -15. Let b = -0.07 + u. Sort -3, -2, b in descending order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdvd when four letters picked without replacement from {o: 1, v: 7, d: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 8*p**2 + 12*p. Let h be c(-6). Solve h = -12*o + 13*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105410 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(17))*2 + -5.\nAnswer: -11 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 22 + 19 = -45. Let g(t) = t. Let l(c) = -2*c**2 + 5*c. Give u*l(s) - 10*g(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 33 + (0 - (0 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 10\/33, 540.2, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 39, -11, -71, -135, -197, -251?\n\"Answer: r**3 - 14*r**2 + r + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 3131?\nAnswer: 6262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*q*x - 15*q + 90*x**2 + 229 with respect to x.\nAnswer: 9*q + 180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 10a?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2003628767 - -4459.\nAnswer: 4458.7996371233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*m**2 - 37 + 7*m - 15 - 88*m**2 + 7.\nAnswer: -325*m**2 + 7*m - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a - 305 = -93. Let r(b) = -7*b**3 - 4*b**2 + 4*b + 7. Let k(z) = -6*z**3 - 3*z**2 + 3*z + 7. Determine a*k(j) - 3*r(j).\nAnswer: -3*j**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 485220 and 3660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -29*g**2 - 10075*g + 30197. Let x(q) = -5*q**2 - 1679*q + 5031. Let j(c) = -3*t(c) + 17*x(c). Let j(s) = 0. Calculate s.\nAnswer: -844, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03805 + -0.06195. Which is the biggest value? (a) -0.4 (b) 36 (c) -3\/2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**5 + 3*u**4 - 3*u**3 - u**2 + 2*u - 2. Let n(b) = -b**5 + b**3 - b**2 + 1. Let v(o) = 2*n(o) + t(o). Factor v(w).\nAnswer: -w*(w - 2)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-31)\/2 + (-11)\/(-22). Calculate the remainder when 0 + 2\/q + 270\/33 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = 32. Let r = 46 + l. Calculate the greatest common factor of r and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -732009*a - 732010*a - 732015*a + 2196039*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:20 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 1 r when three letters picked without replacement from rvetz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7704)\/(-321))\/(0 - (-2)\/20). Solve -p = -4*j - 36*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p - 5. Let g be b(-3). Let h(c) = 3 + g*c - 2*c - c - 5. Let u be h(8). Solve -u*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*f = 825, 4*f + 198 - 750 = -2*y. Let i = 273 - y. Let j(d) = 2*d**2 - 3*d - 1. Determine j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and 0.082.\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*g - 139*g + 915*g.\nAnswer: 674*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1322*u - 115*u - 680*u in the form b*u + l and give b.\nAnswer: -2117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3652 divided by 19?\nAnswer: -3652\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49436444 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 0.773089332624.\nAnswer: -9.226910667376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 16424.166 to the nearest ten.\nAnswer: 16420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*h**2 - 17240*h + 631680.\nAnswer: 5*(h - 48)*(17*h - 2632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58479067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 55*d + 101. Let n be k(53). What is the third smallest value in -0.0949, -4\/7, n?\nAnswer: -0.0949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.001, 5, -3\/8, 1, 0.1?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/3))**(-5)\/(t\/(t*t**1))**33)**(-2\/7))**(-1\/2) assuming t is positive.\nAnswer: t**(109\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1b2b (base 13) to base 16\nAnswer: -ffd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5626 = -6218. Is 6 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -1 + -1 - 6) + -7 - (-26 - 21).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277264 (base 9) to base 2.\nAnswer: -101001010110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40, -45, -50, -55?\n\"Answer: -5*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*v, 2*v = 4*u + 13 + 9. Let c be (-2 + 2 + 3)*1. Solve c - v = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - u = 3*u - 26, 4*u - 8 = -4*y. Let r = -36 - -13. Sort r, 5, 1, y in descending order.\nAnswer: 5, 1, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -5*k + 39 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-9))**16)**(2\/7) assuming p is positive.\nAnswer: p**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5178.348 take away 2.666?\nAnswer: -5181.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 + 3 = 0. Let b be t\/(-15) - -3 - (-2)\/(-6). Solve 20 = v + b*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 4*c + 9*c. Let a(t) = -3*t + 3 + 0*t - 6*t**2 + 7*t - t. Let v(z) = -5*z**2 + 2*z + 2. Let h(g) = 2*a(g) - 3*v(g). What is h(o(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173764151?\nAnswer: 11, 97, 162853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/(l\/l**(-2\/9))))**(-20)\/(l**(-8\/3)*l**(-8)) assuming l is positive.\nAnswer: l**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2. Let b(n) be the second derivative of 61*n**4\/12 + n**2\/2 - 692*n. What is b(z(i))?\nAnswer: 549*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqqzzoqzqzdkkkz. Give prob of sequence dk.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2 plus -251.2?\nAnswer: -260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 36*a**2 - 166*a + 29. Calculate i(30).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -126518*f + 126606. Determine n(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31283, -62565, -93847, -125129, -156411?\nAnswer: -187693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + (37 - 4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 62\/3. Let f be (-16305)\/70 + -3 + 0. Let p = f + 1688\/7. Find the common denominator of p and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354556 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**0)**(7\/10)\/(a**7\/(a\/(a*a**(-4\/5)*a))))\/(a**8*a*a\/a**(-2\/5))**(-15\/7) assuming a is positive.\nAnswer: a**(577\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -78. Let t(z) = -4*z**2 + 57*z + 7. Let s be t(14). Suppose 16 = -s*f + 25*f. Solve 0 = -f*d - d + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5702152, -5702153, -5702154, -5702155?\nAnswer: -5702156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*n + 3297 - 1667 = 1670, -5*n + 50 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 2*b = 2*m - 70, -4*m - 4*b = -68 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48232745, -48232747, -48232749?\nAnswer: -48232751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140*j + 27 with respect to j.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y**2 - 37*y**2 - 6*y - 69*y**2 + 6*y.\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/60 - 558\/(-5). Suppose -4*k + 280 = -4*l + 9*l, 0 = -2*l - 4*k + b. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*c + 4030 = 23*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.01 or 3\/10?\nAnswer: -3.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -13\/3 (c) -2\/21 (d) -6\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.87 - -0.13. Let b = -10.2 + n. Let v = 4 + -2. What is the third biggest value in v, b, 1\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -2 - ((-2 - 0) + -12). Let h be n\/(-10)*(-20)\/3. Suppose -6*v - h*v = -210. Calculate the remainder when 103 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -2 + (-15431)\/(-6). Let j be 0\/4 + 2578 - (-7 - -2). Let t = v - j. Find the common denominator of t and 93\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84, 539, 1766, 4149, 8072, 13919, 22074?\n\"Answer: 64*r**3 + 2*r**2 + r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 222.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -12*q - 8. Let z be n(-1). Let o(x) = x**2 - 3*x - 5. Determine o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*y + 100 = 0, -2*c + 92 + 90 = y. Solve 39*f - c = 105 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 950*r**2 + 2. Let k(n) = 2*n**2. Calculate k(j(g)).\nAnswer: 1805000*g**4 + 7600*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/120 + w**5\/60 + w**4\/12 + w**3\/6 - 5*w**2. Let d be (-6)\/(-2) + (3 - 4). Determine k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-7))\/(48\/21 + -2). Suppose -y*q + 1160 = 3*q. Let x = q + -83. List the prime factors of x.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.5 (b) -24 (c) 1\/4 (d) -10609\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-34)\/18 - -2)*3854\/820 and -107\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27940 and 556380.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpedhhp. What is prob of picking 1 w and 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 4\/5*q**5 + 28 + 0*q**2 + 0*q**3 + 0*q**4 - 47*q. Differentiate k(u) with respect to u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2919 + 55486\/19. Calculate the common denominator of v and -26\/43.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -426 + -939490?\nAnswer: -939906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 12. Let n be (-1)\/4 - (2\/1)\/(-8). Let d be i(n). Solve -2*q + d = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 11. Let n = b - -7.3. Put -0.4, 3\/2, n in increasing order.\nAnswer: -0.4, n, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/975*(-1430)\/22.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 65. What is the closest to 1 in 22, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 + 3)*(8*o + 10*o + 7*o)*(-2 + 2 - 1)*(-3 + 14 - 1) in the form n + l*o and give l.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, m: 6}. What is prob of sequence wmww?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -16.154. Let i = y - 2.846. Let x = 112\/495 - 2\/45. Put x, i, -1 in decreasing order.\nAnswer: x, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1131 - -93. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l + 4 + 12*l - 22*l)*(-2*l**3 + 2*l**2 - 2*l**2).\nAnswer: 4*l**4 - 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryj. What is prob of sequence ry?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 = 2*p, -2*c + 5*p = 6 - 32. Let y(a) = -12*a**2 - 18*a - c*a + 21*a. Let t(j) = -j + j - 2*j. Determine y(t(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -510*d**2 - 119. Let a(y) = 17*y**2 + 4. Suppose -105*k = 55*k - 640. What is k*c(g) + 119*a(g)?\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -4.6.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1324 = 6*z - 74. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 11*m**2 - 12*m. Let f be u(-12). Solve 2*n = -5*l, f = -n - 5*l - 7 + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/3421 + 931\/3421. What is the common denominator of 49\/12 and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-2) - -4)*-2. Which is greater: n or 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.2 + -4.2. Let f = -809.56 - -799.5634. Let r = f + w. Round r to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 4*t - 28, 4*t - 69 = -89 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25693*r**2 + 125*r - 33. Is c(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 1407*m + 11257. What is o(8)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -2) + (61 + -5 - -6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**3 + 1 + 5*h**4 - 9*h**3 + 22*h - 2 - 2*h**2 - 21*h in the form p*h**2 + d*h**3 + g*h**4 + b*h + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5196324, 20785288, 46766894, 83141142, 129908032, 187067564, 254619738?\n\"Answer: 5196321*a**2 + a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k + 15*k + 24*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 23 - (-3)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491055157.\nAnswer: 37, 13271761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2295 - -4.14. What is h rounded to 3 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184712 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/17)\/(-146 - -143)*6\/(-4)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5488\/6174*(-27)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + 0.155.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*r = -47, -16*b = -12*b + r - 25. What is the remainder when 31 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-10)*(-105)\/(-112). Let q = 459\/8 - 235\/4. Let w = q - k. What is the third biggest value in 4, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (4 + (-11 - -9))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-80*o + 80*o - 21*o**3 + (-2 + 5 - 1)*(-o**3 + 6*o**3 - 3*o**3) - 11*o**3 - 5*o**3 + o**3) + o**3 - 3*o + 3*o.\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2213 + -15452\/7. What is the common denominator of 97\/66 and d?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 2*q**2 - 49*q - 68. Give v(6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/7)\/6)\/(12\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (-6*(sqrt(175) + -1) - -2*(sqrt(175) + 2*sqrt(175))) - (sqrt(175) + 2 + 3)*2*-5)**2.\nAnswer: 6000*sqrt(7) + 21100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333311212 (base 4) to base 10.\nAnswer: -785766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 16. Let l be k(-4). Solve 4*h + 20 = 0, 2*c - l*h + 6 = 34 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 1.1. Let i = u + -1. Let z = 4.5 - 4. What is the nearest to i in -0.3, 1, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(125) + (sqrt(125) - 6*(-1 + sqrt(125) - sqrt(125))) - (sqrt(125)*-1 + 5)) + -1)*6)**2*4*-4.\nAnswer: -653184 + 51840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 127?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 - 74. Suppose 0 = -8*x + 3*x + 90. What is the greatest common divisor of g and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 109, 166, 269, 424, 637, 914?\n\"Answer: t**3 + 17*t**2 - t + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toto when four letters picked without replacement from {o: 4, t: 15}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000614115 rounded to five dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/64 - (-2661)\/4. Find o, given that -641*o + 3*o**2 + o**2 - o**2 + i*o = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*g + 66, -g + 22 + 3 = 4*l. Let i = g - 12. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22506411 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2474326*k. Let d(j) = -6*j**2. Determine d(s(z)).\nAnswer: -36733734925656*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 5.17. Let u = 0.13 - t. Which is the smallest value? (a) u (b) -0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221\/1330 - -9\/266. Let p = -10\/9 + 31\/36. Which is the nearest to o? (a) 0 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 24*f + 518. Let k be y(-21). Solve 0 = -k*d + 12*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-10)*(15\/(-70))\/(-1). Let c be (-7)\/(-3) - 1\/3. Factor f*j**c + 0 + 9\/4*j.\nAnswer: 3*j*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 756.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2*k**7\/7 - 7*k**6\/3 - 2*k**3\/3 - 10*k - 39. What is the third derivative of p(n) wrt n?\nAnswer: 240*n**3 - 840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 - 4. Calculate k(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 222 in -147\/11, 3\/97, -2?\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*l + 26 = 2*a, -18 = -a - 3*l. What is the smallest common multiple of a and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 + 0 + 0)\/(2222\/(-11) + 204)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5111 is divided by 103?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -354384 divided by -88596\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 1862.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - 2*i**2 + 3*i - 2. Let a = -6 - -8. Calculate the remainder when 39 is divided by k(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.04284 - -6.619. Let o = p + -0.436. Let z = -0.14 + o. Round z to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 192*b**3 - 10*b**2 + 4*b + 9. Let h(l) = 48*l**3 - 2*l**2 + l + 2. Determine 9*h(g) - 2*s(g).\nAnswer: 48*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4385342*r + 97738*r**3 - 9842079*r**2 + 2919608*r + r**5 + 4011707*r**2 + 11859482 - 2599635*r - 2060938*r - 542*r**4 = 0?\nAnswer: -2, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -3, 18, 0, -2, 16 in increasing order.\nAnswer: -3, -2, 0, 16, 18, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*c + 14, 2*n + c = 7*n - 23. Suppose -5*m - 4*h + 1246 = -3*m, -3*m - n*h + 1863 = 0. Suppose 0 = -5*v + m - 92. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*j**4 + 1007*j + 195*j**4 - 1447*j**4 wrt j?\nAnswer: -14352*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550 (base 7) to base 13.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -296916000 rounded to the nearest one million?\nAnswer: -297000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) - (sqrt(7) - 3*sqrt(28))) + -4 + 0 + sqrt(637) + sqrt(637) + 2 + -1)**2.\nAnswer: -85*sqrt(13) + 94249\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -2*h + 6*b, 5*h + 57 = 113675*b - 113672*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 43*g + 123. What are the prime factors of o(-39)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 3*l + 5*n + 125, 0 = 7*l - 3*l - 2*n - 30 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-3\/5)\/x)*(x*x**(-5)\/x)\/x)\/((x\/(x*x\/(x*x\/x**(-6)*x))*x)\/x**3) assuming x is positive.\nAnswer: x**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*k**4 + 3*i*k**3 + 694*i*k**2 + 2*i*k - 2*k**5 + 114*k**3 wrt k?\nAnswer: 24*i*k + 18*i - 120*k**2 + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**3 + 4860948*z**2 - 311112960*z + 4977872896 = 0.\nAnswer: -1215301, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, and 1 b when three letters picked without replacement from oooooooooboottoobb?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**3 + 5*k**2 + 5. Let i(g) = 6*g**3 - 4*g**2 - 4. Calculate -3*a(t) - 4*i(t).\nAnswer: -3*t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 7*w + 4. Let y(v) = v**2 + 5*v + 11. Let i be y(-4). Let z be t(i). Solve -15 = z*d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 4*f**2 + 3108*f + 1 - 3138*f + 2*f**2 to n*f + r*f**3 + v*f**2 + s and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4679 + 4715. Calculate the lowest common multiple of (18\/4)\/(6\/8) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5)*q*q)**8\/(q*(q*q**(-1))\/q)**0)\/(q**(-2\/5)\/((q\/q**(2\/13))\/q))**(-2\/31) assuming q is positive.\nAnswer: q**(38656\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)*i**(2\/31))**(-48)*(i\/((i\/(i*i**(-2\/19)*i*i*i))\/i)*((i*i*i**8\/i*i*i)\/i*i)\/i*i)\/(((((i**(-3\/5)*i)\/i)\/i)\/i)\/i**(1\/5)) assuming i is positive.\nAnswer: i**(159024\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 581, 1, -7273 in decreasing order.\nAnswer: 581, 1, -7273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/(-4)*(-60)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223322 + -204301?\nAnswer: 14021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 127? (a) -2\/9 (b) 2.1 (c) -2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-3 - (54\/(-58) + -2)). Let y = g + 178. Solve u - y = 4*m, 2*m + 3*m = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**7\/280 - o**6\/30 + o**5\/8 - o**4\/4 + 3*o**3\/2 - 28*o. Let j(a) be the second derivative of z(a). Factor j(t).\nAnswer: 3*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17995 and 915?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*r + 18, -4*h = r - 66. What is the highest common factor of h and 1241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -16 - 0. Let f be a\/18 + 637\/9. Let o = f - 32. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**5\/30 + 3*o**4\/4 - 83*o**3\/18 + 23*o**2\/2 - 12*o - 4481. Find m such that z(m) = 0.\nAnswer: 1, 2, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -312*f**3 + 63 + 158*f**3 + 151*f**3 + 39 + 5*f wrt f?\nAnswer: -9*f**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Let z(t) = 4*t - 5*t + 10*t**i + 0*t. Calculate the remainder when z(1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1029, 1922, 2527, 2700, 2297?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118481400 and 1779000.\nAnswer: 592407000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*x**5 + 38213*x**3 - 133*x**2 + 20888?\nAnswer: 3420*x**2 + 229278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 966169021 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.7 + -17.1. Which is the biggest value? (a) -2 (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2891*p**3 - 2891*p**3 + 98*p**4 + (4*p**3 - 2*p**3 - 3*p**3)*(3*p - 4*p + 2*p).\nAnswer: 97*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273.56 - 273.49. What is the second smallest value in -0.1, 69, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3523.95807 take away 0.0239?\nAnswer: -3523.98197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 22*a - 1. Let h be y(2). Let m(u) = -2*u**3 + 5*u**2 - 3*u - 4. Let f be m(3). Let v = h - f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0936 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n**2 - 2*n**3 - 34*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81338\/499 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 20*g + 18. Solve -14 = g*w - 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -114 and 307.10025591.\nAnswer: 193.10025591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.54475 - -4.54475. Let g = -1 + 1. Which is the nearest to g? (a) 41 (b) k (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9734879\/524 + -18578. Let h = n - -1089\/1834. Let d = 22\/7 + h. Which is bigger: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 2856.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**13*a*a)\/a**(-2\/65))\/(a*a\/(a\/(a\/(a**(-34)\/a)))*a*a\/(a*a**35*a)*a) assuming a is positive.\nAnswer: a**(782\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.280133 centuries in millennia?\nAnswer: 0.2280133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2060*l**2 + 4879*l**2 - 2823*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 5:59 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25124076 + -14714076. Round m to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*q + 2, -37*r - 16 = -4*q - 38*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291 + -291. Solve r = 6*i + 18 - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894 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 14490 and 14956578?\nAnswer: 74782890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - -17. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 q when three letters picked without replacement from kqkqqqkqkqqqk.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5)\/(1 + (-36)\/44).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2235 + -1?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-2)\/(-2)*-2)\/(467\/1868)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-4))\/(-17)*2\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -411*b + 5528 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 3, -0.4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/96 and -71\/2136.\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*j + 17267 = -15811 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 271*x**2 + 133*x - 293. Let s be p(-135). Sort s, 5, 2 in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -145150441?\nAnswer: 145150442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f6 - 26?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1 + 0 + 0 + 7*i + 13. Give p(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1295 and 4144?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2838 and 12.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*k - 56*k**2 - 32*k + 11*k)*(2*k - 2*k + 2*k) + (0*k**2 - 3*k**2 + 6*k**2)*(k - 2 + 2) in the form a*k + y*k**2 + o*k**3 + z and give o.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**2 + 2*u + 6. Let n be ((-4)\/6)\/(180\/(-1080)). Let d(b) = 10*b**2 - 2*b - 7. Determine n*d(i) + 5*t(i).\nAnswer: -5*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(143) - 2*sqrt(143)*2)\/((4*(sqrt(66) + sqrt(66)*1))\/(5*sqrt(6)*-2)))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326168.\nAnswer: 2, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 8*l - 17*l + 2*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680288.\nAnswer: 2, 3, 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -887\/4 or -223?\nAnswer: -887\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 4*t**2 + 0*t - 1\/20*t**6 + 3\/70*t**7 - 1\/112*t**8 + 0*t**5 + 0*t**3 + 0*t**4 + 0. Factor i(g).\nAnswer: -3*g**3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293831?\nAnswer: 3, 7, 11, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21161, -21402, -21643, -21884?\n\"Answer: -241*m - 20920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 11*g - 456. Let h(l) = -l**2 + 6*l + 229. What is -4*d(r) - 7*h(r)?\nAnswer: 3*r**2 + 2*r + 221","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 14)*(7*z - 7*z - 9 - 2*z**2) - z + z - 2*z**2 + (0 + 0 - z)*(2 + z - 2) + z**2 + 2*z**2 - z**2 to the form w*z**2 + q*z + p and give p.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238 - 155. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22107 and 22233 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -467 - -471. Suppose -f + c*h + 107 = 0, 4*f - 4*h = 432 - 16. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49\/4 of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 29. Suppose g + h - 32 + 8 = 0, -24 = -g + h. Calculate the remainder when g is divided by i(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -9)\/(1 + 0 + -3). Let k(d) = -592*d + d**p + 592*d. Let w(f) = -9*f. Calculate w(k(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g + 228. What is z(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(847))**2 + 3 + 5 + ((3 + sqrt(847))**2 - sqrt(847)))*-2 + 3)*3.\nAnswer: -10263 - 198*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 10*g. Let p(t) = 165*t**2 + 0 - 158*t**2 + 0. Calculate p(o(k)).\nAnswer: 63*k**4 - 420*k**3 + 700*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0 - 1\/3*j**3 + 0*j - 1\/8*j**6 - 1\/6*j**4 + 1\/30*j**5 - 72*j**2. Find the second derivative of o(p) wrt p.\nAnswer: -90*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 4*u**2 - 4*u - 5. Suppose 13 = 4*y - 7. Let q be i(y). Suppose 3*t = 3*g + 9, q*t = -g + 5*t - 15. Sort -5, 3, g in descending order.\nAnswer: 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -294 - -299. Suppose 0*j + 80 = 4*j. What is the highest common divisor of m and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 24, 14, -14, -66?\n\"Answer: -k**3 + 9*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 521604081 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*g + 1, 10 = -2*x - g - 7. Let s(n) = 6*n**2 + 2. Let o(a) = a**3 + 31*a**2 + 8. Let j(c) = o(c) - 4*s(c). Give j(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -0.3, -1.2, -2 in descending order.\nAnswer: -0.04, -0.3, -1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256698.1 nanograms to kilograms.\nAnswer: 0.0000002566981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {h: 2, z: 4, v: 4}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 772694 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.7 + -15. What is p rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t + 3. Let n be (1*2\/4*-8)\/1. Let k be (0\/t)\/(n\/2). Solve -18 = -3*m - x, 4*m + k*x - 3*x - 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -4. Let o = 5 - z. Let g = -11 + o. What is the third smallest value in 2\/7, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -297*z. Let s(j) = 4*j. Calculate x(s(p)).\nAnswer: -1188*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = -60. What is the common denominator of (-63)\/(-2) + q\/(-3) and (148\/8)\/(84\/(-14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Suppose z*j + 8 = -2*f, -5*f + 5*j - 2 + 12 = 0. Let r be (296\/111)\/(4\/3). Solve f*m - 2 = -r*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from {p: 8, n: 5}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 513 + -447. Calculate the remainder when h is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 71. Solve -8*c = -5*c + j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/6, 4, -62, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 2\/51, -0.3, -3, -5, -12?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 329.7 - 330. Sort -65, 3, j in descending order.\nAnswer: 3, j, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w = -6*k + 23*w + 326, 14*k = 19*k - w - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393*a - 404*a - 11 = 0. Let q(n) = -n**3 + n**2 + 10*n + 1. Let z(o) = -o**2 - 1. Determine a*q(u) - z(u).\nAnswer: u**3 - 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d**2 - 24*d - 4859. Determine o(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1777 less than 1.24?\nAnswer: 1778.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f - 15. Let v be n(9). Let c = v - -365. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)*o)**(-24))**(-28)*((o*o**1\/o)**(-1\/60))**20 assuming o is positive.\nAnswer: o**(1439\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (94\/188)\/((-56)\/(-42)*(-1)\/4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-11 + (-8 - -11) - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/12*4\/(-1). Suppose 0 = -x*n - 5 + 49. Suppose -4*u = k - 614, -3*u = 2*k - 49 - 409. What is the highest common divisor of u and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 118, 62, -46, -224, -490, -862, -1358?\nAnswer: -1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9203546*z + 31 = 9203549*z + 20*q, -9 = 5*z + 3*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2186*p - 136. Let f(b) = b + 24. Give f(y(s)).\nAnswer: -2186*s - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*q - 13*d + 11*d, 0 = 4*q - d - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 85461*i - 512804. Calculate r(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - -413773?\nAnswer: 413753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, e: 1, c: 2, u: 2, s: 1}. What is prob of picking 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*m**2 - 183*m**2 + 90*m**2 + 136*m**4 + m wrt m.\nAnswer: 3264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.66 + 0.06. Let x = 0.3 - 2.3. Let a = h - x. Sort a, 5, -1 in descending order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 8*y + 2*y**2 + 12*y. Let b(c) = 2*c**2. What is p(b(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359 + -1373 - (-3 - (3 + -36))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/27*(5 - 95\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -1.91541.\nAnswer: -17.23869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*u + 95*u + 6 = -5*a, 91 = u - 46*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24601649 divided by -11?\nAnswer: -24601649\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -9, -0.5 in ascending order.\nAnswer: -9, -0.5, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, 1 c, and 1 r when four letters picked without replacement from jclkrcccokkccrcco.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 210498 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: List the prime factors of 22759040.\nAnswer: 2, 5, 43, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)\/y*y\/(y*y**(1\/8)) assuming y is positive.\nAnswer: y**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*s + 11*s**3 - 17*s**3 - s**2 + 0 to p*s**2 + n*s + l*s**3 + a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160 - 114. Let k be 7 + 1 - (-8)\/4. Suppose 2*n - 4 = -5*s + k, 4*n = -s + t. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 547346 by -1.\nAnswer: -547346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2844 divided by 36.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 579536 and 219824.\nAnswer: 6374896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 2\/5, 2\/9, -2, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17622 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.193277 - -693.36252.\nAnswer: 693.555797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1830 by -305.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29810, -38833, -47856, -56879, -65902, -74925?\n\"Answer: -9023*x - 20787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1093369 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -7 - -3) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 728*b + 68208.\nAnswer: -(b - 84)*(b + 812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkwo when four letters picked without replacement from {k: 3, a: 3, f: 1, z: 2, w: 1, o: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = -22 + 136 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 3, b: 12, h: 2}. What is prob of picking 1 y and 2 q?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-21)*(11 + -4). Sort -4, m, -3 in decreasing order.\nAnswer: -3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67623 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 6:23 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9979?\nAnswer: 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 15*q**2 - 1. Let s be a(0). Let x = -106\/221 - 1\/17. Is x at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2\/5 + 432*s - 58320 = 0.\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/(-450))\/8)\/((-15)\/(-18)*(-1)\/(-5))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**2 + 11*k**3 + 10*k**3 - 129*k**4 - 65*k**3 + 45*k**3 - 4178*k + 10461*k wrt k?\nAnswer: -1548*k**2 + 6*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(5\/(-125))\/(14\/35)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*s - 20*s**3 - 64*s**3 + 50*s**3 + 5*s**2 - 3*s**2 as q*s**2 + m*s**3 + i*s + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - 582812.\nAnswer: -582850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15452 - -15855. What is the remainder when b is divided by 110?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2218413439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1040\/19 - 2037\/38. Let x = 43135\/18 - 2398. What is the common denominator of x and y?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-66)\/((20\/16)\/((-110)\/(-176)))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 + 31.9. Let d = k - 21. Let v = -4.4 - d. Which is smaller: v or -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Let x = -551 - -555. Calculate the greatest common factor of j and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266622 or 266606?\nAnswer: 266606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2693 + 72668\/27. What is the common denominator of 2\/21 and z?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**(2\/23)))*v*v\/(v*v*v**6\/v))**(1\/44))**(31\/4) assuming v is positive.\nAnswer: v**(-1457\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66475, -268283, -604633, -1075525, -1680959, -2420935?\n\"Answer: -67271*h**2 + 5*h + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -2\/7*f**5 + 1 + 25\/21*f**6 + 0*f**2 - 8\/7*f**4 + 0*f - 8\/21*f**3. Factor w(i).\nAnswer: 2*i**2*(i - 1)*(5*i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2*z**2 - 14*z - 1. Let u = -127 + 120. What is the remainder when 40 is divided by a(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 11, 2, 0.3, 4, -2.57 in increasing order.\nAnswer: -2.57, 2\/15, 0.3, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 24 = 21 + 63. Sort -90, -6, -1, z in decreasing order.\nAnswer: z, -1, -6, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-4\/9)*f*f\/(f*f**22) assuming f is positive.\nAnswer: f**(-176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**4 + 0*j**4 - 6 + 19 - j**2 - 6*j - 15 - 4 to the form d + z*j**4 + g*j**3 + t*j + m*j**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 611896?\nAnswer: 611896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, -3\/8, 33, 2\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/8 + 53*k**2\/2 + 52*k. Let y(z) be the first derivative of c(z). Let a(w) = 7*w. Determine y(a(l)).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 - 146*z**2\/9 + 2486*z\/9 - 4114\/3.\nAnswer: 2*(z - 51)*(z - 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1764*-28)\/((-16)\/7)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 75 + 78 = 0. Let a(s) = -s**2. Let p = 1 - 0. Let t(d) = -4*d**3 + d**2 + d. Give p*t(k) + y*a(k).\nAnswer: -4*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/9, -5, 44, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 1259 = 1270. Suppose 5*z + 9 = -6. Put z, -1, 0, b in decreasing order.\nAnswer: b, 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -52*c**2 + 3474*c - 31929. What is z(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 16*s - 12. Let a be o(-4). Find the third derivative of 22872*b**4 - 33 + 179*b**5 - 22872*b**a - b**2 wrt b.\nAnswer: 10740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9333 is divided by 203?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16658\/9 + 1888. Which is bigger: i or 36?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*v = -2*v - 24, -r = 3*v + 16. Let n be ((-2)\/8*r)\/(-1). Let i(b) = -11*b + 1. Let a(d) = d. Let z(x) = -5*a(x) + i(x). What is z(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 6. Let m(w) = w**3 - 4*w**2 - 3*w - 5. Let g be m(t). Let j(a) = -a**2 + 6*a - 3. Let y be j(4). Solve -4*b + 3*b = 5*l + 3, g*l = -5*b + y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 14*c + 43. Let n = -42870 - -42864. Give q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(21\/2)*k**15\/k)\/(k\/((k*k**(-22)*k)\/k)*k**(3\/4)) assuming k is positive.\nAnswer: k**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-6)\/(-10 + -2) + (-105)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 1839*f + 18346. Determine c(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5063 and 348019.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 107*b**3 + 4*b**2 - 6*b + 8. Let c(a) = a**2 - 8*a - 12. Let t be c(10). Let z be j(t). Round z to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -517 + 515. Let k be 0\/((a - 0)*1). Determine j so that -5\/2*j + j**2 - 1\/10*j**3 + k = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3 + 1)\/(6\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**5 + 20229*m**4 + 239167*m**3 - 285549*m**2 + 26143*m = 0. Calculate m.\nAnswer: -2011, -13, 0, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/6916721 and -88\/21.\nAnswer: 20750163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10*n + 24. Let r be w(6). Let x = r + 40. Solve 2*k + 3*b - 10 = -2, -4*k + x*b - 24 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r + 56*r + 6876*r**3 + 9317*r**3 - 18*r.\nAnswer: 16193*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 99\/3*(1 - -2). Suppose x = 5*t + l, -2*t - 3*t + 101 = -l. Calculate the highest common factor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n + 30 = y, -4*n = -3*y + 35. Let s = y - -2. Let c(t) = 2*t + 1. Let m(v) = 5*v + 2. Determine s*c(o) - 3*m(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (33\/(-110))\/((-6)\/(-5)). Let t = -7 - -9. Let d = 1994 + -1994.2. Put t, d, j in descending order.\nAnswer: t, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-252)*(-21)\/49?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/61931 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.905 or -5\/2?\nAnswer: 7.905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:01 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = n, 0 = -2*v - 3*n - 0*n - 3. Let r(i) = 5 + 3*i + 2*i**v - 7 - 3*i**3. What is r(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10)*(16 - 21). Suppose -5*o - 2*f + 347 = l*f, o = 4*f + 55. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:39 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -28.5. Which is the nearest to 1\/4? (a) z (b) -1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b260 (base 12) in base 15?\nAnswer: 752c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 2}. Give prob of picking 1 v and 1 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -6) + 1 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.09 (b) 0 (c) 0.2 (d) -0.23 (e) 3 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.46066l in millilitres?\nAnswer: 92460.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 26 in decreasing order.\nAnswer: 26, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 6*o**2 + 3*o - 6. Let l be g(-5). Suppose -4*y + 3*y + l = 0. Suppose -121 = 3*f - y*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (77\/21)\/(2\/48). Let s = x - 89. Which is smaller: s or 2\/47?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5 + 218*x**4 + 10935*x**3 + 168622*x**2 + 374624*x - 554400 = 0?\nAnswer: -154, -36, -25, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-466)\/(-110) + -4 + (-10)\/50.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3123 + -6224\/34353. Which is the smallest value? (a) w (b) -295 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 3418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -273 + 249 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 7 - 2*h + 2*h)*(0*h**2 + 3*h**2 - 2*h**2)*(-1 - 78*h + 38*h + 30*h).\nAnswer: 10*h**4 + 71*h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(18\/(-891)). Let c = n - 17. What is the highest common factor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3568272 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1430 and 1464606.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/5)\/(5958\/(-32895) - 30\/(-170)). Solve -o*j - 209 = -37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/5)\/x**(-2\/25))\/(x**(2\/5)*x**11*x) assuming x is positive.\nAnswer: x**(-348\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3471 and 764777?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((9\/(-2))\/(-3)). Suppose y = -p*y + 20. What is the remainder when 6 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 12733717*j + 12733720*j + 12733716*j - 1 - 38201150*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 = 3*k, 3*k - 8*k - 19 = 2*b. Suppose 3*w - b*r = 12, -4*r + 38 = 10*w - 5*w. Calculate the smallest common multiple of 64 and w.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668080?\nAnswer: 2, 5, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2832\/(-1593))\/(4\/(-18)). Let d(h) be the second derivative of -3\/20*h**5 + 0 + o*h - 3\/2*h**3 + 3\/2*h**2 + 3\/4*h**4. Factor d(y).\nAnswer: -3*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -w - 104, r + 0*r + 4*w - 25 = 0. Suppose y - 339 = -3*m, 0 = 2*y + 5*m - 1126 + 449. Calculate the greatest common divisor of r and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -4, -3 in ascending order.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8)*(-14868)\/(-177). Let b(d) = d - 13. Determine b(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 67. Determine a(-36).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 2*f**4\/3 + f**2\/2 + 3*f. Find the first derivative of i(x) wrt x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Let l(m) = m**2 - 9*m + 12. Let x be l(11). Suppose -2*h - 5*j = -4 - 2, -3*h = -5*j - x. Let i = h + -6. Calculate n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810*t + 760*t = -305300. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggs when four letters picked without replacement from {e: 1, k: 4, g: 4, w: 3, o: 3, s: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a + 3 + a**2 - 6 + 4*a - 5*a**3 - 13 + 3*a**3 to s*a**3 + l + z*a**2 + x*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5838 is divided by 487?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369219 is divided by 1077.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80 - 18324?\nAnswer: -183a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2*-2)\/(14\/42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119266 + 320793. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) -24171 (c) -4 (d) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 9:03 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -69, -99, -125?\n\"Answer: 2*q**2 - 40*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624\/(-576) + 6\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3741*k - 3746*k + 2*a + 37 = 0, 0 = 23*k - 4*a - 191 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 729498469 a multiple of 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/43527 or 1?\nAnswer: -2\/43527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/744 and 133\/1116?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.12 + 13. Let w = -0.12 - t. Let k = w - -5.03. Which is the second smallest value? (a) -2 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from nnpepfepeerpnpuuu.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -7, -5, -15 in increasing order.\nAnswer: -113, -15, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 1. Let u be (-7)\/(-21) + g\/9. Is u smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9977.51 - -9936. Let h = 0.095 - -40.905. Let g = y + h. Which is smaller: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.03 - 0.03. Which is the nearest to -1? (a) 2 (b) p (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4525 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152985 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 22.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 2. Let i be z(0). Suppose 59 = 4*h + 59. Suppose 5*y - 10 = 0, -5*b + h*y = -5*y - 80. Solve -5*l - r = -0*l + b, 3*r + 15 = -i*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2))**14\/(v**(-4)*v*v**(-2\/7))*(v**(-6\/11)*v**(-11)*v)**(-46) assuming v is positive.\nAnswer: v**(40839\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*4*-3)\/(-6*sqrt(9)*-2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182*p - 20 = -1185*p + 5*r, 5*r = 2*p - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 16*z - 14. Let g be d(15). Let y(f) = -7*f + 16. Let r be y(3). Sort g, -3, r in ascending order.\nAnswer: r, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 + 1 + 3 - 5.\nAnswer: 19*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 59*x**2 + 865*x + 923.\nAnswer: -(x - 13)*(x + 1)*(x + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83214281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**2\/3 - 12548*p\/3 + 176456\/3 = 0.\nAnswer: -3151, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7 and 53\/6394.\nAnswer: 44758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w - 6*w + 2*w - 4)*(2*w**2 + 0*w**2 + w**2) to z*w**3 + h + i*w**2 + j*w and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 8) to base 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 8. Let v(f) = 2*f**2 - 79*f + 39. Let c be v(39). Calculate s(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11452913, 11452917, 11452921, 11452925, 11452929?\nAnswer: 11452933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:34 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p + 5. Suppose 0*g + 3*r = -5*g + 11, -g - 2*r - 2 = 0. Let l be s(g). Is 20 a factor of -50*(6\/l - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*g - 4*g + 195*g = 1836 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/3780 and -157\/8190?\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141329 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 5*l**4\/24 - 91*l**3\/6 + 18*l**2 + 43*l. Suppose h(d) = 0. Calculate d.\nAnswer: 2\/5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 * 1\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose -9*r = 217 - 1333. Suppose -5*g + 3*g + r = -3*w, 0 = c*w + 6. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 17 + 51. Let q be 41 - 16 - (-16)\/(-2). What is the highest common factor of q and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13640 - -19177. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150589726699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -69\/4, 4868, 2\/3, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.3. Which is the third biggest value? (a) 0.4 (b) t (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 91*f + 148. Let m(u) be the second derivative of u**5\/20 - u**3\/2 + u**2 - 2*u. What is the remainder when k(47) is divided by m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 2744\/(-12)*-69. Suppose -10*i + v = i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*k**4 + 2649*a*k**3 - 41*a + 82*k**4 - 10573*k**2 wrt k?\nAnswer: 24*a*k + 15894*a + 1968*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 2*s + 1300 = 0. Let t be 2\/60*5 + s\/12. Let k = 11 - t. Sort -2, k, -3 in decreasing order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*(-366)\/(-18))\/(-1 + 0). Suppose 0 = 52*j - k*j + 6822. List the prime factors of j.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3\/4, -2\/2463, -19.3 in descending order.\nAnswer: 5, 2, 3\/4, -2\/2463, -19.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (115*a + 1397 - 699 - 699)*(19*a**3 - 6*a**3 + 3*a**3) in the form z*a**4 + b*a**3 + w*a**2 + x + m*a and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -677 + 160. Let m = p - -1186. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*n - 163. Calculate the common denominator of n and 34\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -1494?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-2)\/(-8))\/(2\/4). Let q(v) = 15*v + 694. List the prime factors of q(t).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 642496503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 50924?\nAnswer: 101848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j = -3*j + 57 - 337 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:06 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-3)*(-5184)\/(-3024)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329898?\nAnswer: 2, 3, 54983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -59, -14, -1568, 1\/6, 6\/17, 0.5?\nAnswer: -1568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 6 (c) -6\/1691 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 3. Suppose 2*r + 0 = 3*h + 2, 5*h - 1 = -r. Let b be y(h). Is 21 + (-6)\/b - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.088 * -4\nAnswer: -0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -2\/7 (c) -45\/8 (d) -1\/24 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 281 - 709 = 0. Suppose -2*z + 60 = -2*i, -3*z + 90 = -0*z + 5*i. Calculate the greatest common factor of z and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 12*i - 34. Suppose -i*h - 378 = -16*h. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 34 - 43 = d, -12 = 4*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/(-4)*-86. Suppose -5*h + f = -h + 3*a, -18 = h - 5*a. Suppose -3*c - 136 = -h*c. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 1. Let g(p) = 14*p + 7 + p - 5*p. Let n(h) = -25*h + 261. Let d be n(11). Give d*i(q) - 2*g(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 329820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + -65006?\nAnswer: -64ecc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 21, 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 - 26 = 0. Let n(d) = 6*d**2 - 7*d**3 + d**3 - 1 + 5*d + 7*d**3. Calculate the remainder when n(-4) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 36. Let d be u(16). Let s = 26 - d. Suppose -260 + 92 = -3*o. What is the highest common divisor of s and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c + 10*c**2 - 43*c**2 - 14*c**2 + 21.\nAnswer: -47*c**2 - 11*c + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 166.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, w: 7, u: 4, v: 1}. What is prob of sequence rrrr?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:13 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 3*f + 0 + 0*f**2 - 1\/96*f**4 - 1\/1440*f**6 + 1\/240*f**5 + 1\/6*f**3. Let a(h) be the second derivative of s(h). Factor a(u).\nAnswer: -(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - i - 23 = -32, 5*t + 15 = -i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-30))\/(700\/2625)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -3392168\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 5. What is r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 5*z - 136 = -209, -17 = 3*i - 0*z + 2*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 372067 + 499118. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from megjeum. What is prob of picking 1 g and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 7:30 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 18*a + 21. Let w = 46 + -65. Let q be p(w). Suppose 178 = -q*v + 4*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 3 + 6 + -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x**2. Let v(o) = -o. Give v(c(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 15. Let b = 22 + -18. Suppose b*w - 4*h - 140 = 0, -3*w - 5*h = -0*h - 105. What is the remainder when w is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(66)*2 - sqrt(66))*-2)\/(2*sqrt(384) - sqrt(6)).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m**2 - 40742 + 40742.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) -1278576 (c) -0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/7 + 5673*i\/7 - 172830.\nAnswer: -3*(i - 1646)*(i - 245)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 - 992 - 123 = -11*u. What is the greatest common factor of u and 832?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4810 divided by -14?\nAnswer: -2405\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:13 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 3*w**2 + 5*w + 2. Suppose h = 2*h + 2. Let t be 2\/h - 22\/11. What is d(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10914423203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-2*sqrt(12)*-1).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.113 + -34.113. Which is the third smallest value? (a) 32 (b) t (c) 0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 7. Suppose -1 = 5*t + 9, -t + 10 = 2*y. What is the remainder when p is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 - 48*j**4 + 92*j**3 + 504*j**2 - 304*j - 1248 = 0. Calculate j.\nAnswer: -13, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 8*j + 2. Let l = -15 + 25. Let k = l + 1. What is the tens digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - -15.81. Let q = p - 16.41. Let u = q + 0.4. Round u to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.097 + 0.153. Let u = 0.85 - p. What is the fourth smallest value in -3, 2, -0.1, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 17*p**3 + 19 + 5*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -1, -75?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83171 + 148773. List the prime factors of b.\nAnswer: 2, 32801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -4\/9, 0 in descending order.\nAnswer: 0, -4\/9, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010567 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*g + 19 = 2*a, -3*g - 7 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 64. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.330273mm to centimeters.\nAnswer: 0.4330273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*k - 4 + 4 + 2 - 3 to the form a*k + w and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q + 16*q - 50*q + 95 + 84 + 17*q - 279 + 68.\nAnswer: 2*q - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5 - 6818*j**4 + 5807218*j**3 + 5854970*j**2 - 34884300*j = 0.\nAnswer: -3, 0, 2, 1705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9180?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 18 = 4*v, 4*v - 10*h = -8*h + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 0 - (23 - 26)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:27 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-10 + 4 - 0) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -407789678 and -407789677 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**3 + 7*s**2 - 7*s. Let k(a) = -a**3 - a**2 + a - 5. Let i(q) = 3. Let f(p) = -5*i(p) - 3*k(p). Give 5*f(d) - 2*v(d).\nAnswer: d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 w when four letters picked without replacement from wwrarxarxwwr?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2520\/72)\/(25\/10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 1. Let i(c) = -7*c - 21. Let x(m) = -i(m) + 6*o(m). Let k be x(0). Suppose -15*b - k = -20*b. Solve b + 0 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42 + -46 - (-2 + -6). Solve -2*w - 18 = r*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3896, 15849, 35860, 63929, 100056, 144241?\n\"Answer: 4029*r**2 - 134*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 805*f - 4828. Give m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.3, -4\/9, 23\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l - 2*l - 2*l - 2*l + 0*l + 0*l - 4*l + 3*l + 3*l + (3 + 1 - 3)*(l - 3 + 3) + 0*l - 2 - 6*l + 17.\nAnswer: -l + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 28*x + 60 = 0. Put 0.4, x, 2, 1\/3 in decreasing order.\nAnswer: 2, 0.4, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 2*q**6\/15 - 595*q**3\/3 + 3816*q**2 - 8243*q - 2. What is the first derivative of t(r) wrt r?\nAnswer: 16*r**3 - 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 267, 5\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**2\/2 + 1. Suppose 3*o - 17 = -4*v, -4*v = -5*o + 11 - 4. Let n(s) = 2*s + 3*s - v*s. Determine n(f(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 204082 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 103*r**3\/4 + 1781*r**2\/2 - 10905*r + 18450.\nAnswer: (r - 41)*(r - 30)**2*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1078358*k**6*o - 50*k**2*o + 185*k + 30 wrt k?\nAnswer: 129402960*k**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.1, 39, 3, -2\/7, -1\/8551, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 257900946 divided by -1?\nAnswer: -257900946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 34*p - 1281. What is d(38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 18. Let s be (-7 + 5)\/(-1*c + 0). Let v be s + -4 + 2 + 27\/9. Solve -u = -v*u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = 4*o - 17, -4*o = 4*h - 52. Let v = 12 - o. Suppose 200 = 4*r - y + 2*y, -3*r - v*y = -163. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 + i**3 + 16 - 13*i + 5*i**2 - 9*i**2. Let t be g(12). Suppose -5*o + 6*o + l = 34, t = l. What is the greatest common factor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 6128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:10 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 11 + 1)*(2 - 2 - 2*u)*(0 + 3 - 1).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300891 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) + (-78)\/(-10). Let j = q - 6. Let a(w) = w**2 + 234*w - 707. Let i be a(3). Solve 5*z - 3*n = 29, i*n = j*z - 22 + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -73. Suppose k + 9 = -2*b - j, 2*k = -5*b - 27. What is the closest to 0.1 in 0.5, k, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-18))\/2 + 17 + (-3457500)\/197100?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 4*s**2 + 4*s + 1. Let l(q) = 4*q**3 + 9*q**2 - 9*q - 1. Calculate -9*k(f) - 4*l(f).\nAnswer: 2*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -155*g + 135*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 4*w + 2. Let t(d) = d**2 - 3*d + 1. Let n(k) = -5*o(k) + 4*t(k). Give n(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.280704462 rounded to four dps?\nAnswer: 1.2807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than 42879?\nAnswer: 42879.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 6.4\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 827 - 821. Solve 12 = -2*h + l*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 19*k**2. Let w(i) = -28*i**2. Let p(z) = -7*g(z) - 5*w(z). Suppose 3*q = 4*q + 2*b - 1, -5*b = -4*q - 9. What is p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5847 and 5848 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746 + 746 - 9*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130854351623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 7753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**14)\/j)\/j*j*j*j\/(j**(-4\/3)\/j)*j*j*j*j*j)\/((j**(-2\/5)*j)\/j**(-3\/14)) assuming j is positive.\nAnswer: j**(4939\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v. Let c(r) = -14*r**2 - 9*r + 3. Calculate k(c(a)).\nAnswer: 112*a**2 + 72*a - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.77348ns in seconds?\nAnswer: 0.00000007177348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 114*l + 5696.\nAnswer: -2*(l - 89)*(l + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 - 1)) + 1 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*p + 20, 0 = -4*p - 0*p + 4*q + 16. Let a(y) = 4*y + 8. Let u be a(-7). Let g = u - -37. Solve g + p = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3 - 285*x**2 + 306*x + 1728 = 0.\nAnswer: -96, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -6*l + 576. Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2129671, 2129672, 2129673, 2129674?\n\"Answer: o + 2129670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/168828 and -47\/323004.\nAnswer: 413122116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -103.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009019 to five decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1581, 1249, 917, 585, 253, -79?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*a = 110, 4*v - 202 = 2*v + 5*a. Suppose -276 = -4*f - b, v = f + 2*b + 37. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29.366? (a) -2\/11 (b) 0.18 (c) -23 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166 and 25066.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779300.\nAnswer: 2, 5, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479354078.\nAnswer: 2, 1239677039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svfvfvnfvnfvvsfvn. Give prob of sequence fsvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 117*a**2 + 63*a + 1697. Determine r(-58).\nAnswer: 1407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1628442 - -23?\nAnswer: -1628419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.053316 and -6.\nAnswer: -0.319896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*s - 22 = 0, -4*u - 5*s - 35 = -3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b - 8, 2*b - 112 = -u. Let j = -72 + u. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 13. Let n = 13 + -11. What is the remainder when b is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 9*n - 2. Let f be m(9). Let d = f - -3. Let w = 18 - 5. Solve w - d = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 + 6*v + 3. Suppose 6*y + 41 = 3*h + 2*y, -4*y = 4*h - 8. Determine j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174413679.\nAnswer: 3, 11, 5285263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 486 = 14*s. What is the smallest common multiple of 45 and (28\/42)\/(6\/s)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*n - 178*n - 79*n - 567*n to b*n + s and give b.\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15739 + -15744. What is the closest to -2 in -6, 10, -1\/6, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(-22*z - z + 4*z)*(0 - 1 + 0).\nAnswer: -57*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18729 + -16534. What is r rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/22*110\/(-260)*-13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.27156465 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -50.7?\nAnswer: -659.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5)\/(-2 + 1). Suppose 0 = -7*x + 13*x - 6. Solve -14 = n*d + x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {k: 1, f: 6, v: 11}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:47 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjoaoaaaaajojo. What is prob of picking 2 j and 1 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + x = -10, x + 6 = -0*z + z. Solve -z*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k + 9\/40*k**5 + 1\/80*k**6 + 0 - 17*k**2 + 3*k**3 + 5\/4*k**4. Factor a(w).\nAnswer: 3*(w + 1)*(w + 2)*(w + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 + -114. Suppose 0 = a*c + 5*p, 4*p = 4*c - c. Suppose n + 94 = 2*i + i, c = 3*i - 5*n - 86. Calculate the highest common factor of 128 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2400580 by 28.\nAnswer: -85735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z = 2389 + 13655. Which is smaller: z or -579?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151009177 + 0.07\nAnswer: 151009177.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 50 = -3*w. Let o(k) = 11*k**2 - 2*k. Calculate the remainder when o(-2) is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 9:50 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1011*b**2 - 121*b**3 - 11 + 1011*b**2.\nAnswer: -121*b**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1353083330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(16\/1278*-3))\/(7\/1988).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241278, -482602, -723926, -965250?\nAnswer: -1206574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*k**2\/6 - 5*k\/3 - 1\/6.\nAnswer: (k - 1)*(11*k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 2*b + 2 - 4, -4*q - 3 = -3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -21*h**2 + 3*h - 3. Let l be u(-5). Let t = -330 - l. Suppose -q = 4*r - 284, -r + q + t = 2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(1375) - 4*(sqrt(55) - sqrt(165)\/sqrt(3)))\/(sqrt(45)\/(sqrt(54)\/sqrt(6)*1)))**2.\nAnswer: 100*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 28*t - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0.5, 4\/3, 4, 0.1 in descending order.\nAnswer: 32, 4, 4\/3, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faf when three letters picked without replacement from afffkgb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/7 and 57\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from xxxxoxxoooxoxqxxxx?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1 + m - m - 4*m - 7. Let o be d(-5). Let l(j) = -j + 17. Let i be l(o). Solve i*n = -2*a - 23, -n - 26 = 4*n - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyllk. What is prob of sequence lky?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3\/(p**(-4)*p**(-1))*(p*p**(1\/6)*p)\/(p\/(p\/p**(2\/11)*p*p*p))*p*p\/p**4*p**(-5)*p assuming p is positive.\nAnswer: p**(461\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round 6562.6 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(2*y + 0*y - 4*y) + 0*y + 0*y + y + y + 2*y - 5*y + 570 - 564 + 2*y - 9*y to m*y + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124249397?\nAnswer: 124249397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1437 (base 13) to base 11.\nAnswer: 1a7264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 + 6519009*x = 0.\nAnswer: 0, 2173003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -3*r**5\/70 + 31*r**4\/42 - 32*r**3\/21 - 36*r**2\/7 + 796*r - 1. Factor q(a).\nAnswer: -2*(a - 9)*(a - 2)*(3*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20587146 to the nearest integer?\nAnswer: 4537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385882302 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + w**2 + 21 + 3*w**2 + 2*w**3 - 5*w - w**4 - 58 in the form z*w + x*w**2 + c*w**4 + j + n*w**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1461053853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r = 42*r - 3*n - 18, 15 = 3*r - 3*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3 - p + (-p - 3 + 3)*(-2 + 5 - 1))*(-3 + 3 - 3)*(-3 - 2 - 5)*(-1 + 14 - 3).\nAnswer: -900*p + 300","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -29. Let y = s + -35. Suppose 5*z + 0*f + 2*f = -1148, -y*f - 458 = 2*z. Round z to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 f when three letters picked without replacement from {f: 1, g: 8, e: 11}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*j**3*v**2 - 25*j**2*v**2 + 25*j + 18126*v**2 wrt j?\nAnswer: 210*j**2*v**2 - 50*j*v**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2136 by 267.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 30*c**2 + 0 - 1 - c + 4*c**2. Let b be t(-1). Suppose v + 8 - 25 = 0. What is the highest common divisor of b and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168139 times -11.6\nAnswer: -1950412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26268375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/8)\/((-2350)\/(-376)*1\/5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1347081, -2694157, -4041233, -5388309?\n\"Answer: -1347076*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34455 (base 6) to base 2\nAnswer: 1001101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 4*l**2 + l**2)*(-2*l**3 + 0*l**3 + 3*l**3) + (-2 + 2 - 2*l**3)*(-1 - 5*l**2 + 1) - 6*l**5 + 6*l**5 - l**5 + 2*l**3 - 2*l**3 - 2*l**5.\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(425))**2 + 0.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17449, -17564, -17871, -18466, -19445, -20904, -22939, -25646?\nAnswer: -29121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 123*r + 1803. Determine o(-74).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -21. Let z be (4 - 1)*(5 - 0)\/5. Solve -z*g - a = -7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)\/m)**(-40)\/(m**(-1\/3))**(-17))**(-28\/5) assuming m is positive.\nAnswer: m**(-4564\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 21*o + 350 - 64 = 0 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -2 - (1387 + -1411)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.818 + 0.518. Let m = -79 - -70.3. Let b = a + m. Which is greater: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*g = 30, 10*h - 5*h - 4*g - 26 = 0. Suppose 2*x = -5*u + 554, -4*x = -5*x - h*u + 279. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046817 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 12:00 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5843, 11598, 17353, 23108, 28863, 34618?\nAnswer: 40373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-10\/11)*(i*i**(-24)*i)\/i)\/((i\/i**22*i)\/(i\/(i**29*i*i*i))))**(2\/65) assuming i is positive.\nAnswer: i**(-746\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218712362 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) + (-1 - 3172\/(-28)). Let n = j - 27. Let c be ((-1)\/2)\/((-2)\/68). Calculate the highest common divisor of n and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 20946.972775.\nAnswer: 20951.972775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 83*q + 2715. What are the prime factors of a(-71)?\nAnswer: 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**4\/24 + 3*h**3 - 2972*h**2. Give c(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1014693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68, 56, 44, 32, 20, 8?\n\"Answer: -12*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 84 = -2*g, 3*g - 43 = -4*o + 66. Suppose -14*r = 3 + g. Suppose -3*i - 4 = t, 0 = i + 3*i + 4*t. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h**2 - 4 - 1 + 5*h**3 - 3*h - 1 - 2*h**3 = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 113292816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 350 + -346. Solve -p + 6*p + 3*z - 12 = 0, -n*p = z - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-924 + 2 - 1124)*(2*p**2 + p**2 - 5*p**2)*(-2*p + 5*p - 4*p) to the form k*p**3 + a + g*p**2 + h*p and give k.\nAnswer: -4092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 72395.56ns in milliseconds?\nAnswer: 0.07239556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 5*j**2 + 9*j - 8. What is the tens digit of h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 8*k**3 + 5 - 5*k**2 - k + 2 - 6 in the form o*k + q*k**2 + x*k**3 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 836 divided by -1\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -185, -397, -703, -1109?\nAnswer: -1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323020 (base 5) in base 3?\nAnswer: 2010222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2\/9, -0.5, -1, 5\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1914*k - 435*k**2 + 1914*k to b + a*k**2 + n*k and give a.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1048*u**2 - 496*u**2 - 34624 + 34624.\nAnswer: -1544*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 14434, -62, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -359 - -5d3?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -920*z - 3603. Calculate the remainder when x(-9) is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, 21\/5, 202.\nAnswer: 1\/3, 3, 21\/5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2535042 - 0.5.\nAnswer: -2535042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -113740.\nAnswer: -113737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2359588765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1\/10, 0, 0.3, -0.69?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j**0*j)))\/j*j)\/(j*j*j**(-2\/5)*j)*(j\/(j**(-4)*j))**(24\/7))**(9\/7) assuming j is positive.\nAnswer: j**(4131\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 143*h - 646. Calculate j(-3).\nAnswer: -1075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -209 or -4788\/23?\nAnswer: -4788\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994751\/22 + ((-56)\/(-16) - (7 - 4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 4 (b) -0.03 (c) 117 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33823 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.021 + -4.021. Which is the fourth smallest value? (a) -28 (b) -2 (c) 0 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:26 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**5\/60 - g**4\/6 + g**3 + 15*g**2\/2 - 28. Let h(j) be the second derivative of x(j). Calculate h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*n - 52, 0 = -m - 0 - 4. Let t = -27 + n. Suppose 0 - 2 = 2*w. Which is the closest to 0? (a) -3 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*d**3\/4 + 1094*d**2 + 81*d.\nAnswer: d*(d + 162)*(27*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = 5*h, -q = -5*h - 9 + 35. Let m = h - 1. Which is the nearest to 0.2? (a) 0.3 (b) -4\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 11, d: 1, z: 1, u: 3}. Give prob of sequence fdu.\nAnswer: 11\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**4 + 3. Let d(k) = -17*k**4 + 6. Suppose 0 = 3*f - 2*m + 33, m + 29 = 2*f - 4*f. Let q(i) = f*g(i) + 6*d(i). Differentiate q(t) wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 5 (b) 4 (c) -3 (d) 1509 (e) -9\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)*t\/(t*(t**(3\/8)*t)\/t)*t)**(-2\/77)\/(((t*t**(-1\/5)*t)\/t)\/((t*(((t*t*t*(t\/t**(-1\/4))\/t*t)\/t)\/t*t)\/t)\/t)*t\/t**4*t**1*t) assuming t is positive.\nAnswer: t**(19697\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*p**2 + 20*p - 50*p + 30*p as c + w*p**2 + m*p and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -46. Calculate the remainder when 4\/14 - 4150\/(-175) is divided by ((-2)\/(-6))\/((-2)\/r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27856a (base 11) to base 2.\nAnswer: 1101010011011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017101592 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 76 = -2*t, 3*t - 114 = 3*f + 2*f. Suppose -l + t = l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/36 and 41\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 38066*u - 2017498. What is w(53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1015600\nAnswer: -1\/507800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284671 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11.25, 3.3, -4, 4, 9.6?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 7, 171, 443?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36177.\nAnswer: 3, 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474247791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 6981, -80, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -71, -104, -137, -170?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 75 = -4*m, -3*m = 2*n - 3*n - 40. Does 34 divide 4 + -1 + m\/((-90)\/(-1596))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161010 - -16501. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1149.\nAnswer: 1\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -52. Suppose -j - 3 = y - l, -3 = -y. Is -2\/105 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184270 is divided by 26285?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 54, 29, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 1\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 2*a + 65. Let g(t) = 3*t + 4 - t**2 + 6*t - 4*t. What is g(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45942129 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 2*z**2 + 3*z**2 + (940*z - 938*z + 128 + 51)*(z + 2*z - 5*z) to y*z**2 + d*z + n and give d.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171770 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*k - 918 = -k, 0 = -4*i - k + 926. Suppose 0*f = 3*f - i. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 60.2. Let d = -88 + 82.92. Let m = d - -0.08. What is the second biggest value in m, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189260343*o**3 + 25914*o - 906 wrt o?\nAnswer: -1135562058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 33*c - 7. Calculate the remainder when 236 is divided by j(-30).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8124\/7 + -16227\/14. Let d*t**2 - 6 + 9\/2*t = 0. What is t?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*b - 221*b = 740. Suppose b = 2*t + 3*g, 2*t - 56 = -2*g + 16. Solve -22 + t = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 228 = d, -5*d + 0*d + h = -1260. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31523 (base 7) to base 3.\nAnswer: -101201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 54 = -66. Let g = 55 + -53. Solve 4*m + 3 = 5*v - g, -4*m - 8 = -o*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4289043 by 24.\nAnswer: -1429681\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.670046km to meters.\nAnswer: 670.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 2 - a**2 - 1 + 4 + 1. Let m be s(-1). Solve 5*y + 0*y - 10 = m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 16, t: 2}. What is prob of sequence ttbt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 + 35 = -2*n. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.131 millennia in decades?\nAnswer: 39613.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 134 - (15 - 35).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -573, -863, -1151, -1437, -1721, -2003?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13908, -27924, -41946, -55968, -69984?\n\"Answer: q**3 - 9*q**2 - 13996*q + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from dztttzz.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*o + 245 = -113*o. Let y(l) be the second derivative of o*l + 0*l**3 + 0 + 0*l**2 - 1\/50*l**5 + 1\/150*l**6 + 0*l**4. Let y(z) = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = -3*x. Let l = -8 - x. Is -2 - l*10\/2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 24155, -21\/8, -5\/3.\nAnswer: -21\/8, -5\/3, 4, 5, 24155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r + 0*r - 3*r - r - 4*r + 3*r + (1051 - 24*r - 1051)*(-2 + 3 - 2).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b. Let q(c) = -347 + 347 + 7*c**2. Calculate v(q(r)).\nAnswer: -119*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 384 and -205738.\nAnswer: -79003392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 228 + 48 = -15*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 4*t**4 + 2*t**2 + (181*t**3 - 107*t**3 - 123*t**3)*(-5*t + t + 2*t).\nAnswer: 102*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -824*p**2 - 4944*p - 2472. Let n(o) = o**2 + 8*o + 4. Let u(g) = l(g) + 618*n(g). Let y(t) = -14*t. Determine u(y(k)).\nAnswer: -40376*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 54535.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-28)*(-10)\/30. Let r = 26.97 + -21.97. Sort r, 1\/4, m in decreasing order.\nAnswer: r, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 305*g**2 - g + g - 2 - 140*g**2 - 79*g**2 to the form h + u*g + b*g**2 and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -35 - (42 - 33) - -9 - -4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1)\/(-1) - 6. Suppose 0 = -2*d - 5*b - 25, -3*b = -5*d - 20 - 27. Let k = f - d. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.557817 micrometers?\nAnswer: 8557.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -411, 1, -44 in descending order.\nAnswer: 4, 1, -2, -44, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15780471 and 13526118?\nAnswer: 94682826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**3 + 14*l**2 + l - 3. Let r(d) = -25*d**3 + 55*d**2 + 3*d - 11. Let j be (-44)\/(-6)*(-12)\/(12\/3). Let i(c) = j*t(c) + 6*r(c). Factor i(x).\nAnswer: -2*x*(x - 1)*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 15*v**3 + 2*v**2 - 2*v + 1. Let i(t) = t - 16. Let j be i(9). Let c = -6 - j. Does 7 divide b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42089447.2 rounded to the nearest 1000?\nAnswer: 42089000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7140767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (272\/28)\/4 + (-12)\/28. Suppose -3*d + 5 = u + b*d, -u = -5*d + 5. Solve 0 = -r - 2*n + 5, u = 2*r + 2*r + n - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - c**2 + 48*c**2 - 4*c + 2. Let g = -7 + 10. Is t(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.347 times -0.11?\nAnswer: 0.03817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -56.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 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: Round 5718 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.9375 micrograms in grams?\nAnswer: 0.0004989375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/1862 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (77\/(-21))\/(1\/(-6)). Suppose 2*u - h = -4. What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 (base 7) in base 11?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1919*f*h**2 + 71639*f*h - 460903*h**2 + 460*h wrt f.\nAnswer: 1919*h**2 + 71639*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -24. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18519 (b) 3\/4 (c) 0.161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 249?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1613 - 1611. Solve -4*s = 4*m + 8, -5*s + m = -q*m - 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/95 - -15851\/190. Let f = 81 - z. What is the nearest to f in 2\/7, -0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) - (-6)\/(-8). Suppose 1603 = -w + 1605. What is the third biggest value in c, 5, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31, 18, 29, -1, 0 in descending order.\nAnswer: 31, 29, 18, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11087, 11086, 11085, 11084?\n\"Answer: -u + 11088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -170, -14, 0.3, -1, -4, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.091 - -0.009. Put -4\/5, p, -1.1 in decreasing order.\nAnswer: p, -4\/5, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(-66)\/(-3861) + (-13158)\/(-13). What is the highest common factor of h and 1196?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2252 and 8?\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139289*w**4 + 57634 wrt w?\nAnswer: -557156*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 12, t: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2063 is divided by 677.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - 4. What is the biggest value in 0.1, 0, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1080)\/(-1890))\/(4\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1070722*w**3 + 1070716*w**3 + w + 1070694*w**3 - w - 3212157*w**3.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -22*z**2 - 770*z + 13. Let d be c(-35). What is the greatest common factor of 5629 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -12 + 20 - 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1315 and -8.99692934.\nAnswer: -8.86542934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9*10\/120)\/((-3)\/1). Let x = 6.6 + -6. Which is the closest to w? (a) -4 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910080.9 milligrams in tonnes?\nAnswer: 0.0009100809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - i - 54 + 234 + 310 + 163 = 107, 5*i = 0 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 23*v**2 + 14*v - 163. Determine d(-22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*v - 4 - 21 = 0, -2*v = -4*j + 10. Suppose -5*m = -j*m. Let i = -196 - -196. Solve -r + i*r - 5 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 571 = -606*t + 531*t. Suppose b = p - 144, -262 = -4*p + 3*b + 310. Let w = 196 - p. Calculate the greatest common divisor of w and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1455 - -2156?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 71*g**6\/60 + 18*g**5\/5 + 260*g**2. Find the third derivative of q(l) wrt l.\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**6\/720 - 7*t**4\/12 + 21*t. Let i(a) be the third derivative of z(a). Let y(h) = -4*h**2. What is i(y(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 116 (c) -0.03 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Let b(n) = 4*n - n**2 + 0*n + 2*n**2 + t. Calculate the least common multiple of 7 and b(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*f*w**2 + 124*f*w - 2*f + 4*w**4 wrt w?\nAnswer: -48*f + 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Suppose 8 = 4*d, x - d = -a*x - 57. Let v = 15 + x. What is the third smallest value in -1, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8965804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Let y be (4\/8)\/(75\/20). Let i(n) = n**2 - 2*n - 33. Let p be i(7). What is the second biggest value in p, o, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70, -135, -216, -313, -426, -555?\n\"Answer: -8*w**2 - 41*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167\/2 + 85. What is s in 3\/2*s**2 + h - 3*s = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.107 (b) 0 (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 14*u - 16*u. Suppose u*w = 5*p - 264, p - 4 - 59 = -3*w. Let c = p + -51. Sort 0.2, 4, -0.4, c.\nAnswer: -0.4, 0.2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**5 + 7*b**3 + 5*b**2 + 7*b. Let a(k) = 10*k**5 - 6*k**3 - 4*k**2 - 6*k. Let m(x) = 7*a(x) + 6*d(x). What is the third derivative of m(p) wrt p?\nAnswer: 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 304 + -2136\/7. Suppose -4*w + w = 0. Which is bigger: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y, -1 = -q + 2*q + 5*y. Let a = -2 - q. Let j(l) = l**2 - 5*l + 2. Let c be j(6). Solve a*b + c + 4 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 790534920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431331 - 2?\nAnswer: 431324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 70*v - 83. What is l(29)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 1, -5, -8\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 353380 - 353376. Suppose 3\/7*p**3 + 12\/7*p**2 - 3\/7*p**b + 0 - 12\/7*p = 0. Calculate p.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*u + b - 19, -3*u - b + 26 = 0. Solve 5*d - u - 2 = -m, d = -3*m - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/8)\/(-7))\/(1\/6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1462 - -1.8538. Which is the second smallest value? (a) -5 (b) 9 (c) 1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68.61 + 68. Let f = b - -0.51. Which is smaller: 3.3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/19? (a) -4 (b) 93 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(3))*6.\nAnswer: -18*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*z + 14 = -b, 0 = 4*b - 2*z - 12. Suppose -b*v + 6*v = 392. What are the prime factors of 27\/36 + v\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**3 - 41*o**3 - 15*o**3 + 42*o**3 - 85*o**3.\nAnswer: -125*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*k + 12258 + 2274 = 231*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, -0.4, 1, -32.6, 5 in descending order.\nAnswer: 174, 5, 1, -0.4, -32.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40606 - 284197\/7. What is the closest to -2\/5 in 2\/3, q, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 52 - 48. Suppose -4*c + 5 = -15. Suppose c*j = -4*l + 75, l - 90 = -2*l + 3*j. What is the greatest common divisor of l and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d - 2)*(d + 4 - 4)*(32*d - 66*d + 6*d).\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7223\/14438 + -2\/7219. Let m = 4.399 + 0.001. Let q = m + -4. Which is the fourth biggest value? (a) 1 (b) q (c) -1\/4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1440 divided by 2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + (-4 - -6) + 0 + -3 + -12 + 4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7*h\/(h\/(h*h**(-2\/3)*h))*(h**(2\/7))**(-9)*(h**(-1\/11)*h\/(h*h\/(h*h*h**7)*h)*h*h)\/((h*h*(h**7*h)\/h)\/h**(-3\/8)) assuming h is positive.\nAnswer: h**(9787\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 10:31 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13352711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 62*m**2 + 241*m - 5668. Calculate r(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 4\/11, -1\/3 in decreasing order.\nAnswer: 4, 4\/11, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*m**4 - 10*m**4 + 7*m**4 - 5*m**4 + 0*m**4 + 4*m**4 + (-3*m**2 - m**2 + 2*m**2)*(0 + 2*m**2 + 0).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9892, 19787, 29686, 39583, 49472, 59347?\n\"Answer: -r**3 + 8*r**2 + 9878*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-5)*z*z*z\/(z\/(z*z**(-3)\/z*z))*z*(z**0*z)\/(((z\/z**(-1))\/z)\/z*z)*(z**(2\/7)*z*z**4)\/(z**(-3)*z**(-2\/3)) assuming z is positive.\nAnswer: z**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -661\/3 - -216. What is the common denominator of k and 7\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -23. Calculate the greatest common factor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (55\/22)\/((-3)\/(-6)). Suppose -2*b - 3*b = -187499925. Suppose -7500015 = -i + 3*t, -3*t = a*i - 0*t - b. What is i rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (0 - 428\/10). Let s = c + -41. Suppose 5*b + a = -a - 8, -3*a - 12 = -2*b. Are s and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w + 105. Let v be o(-27). Which is greater: v or 265?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90772 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351003 is divided by 60?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1375 and 173525?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 89 (b) 4 (c) -2\/7 (d) 1\/11 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1201*m - 1199*m + 10 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24445 (base 6) to base 11\nAnswer: -27aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 37. What is the remainder when (a\/2)\/5*-78 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(60\/(-12))\/(-15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5903785\/72 + -81999. Find the common denominator of c and -23\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5895 + 5889.4949. Let j = -5.5 - f. What is j rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1652497)\/(-10527) - 157)\/(0 - -1)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 10*v - 5*v - 4*m, -21 = -5*v - 3*m for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -8. Solve -8*f - z = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*c - 6*c - 11*c)*(6 - 6 - 12) + 7*c + 2*c - 4*c)*(0*c - 2 + 3 + c) to the form y*c**2 + a + g*c and give y.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290128484.\nAnswer: 2, 72532121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341 - 18. List the prime factors of x.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 2*i**3 - 2*i**3 + (-i**2 - 2*i**2 + 2*i**2)*(-9 + 16*i - 11 + 27) to the form a + n*i**2 + w*i**3 + c*i and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0 (base 16) to base 4.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t. Let n(k) = 792*k + 42. Let j(v) = 184009*v + 9756. Let c(m) = 7*j(m) - 1626*n(m). Give s(c(p)).\nAnswer: -813*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -49*i**5 + 2*i**3\/3 - 5*i**2\/2 - 8011*i - 3642. What is the first derivative of z(a) wrt a?\nAnswer: -980*a**3 + 4*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 1, d: 9, e: 2}. Give prob of picking 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 5*v, -4*v - 3*u - 6 = -5*u. Suppose v*w - 4*w = -16. Let x be 1\/(-4) + 77\/20. Are w and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 33252*a - 68322760.\nAnswer: 4*(a - 1705)*(a + 10018)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y. Suppose 5*g - 10 - 10 = y. What is the remainder when (-81)\/(0 + (-6)\/g) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/15 + ((-25)\/9)\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*g + 9 = -4, 3 = 3*g. Suppose a*t = -5*b + 33, -17 = -b + 2*t - 8. What is the least common multiple of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247 + 245. Which is the closest to 37? (a) -0.1 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.01489 decades to millennia.\nAnswer: 0.0301489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) -4 (c) -8.8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24*u = -20. Is (2968 + u + -6)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7242 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(18\/(-4)*4\/(-264)). Suppose -1482 = -p*g + 170*g. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4130 by -826.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 21*p - 87. What is a(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 50. Let r(a) = 31*a**2 + 2*a + 86. Give r(t(w)).\nAnswer: 31*w**2 + 3102*w + 77686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137683, 137759, 137835, 137911?\nAnswer: 137987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -24899261\nAnswer: -2\/24899261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291*a**3*m**2 + 2*a**3*m*r**2 - 4*a**2*r**2 + 6*m**2*r**2 wrt a.\nAnswer: 1746*m**2 + 12*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*g - 2, -5*g + 2*b + 3*b = -10. Solve -3*o - 5*y = -4, -3*o - 4*y + 2 + 3 = g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192580866 and 128387244?\nAnswer: 385161732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 2}. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2870, -5638, -8404, -11168, -13930, -16690, -19448?\n\"Answer: q**2 - 2771*q - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*h, -4*h = 4*a + 21 - 9. Suppose a*s + 3*n + 9 = 0, -3*n + 4*n = s - 8. Solve t + 2*t = s*k, t - 4*k - 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(2*sqrt(272) + -2)**2 + -6*(1 + sqrt(17))**2 + (sqrt(1377) - -1*sqrt(1377)) + 1 + 4.\nAnswer: -122*sqrt(17) + 4265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10)**23\/(u**(-6\/11)*u*u**19\/u) assuming u is positive.\nAnswer: u**(2327\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.612 + 0.1263. What is r rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -40*p + 2. What is s(2)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15719389085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 253.636mm?\nAnswer: 253636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620867029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175852, 351607, 527362?\nAnswer: 703117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:56 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -78*o - 2. Let i = 858 - 814. Let v(p) = -46*p**2 + i*p**2 + 3*p - 3*p. Determine v(y(s)).\nAnswer: -12168*s**2 - 624*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 0.004 (b) 41 (c) 1 (d) -8\/37 (e) 1\/6 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*((sqrt(468) - sqrt(52)) + sqrt(52)) + sqrt(52) + (sqrt(52) - 4*sqrt(52)*-1))\/((sqrt(480)\/(sqrt(10)*2))\/sqrt(12)))**2*-5.\nAnswer: 234000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085463 is divided by 22912?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 18 = c. Suppose 0 = -9*s + 6*s - c. Is s*2\/4*-641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13815 or 13814?\nAnswer: 13814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 6. Suppose -3*n - 12 = -2*y, -4*y = -n + y - 17. Let t be p(n). Suppose -2*l - t*s = s - 8254, s - 16488 = -4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16192970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 = -6*l + 7*l + 4*j, 3*l - 5*j - 1914 = 0. What is the remainder when l is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187316 is divided by 93631.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.797 + -3.208. Round y to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + 4\/20. Sort 4, t, -4\/7, 4\/3.\nAnswer: -4\/7, t, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 2, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1875 and -0.02.\nAnswer: 1874.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79297799*s**3 + 66771427*s**2?\nAnswer: -475786794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*f**3*x**3 - f**3*x**2 + 4214*f**3*x - 1601*f**2*x**3 - 141*f**2*x + f*x**2 wrt f.\nAnswer: 90*x**3 - 6*x**2 + 25284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 - 204. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -263519, -527054, -790607, -1054178?\n\"Answer: -9*i**2 - 263508*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*q - 252*q - 3*x + 3 = 0, 5*x - 86 = 22*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -14*q - 0. Suppose a = -2*l - 4*a + 5187, q*l - 12890 = 3*a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 276 (b) 0.2 (c) -5 (d) -3 (e) 0 (f) -4 (g) -2\/51\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1917923 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6 - (2 + -8 + -3)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001100101101001110000 + -1110?\nAnswer: 1110001100101101001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364954 is divided by 1263?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1097786269*h**6 - 171480154*h**2?\nAnswer: -131734352280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3234*m + 29484. What is p(-7)?\nAnswer: 6846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*i + 26 = 0, 110*u + 4*i - 188 = 57*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:15 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 489756.\nAnswer: 1469268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-2))\/((-9)\/4). Let z = 2263643\/6 - 377274. Which is the nearest to d? (a) z (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saassaoaaaosaaaasaa. What is prob of sequence oo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 6*j - 2*j + 1 + 2*j**2. What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-1166)\/(-1060)*15\/(-2)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012199308 to 6 dps.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 + 2.16. Let t = 21 + -21.3. Put -2\/27, t, p, 0.2 in increasing order.\nAnswer: t, -2\/27, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose g + v*i - 38 = 0, -4*g + 3*i = -52 - 25. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4264955 divided by -6.\nAnswer: 4264955\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*l + 5*h + 27760 = 126*l, 0 = -4*l + h + 27776. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99441, 99444, 99447, 99450, 99453, 99456?\nAnswer: 99459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7104 + 24473. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67.848 - 0.752. Let u = r - -76. Let z = u - 8. What is the second smallest value in z, -2\/25, 4\/7?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 995 and 1356122315.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 236006444.4 to the nearest one hundred thousand.\nAnswer: 236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 102. What is the second biggest value in x, -3\/4, 0.3, -5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -18, -55, -94?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6072618*j**4 - 8241*j**2 - 2*j + 1 wrt j?\nAnswer: 145742832*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206101439?\nAnswer: 47, 4385137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3491*k**4 - 4*k**2 + k**2 - 41*k - 3493*k**4 + (4*k**2 - 4*k**2 - k**2)*(-234*k + 234*k - 8*k**2).\nAnswer: 6*k**4 - 3*k**2 - 41*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20312321 (base 4) to base 5.\nAnswer: 2130111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -162, -378, -680, -1068, -1542, -2102?\n\"Answer: -43*o**2 - o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3648139.\nAnswer: 11, 41, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2852318*d*t**3 + 2*t**3 - 2*t**2 - 11*t + 7147 with respect to d.\nAnswer: 2852318*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1579, 6, 107.\nAnswer: -3, 6, 107, 1579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21332555 to the nearest integer?\nAnswer: 4619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, k: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3350347 and 3367.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 2128996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1679752 and 41\/6168.\nAnswer: 5039256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 28*j - 198. Let b be t(-38). What is the greatest common factor of b and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - 6 - 2 - -9.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - 24)*(28259\/(-55) - -34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*m**3 - 5*m**4 + 2*m**2 - 5*m + 3*m**4 - 25*m**3 in the form n*m**3 + l*m + j + y*m**4 + t*m**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/9 + 39602*y\/9 + 396220\/9 = 0.\nAnswer: -10, 19811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 13321369 = 41*u + 64230231. Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/18*170\/(-425).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 0\/(-1 - 2). What is the second biggest value in -1\/8, h, -2\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {c: 2, y: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 1. Let r be q(0). Calculate the remainder when 30 is divided by -12*(r + 2\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -69.2. Let m be 4 + -1*4 + 2. Let u be (-2)\/(6\/m + -2). Which is the nearest to -0.1? (a) u (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371441 and 329.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 507*b - 141 wrt b?\nAnswer: 507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and -29\/586797.\nAnswer: 2347188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - 2.3. Is h <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28719, -40, -47 in descending order.\nAnswer: 28719, -40, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/140911268?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -181. Let m(x) = -x + 12. Let r be m(0). What is the highest common divisor of s and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, q: 6}. Give prob of picking 1 t and 2 q.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 5*r - 16*a, -4*r + 766*a - 5 = 769*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((1 - 3) + 0)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(19 - 19 + 27*i)*(2*i**2 - 1 + 1).\nAnswer: 54*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, 14, 52, 106, 176, 262?\n\"Answer: 8*u**2 - 2*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*c + 10 = 0, -3*x + 10 = -2*c + 6*c. Let u be -10*20\/200 - -5. Solve -u*y + x = 5*r + y, 5*r + 6 = -y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 5. What is c(-18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:57 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8118 - -63266. What is the third derivative of -55148*i**3 - 82*i**5 + 2*i + g*i**3 - 58*i**2 wrt i?\nAnswer: -4920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)\/k**(4\/3))**(-2\/7)*((k*k**(-1)*k)**(1\/55))**(-33) assuming k is positive.\nAnswer: k**(-11\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**3 + f**2)*(-f**2 - f + f) + (1 + 2*f**5 - 1)*(7 - 2 + 16).\nAnswer: 43*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29111 - 19355. List the prime factors of n.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/51518 and -45\/2.\nAnswer: 51518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53, -258, -813, -1892, -3669?\n\"Answer: -29*b**3 - b**2 + b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-1)\/(-2)*1. Let q be (2*-1)\/(2 + y). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38322 by -19161.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 763716844 to the power of 1\/3, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18320 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/3 - 2) + 8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*c**3*d*t**3 + 2*c**3*d*t**2 + 7*c**3*t**2 - 225265*c*d*t**3 + 492*c*d*t - 7*c*t wrt t.\nAnswer: -126*c**3*d - 1351590*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -8, -10.3 in decreasing order.\nAnswer: -1\/3, -8, -10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 3*w - 5*w + 4*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310 + 345. Calculate the smallest common multiple of c and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87300 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:29 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 152307?\nAnswer: 152302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 - 198. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 5*q**2 + 44*q + 63. Determine d(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/((-123)\/18))\/(69\/(-391))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**5\/20 + 7*y**4\/4 + y**3\/6 - 39*y**2\/2 + 7*y + 148. Give i(21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/9232 and -61\/40?\nAnswer: 46160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -5. Let f(q) = q**2 + 31*q - 32. Let o be f(z). Solve 0 = 2*u + 3*v + 10, -5*u - 25 = -o*u + 2*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211032233 (base 4) to base 11.\nAnswer: 263585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5826.500002 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 54188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 139260 = 6*r. Let k = r - 18317. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3045634*h**3*u**2 + 91*h**3*u + 2*h**3 - 720*u + 8 wrt u.\nAnswer: 6091268*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 4*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585 + 440 - 481 = 68*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26ab - -121?\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-90)\/(-15))*19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/84 + 1 + 0. Let g be ((-84)\/(-15))\/((-6)\/(-230)). Let l = g - 216. Which is the third biggest value? (a) l (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/5 + -3)\/(6\/5430). Suppose -2*a + 293 = -u - 4*u, 5*a - 4*u = v. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:59 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -383*b**3 + 2292*b**2 + 13*b + 156. Calculate n(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 899302449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/9)\/((-4)\/(-18)). Solve 27 = -2*r - 5*d + 3, -g = -3*r + 3*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.83 to 0 dps.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**3\/7 - 5916*x**2\/7 - 3656484*x\/7 - 598638560\/7 = 0.\nAnswer: -5240, -338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 3. Let z be c(3). Suppose -4*y + 6*y - 6 = z. Suppose -d - 4 = -5*i + 1, d + 3 = y*i. Is -2\/39 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66897701 - -0.041.\nAnswer: -66897700.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 316 - 16*j - 14*j.\nAnswer: -28*j - 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3980.\nAnswer: -3\/3980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1804731006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-13)\/((n\/(n*n**(2\/17)))\/n)*n**(-8\/7)*n*n*(n\/n**(14\/9))\/n assuming n is positive.\nAnswer: n**(-13474\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -438 - -438. Find the third derivative of 160*s**2 - 9*s**2 + 2*s**3 - 12*s**6 + l*s**3 + s**3 wrt s.\nAnswer: -1440*s**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 306\/21*(-49)\/21*-51. What is the highest common divisor of 204 and g?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {q: 1, g: 2, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/12*(-80)\/(-1260)*14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y + 23*y + 4 = 4*j, 14 = 2*j - 3*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1370 = -3*y + 8*y, -2*h - 3*y = -547. Suppose -d + 6*d = h. Suppose 6*j - 236 = j + 2*x, j = 3*x + d. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r**0)*r)*r)**(-27))**42)**(14\/9) assuming r is positive.\nAnswer: r**(-1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010 (base 2) to base 14.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887 greater than 1882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(32*q**5 - 6*q**5 + 14*q**5) - 14*q**5 - 55*q + 55*q.\nAnswer: -54*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*b = 11, 7*l - 10 = 2*l - 3*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avvgalvjvvjj. What is prob of sequence gjaa?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 437 = -422. Which is greater: c or -1\/253?\nAnswer: -1\/253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.6 - -5.6. Let s = t - 3.99. Is -1 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9934807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Round 119861570 to the nearest one hundred thousand.\nAnswer: 119900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 9. Let b be d(5). Let o(i) = -i**3 + 4*i**2 - 2*i. Let c be o(b). Let f be (14\/8)\/((-2)\/c). Solve 4*p + 5 = -f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, h: 6, q: 6, o: 1}. Give prob of picking 1 y and 1 h.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k + 4*j - 28, -j - 14 = -4*k. Let l = -1 + k. Solve 3 + 6 = -2*i + l*a, 3*a = -3*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5728*o - 31138 + 615394 = 0 for o.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l**4 + 1026*l - 1028*l - l**3 - 2*l**3 to f*l + m*l**3 + p*l**2 + j + k*l**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*j - 16 = -6*q, 3*q - 64 = 2*j. What is the lowest common multiple of q and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 24. Sort -4, -3, -0.2, g in increasing order.\nAnswer: -4, -3, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 98 = -4*n, 15*n + 4*j + 32 = -306 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23528\/1201 or 20?\nAnswer: 23528\/1201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 4. Let k be f(-5). Solve -5*p + 25 = -c, 3*c - k = -3*p - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 58*f - 560.\nAnswer: -(f - 280)*(f - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:28 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let t be q(2). Suppose -3*g - b + 18 = 0, t + 4 = -4*b. Let h(m) = 6*m + 12. Is h(g) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -146, -1 in increasing order.\nAnswer: -146, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -102*t - 22. Let v = 72 - 67. Suppose 4*b + 8 = -3*u, -5*u + 8 = b - v*b. What is the units digit of q(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 125*s**4 - 2673600*s**3 + 19002516360*s**2 - 44455566521152*s - 3017613372807792 = 0. Calculate s.\nAnswer: -66, 35758\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 45 = -3*r, 4*c + r - 63 + 232 = 0. Let g = 71 + c. Suppose g - 296 = -a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -939930\/143 or -6572?\nAnswer: -939930\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005807 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 986929745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**2 - g**2)*(-34*g + 5*g + 4*g) + (0*g**2 - 5*g**2 + 2*g**2)*(0 + 2*g**2 + 0).\nAnswer: -31*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 575443364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13406 is divided by 4382?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**(-2\/69) assuming p is positive.\nAnswer: p**(-2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10905, 10953, 11027, 11127, 11253, 11405?\nAnswer: 11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - v = 4 - 8, -a + 5*v + 12 = 0. Calculate the remainder when 1\/(a - 4)*-28 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 bigger than -2512\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 + 91. Let p = 89 + t. Calculate the remainder when 6 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3800)*1 - sqrt(3800)) + sqrt(3800))*-1*6)\/(sqrt(2)*2*-5 - (sqrt(2)*-2 + sqrt(2))*-2).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 24?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81599 by -202.\nAnswer: -81599\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*a = -1508, -3*t = 4*a - 430 - 466. Suppose 0 = 2*o + 4*i - 60, 4*i = 5*o + 84 - t. What is the greatest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 0*z**3 - 3*z**3 + 0*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84*o**2*p**2 - o**2*p + 190*o**2 - 58*o + 83*p**2 + 9*p + 47 wrt p.\nAnswer: -168*o**2*p - o**2 + 166*p + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*r + 13230 = 353*r - 919*r + 348*r for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/60 - l**4\/24 + l**3\/6 - 4*l**2. Let n = 12 - 9. Let j(p) = p**3 - 3*p**2 - 3*p + 2. Give n*g(c) - j(c).\nAnswer: -c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h + 1. Determine k(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9c (base 13) to base 16\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -54. Suppose 146 = 5*l + 4*z, 2*l - k = z - 0. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/(29\/(-116)). Solve h = 2*a - 0 - 9, -3*h = 4*a - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 37236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 + v + 2. Let b be a(-2). Find j such that 130*j**3 + 80 - 25*j**2 - 10*j**2 + b*j - 125*j**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n + 9*n**3 - 20*n - 6*n**3 + 96*n**5 - 3*n**3 + 1 wrt n.\nAnswer: 1920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3536974\/23 and 153781 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 240 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 28) + (12 - 14).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4\/4 - 7*c**3\/3 + 5*c**2 + 8*c - 142. Give z(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6438 + 5934.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a0 - 4?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*627\/418.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43005 (base 9) to base 8.\nAnswer: -67424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -32.1. Let w = m + -6. Which is the closest to w? (a) 1 (b) -0.4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:25 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztzttzzztttz. Give prob of sequence zztt.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4218)\/(-7030))\/(2\/8*6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 180. Let a(s) = s**3 + 6*s**2 + 3*s - 3. Calculate the remainder when t is divided by a(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -727 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*m - 6*m + 14 = 0, -m + 8 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3732 + 3727. Suppose -5*f + f = -20. Let y = f - 9. What is the third biggest value in y, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3800891?\nAnswer: 73, 52067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*w**5 + 15*w**4 - 25*w**3 - 15*w**2 + 5*w = 0. What is w?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 4, f: 1}. What is prob of picking 2 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42003 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82808 and 512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31.4 from -0.02112.\nAnswer: -31.42112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1. Let y(t) = -4*t - 8. Let d = -7693 - -7699. Give d*l(c) - y(c).\nAnswer: 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 8*k**2 + 3*k + 12. Let a be (-7)\/((-21)\/9) - 1. Suppose -a*j + 9 - 13 = 4*b, -j - 5*b + 7 = 0. Calculate r(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 7 (c) -822\/11 (d) 0.06 (e) 5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 170? (a) 2 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -35*m + 2134. Calculate the remainder when m is divided by 72.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161499179663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + r + 7. Let j(u) = u**2 + u + 1. Let m be 0 + -4 + 16 + -7. Let x(n) = m*j(n) - g(n). What is the remainder when x(3) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c**2 - 5*c - 3. Determine m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 13*k + 55. Calculate b(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187)*-5 + sqrt(187))*4)\/((3*sqrt(121))\/sqrt(11)).\nAnswer: 17*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7499163 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 7\/48071, 0.2, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 8 + 4. What is the remainder when 44 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/24 - 11*n**3\/3 - 47*n**2 + 85. Let w(a) be the second derivative of g(a). Find the first derivative of w(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44427 - 44401. Let a(q) = -2*q - 15. Let x be a(-11). Is v != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 205*l - 3106. Calculate f(15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4*u + 5)*(-13936 + 10754 - 750 - 15926 - 17526) to i + y*u and give y.\nAnswer: -149536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 36620402 and -348.\nAnswer: 36620054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*n = -979*n - 434 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f + 56. Let m be u(5). Let z(g) be the first derivative of 5*g**2 + 41*g + 3. Let s be z(m). Let c(i) = -5*i**3 + 2*i - 1. Calculate c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/4 in 0.07, -0.3, 13, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**5*a*a\/(a\/(a**(-3\/8)\/a)))\/(a**(-1\/4))**(-18\/7) assuming a is positive.\nAnswer: a**(-281\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let f be (26\/(-10) + 2)*-5. Solve 5*o - 11 = -t, k = 2*t + o + f - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 48*k**3 + 180*k**2 - 200*k.\nAnswer: 4*k*(k - 5)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18 and 3 + (-37 + -4 + 4)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = -o, -3*g + 2*o = -0*g - 1. Which is smaller: -8\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b*b**8)\/((((b*b**(-13)*b)\/b*b)\/b)\/b**(1\/2)) assuming b is positive.\nAnswer: b**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41954*c**2*y**2 - 41*c*y**2 + 2*y**2 - 150 wrt c?\nAnswer: -83908*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18167551 to the power of 1\/2, to the nearest integer?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6802 and 490444606.\nAnswer: 6802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 1:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (-2*(6*(sqrt(112) + (sqrt(112) - sqrt(112)*2)) - (sqrt(112)*-1 + -4))*-2)**2.\nAnswer: 512*sqrt(7) + 2039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 5122*d + 41034. Give t(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((9 - 9)\/(-9))\/(-2*2). Let k(z) = -3*z + 25. Let v be k(4). Let d(w) = -w**2 + 15*w - 16. Let m be d(v). Solve u = t + t + m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let c(p) = 8*p - 21. Determine x(c(i)).\nAnswer: 16*i - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 8:17 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2049105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(288*w**3 + w - w**2 - 1141117 + 1141117)*(-5 + 2*w + 5).\nAnswer: 576*w**4 - 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -177172*l + 708692. Give n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 34 = 265 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*x - 21, -4*x + 0*y - y - 27 = 0. Let g(d) = 9*d + 6. Let i(w) = -8*w - 5. Calculate x*i(b) - 5*g(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/(-18) + 2)*0. Let k(x) be the third derivative of 0 + a*x - 1\/6*x**4 - 2*x**2 - 1\/3*x**3. What is the derivative of k(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 24 - (-65 + -51 + 112)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 52629, 1\/34 in ascending order.\nAnswer: 1\/34, 36, 52629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14284*q**3 + 2314*q**3 - 17656*q**3 - 360*q**3.\nAnswer: -29986*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07289 - 5.07289. Put l, -2\/261, 2\/65 in increasing order.\nAnswer: l, -2\/261, 2\/65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 11*s + 288. Let f = 34 + s. Suppose -2*m - 4*w + 4 = w, 5*w - f = -m. Solve -7 = 5*v - 3*i, 4*v - m*i = 1 - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001000 + 11000110011001?\nAnswer: 10111010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 4*l. Let m(b) = b**3 + 6 - l*b**2 + 4*b + 3*b - 2*b**3. Let g be -2*((4 - 2) + 1). Calculate m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -909651, -909667, -909695, -909741, -909811, -909911, -910047, -910225?\n\"Answer: -o**3 - 9*o - 909641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*m + 329449*m**3 - 13*m**2 + 17 + 10 + 0*m - 326123*m**3 wrt m?\nAnswer: 19956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 + 19*k**4\/2 - 89*k**3\/2 + 149*k**2\/2 - 39*k = 0. What is k?\nAnswer: 0, 1, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 24 = 5*t + 5*b, 4*b + 2 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50016 by 12504.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u**3 + 6*u**2 - 13*u. Let i(h) = -9*h**3 - 7*h**2 + 13*h + 1. Let f(g) = -5*i(g) - 4*z(g). What is f(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -3*(-2)\/2. Let a = n - -5. Suppose a = -0*b - 2*b + u + 1, -u - 5 = -4*b. Solve 2*h + 12 = -2*h + 3*s, -2*s = -b*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m + 43*m**3 - 13*m - 7*m.\nAnswer: 43*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126499 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 926 - 922. Let k = -0.12 - -0.02. What is the nearest to 0 in k, 2\/13, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 332, 13 in decreasing order.\nAnswer: 332, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*q, q = -q - 4*y + 2. Let p = q - -5. Let f = -261\/889 + 1\/127. What is the third smallest value in p, f, -3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9100732 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 4*j + 1. Let c(z) = -3*z + 4*z + z**2 + 2*z - 2*z. Determine -4*c(b) - l(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(0\/(-1) - (2 + -4)). Solve 1 = -z*y - 3*m - 14, -2*m = 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p = -65. Let z = p + -10. Suppose 2*d = -z*d + 565. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 2, j: 2, a: 1, x: 2}. What is prob of picking 1 w and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**10\/2520 + v**6\/180 + v**3\/3 - 1. Let t(i) be the third derivative of y(i). Find the third derivative of t(u) wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:08 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 199*k**6\/10 + k**4\/24 + 1873*k**3\/6 + 600*k**2 - 5. Find the second derivative of u(l) wrt l.\nAnswer: 14328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*n - 63*n = 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -126*n - 155. Let s(i) = 125*i + 157. Let o(q) = 6*m(q) + 5*s(q). Find the first derivative of o(b) wrt b.\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.3 and -0.02?\nAnswer: 0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 48. What is o(-26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*t - 27 + 18 = 0, -3*t + 12 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19146167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18563*c + 1002393. Determine n(-54).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 10) to base 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 5. Suppose -4*b + 33 = 9. Let a(i) = -54*i + 547. Let p be a(10). Let k(v) = 3*v + 6. Give b*k(d) + p*c(d).\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197622 less than or equal to 5928619\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 16 + -2 + 1. Suppose 288 = 31*h + 45*h - 4*h. Solve -3*f + x + 17 = h*d, 0 = -2*d + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - l - 3*l - 1884, 1434 = -3*s + 4*l. Let r = 824 + s. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 29.4 times 99794.8\nAnswer: 2933967.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1585897543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 - 4.899958. What is h rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43101 - -5?\nAnswer: 43110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*o = 1468 - 543, 2*m + o - 612 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81301 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 62, 2, 0 in descending order.\nAnswer: 62, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 346565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 + 4. Let d be n(-4). Solve -18 = d*j - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 1:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -5, -1049, 12, -1 in descending order.\nAnswer: 12, 3, -1, -4, -5, -1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2822246 to three dps.\nAnswer: 3.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489509 = -116*l + 3*l + 1661997. Is 113 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1563 by -19.\nAnswer: -1563\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 6*w - 8. Suppose q = -2*a, 4*q = 3*q - 4*a - 4. Suppose 24 = -q*j + c, 4*j + c - 12 = 6*j. Determine y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5881261 and 1702.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-4 - -4)\/1. Solve 0 = -v*i + i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -n - 3*x, -410896*n + 410899*n - 5*x - 263 = 0 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2. Let r(i) be the third derivative of 31*i**8\/20160 - 13*i**5\/60 + i**2. Let o(d) be the third derivative of r(d). Give w(o(k)).\nAnswer: -961*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*c - 7*c + 12*c)*(2 + 0 + 0)*(2*c + 3*c - 6*c) + c**2 + 0*c + 0*c as o + b*c + h*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85953028 rounded to two decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -8, -4, -2, -12, -3 in increasing order.\nAnswer: -12, -8, -4, -3, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**4 + b**3 + (-2*b**2 + 2*b**2 - b**2)*(1661*b**2 + 1504*b**2 - 762*b**2))*(1 + 2*b - 1).\nAnswer: -4802*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z - 1 + 3*z - 2*z. Suppose 2*n - t = -46, 0*n = 3*n - t + 67. Let a(s) = -8*s + 7. Let m(q) = n*j(q) - 3*a(q). Let b(l) = -10*l**2. Give m(b(p)).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48471 and 7701.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -284. Let i = d - -144. Calculate the remainder when 55 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 16*y - 5 = 13*y - 44*y + g, 0 = 5*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -7\/10, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4081985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 + 25*a + 20. Let b(c) = -c**2 + 6*c + 5. Let v(h) = -9*b(h) + 2*t(h). What is v(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -135 (b) 6 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + -108 + -1 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2407 = 3*f - 3983. Let s be (-224)\/f + 4\/30. Is s bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2*l + 51*i**2*w - 2*i*l*w**3 + i*w**2 - 2*l**2*w + 11*l**2 + 7*w**3 wrt l?\nAnswer: i**2 - 2*i*w**3 - 4*l*w + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656621417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/951148 and -29\/4290?\nAnswer: 185473860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvlllffllvflllllvvff. What is prob of sequence vf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*b**4 + 46*b**3 + 18*b**4 + 65*b**2 + 10*b**3 - 116*b**3.\nAnswer: -5*b**2*(b - 1)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/30 - y**2. Let k(q) be the first derivative of -2*q**3 + 8. Calculate k(v(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1620 or 1623?\nAnswer: 1620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 26*c + 18. Let a(j) = 3*j + 2. Let f(o) = -9*a(o) + d(o). Let h(y) = -2*y**3 + 2*y**2 - 3*y + 33. Determine -2*f(g) + h(g).\nAnswer: -2*g**3 - g + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1319 (base 10) to base 15.\nAnswer: 5ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 - 1074*k**4 + 79672*k**3 - 288936*k**2 - 905184*k = 0. What is k?\nAnswer: -2, 0, 6, 84, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 11*r**2 + 10*r + 2. Let b be a(-10). Suppose -b*p + 4*p = 0. Let s be ((-2)\/65)\/(2\/10). Does s = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 + (-374)\/(-110). Let w(t) = 2*t - t - x*t + t**3 - 69 + 70 + 7*t**2 + 5*t. Let z = 13 + -19. Calculate w(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 15. Suppose 3*w + 0*w - 21 = -5*i, 25 = 5*i + 5*w. Suppose -d = -i*n + n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 12 = -17*a. Suppose -6*c + 2*c = 3*n - 66, 0 = 2*c - a. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7218 (b) 0.3 (c) -0.0339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 1559?\nAnswer: 8\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 10. Let y be (-1)\/((-7)\/29302*-7). Let x = y + 601. Calculate s(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)*b*b\/(b**7\/b)*b**(-5)*b**(-7) assuming b is positive.\nAnswer: b**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p + 3*z = 15, 0 = 5*p + z - 18. Solve -5*h = v - 15, -2*h + p = 4*v - h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -658648 divided by 9686.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3535*d + 11397*d - 3753*d - 3758*d.\nAnswer: 351*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009145295 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:48 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39875 and 1450?\nAnswer: 79750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 31 - 33)*(8 - 5*l - 8)*(-2 + 2 + 2).\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/11 + 4*i**2\/11 + 30*i\/11.\nAnswer: -2*i*(i - 5)*(i + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/24*3)\/(36\/(-28) + 8676\/6552)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:00 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d. Let y(k) be the second derivative of -157*k**3\/2 - 5*k + 268. Give y(n(o)).\nAnswer: 1413*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 3*x - 3*f, -4*f - 115 = x - 2*x. Suppose -x = -6*v - 21. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553416 is divided by 212781.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 7*w**4\/12 - 19*w. Let v(o) = -6*o**2. Give 5*s(n) + 6*v(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 10*u - 18*u. Suppose -5*i - 4*b = -122 - 86, 4*b + 112 = 3*i. Calculate the remainder when i is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 2 + 2*a**2 + 2*a**2 - 2*a**2 - 4*a**2 - 51*a as j*a**2 + w*a + h and give w.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -569 - -5126\/9. Let d = -22712\/14589 - -2\/1621. Find the common denominator of u and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -4*b - 0*b. Suppose -1968 = 86*i - b*i. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 28*c = 0. Suppose c = -177*h + 171*h + 12. Let k be ((2 - 2)\/1)\/2. Solve 0 = h*b + 10, k*b + b = 2*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 1. Let z be y(-4). Let w(t) = 12*t - 34. Let o be w(3). Factor 0 + 1\/4*q**z + 1\/2*q**o + 1\/4*q.\nAnswer: q*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3861188.\nAnswer: -1\/965297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*y = -2 - 16, 5 = 5*c - y. Suppose -h - w = 0, 3 = 2*w - 5*w. Let f(v) = 0 - 2*v - 1 + 3*v**2 - h. Give f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649190103.\nAnswer: 11, 139, 239, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 231.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 122397803 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (8 - -1) + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3606478 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: What is the hundreds digit of 4855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -1\/9, -1\/4, 0.6, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/56 and 115\/2282.\nAnswer: 9128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:12 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83147525 by -25.\nAnswer: 3325901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -4 (c) -28 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 7*i**2\/2 - 5*i - 7. Let b be u(3). Calculate the highest common factor of 128 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1617 = -i - 2*l - 1632, -5*i - 12 = 3*l. Let b = -5.06 - -0.06. What is the second biggest value in i, 9, b, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + 8. Let v(k) = -h + k**2 + 24*k - 27*k + 2. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 47.1. Let f = -5 + 5.3. Let o = f - 0.1. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -5. Is k at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (462\/9)\/((-6)\/(-117)). Let p = t + -5064\/5. Find the common denominator of p and -35\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 465 + 710 - 531 + 782 to the form w + y*h and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q*(q\/q**(-1\/5)*q)\/q*q)\/q)\/(q**(-3)*q)*q**(-4)\/q**1 assuming q is positive.\nAnswer: q**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*z + 2)*(-1 + 2 + 1) + 311247 - 311247 + 2102*z to the form w*z + y and give w.\nAnswer: 2106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119462077.\nAnswer: 7, 17, 991, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23947094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.78 - 1.15. Let s = -0.07 - y. Let m be 2 + 2*(-13)\/8. Which is the nearest to -1? (a) m (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8))**(-6\/11) assuming t is positive.\nAnswer: t**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/20316 and 25\/165914.\nAnswer: 995484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1413 + -706. Let z(k) = 2*k**3 + k + 709*k**2 - r*k**2 + 4 - 3*k**3. Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 17*o**2 + 38*o + 34. What is n(14)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15582.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111101010 - 11100010011000?\nAnswer: -110010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, -3, 125, 1 in decreasing order.\nAnswer: 125, 3, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791*f + 52 = -804*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*l + 278057 + 2580263 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 930 - 592. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*n + 5, n + 10 = 3*n. Solve -8*w = -4*w + u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/60*5\/6*4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2511, -2512, -2513, -2514, -2515, -2516?\nAnswer: -2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:03 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1292186\/41 or 31516?\nAnswer: 31516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-35)\/(-15))\/(-7))\/(-3). Put -3\/5, 0.117, m in decreasing order.\nAnswer: 0.117, m, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 4:04 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2520504*z**2 - 5041007*z**2 + 2520518*z**2 - 3 + 0.\nAnswer: 15*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 1296. Calculate the remainder when x(-11) is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -11 - (27 - 27).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 60493128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.09 + -2.89. Which is the closest to -2? (a) 1\/2 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 11*i - 5 = 0. Solve 3 = -3*r - 3*n, -r - 5*n = 3*r + i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*q = 7414 - 2390 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 - 37\nAnswer: -36.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -16202256?\nAnswer: -16202301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 34 + 4 + 6, -83*c - y = 2*y - 0*y - 216 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*l + 104 = -96. Solve -21 - 2 = -5*k - 4*i, 0 = -i + l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**2 + 4 + 2 - 1 + 8*f + f**3. Let c(z) = z**3 + 4*z**2 - 1. Let p be c(-3). Let i be o(p). Solve i*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5)*(7 + (-207)\/27). Let d = -0.7 + 0.2. Which is the biggest value? (a) s (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/11 and -34\/4391.\nAnswer: 48301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41222873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4. Let q be n(-3). Suppose 5*z + q = 6*z. Calculate the remainder when 18 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-30))\/(6\/(-15)). Let k(x) be the second derivative of 5*x**4\/12 - x**3\/6 + x. Is 9 a factor of k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**3 + 2*x**2 + 7*x + 1. Let w be n(3). Suppose -f - 2*p + w = 0, 0 = 2*f - 3*p - 713 + 168. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/442 and 77\/306.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 708bc7 (base 15) in base 4?\nAnswer: 110121000013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*k + 3*y, -19*k + 5*y + 40 = -14*k. Let h = -157 + 223. Suppose 14*j - h = k*j. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31377 and -11?\nAnswer: 3.45147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209, -283, -359, -437, -517, -599?\n\"Answer: -w**2 - 71*w - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24135?\nAnswer: 3, 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**3 + 9*b**2 + 10*b + 4. Let k(c) = 4*c**3 + 4*c**2 + 5*c + 2. Let p(g) = -5*k(g) + 3*z(g). Is p(4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -8. Suppose 11*c - 50 = 6*c. What is the units digit of h*(-2)\/c*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 15*a**5 + (5*a - 4*a + 3*a)*(-2*a**4 + 4*a**2 - 4*a**2).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 280*h - 1 - 225*h + 387*h + 5 to r*h + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**2\/2 - 3*q + 2. Let s be l(6). Let n(h) = -s*h**2 + h**2 - h**3 + 2*h + 2 - 4. Determine n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1185816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 605 + 3 + -3*2. Let c = i + -1823\/3. What is the common denominator of c and 56\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10571\/435 - 14\/435. Let o be (-1 - (-36291)\/(-105)) + -1. Let h = -2516\/7 - o. What is the common denominator of s and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - 14*n - n**3 + 23*n - 17*n**2 + 6*n**2 + 0*n**2 - 1 to w*n**2 + d + j*n + c*n**3 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.38707t to grams.\nAnswer: 2387070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 21 + 81. Let d be (2*1)\/(8\/z). Let s = d + 16. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -53, -103, -193, -335, -541?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 28*g**5\/3 - 22552*g**4 + 41547332*g**3\/3 - 816854056*g**2\/3 + 331175120*g - 218151008\/3 = 0.\nAnswer: 2\/7, 1, 19, 1198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*w + 380 + 376 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 7*v - 9. Let r be j(8). Let l be r\/((1\/5)\/(-1)). Solve 0 = -2*n + l*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4267 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u - 31*u**2 + 28*u**2 - 3*u**2 - 2. Let y be (2\/(-3))\/(7\/(-63)). What is h(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/50 or 670?\nAnswer: 670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 9*r - 17. Suppose -1388 + 1008 = -10*t. Suppose -5*q - 4*u + t = 0, -2*u = -5*q + 64 - 8. Determine w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7225 - -3002. What are the prime factors of w?\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*t + 76, -4 = -2*t + z - 29. Let v be (8\/(-10))\/(t\/1015). What is the greatest common divisor of 145 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from aaiaaagii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19053493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129247*g**3 + g**2 + 1193915.\nAnswer: 387741*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -11. Let x(t) = -3 - 2 - c*t + 4 + 0. Let q(i) = -i. Let j = 2 + -8. Calculate j*q(u) + x(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -64373 divided by -700\nAnswer: 64373\/700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 1735*a + 31899. Give p(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*v + 114. Let j(s) = s**2 - 6*s + 7. Suppose 0 = 2*t - 19 + 5. What is the remainder when v is divided by j(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.58411*-0.29\nAnswer: 0.4593919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*g - 84 = 843*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*k**(1\/9)*k)**2 assuming k is positive.\nAnswer: k**(146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30587 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(288).\nAnswer: 2 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*n + 36, 3*c + 0*c - 10 = -2*n. Is 44\/n*-262*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -612298, 27, 5, 0.\nAnswer: -612298, 0, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/508 and 27\/8.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i**2. Let t(v) = 5*v - 20*v + 77*v + 11*v + 61*v. Calculate t(m(f)).\nAnswer: -1340*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10076 and 5201020.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1251154812 to the nearest integer?\nAnswer: 35372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7693450050 take away -359?\nAnswer: 7693450409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/18 + 9 + 0 + -3. What is the third derivative of z + 110*z**6 - 48*z**6 - z**f - 9*z**2 + 0*z**3 wrt z?\nAnswer: 7440*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159221245.\nAnswer: 5, 41, 739, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 14*x**2 + 37*x - 16. What are the prime factors of m(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/21, 0, -0.1, -2\/17 in descending order.\nAnswer: 1\/21, 0, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/112, -4, 5, 14, -0.4, 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllillllllilll. Give prob of sequence iil.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518738?\nAnswer: 2, 11, 17, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (38\/8*24\/10)\/(-3)*-5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/24 - n**2. Let u be 73 + (2\/(-3))\/((-10)\/45). Let x = u - 80. Give j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 145?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 15 = -14*w + 12*w, 3*f = -5*w - 15. Suppose 0 + 3\/5*q**3 + 3\/5*q**4 - 3\/5*q**2 - 3\/5*q**5 + w*q = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -501 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 11. Let i be u(-4). Suppose 5*q + 5*d = d + i, 0 = 3*d - 15. Let y be (-1 + 1 + 1)\/q. Which is bigger: y or -7\/15?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**3 - 7*q**2\/2 + 27*q - 5. Let p(a) = 0*a + 7*a - 20 + 12. Calculate 6*i(b) - 5*p(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + -16 + 28 + -11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445886 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 3. Let t be p(6). Let a be (2\/(-4))\/(t\/(-5946)). Let f = a - 38651\/39. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 14*i - 5*i**3.\nAnswer: -5*i**3 + 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12137, 97041, 327507, 776315, 1516245, 2620077, 4160591, 6210567?\n\"Answer: 12130*u**3 + u**2 - 9*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1355*n - 1355*n - 2*n**3 + (-2*n**2 - 3*n + 3*n)*(3*n - n - n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 8*a = -4*h + 1520, -5*h + 5*a = -1930. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1506*q - 61743. Determine y(-41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -298 + 1498?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e56 + -3a5?\nAnswer: 1ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19477 (base 10) to base 7.\nAnswer: -110533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4)\/((i\/(i\/(i*i**5)*i))\/i))**(-35) assuming i is positive.\nAnswer: i**(385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 239, 519, 799, 1079, 1359, 1639?\n\"Answer: 280*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 484. Let z = c + -2432\/5. Put 0, z, 2\/13 in decreasing order.\nAnswer: 2\/13, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6802*x + 6872*x = 1960 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 9*j - 4. Let x be n(8). Factor -3*i**x + 3*i**5 + 12*i**4 + 3*i**2 + 0*i**2 + 9*i**3.\nAnswer: 3*i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.052*-104.1.\nAnswer: 630.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.5 + -43. Let z = -4490 + 4467. Let n = z - r. What is n rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 1 + sqrt(363))**2*6 + sqrt(363))*-3 + -3 + (sqrt(363) - sqrt(363)*-2)*5 + sqrt(363).\nAnswer: -26157 - 649*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 4:30 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 4 + 2)*(-1 - 3 + 6)*(-1 + 2 + 1)*(5*p**4 + p**4 - 3*p**4).\nAnswer: -468*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670962665.\nAnswer: 5, 269, 498857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -0.1, 2\/19, -7, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4529590 + -0.37334\nAnswer: -4529590.37334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*t**2 - 313*t**2 + 1003*t**2 as z*t + f*t**2 + u and give f.\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14676 is divided by 3789?\nAnswer: 3309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 66155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-87)\/(-7))\/((-3)\/30). Let t = n - -124. Let j = 0.49 + 0.01. What is the smallest value in j, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-348)\/203 - (-54)\/(-42). Let w(s) = 4*s**3 + 3*s**2 + 12*s + 3. Let y(i) = -9*i**3 - 7*i**2 - 23*i - 7. Determine x*y(q) - 7*w(q).\nAnswer: -q**3 - 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 2, 0.1, 0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 11735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -677 - -4511. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (-81)\/99*-11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -59. Let t be (-8)\/12*(29 + -23). What is the third smallest value in t, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**2 + 4 - 11*i**2 - 3*i**2 - 5 to z*i**2 + j*i + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/(192\/80)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 5*l - 5. Let x = 1414 - 898. Suppose -4*v - 2*v + x = 0. Let i = v + -91. Determine q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176689, 175347, 174005?\nAnswer: 172663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2905 (base 10) to base 12\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -a2f3?\nAnswer: -a2ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -12*z + 17*z - 3*z - 16, -16*z + 101 = 101*k - 96*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-6 - (-22 + 6))) + 64 + (-2 - -6).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42722\/16 + (-7)\/56. What is the units digit of v\/12*32\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.8575 meters in kilometers?\nAnswer: 0.0958575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 10) to base 8.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 96 + 84. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, r: 1, g: 3, q: 1}. Give prob of sequence gg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = 80. What is the units digit of (-6)\/8 + 150\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81008408, 81008404, 81008400?\n\"Answer: -4*m + 81008412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 1363, 4399, 10227, 19777, 33979, 53763?\nAnswer: 80059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32102, -54859, -77614, -100367, -123118, -145867?\nAnswer: -168614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1 - 2*c**2 + 0*c**2 + 0 + 3*c**3 + 2*c. Let i be o(1). Let d(q) = -q + q + i*q. Let z(l) = -4*l**2. What is z(d(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -9 - (-6 + (6 - 2)) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let c(x) be the first derivative of 5*x**2\/2 + 6. What is c(o(t))?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:23 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - r - 41, 3*r = 2*t + 23 + 14. Let f be ((-6)\/t)\/(6\/(-8)). Which is the closest to f? (a) -2\/17 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 99 = -30. Suppose 33 = -g + s. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 10*h**2 - 6*h. Let z be g(-10). Let i = z - 30. Suppose r = -2*u + i, -5*u + 3*r - r + 66 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11447 - -120?\nAnswer: -11327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17360814019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*c - 22, -c + 14 = -0*c + 3*t. Suppose -75 = c*k - 215. Calculate the greatest common factor of 196 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 (base 9) in base 8?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.650978 to two decimal places.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/58*(-20)\/180. Is 0 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 2*t + 26 - 2*t**2 + 9 to the form a*t + y*t**2 + z and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -896.1 + -34141.143.\nAnswer: -35037.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -29*d - 9. Let g be j(5). Let x be (-12)\/4*g\/6 - 1. What is x rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o + 1. Let f be a(2). Let u = -14 + f. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2929*b**2. Let j(g) = 25*g**2. What is j(i(x))?\nAnswer: 214476025*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000099103362 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(25\/3)\/(y**(-4)\/y**4))\/((y**(1\/4))**(-37\/3))**(34\/7) assuming y is positive.\nAnswer: y**(555\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146 is divided by ((-18)\/22 + 16\/(-88))*(-17666)\/73.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24446*f**3 + 37079*f wrt f?\nAnswer: 146676*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 0.04, -2\/13, 0.35, 1\/136?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 565.42 - 9.42. Let d = m + -556.3. Let h = 11.7 + -11. Sort -1, d, -4, h in increasing order.\nAnswer: -4, -1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from kbkivqkkkii?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1870)\/(-70) + (-2)\/(-7). Suppose i = 5*m + 2*s, -2*m - s = s - 12. Let d be 1 + (1 - -8 - -2). Solve d = y - m*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1139.75907 to the nearest ten.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -667. List the prime factors of l.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + 1) - 5 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0, 459\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76914.62 centuries in months?\nAnswer: 92297544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f - 39*f + 2*p + 154126 = 0, -5*p = -f + 38536. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8845451*i**4 - 7*i**2 - 1721484*i?\nAnswer: -212290824*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, 19, 59, 115?\n\"Answer: 8*z**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -171206595?\nAnswer: -171206601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - h + 5*h + 24 = 0, 4*p + h = -24. Let v be 28\/21*(-1)\/p. Which is the third smallest value? (a) v (b) -2\/11 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -1. Suppose v = 2*z - 5, 0 = -10*v + c*v + 5*z - 10. Solve -v = -4*b + 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 28, 41, 60, 85, 116, 153?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 740*b**2 - 1772005*b + 19574940.\nAnswer: 5*(b - 669)*(b - 11)*(b + 532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59334)\/363 + 74 + 88?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 365 + 1003?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b6 (base 13) in base 9?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2606845, -5213826, -7820807?\n\"Answer: -2606981*v + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**5)\/(u**(-2\/3)*u*u))\/(u**(-7)*u**5)*(u\/(u*u**(-2\/13))*u*u**(-3\/2))\/(u**(2\/7)\/((u**4\/u)\/u)) assuming u is positive.\nAnswer: u**(-1073\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3068*w - 4. Let k(n) = -6118*n + 7. Determine 11*i(c) + 6*k(c).\nAnswer: -2960*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) - (sqrt(99) - sqrt(99)*2)) - 4*(-1*sqrt(99) - sqrt(99)))\/(sqrt(9) + -5*sqrt(36) - 3*sqrt(36)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 26 = -2*x, 5*x - 3*x = -n + 26. Suppose v = 2*i - 1 - x, -5*i + 42 = v. Let o(d) = d - 7. What is o(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 102552*d + 615351. What is c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 80922\nAnswer: 242766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002043569 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 135.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 7*g**2 + 4*g - 17. Give u(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoou. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*y + 57*y = 2239 - 6642 - 1427 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -157. What is the derivative of -15 - g + 17 + 36*a**2 wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 872, 2589, 5762, 10841, 18276, 28517?\nAnswer: 42014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 604101 by 3.\nAnswer: 201367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174500443*d - 92341776?\nAnswer: -174500443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.98 - 0.38. Let g = -8 - -8.6. Let s = g - u. What is the second smallest value in 1\/4, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767 divided by 1?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 4*y - 165. Let c be -163 + 0 - y\/11. Let t be c\/(-154) + 24\/(-132). What is the closest to 0.2 in t, 1\/4, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least -1415\/214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*g**2 - 33\/2*g - 513\/4 = 0 for g.\nAnswer: -57, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28506 by 348.\nAnswer: -4751\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/(-18))\/(3\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94939569 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/((m\/((m*m**(-4))\/m))\/m)*(((m\/m**(-10))\/m*m*m)\/m)\/m**(-1\/5) assuming m is positive.\nAnswer: m**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h - 1. Let k(z) = 8*z + 1. Calculate -4*k(g) - 3*v(g).\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1191025658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*14*(-1)\/2)\/(108\/(-12))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - ((8 - 12) + -3 + -142)) + 54 + -66?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5679*f + 40. Is m(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 267, 562, 1129, 2058, 3439, 5362, 7917?\nAnswer: 11194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 587 - 2003 = 0. Let l = h + 208. What is the greatest common divisor of l and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h**2 + 30*h - 8 = 0. What is h?\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*o + 144 = 0, r = -3*o + 13 + 23. Suppose -2*j - 4*i + 102 = 0, -i = -3*j + 79 + 46. Let g = r - j. Sort -3, g, -7.\nAnswer: -7, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 25*p - 24*p**3 - 99\/2*p**2 + 1\/2*p**4.\nAnswer: p*(p - 50)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, -141\/25, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2893*z = -2882*z - 33. Solve -2*l - 7 = 3*f, -f - z = f + 3*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 54, -2, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 5 + (0 + 0 - 1)*(0 + 2 + 0))*(13190 - 13190 - 131*m) as i*m + w and give i.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 24725, 0.4, 1 in ascending order.\nAnswer: 0.4, 1, 24725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, x: 9}. Give prob of picking 2 l and 2 x.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 137*g**6\/30 - 9*g**2 + 15*g. What is the derivative of w(z) wrt z?\nAnswer: 548*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 15*s - 4. Let j(d) = -3 + 8*d + 0 + 1. What is the smallest common multiple of j(s) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 228, 238, 272, 342, 460?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4901871?\nAnswer: 3, 13, 37, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54364938521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (20 + -10 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 + 3*m**2 - 4*m. Let v(d) = -3*d**3 - 3*d**2 + 3*d. Give -2*p(t) - 3*v(t).\nAnswer: t**3 + 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, -5*u + 4 = -4*u + 3*y. Let a be u\/4*(-3)\/9. Let s be -3 + (0 - -6) + -3. Is s at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 120. Is (o\/10)\/(1\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 11*v - 32. Let q be l(13). Let m = 137 - 96. Is (m\/(-2) + -3)*q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-102 + 29 + -45 + (-2 - -2))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, -1, -2213 in descending order.\nAnswer: -2\/25, -1, -2213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532704295 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*d - 3*d - 22 = 0, 0 = -2*v - 2*d - 16. Let s(p) = 2*p**2 + 2*p + 3. What is the remainder when 28 is divided by s(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, i: 2, o: 6, k: 3, d: 1}. What is prob of picking 2 i and 1 z?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8757.6 + 1529\nAnswer: 10286.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(4\/30). Let q(w) = -w**2 + 10*w + 3. Let d(s) = 3*s**2 - 29*s - 8. Let t(c) = -6*d(c) - 17*q(c). Calculate t(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - 73163?\nAnswer: -7317b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61985 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -56 - 20. Find the second derivative of -d**2 - 6*d**3 + 37*d - v*d + d**2 wrt d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65513 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + -5 + (-5 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83.0884 millilitres?\nAnswer: 0.0830884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(832) + -5.\nAnswer: -24*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -101.9 and -344.\nAnswer: 35053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 215. Let x(w) = 3*w - 212. Give 2*g(y) - 3*x(y).\nAnswer: -3*y + 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/891 or 0?\nAnswer: 28\/891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (26 - 30) + (130462\/1*1 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -17.6, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 30*y + 4. Let q(o) = -120*o - 15. Calculate 4*q(n) + 15*s(n).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 76030 to the nearest 1000.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -207 - -402. Let g = 196 - w. Which is the nearest to 1\/4? (a) -1 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3812049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 2*i**2 - 290*i**4 + 3*i + i**2 + 294*i**4 in the form t*i**4 + x + l*i + d*i**2 + c*i**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (28*6)\/3. Let s = 87 + -879. Let q be (4\/6)\/((-48)\/s). What is the highest common factor of q and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*i + 433*i + 533*i + 514*i = 66040 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -118831, -237649, -356467?\n\"Answer: -118818*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 663137155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -18.2. Let d = a - 4.1. Let s = d - -1.289. Round s to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/20 + v**4\/6 - 2*v**3\/3 - v**2. Let s(y) = 2*y**2 - 3*y + 3. Determine -4*s(h) - 3*t(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeqqqeq. What is prob of picking 2 q and 2 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1052\/2893)\/((-2)\/3). Which is the fourth smallest value? (a) 2\/11 (b) x (c) 3 (d) 0.04 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 1 - (-5 + 22)) + 9 - 80.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 1. Let a(u) = 2*u - 10. Let z be a(6). Let q be 6\/z - (-4 + 8). Let x be m(q). Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 - 189 = 11*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -10315*j + 319800. Give g(31).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**4\/12 + 7*t**3\/6 + 13*t**2\/2 - 1. Let y(w) be the second derivative of q(w). Give y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from {l: 1, e: 3, n: 5}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525 divided by 5?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**4\/6 + 7*z**3\/6 - 8*z**2. Let i be u(5). Let r = -1 + i. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k = 64*k - 64*k - 310 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 123*n**2 + 4*n + 2. Calculate the remainder when l(-1) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:43 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/13? (a) -5 (b) 5 (c) -4276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 divided by -79?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**5\/5 + 127*q**3\/6 - 267*q**2 + 42*q + 1. Differentiate x(o) wrt o.\nAnswer: 12*o**2 + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5006724985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmmmmrfmfmf. Give prob of sequence mmr.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**8\/s*s*(s\/(s\/(s**(-2\/19)\/s))*s)\/s)**42 assuming s is positive.\nAnswer: s**(7098\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - -1*((1*sqrt(68))**2 - sqrt(68)))) + sqrt(68) + (sqrt(68) - ((sqrt(68) - (sqrt(68) + 1)) + sqrt(68) + -4))**2.\nAnswer: -43 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1262535435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -11. Let u = -34 - -39. Let n = u + z. What is the second smallest value in -1\/5, 0, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062732 rounded to 5 decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1377, 2771, 4181, 5607?\n\"Answer: 8*s**2 + 1370*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 7*u - 5. Let i be j(-5). Suppose 31 = 2*c - 5*m, i*m + 1 = -c - 6. Suppose -3*v + c*v = 75. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:41 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -103, -119, -137, -157?\n\"Answer: -m**2 - 11*m - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22746)\/(-408) - (-300)\/48?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 + 3198*o**3 + 60*o**2 + 105*o - 18 - 3193*o**3 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -14 + 4 + (0 - 5 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 5, 4, -2 in decreasing order.\nAnswer: 5, 4, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 - (4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2 = 2*k, 0 = -1317*k + 1304*k - 3*n - 82 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29\/(232\/(-128)) + 16. Suppose -g + 0*g = p - 2, 4 = 2*p - 4*g. Let d = 2 - p. Solve 4*a = -i - x*i - 13, d = -a - i - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 1774 + 96. Let r = u + 190. Solve -r = -4*j + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175325269 and 6111?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g**2 - 3*g + 9. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17317845?\nAnswer: 3, 5, 384841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/19 or -1?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:28 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 33*t + 28*t = -16, 3*t - 18 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 h when four letters picked without replacement from odhcooocohhhchcc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 0*y**2 - y**2 - 2*y**2 - 7*y**2. Let h(o) = -44*o. Determine h(i(a)).\nAnswer: 308*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + 0.04. Let n = o + 0.073. Round n to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -107816846624 and -5.\nAnswer: -107816846629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -1\/4, 0.3, 1\/5, -3.49, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124c5 (base 14) in base 12?\nAnswer: 21b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 11) in base 14?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*h + 12*k - 17*k, 16 = 4*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (1 + -4) - 18) + 12 - -18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1287 and 5518539?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 - -3?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/435 at least 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 - i**4\/3 - i**3\/2 - 18*i**2. Let x be f(-7). Factor -3*s**2 - 5*s**5 - 10*s**x + 3*s**2 - 49*s**3 + 44*s**3.\nAnswer: -5*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 4)*(-4 - 2 + 4)*(0*h**5 + 3*h**5 - 2*h**5) - 27*h**5 - 7*h**5 - 16*h**5)*(-2 + 1 + 0).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -6, -5\/122, -0.1 in decreasing order.\nAnswer: 100, -5\/122, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 164. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3 = -3*l - 3*j, 4*l = -5*j + 2. What is the highest common factor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (10 + -12)) + 0 + 4 + -10\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*m**5 + 9\/5*m - 2\/5*m**4 + 18\/5*m**2 + 0 + 8\/5*m**3 = 0. Calculate m.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -x - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from xooxoooxoooxoooxxoo?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-11490.57.\nAnswer: 114.9057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5316 + 10926. List the prime factors of j.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-2 + -1 + 3 - 4). Find the second derivative of 5*c**2 - u*c - 45*c**2 - 7*c + 35*c wrt c.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 48, 2, 0 in descending order.\nAnswer: 48, 2, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o - 48. Let w(g) = -8*g - 47. Let c(v) = -7*a(v) + 6*w(v). Calculate the remainder when 206 is divided by c(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -1.2 (c) -2079 (d) 4\/5 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 1, 5 in decreasing order.\nAnswer: 56, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 8. Let s be (-2 + 751)\/(-3 - t). Suppose -5*g + 209 = s. Round g to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, m: 4}. What is prob of sequence imi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -3467843?\nAnswer: 3467838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.2 - -43.2. Let j = 44 - 43.9. Which is the nearest to 0.02? (a) j (b) -2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 8*d**2 - 8*d + 2. Let u be y(7). Let w be (-16)\/10 - (-2)\/u. What are the prime factors of (w - -1)*(-1 + -36)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -52211?\nAnswer: -52214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sshq when four letters picked without replacement from {q: 1, s: 4, h: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 plus 0.02342313?\nAnswer: -0.16657687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 314 - 311. Let c(f) = 191*f**4 + 3*f - 85. Let p(x) = 191*x**4 + 4*x - 85. Let a(v) = h*p(v) - 4*c(v). Find the first derivative of a(y) wrt y.\nAnswer: -764*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5082533ms in minutes?\nAnswer: 0.000025137555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33162.\nAnswer: 2, 3, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 14 = -3*s, 0 = -3*s - m - 309 + 615 - 316 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01415225401 to 6 decimal places.\nAnswer: -0.014152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 + -52. What is the tens digit of (-12180)\/(-66) - i\/77?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**7\/630 + o**6\/180 - o**5\/180 - o**2 - o. Let z(h) be the first derivative of m(h). Determine c so that z(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w**2 + 5*w. Let u(k) = 9*k - 32. Let j be (-10)\/(-2) + -2 + 1. Let y be u(j). Calculate d(y).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23845*h*n*t + 18110*h*t wrt n.\nAnswer: 23845*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-1)\/1) + (-24)\/(-1). What is the greatest common divisor of 42 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104058?\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1138259918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-7)*(-1 + 14 + -6). Let n be (t - -9)*(-1 + 2)*7. Solve 0 = 4*k + 3*k - n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11086535?\nAnswer: 5, 463, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 0, h - 37 = -2*f - 18. Solve 3*k - 13 = 4*p, 0 = 4*k + 6*p - 10*p - f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105205 + 151013. Does 61 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-855 - 1799 - 416 - 1703)*((-d - d + 4*d)*(2 + 3 - 3) + 0*d - 3*d + 2*d + (-1 + 1 - 1)*(-d + 0 + 0) + 6*d - 5*d - 3*d) in the form o*d + b and give o.\nAnswer: -9546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.5043 decades in months?\nAnswer: 83700.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 110\/59363?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffsfsffssfsffffsff. What is prob of sequence fss?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4350 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - 370\/(-28). Suppose 0 = -97*m - 181 - 289 - 15. What is the second smallest value in d, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6596 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08019 rounded to 3 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-3 - (-4 - -3)) + (-13 - -20).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {w: 2, d: 9, h: 1, b: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 4. Suppose r*n - 31 = u, -n + 3*u - 42 = -4*n. Suppose 8*a = n*a - 27. Solve 4*b = 7 - a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -858, -1560, -2444, -3510?\nAnswer: -4758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 171*l**2 + 513*l + 19. Give h(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 66236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from jsssssjsss?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.509 millilitres in litres?\nAnswer: 0.836509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150882?\nAnswer: 2, 3, 25147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 35*h**2 - 20*h + 56. Let b be a(18). Suppose 18 = -b*f + 218. Solve -11*j - 2 = -f*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 5*c + 4 - 22)*(c + c + 0*c) + (0 - 2*c + 0)*(-14*c + 1 + 20*c + 61*c).\nAnswer: -124*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -679*v + 15. Let k(m) = 2036*m - 40. Let l(f) = 6*k(f) + 17*r(f). Is l(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -585, -3 in ascending order.\nAnswer: -585, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0. Suppose v + 1 = 3. Put v, h, -3 in ascending order.\nAnswer: -3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1982*t + 7630 = 35*t - 9893 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f1a - -5?\nAnswer: f1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5 + 73361*c**4 = 0?\nAnswer: -73361, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88047795737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1188 divided by 4.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/2 of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) - 10\/(-20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**(-3))**30 assuming c is positive.\nAnswer: c**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zghmghvzhg. What is prob of sequence ggg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*f - 53, i - 2*f + 0*f - 5 = 0. Let d(v) = 1 + i*v - 4*v - 2*v + 8*v. Let y be d(1). Solve r - y = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92 and -2527.\nAnswer: -232484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 2*a**2 + 5*a**2 + (-5*a + 3*a + 3*a)*(-2*a - 4*a - a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 684*t - 323. Is o(3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqvvvvbvbqkvqwvwvvv. Give prob of picking 1 a and 1 b.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 3*s - 4. Let m be g(5). Suppose -m = 4*k + 6. Is (0 - k) + -2 - -36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 20, 50 in increasing order.\nAnswer: 3, 4, 20, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*q - 0*z - 3*z, -q = -5*z - 16. Let d = 13 + -5. Suppose -d*x + 3*x - 25 = 0. Sort x, q, 1.\nAnswer: x, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - (7 - (12 - 3))) - -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26.043 (b) -0.5 (c) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*(-2)\/(-5))\/((-5109)\/(-35763)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrrrrqqqqq. Give prob of sequence qqq.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 17. Suppose 2*s - 12 = -2*j, -2*s - h*j - 1 = -28. What are the prime factors of (-18)\/(-2) - (1 + s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183 is divided by 66\/9*3 - 1*-4?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 - (-5 + 2). Let f(h) = 6*h - h**n + 10*h**2 + 6 - 2*h**2 - 12*h. List the prime factors of f(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324148 (base 10) in base 2?\nAnswer: -101000011010001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 125*m.\nAnswer: -125*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfsfma. What is prob of picking 1 f and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 707 - 706. What is the lowest common multiple of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = -2*w + x, 5*w = -4*x - 8. Let u = -16 - -20. Let l = 4.4 - u. What is the nearest to -1 in 3, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-294))\/(108\/14)*(-16)\/126*-9.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 45 = 5*b, 3*b - 2259*r + 2260*r - 26 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1080204, -0.033, -1\/4 in decreasing order.\nAnswer: 1080204, -0.033, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/654 and 69\/22.\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/(-192)*4 + 6\/(-16). Which is the second smallest value? (a) -0.27 (b) 1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o + 5*o + 0*o + (o + 3*o - 2*o)*(11 + 2 - 3) + 2 + 2*o - 2 as z + r*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -3.561.\nAnswer: -3.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 5*a - 77 + 77 - 3*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388 by 4.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174 - 225?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0319 - 0.0319. Is a bigger than -4.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32430 and 1645?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o - 8*o + 9*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*a + 73 = 42*a + 213 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/18 + 44\/264\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07340865 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f - 4*f - 3*f)*(3*f - 5*f + 3*f - 4*f + f + 4*f + (-3 + 1 + 0)*(0*f + 0*f - f) - 3*f + f + 0*f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -41, -48, -69, -110, -177?\n\"Answer: -j**3 + 2*j**2 + 2*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677 a factor of 834846393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65801 and 435?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) -5 (b) 26 (c) 1\/8 (d) -4 (e) 53 (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2039 - -3307. What are the prime factors of n?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-28) - 326\/8. Let d = -36 - q. Solve -b + 2 = m, -d*m + 12 = 5*b - 0*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 + 0*u**4 - 10*u**3 - 8*u**2 + 13*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4 + 1) + -1. Find the third derivative of 0*q**2 - 4*q**3 + h*q**2 - 3*q**2 wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1677?\nAnswer: -838.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 66\/551, 40, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4135.42187 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -21*l**2. Let t(r) = -20191*r. Determine h(t(y)).\nAnswer: -8561206101*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/96 - (-7)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 24*m**2 - 73*m - 70. Determine l(-27).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-6\/7))\/b)\/b)\/b)\/(b**(5\/6)\/b)*b**(5\/2)\/(b*b**3*b) assuming b is positive.\nAnswer: b**(-109\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001020101120 - -10?\nAnswer: -10001020101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-7)\/(-98)*4\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*(sqrt(72) + -3) + sqrt(72) - (-3 + sqrt(72) + -3))*1 + 3)**2.\nAnswer: -792*sqrt(2) + 2713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-2*sqrt(216) + sqrt(216))*2)\/sqrt(6))\/(sqrt(84)\/sqrt(28) - (sqrt(12) - 6*(sqrt(12) + sqrt(108) + sqrt(12)))).\nAnswer: 16*sqrt(3)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6321.46, -1.3, 0.01?\nAnswer: 6321.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 + 45*s**2 + 135*s + 43. Let t be l(-19). Solve 0 = -2*a - 4, 5 + 11 = t*z + 2*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 166*h - 2. What is the tens digit of g(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/2 + 81*s**3\/4 + 191*s**2\/4 + 9*s - 19 = 0. What is s?\nAnswer: -38, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4274 divided by 2?\nAnswer: -2137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/96 and -173\/720.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -1343533?\nAnswer: 241835.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6)\/(4432\/36564)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 4579.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(1700) + (-1 + sqrt(1700) - sqrt(1700)))*1 - (sqrt(17) + -6*sqrt(153))*1)**2.\nAnswer: -56*sqrt(17) + 13329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 312443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 83040 + 678?\nAnswer: 83708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*z = d - 81, z = 3. Let t be (4\/3)\/(4\/d). Suppose -2*c + 16 = 4*v, 4*v - 14 = -4*c + t. What is the remainder when 28 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 8*b - 2. Let d be u(-6). What is the highest common factor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46732 - -88833. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -840 + 841. Let g be ((-132)\/m)\/(516\/88 + -6). Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. Suppose 0*k + 5*k - 10 = x. Let -2*l**2 + 2*l + k*l + 3*l - 3*l = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-8)*45\/((-16200)\/4032).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:31 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.398 - -2.398. Put n, 5, -0.102, 1\/9 in decreasing order.\nAnswer: 5, n, 1\/9, -0.102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7) - sqrt(70)\/(sqrt(30)\/sqrt(3))) + 1 + sqrt(7) + -1.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + -2 + 6)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 273)*1362\/12. Let c(k) = r - 13*k**2 - 31099. Let t(o) = 8*o. Calculate c(t(s)).\nAnswer: -832*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34822974.\nAnswer: 2, 3, 829, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**3 + 9*n**2 + 2*n. Let b(r) = -8*r**3 + 10*r**2 + 2*r. Calculate -5*b(o) + 6*s(o).\nAnswer: -2*o**3 + 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303087411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.45 - -0.85. Let s = k + -4. Which is the nearest to 0.1? (a) -1\/9 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8545015 by 571.\nAnswer: 14965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 - 439. Let y(p) = 3930*p**3 - 1188*p**3 + 0*p**2 + p**2. Is y(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116.5 + 116. Let x(m) = m**2 - 9. Let f be x(0). Let z = 9 + f. Which is the closest to 2\/3? (a) 5\/2 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6491*m**2 + 1429*m**2 - 889*m**2.\nAnswer: 7031*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 56 - (538 + -519)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 7*t - 8*t. Calculate the remainder when 32 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41550 divided by 831\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 4. Let a(q) = q**2 + 14*q + 47. Let r be a(-9). What is the second derivative of 0*z - r*z - y*z**4 - z wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 14*s - 6. Suppose 4*r + 164 = s*r. Suppose -3*i + 28 = -2*i. What is the remainder when r is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 bigger than 237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13434 and 17328.43.\nAnswer: 17328.29566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 28 = -3*j - j, -4*m + 3*j - 42 = 0. What is the tens digit of m\/90*-6 - (-2226)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yef when three letters picked without replacement from {f: 1, r: 5, e: 3, y: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -1.5 (c) -3\/5 (d) 4.2 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1132 + 3?\nAnswer: -112d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/1*(-4 - (-4 - -1)). Solve 0 + b = -7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-858)\/(-52))\/33*(-1)\/11?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:11 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:48 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1364\/280 - 7) + 1\/(40\/88).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/45 and -71\/62613370.\nAnswer: 563520330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 16 + -3 + 3. Suppose -r - v = -2*r. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-5))\/u**8*u*u*u\/(u**(2\/21)*u)*u\/(u*(u*u*u*u**(-1\/14)\/u)\/u)*u)**15)**(-4\/5) assuming u is positive.\nAnswer: u**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxjw when four letters picked without replacement from {l: 1, x: 2, v: 3, j: 4, w: 2, g: 3}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964600 divided by 741150?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**5\/2 + 2981*z**4\/6 + 12461*z**3\/6 + 3817*z**2\/2 + 327*z = 0.\nAnswer: -327, -3, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -129, -259, -389, -519, -649, -779?\n\"Answer: -130*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3286.123 years to decades.\nAnswer: 328.6123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3\/(-3) + 2. Let h be (-1 + (-15)\/(-6))*2. Let o be (-2 + 7\/h)*p. What is the nearest to 2\/5 in -3\/7, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5 - -38.5. Let i = 23 - b. What is the second smallest value in -2\/7, i, -0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/65 and -14\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20650, -4 in descending order.\nAnswer: 2, -4, -20650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517*w - 81 = 490*w. Suppose -4*z + 31 = -2*c + 5, 0 = 5*c + 5*z - 10. Let n be -1 + (-4)\/3*c. Solve -5*u = -w*s - 24, n*u - s - 16 = -4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5658 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 5*p + 3*p + (0*p + 258*p + 249*p)*(-2 + 1 + 2))*(3 + 3 - 4)*(-1 + 2 + 3)*(-1 - 2 + 2) as r*p + c and give r.\nAnswer: -4064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 6*k + 3. Let u be l(2). Which is greater: u or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.5 - -63. Let r = -8.2 - k. Let g be (-1 + 2)\/(5\/(-2)). What is the third smallest value in g, -10\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2300\/11040)\/(15\/738)?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/312032 and -13\/9975.\nAnswer: 444645600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68074219783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -21590?\nAnswer: 86360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + sqrt(19) + 2*sqrt(19) + -3 + 3.\nAnswer: -5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*h - 4*h = -147, -4*r = -5*h - 630. Let c(s) = 2*s**3 + 25*s**2 - 13*s + 10. Let j be c(-13). Suppose j = -q + r. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99\/297)\/(((-6)\/8)\/(-3))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33\/305 + 655519\/2135. Let h = w + -308. Let d = 3 - 4. Is h less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0783 - 0.094. Round h to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12068660 from 34.\nAnswer: 12068694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241033 is divided by 5935?\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560 + 162 = 185*q + 1082 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 185225488 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 238.482021 to one decimal place.\nAnswer: 238.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67606, 67603, 67596, 67585?\nAnswer: 67570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2081990.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**2\/11 - 1746720*y\/11 - 127126281600\/11 = 0.\nAnswer: -145560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 28\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(17) + -4 + sqrt(17))**2 + 2 + sqrt(102)\/(sqrt(6)*1*-2).\nAnswer: -33*sqrt(17)\/2 + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325 - -850. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1613\/752 + -45\/47. What is the common denominator of (-79)\/(-948)*(20 + -3 + 2) and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) -2\/13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4740 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 7*z + 9. Let h be v(-6). Suppose 0*b = h*b - 9, -17 = -2*y - 3*b. Find the second derivative of 7*n + y*n - 17*n - 9*n**2 wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 + -2. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from tqztzqtvttqzz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -i - 3*y + 16, -2*i - 2*y + 8 = 0. Suppose -i*r - 7 = -8*r. Let m be (-39)\/91 + 17\/r. Solve -3*f + 7 - 24 = -m*j, 4*j - 3*f - 25 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 4977.\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 56*v + 2576. Let s be a(-46). Solve s = 39*q - 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/44 - 4 - 56\/(-1155)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -498*w - 6968. Let f be t(-14). Solve 0 = -f*a - 3*l + 6*l + 20, 3*a = 3*l + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-3\/4)*m**(-6)\/m*(m**(2\/5))**(2\/67)*(m**(-2\/7))**(-3\/8)*m**(2\/21)\/m**(-2\/7) assuming m is positive.\nAnswer: m**(-33416\/7035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*w - 22. Let o(j) = -w*j + 16*j - 26*j. Let n be o(-3). Round n to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7385 is divided by 240?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 83. Suppose 2*s = -u*z - 3*z + 1006, -5*z + 1519 = 3*s. Suppose 11*g - 653 = s. Calculate the highest common divisor of g and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.6, -4, 0, -5, -1\/64.\nAnswer: -5, -4, -0.6, -1\/64, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42742 is divided by 491.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18 + 3*(-102)\/81.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 29. What is the closest to c in 1, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267834, -267827, -267818, -267807?\nAnswer: -267794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 88*t - 673. Let g be 2\/9 - (-660)\/(-54). What is the remainder when w(7) is divided by g\/(-54) - 266\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:16 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*k**2*y - 3*c**3*k*y - 286079*c**2*k**2*y + 62*c**2*k*y + 12*c**2*y - 2*c*k wrt k?\nAnswer: 4*c**3*y - 572158*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6, b + 19630411 = m + 59230409. Round m to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -85117, 2, -16 in increasing order.\nAnswer: -85117, -16, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**2\/2 - 7*q - 25. Give l(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 - 229*d + 459*d - 231*d to c*d + x and give x.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 4. Let o be s(-2). Let u = 11 + -13. Put u, 1, o in increasing order.\nAnswer: u, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -345 + 344.6. Which is the second biggest value? (a) 9.4 (b) g (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -13. Let s = -75 + 47. Let o = s - l. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(5\/3 - 2). Let i be 1\/(0 + 1) + 2. Let l be 9\/(-7) - (i + -4). What is the smallest value in -3\/2, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 14 - 3)*(2 + 6 - 1 - 3 + 2 - 1 + 2 - 2 - 1 + (3 - 3 - 2)*(1 - 1 - 1) + 2 + 1 - 2) + 1 + 1 + 1)*(-9*i**2 - 5*i**3 + 9*i**2).\nAnswer: 685*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - -2*sqrt(242)*-3)*-6 + 5.\nAnswer: 5 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.096 - 0.196. What is the nearest to q in -13, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53b27 (base 13) in base 5?\nAnswer: 14320123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 5 = 307*w - 472*w + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -776341 and 541.6848?\nAnswer: 776882.6848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48514570.\nAnswer: 2, 5, 13, 157, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 3*y + 6*y + 6. Let c be i(3). Suppose -2*f + 1 = -c. Solve f*q = q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155323*d**5 - 91654*d**2.\nAnswer: -9319380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:18 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2014008 and 95\/21656?\nAnswer: 2014008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 72. Suppose 5*b - o = -5*q - 4, -5*q - 2*b + 25 = 0. Suppose -q*c = u - 28, 3*u = -2*c + c + 14. Solve -6 = -3*w + u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 11*h**2 + 7*h - 13. Let l(p) = 3*p**2 - 18*p + 11. Let q be l(6). Let s be a(q). Calculate the greatest common divisor of s and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4443 + s**2 + 3421 - 8983 - 4210.\nAnswer: s**2 - 14215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 15\/19691?\nAnswer: 15\/19691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsw when three letters picked without replacement from {w: 3, v: 1, s: 7, g: 2, q: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*k + 7, 3*c + 54 = -5*k + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*c + 12, -4*v - 26 = c + 2*c. Let b be 2\/v + 129\/4. What is the highest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - 1. Let g = 12341\/12 - 1029. Do g and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-54)*(-9)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 63?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxddxxxxdxxdxxxxxx. What is prob of picking 1 x and 2 d?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-b - 2 + 2 + (-b - 2 + 2)*(-1 + 1 - 2) - 6*b - 8*b + 3*b)*(5*b**2 - 3*b**2 - 3*b**2).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.98 + -1.42. Let f = -7.8 - q. Which is the third smallest value? (a) -4 (b) 35 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 3 = o. Let p(a) = a + 9. What are the prime factors of p(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078959514?\nAnswer: 2, 539479757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 155. Let i be 14\/(-84) - (-3)\/v. What is the third smallest value in -0.2, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502370602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -10658066 equal to -10658066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4020 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 3*c - 1. Let w be a(4). Suppose 5*m = w*m + 12. Let s be (4\/(-30))\/((-1)\/m). Are 0 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9957, -19919, -29883, -39849, -49817?\nAnswer: -59787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5*k = a + 5, 0 = a - 2*k. Suppose 0 = 6*v - a*v - 64. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 2. Let x be (-4)\/(-10) + 3\/5. Let o be (10\/(-4))\/((-7)\/(-14)). Sort x, w, o in descending order.\nAnswer: x, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 0 - c + 0*c**2 - 1\/12*c**4 + 11\/6*c**3. Let j be a(11). Solve j*f + 8 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 1148*p - 4 - 85*p**4 + p**2 + 1146*p + 2*p**3 in the form l*p + t*p**2 + q*p**3 + a + b*p**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(-2 + 3 - 3)*(-241 - 18*z + 241) in the form c + r*z and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2235*z**4\/4 + 34*z**3 - 3*z**2\/2 + 2*z - 10059. Find the third derivative of c(y) wrt y.\nAnswer: 13410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 0*n**3 - n - 2 - n**3 + 4*n**2. Let h be (18\/12)\/(1\/2). What are the prime factors of b(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + m - 1. Let r(u) be the second derivative of -u**4\/3 + u**3\/6 - 5*u**2\/2 - 6*u. Determine 3*g(h) - r(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -27. What is the greatest common factor of t and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 10*m = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337287 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(c - 4*c - 11 - 3*c).\nAnswer: 6*c + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b - q = -40, 0 = 4*b - 3*q - 51. What is the lowest common multiple of 15\/1 + b\/3 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 4 + -7 + -18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68141901673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 + 22 = 0. Is 25 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3*n**4\/4 + 9*n**3 + 69*n**2\/2 + 45*n - 47. Factor m(o).\nAnswer: 3*(o + 1)*(o + 3)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*r + 2*r. Suppose -k + 5*k = 2*d - r, -4*k - 16 = 0. Let s(h) be the first derivative of -2*h**3\/3 - h**2 + 2*h - 2. Determine s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3783 is divided by 537?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63378231.\nAnswer: 3, 7, 47, 157, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.31 + 562.31. Let m = 561 - a. What is the third smallest value in -74, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 4900 = 15*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72704969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 15 = -195. Solve w = o - 3*x + 7*x, -2*o + 4*x - 18 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:24 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117299 is divided by 76.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6010?\nAnswer: 2, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 63 - 140. Suppose 0*v + 5*k = 5*v - 325, 0 = -3*v + 5*k + o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**5 - 15*y**4 + 5*y**3 + 65*y**2 + 53*y - 5. Let k(i) = i**3 + i**2 + i - 1. Let v(s) = -a(s) + 5*k(s). Find j, given that v(j) = 0.\nAnswer: -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 s when three letters picked without replacement from sseessssees?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 2753\nAnswer: -825.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*3*-5 + 3 + sqrt(1377)*2)*4 + 2.\nAnswer: -468*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*j - 68 + 18, -4*j + 61 = 3*i. Let q be j + -9 + (-1 - 3). Suppose -24 = -u + 2*b, -q*u - 4*b = -b - 99. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 17. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*w**2*y + 134448*w - 26383702*y wrt w.\nAnswer: 46*w*y + 134448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 29*i**2 + 942 + 4*i - 937.\nAnswer: -29*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -66, -44, -22, 0, 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3048*c + 97535. Let g be t(32). Let u = 120 + -1558\/13. What is the closest to g in 35, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9994 + 9998. What is the fourth biggest value in 8, u, 4\/5, 5, -85?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (-161)\/(-35) - (-2)\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 24*l - 4*x = 17, -l + 15 = -6*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, -6, 0.5, 2\/5, -10.6, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -157228108\nAnswer: 1257824864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*r**3 - 1471*r**2 + 2*r + 733*r**2 + 19 + 737*r**2 + 10*r**3 to the form w*r**2 + q*r + v*r**3 + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - q + 3 = 0, 5*t + 2 = q + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/17 - 92*x**2\/17 - 294*x\/17 = 0.\nAnswer: -3, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14\/109, 1\/29, -4?\nAnswer: -14\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 879366888890?\nAnswer: -879366888894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153410.05 - 153410. Let h = 2 - 6. What is the fourth smallest value in 1, h, z, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 - 19*l + 3. Suppose 0*b + 5*y + 24 = 2*b, 2*b - 4 = -5*y. Let x be w(b). What is the highest common factor of x and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*n + 984*n - 539*n - 417*n.\nAnswer: -520*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465117 is divided by 9491.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 5*o**3 + o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -2, -1\/7, 0.17 in increasing order.\nAnswer: -2, -1\/7, 0.17, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**7\/14 + 14*o**6\/15 - o**4\/4 - 7*o**2 + 4*o - 2. Find the third derivative of m(v) wrt v.\nAnswer: -180*v**2 + 672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l + 21*l - 2*l + 25*l + 1. Give k(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 14*y - 6. Let w(z) = -3*z**2 - 27*z + 12. Let i(f) = 5*q(f) + 2*w(f). Calculate the common denominator of i(16) and -19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -23*r + 29. Let u(o) = o + 12. Let f be u(-9). Suppose -50 = f*g + d + 4*d, -2*g - d - 24 = 0. Is n(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 1413. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*v - 492 - 265, 0 = v + 3. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 21. Let s = -7 - k. Let r = 18 - 15. Solve i = r*p - s*i + 35, -p = -3*i + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 + q**2 + 2*q**2 + (-5*q + 0*q + 3*q)*(5*q - 5*q + 6*q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u - 316. Calculate t(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 338370 + -7 - 1\/(-1). Let b = -110151 + y. Suppose 4*p = b - 984213. What is p rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 0.12. Let t = z - -0.9. Let c = t - -4. What is the closest to -1\/3 in 0.5, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*b - 87*b + 247*b - 86*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016251876 to six dps.\nAnswer: -0.001625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 2*t**2 + 0 + 1\/120*t**5 - 1\/24*t**4 + 0*t + 1\/12*t**3. Factor n(b).\nAnswer: (b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 54, 56, 30, -36, -154?\n\"Answer: -2*f**3 + 4*f**2 + 20*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 14*u - 18*u. What is the greatest common factor of u and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(4\/(-1)))\/1*906. Suppose p*i - 902*i - 5660 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1672 by -218.\nAnswer: -836\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -71) + -7 + -16 + 7 + 7 + -3.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-608*k + 4*k**3 - 593*k + 1225*k)*(-3*k + 3 + 5 - 4) + (0 + k + 0)*(-2*k + 2*k - k**3) in the form h*k + o*k**2 + t + j*k**4 + l*k**3 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*h)*(-1 + 2*h**3 + 1) - 45*h**4 - 84*h**4 - 44*h**4 + 5*h**4 - 2*h**4 - h**4 + 2*h**4 - 5*h**4 + 4*h**4.\nAnswer: -178*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-40)\/15))\/(7\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 155*b**3 - 3 - 471*b**3 + 159*b**3 + 153*b**3 to the form f*b**2 + s*b + o*b**3 + d and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -19. Find the second derivative of i**3 - h*i**3 + 819*i - 799*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 - 32*f - 14. Calculate the remainder when 565 is divided by q(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v - 5. What are the prime factors of g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.337 + 0.033?\nAnswer: 196.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 13. Suppose f = -r + 9. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3445 - -3?\nAnswer: 3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45363*z - 27 + 8890*z + 85 - 30 - 29.\nAnswer: -36473*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f - 3 = 0. Suppose 0 = 2*i + f*i - 295. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15) - ((-7)\/28)\/(15\/28)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -913833, -913832, -913831, -913830?\nAnswer: -913829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 8*h**2 + 10*h + 9. Let l be q(-9). Let w = 1.6 - 2. Which is the third smallest value? (a) w (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400620 divided by -100155\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/6 - i. Let j(h) = -2*h**2 - 7*h + 15. Let n be j(-5). Let d(g) = n*g - 22*g - 2*g - 2*g. Give m(d(v)).\nAnswer: -1352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = 146 - 214 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/(2\/54). Let o(f) = f**2 - 3*f - 12. Is o(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 6. Let r = i + -2. Which is the biggest value? (a) 0 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -3*o**5\/80 + 21*o**4\/16 + 11*o**3\/4 + 354*o. What is u in a(u) = 0?\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -37919*v**2 + 75854*v - 23. Give i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, 88.\nAnswer: 3, 4, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 13 + 7 + 3*r**2 + 6.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216827*j**6*o - 31*j**6 + j**2*o - 13*j*o + 135837*j wrt j?\nAnswer: -26019240*j**3*o - 3720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 14. Let c be u(-10). Suppose 2*v = 2*s + 34, -5*v = -s - 2*s - 87. Suppose v = 3*z - 6. Calculate the highest common divisor of z and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2 from -1677140851694.\nAnswer: -1677140851691.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 + -0.3. Let x = c - -5.1000059. What is x rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + k = 6*s + 7*k - 54, s + 74*k + 205 = 93*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + n + 162 = 32, 2*n = l + 34. Let s = 194 + l. What is the greatest common divisor of 190 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-20))\/(6\/(-100)). Suppose -r = -5*t + 2 - 3, 4*t = -c. Let m = -231641 + 231619. Is r less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 11:41 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -1 + (-2*sqrt(1377)*-2 - sqrt(1377)) + 0)**2.\nAnswer: -162*sqrt(17) + 12402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22946861 divided by 6?\nAnswer: 22946861\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 1 = -7*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173748 = -5*p + 5*q + 46577, 2*p + 5*q - 88158 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from {a: 2, o: 4, i: 1, p: 4, v: 2, n: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 m when four letters picked without replacement from {l: 2, m: 3, y: 1, p: 10}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 23*l + 26. Let q be h(-1). Solve 5*b = 3*i + 15, 5*i - q*i - 12 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*k - 21*k + 12*k)*(-1 + 1 - 4*k) in the form y*k + i + s*k**2 and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 8658.\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 2473 + 2473.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/6, 2, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 155 - 4?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 4*f**3 + f**4 - 5*f**3 + (0 + 0 + 2*f)*(0*f**2 + 0*f**2 - f**3).\nAnswer: -f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21245.4295 rounded to the nearest 10?\nAnswer: 21250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*b + 107 - 79 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 71859 = -17*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 14*b - 45. Give s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*r - 4 - 16 = 0, -5*l - r - 30 = 0. Let b = 0.06 - 1.06. What is the biggest value in b, 0, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - 25. Let l = 49 + b. Is 11 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -26*(4\/(-14))\/((-20)\/35). Let l = r - -19. Let i be 4\/l - 10\/15. Solve i = o - 0 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a day?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 230?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**8\/84 - n**5\/12 + 5*n**2\/2 - 3*n. Let f(o) be the first derivative of v(o). Find the third derivative of f(t) wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-19*(-1)\/3. Let g(z) = 2 + 11*z**2 + 2*z**2 + 1 - z**2 - 6*z. Let y be g(4). What is the highest common divisor of x and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2\/2 - n - 2. Let q(k) = -4*k + 3. Determine -3*o(v) - q(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 0 - 8 - 28.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 1566?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -449 + 1043. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 21*n**2 - 9*n + 56. Give k(-22).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 7*v + 48. What is the remainder when 86 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 135, 181, 227, 273, 319?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from ssasaaaa.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:21 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 21. Let v = y + 17. Suppose 0 = v*a - 14 - 1. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:18 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 31, -4, 19014 in decreasing order.\nAnswer: 19014, 31, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-906354)\/255)\/3 - 1. Let h = g + 1186. Let t = h + -2\/85. What is the smallest value in -0.1, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2494 divided by -4236?\nAnswer: 1247\/2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*j - 71, 3*k + 1 + 5 = 0. Let t = -4 + j. Suppose -i = 5*o - 35, -4*o - 4*i = -t*o + 10. Solve 0 = 3*f + 4*y - 1, 3*y - 5 = -4*f + o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c**2 - 9*c**3 + 5*c**2 + 8*c - 1 + 5*c**2 + 10*c**3 to the form q*c**2 + s*c + t*c**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f - 12. Let v be x(-29). Let q = 97 + v. Put q, 0, -3, -4 in increasing order.\nAnswer: -4, -3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r + 296 = 719. Solve -3*n + r = 5*i, 6 = 2*n - i - 0*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -132107*f + 61165547. Determine d(463).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 2*i - 2*i + (-13 + 1 - 1)*(3 - 3 + i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*b**2)*((27 - 2 + 20)*(0 - 3 + 11) + 1 - 5 + 2 + (3 + 1 - 6)*(6 + 0 - 4)).\nAnswer: -708*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 18510?\nAnswer: 111060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-18\/7)\/l)\/l)**(-34))**(5\/2))**9 assuming l is positive.\nAnswer: l**(24480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -827, -928, -1027, -1124?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -2. Suppose -p*m = -3*m. What is the second smallest value in m, 1, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2825 - -2821. Let k(m) = m**3 - 4*m**2 - 4*m - 4. Let t be k(5). What is the closest to t in 12, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (0 - 0))\/(-2). What is the third derivative of 4*h**2 + 0*h**6 - h**6 - 2*h**2 + w*h**6 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(116\/(-20) + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -647, -2624, 0.3.\nAnswer: -2624, -647, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97.8 + -117. Let n = i + 27.2. Which is bigger: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23\/33 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q = 64*q + 86 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-12) + 1\/(-3). Let o(q) = 1 - q**2 + q**z + q**3. Suppose -4*i = y, -3*i + 5*y = 34 - 11. Give o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5\/5 - 183*q**4\/5 - 2337*q**3\/5 - 8097*q**2\/5 - 1188*q = 0.\nAnswer: -45, -11, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3072 and 72.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 411784608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(126)\/(sqrt(324)*-5))\/(sqrt(567) - (sqrt(567)*-2 + sqrt(567)) - sqrt(28)*2))**2.\nAnswer: -sqrt(2)\/105 + 352801\/88200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32.47 and 3?\nAnswer: 35.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 451 + -92. Let c = k - 348. Let r = -1 + 1. Solve -2*i + u + c = r, 4*u + 9 = i - 0*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401104 (base 5) in base 4?\nAnswer: 3011232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*g + 603*g = -6639 - 3124 - 7786 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -503873, 1\/3, 5?\nAnswer: -503873","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from qqqqqffqqqfqqqqqqfq.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6040*g - 15636*g + 1 - 1 - 8832*g)*(3 - 1 - 1) + 0*g - 5*g + 2*g.\nAnswer: -18431*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-8 + 36\/(-8)))*-8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y + 3. Let s be o(3). Suppose 0 = -3*x + 5*u + 31, s*u = x + 4*u - 5. Calculate the lowest common multiple of 3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -11, -0.5, -79.\nAnswer: -79, -11, -0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 18612849*d**2 - 64652*d - 32326. Let b(h) = -4606*h**2 + 16*h + 8. Determine -16163*b(m) - 4*j(m).\nAnswer: -4618*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llbbbbbbbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 57*b**2 + 16*b + 17. What is c(14)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39104647 take away 5?\nAnswer: -39104652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10173.6011 - 10173. Let v = j - 0.95138. Let r = -0.35 - v. Round r to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 5*v + 4*a, 18*v - 26*v - 4*a + 68 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p - 28. What is d(6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -913 divided by 1.\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30400 is divided by 661?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -60. List the prime factors of 37*(w - (-12 + 6)).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.98 + -0.02. Let y = -2555 - -7667\/3. Which is the closest to -1? (a) y (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-4) + (-19 - 0). Let q = 23.19 + -23.19. Is q less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-10)*30\/4. Let k = -3 + h. Let n = 6 - k. Is 4 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 31779 = 23*w. List the prime factors of w.\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (5 - (-7 - -4)) - -45.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -14?\nAnswer: -41\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 2*j - 4. Let o(s) = 3*s**2 - 13*s. Let a(w) = 4*f(w) - o(w). What is a(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 + 3*c**2 - 9*c**2 + 0*c**3 + 3*c**3 + 1 - 5*c**3 to y*c + k*c**2 + r*c**4 + w + j*c**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 11 = 4*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o + 5*i + 19765 = 0, -2*o + 9845 = 5*i. Let x = o + -3170. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*t = -t - 56, 0 = -4*j - 3*t - 33. Let l be (12\/10)\/(j\/(-210)). Suppose 3*c - l - 12 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 940\/105)*9 + 7\/((-245)\/15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e12680 + 3?\nAnswer: 1e12683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - i = -17, 0*w + 4*i + 2 = -2*w. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*o - 833 + 513 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3783 + 1.591.\nAnswer: -3781.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c + 32 - 5*c - c + 107 - 139. Let d(g) be the second derivative of -g**4\/6 + 9*g**2\/2 - 3*g. Give d(b(j)).\nAnswer: -72*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10) - 468\/(-30). Suppose -2*h - a + 1 = 0. Let w(m) = m + 10. Determine w(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49.923 + -59. Let m = s - -9. Round m to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*m + 11, m + 0*m = -1. Let y be 20\/n + 30\/(-18). Let w be 2 + (-11)\/(-10)*-2. What is the nearest to w in y, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 + 6 = 0. Let l be (3 + z)\/(-2)*4. Let a be (579\/2123)\/(1\/(4\/(-12))). What is the biggest value in 1\/4, l, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 35*p - 11. Let z(h) = 4*h**2 + 144*h - 44. Let j(v) = 26*c(v) - 6*z(v). Differentiate j(a) with respect to a.\nAnswer: 4*a + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 4, 19, 5, -24400, -3, -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(96))\/(sqrt(243) - ((sqrt(243) - ((sqrt(243)*6 + sqrt(243) - sqrt(243)) + sqrt(243)) - sqrt(243)) + sqrt(243))))**2.\nAnswer: 32\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Suppose -g*d - 5*l = -14, d + l - 2 = 2. Suppose 0 = d*s - 5 - 4. Solve 9 + s = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -234 + 2104\/9. Let m = 431.323 + -431. Let h = -0.023 + m. Which is the third smallest value? (a) r (b) 5 (c) -1\/7 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a6be6 (base 15) to base 11\nAnswer: -331653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 48 = -3*i, -21 = 3*i - 33. Solve 8*w = 5*w + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -19*p + 512. Calculate the smallest common multiple of b(26) and 274.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 6 + 13*q + 9 + 17*q + 2*q**2 to the form s*q + o*q**2 + r and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1283*z**2 + 1284*z**2 - 7961 + 7966 - 3867*z**2 + 1281*z**2.\nAnswer: -19*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 317 + 315 - 14172*n - 632 to the form h + c*n and give c.\nAnswer: -14172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiggpizgdiziiizzi. Give prob of sequence pi.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.51 (b) 25 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i**2 + 168*i**2 + 43*i**2 + 95*i**2 - 57*i**2.\nAnswer: 282*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 1354, 3041, 5402, 8437?\nAnswer: 12146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 3*a**2 - 3*a - 1. Let f(w) = 2*w**3 + 2*w**2 - 3*w - 1. Determine -3*f(v) + 2*j(v).\nAnswer: -2*v**3 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r - 324. What is x(-51)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -42. What is the remainder when 26 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suesgswsussswssws. Give prob of sequence wg.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2980 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/8 (c) -0.3 (d) 14 (e) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11354353 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3248\/(-210))\/(-29)*(-5)\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (40\/15)\/(8\/840) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-2)\/(-1) + -4). Suppose -4*y + 9*y - 70 = 0. Calculate the remainder when ((40 - -1)*1)\/v is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) + -5*(sqrt(76) + sqrt(76)*-2) - sqrt(76)) + sqrt(76))\/(sqrt(4) - (sqrt(4) - (sqrt(4)*-4*2 - sqrt(4)))).\nAnswer: -7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42930 and 4050?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17126 (base 10) in base 12?\nAnswer: -9ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*x + 5*x + 443 = 0, 2*x - 446 = 5*y. Let s(b) = b + 48. What is the remainder when s(-11) is divided by 1*3*y\/(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 14*q + 12. Suppose 8*t - 11 = 37. Let a be i(t). Let f = 165 - a. What are the prime factors of f?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 1. Let l be s(-1). Suppose 0 = -l*y + 4*y. Factor -1\/3*u**4 + y - 1\/3*u - u**3 - u**2.\nAnswer: -u*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 a when three letters picked without replacement from {a: 11, j: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10878 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 + 21*i**2 + 13*i + 20. What is g(-6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 - 372 = 4*p - 35*g, 2*g = -2*p + 16 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzmmmmmzmmmm. What is prob of sequence zmm?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6367, 6402, 6437, 6472?\n\"Answer: 35*t + 6332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/557023 and 52\/3.\nAnswer: 1671069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20917597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/44)\/f**(-37) assuming f is positive.\nAnswer: f**(1629\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 32. Solve 0 = -n*o + 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 348713, 697418, 1046101, 1394750, 1743353, 2091898?\n\"Answer: -2*v**3 + v**2 + 348716*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**7\/y**(-2\/7))\/((y\/(y\/y**(-3)))\/y**9))**(10\/9))**(-35) assuming y is positive.\nAnswer: y**(-750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (19 - (17 + -3)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 0.257201?\nAnswer: 2.257201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbjj when four letters picked without replacement from bbjbj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/12 + w**3 + 5*w**2\/2 + 5*w. Let b be j(-4). Does 28 divide 59 + ((-6)\/1 - b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/35)\/((-60)\/66). Let i = 10\/7 - h. What is the nearest to 1\/4 in 1\/4, -5, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1856)\/348)\/((-1)\/3 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - -44. Suppose 8*s = 3*s + 3*v + 126, -5*s = -4*v - p. Let n = -17 + 35. Calculate the smallest common multiple of n and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 12062214?\nAnswer: 2\/2010369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 231*y + 14. Is j(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a - a**2 + 4*a**2 - 3*a**2 - 20 - a**2. Let w be x(-15). What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 4 = 2*s. Let u be 70\/(-49)*(182\/70 - 4). Sort -73, -4, u, s in descending order.\nAnswer: u, s, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752233 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - -2 - (-12 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l + n, 14 = 3*l - 4*n. Suppose 4*t - 5*k = -6*k + 16, 0 = -3*t - 2*k + 12. Solve -t*x - 14 = l*q, -5*x - 11 = 3*q + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**7\/2520 + k**5\/60 - k**4\/24 - 2*k**2. Let s(b) be the second derivative of j(b). Differentiate s(v) with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-3) - (3 + -4). Which is greater: s or -29\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -186 * -30573.49.\nAnswer: 5686669.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 340*x**3 - 5*x**2 + 6*x + 1. What are the prime factors of z(2)?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -10 - (-3 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 21 = 35. Sort -0.87, a, -1.\nAnswer: -1, -0.87, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5324 not equal to 5288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 152*t**3 + 858*t**2 + 1268*t + 560.\nAnswer: 2*(t + 1)**2*(t + 4)*(t + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x - 3*f - 17, 3*f - 15 = 3*x. Suppose g + 0*g = -11. Let t = x - g. Is t 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 8:20 PM and 7:53 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -35, -56, -79, -104, -131?\n\"Answer: -j**2 - 16*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -3418.97\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*z - 2, -y = 4*z + 15. Is -27 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 13*o + 336. Which is bigger: 26 or o?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115395945\/61 less than 1891738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s - 12. Let o = 89 - 96. Let x(i) = 16*i - 13. Let a(h) = o*p(h) + 6*x(h). Let z(c) = -c + 1. Give -a(m) + 4*z(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.87, 33?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 855568 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00537 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, and 1 f when three letters picked without replacement from {l: 1, f: 1, p: 2, s: 4, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*x**2 - 2120054*h**3*x - 7*h**2*x**2 - h**2*x - 8*h**2 + 25*h + 4 wrt h?\nAnswer: 12*x**2 - 12720324*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 122, -6, 1.\nAnswer: -6, -5, 1, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:01 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 294388 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 61*g + 509 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 11*v + 4, 3*x + 5*v - 31 = 0. Solve 0 = -4*m - 5*o + 8, -3*m = 3*o + o - x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 > 140241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6\/11, -0.4, -0.81 in decreasing order.\nAnswer: 4, 6\/11, -0.4, -0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1176\/2016)\/((-35)\/25*(-150)\/495)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305501473 to the power of 1\/2, to the nearest integer?\nAnswer: 17479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 61\/2 of a week?\nAnswer: 5124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 10*u**2 + 10*u - 4. Let q be o(9). Let p be (q - 2) + (-17)\/5. Sort p, 2\/3, -2 in descending order.\nAnswer: 2\/3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6034 - 3.767. Which is smaller: t or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -12, 3, -220, -46, -1 in descending order.\nAnswer: 3, -1, -8, -12, -46, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 392.554013 to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11b + -15e?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:43 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 + 2*o + 6. Give s(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22144051 - 51?\nAnswer: 22144000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**4 - 519*f**3 - 3649*f**2.\nAnswer: 168*f - 3114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 32 + 28 = 0. Suppose z - w = 6*z. Is z\/(-2)*422\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19383616 and 1792?\nAnswer: 77534464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 10*l - 12. Let a be s(8). Let j = a - -33. Suppose -o - w + 10 = 0, o - 3 = -2*w + j. What is the highest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 74. What is m(-21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 368.5 and -931.6?\nAnswer: -343294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 6}. What is prob of picking 2 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 16*k**5\/5 + 45*k**4\/4 - 3*k**3 - 465. Factor y(p).\nAnswer: p**2*(p + 3)*(16*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*t**3 - 5 + 3 as x*t + n*t**3 + y*t**2 + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j**2 + j. Let f be u(-4). Which is the biggest value? (a) 4 (b) f (c) -0.19 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -793 or -794?\nAnswer: -794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m + 47*m - 6 + 5*m + 3 to n*m + b and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:23 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.99 - -0.01. Let d = -2 - 2. Let t = -45 + 177\/4. What is the nearest to k in t, d, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109733 is divided by 109713.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1117277527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let j(h) = -h**3 + 7*h + 5. Let w(b) = 6*f(b) - j(b). Suppose 0 = -3*x + 8*x. What is w(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 8. Let f be n(-6). Is 4 a factor of 60\/12*(-1 + f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 855 and 12483?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 3. Let r be o(5). Let k be 1 + r + (1 - -2)*-1. Suppose k = -3*p - 0*p. Solve -4*y + 2*d - 14 = p, -y - d + 1 = -0*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553648 - 692009?\nAnswer: 861639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -60*o**2 + 216*o. Let i(w) = 17*w**2 - 62*w. Calculate -18*i(a) - 5*m(a).\nAnswer: -6*a**2 + 36*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 15*c - 10. What is the first derivative of -18 + 41*r + c - 23 wrt r?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5021683522?\nAnswer: 2, 131, 349, 54919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.66291 and -3.4?\nAnswer: 7.06291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 1. Let i(l) be the second derivative of l**4\/12 - 5*l**3\/6 + l**2\/2 + l. Suppose 3*v - 15 = -0*v. Let r be i(v). Give t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 7, c: 5}. Give prob of sequence hcll.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 478550 a multiple of 1126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011960596?\nAnswer: 2, 19, 13315271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*i = 11, 0 = -i + 3*i - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/(-65))\/((-2)\/(-10)). Let s(r) = d*r - 3*r - 4 - 2 + 5*r. Let m be s(4). Solve -j - m = -t - 4*j, 5*j = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b = -152*b + 282. Let u(i) = -4*i**2 - 2*i + 1. Let c(t) = -5*t**2 - 2*t + 1. Determine b*c(r) - 4*u(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 25326*p\/5 - 430253\/5.\nAnswer: -(p + 17)*(p + 25309)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/(-18) + (-2)\/(-6). What is the first derivative of 6*i - 13*i - 1 + b*i - 3*i**4 wrt i?\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, 0.6, -6\/13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 10*p**2 - 11*p - 6. Let j be c(-6). Let k be 2 + ((-5)\/(-2))\/((-15)\/j). Solve -3*f + k*m - 18 = -2*f, 6 = -5*f - m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4507442310 minus -12?\nAnswer: -4507442298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -169?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16799745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-80)\/(-12))\/((-1)\/3). Let g(r) = 2*r**2 - 22*r + 5. Let u be g(11). Suppose u*o + 3*p = -0*p - 117, 0 = 3*o + 3*p + 75. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267\/8 + 87923\/2632. Let y = 27267\/1316 + c. What is the common denominator of -15\/26 and y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248 + 250. Let o(r) = -r**2 - 1. Let h(u) = 19*u**2 + 9. Let p(y) = i*h(y) + 18*o(y). Let c(l) = -l**2. Determine p(c(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arrrrrrrar. Give prob of sequence raa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 55. Let w = j + -17. Suppose -5*c - 7 = 4*h - 3, w = -2*h - 5*c - 12. Solve -t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30664 + -30643. Calculate the greatest common factor of 49 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-183 - -186) + 2\/(-5) + (-13)\/(-1). What is a in 1521\/5 + 1\/5*a**2 - n*a = 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -526*w**2 + 2*w**4 + 22*w**3 + 257*w**2 + 1 + 265*w**2 to v*w**2 + d*w**3 + y + g*w**4 + o*w and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261401 (base 8) in base 11?\nAnswer: 390205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.8 (b) 0.3 (c) 1.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1794, 114, 1.\nAnswer: -1794, 1, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32675309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(-44)*4\/(-6)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - 155*w**4 - 20338067*w**2 + 20338067*w**2 + (-5 + 4 - 1)*(0*w**4 - w**4 + 0*w**4) in the form d*w**2 + g*w**3 + z + u*w + o*w**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 53 = 73. Calculate the greatest common factor of k and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:43 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 747 + 81 = 6*u. Does 18 divide (-12433)\/(-15) - u\/(-1035)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(88)*-3*2)\/(-6*sqrt(128)).\nAnswer: sqrt(11)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 204. Let k = v - -84.03. What is the smallest value in 2\/11, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.33 - 0.76. Let l = -0.18 + 0.11. Let s = k + l. Which is the second biggest value? (a) -0.5 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 329 + -2321\/7. Which is bigger: u or -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 + n + 1. Let b(g) = -2*g**4 - g**3 - 50*g**2 + 4*g + 4. Let t(w) = -b(w) + 4*o(w). Find the third derivative of t(u) wrt u.\nAnswer: 48*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250328093 to the power of 1\/2, to the nearest integer?\nAnswer: 15822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173067 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 - 25. Let n = -78994.066 + 79070. Let i = a - n. What is i rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -6. Let x be u + 4*(-2)\/(-4). Sort x, -5, 5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -1*sqrt(68)) + (sqrt(816)\/sqrt(3) + sqrt(17))**2 + (sqrt(2448) + 0 + sqrt(2448) - sqrt(2448)) + sqrt(2448) + (sqrt(153) + -1)**2.\nAnswer: 22*sqrt(17) + 579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -q + 3, 0 = -2*q - 3*n - 9. Is q\/(-2 + 4) + 510\/15 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 786, 3525, 8090, 14481, 22698, 32741, 44610?\nAnswer: 58305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 - 109. Put -5, -211, u in descending order.\nAnswer: u, -5, -211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 7*l. Let c be i(6). Let y(j) = -j**3 + 6*j**2 + 2*j - 9. Let s be y(c). Let n be 2 - (14\/(-6) - -3). Sort -4, s, n.\nAnswer: -4, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-9))\/1 - -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 15\/9)*(-2 + 8). Let z(o) = 14*o + 51. What is z(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 7*o - 10. What is q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*j + 14. Let v(c) = 5*c**3 + 2*c**2 + 2 - 2*c**3 + 2*c**3 + 3*c - j*c**3. Let z(q) = q**2 + q + 1. Give -v(w) + 3*z(w).\nAnswer: -2*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0 - 2*g**3 - 2*g + 1\/6*g**4 + 9*g**2. Factor a(b).\nAnswer: 2*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -395.09 + 398. Let l = 2.8385 - p. What is l rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -678*b**5 - 990*b**2?\nAnswer: -40680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43338237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652, 30173, 81540, 153443, 245876, 358833, 492308?\nAnswer: 646295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**4 - 225*h**3*s**2 - 258*h**3*s - 3*h**2*s**2 + h**2*s + 13*h**2 + 1204*s**2 wrt h.\nAnswer: 96*h - 1350*s**2 - 1548*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-28)*(-12)\/(108\/(-63))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19833811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63.65 - -44.6. Let q = -14.8 - c. Let m = -1.25 + q. Put m, -5\/4, 1\/2, -1\/2 in decreasing order.\nAnswer: m, 1\/2, -1\/2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 + 20303\/116. What is the nearest to 0 in x, 4, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -68 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from {g: 5, k: 2, o: 7}?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -71*r**2 - 1. Calculate c(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 12. Let z(j) = 1. Let d(n) = 3*l(n) + 30*z(n). Let m be d(-7). Let x = m + -29. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 5*p. Let m be d(-5). Suppose -60 = -4*a + h, -3*h = 5*a - m*h - 75. Calculate the highest common factor of 6 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(-4)\/9. Let r = -139 + 206. Let h = r - 67.2. Which is the closest to 3? (a) h (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1640\/13 - 126. Let d = 1.2 + -0.9. Sort d, 2\/7, t in ascending order.\nAnswer: t, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*-10 - 0. Suppose -57 = -3*u + f. What is the greatest common factor of 264 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 19 - 5) + (-6 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Find the second derivative of 0*r + c*r - 4*r - r**3 - 4*r**3 wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + -8 + 3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*c - 7 - 41 = 0, 0 = q - 3*c + 1. Let d(y) = y**3 - 2*y**2 + 2*y + 5. What is the least common multiple of d(3) and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 36 + -8538 + 8508.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 8*c = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -922*z - 27. Let w be s(1). Round w to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -14*w**3 - 55*w**2 - 65*w + 73. Let r(u) = -8*u**3 - 27*u**2 - 34*u + 37. Let s(p) = 3*a(p) - 5*r(p). What is s(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -35*k - 224000000. Round k to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1023, -5, 3, -1 in decreasing order.\nAnswer: 3, -1, -5, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03837705 to 4 dps.\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 5*g**2. Let d be o(-5). Suppose -4*s + 0*z = -5*z - 73, s - 27 = 3*z. Let t = s - 9. Solve -4*i + 0*b - 16 = 4*b, t*b + 9 = d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + 5 + -14 - -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 1\/63?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 1510 in descending order.\nAnswer: 1510, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 122, 179, 234, 287?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 31505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*g*i - g*s**2 - 13*g - 12*i*s**2 - 2553*i + 20962*s**4 wrt s.\nAnswer: -2*g*s - 24*i*s + 83848*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 14) to base 16.\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 574804171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*t - 146*t = -234 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/5 - 66*v**2 - 5445*v = 0 for v.\nAnswer: -165, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7477.71 to the nearest one hundred.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2677\/7 - 29223\/77. What is the common denominator of t and (46\/(-22))\/(1*-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584434227.\nAnswer: 3, 13, 31, 157, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7340 + 7353. Solve 5*x = y + t, 5*y - 9*y = -3*x + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-141)\/(-47).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in -1, 38, -8\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, 32, 89, 172, 287, 440, 637, 884?\n\"Answer: z**3 + 4*z**2 + 18*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3440693, 6881486, 10322279, 13763072, 17203865?\nAnswer: 20644658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11608, -11699, -11850, -12061, -12332, -12663?\n\"Answer: -30*v**2 - v - 11577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 4*i + 2*i)*(26*i**2 - 4*i**2 + 5*i**2)*(22 - 25 + 14) as b*i**2 + r*i + w*i**3 + o and give b.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*r - 145*r = 66*r + 78*r - 8980 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -76?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -54, -97, -148, -207?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 36 = -i. Suppose 0 = 4*h + p + 9, -3*p + i = -5*h - 1. Let t be (-5)\/6*8*21\/h. What is the greatest common factor of t and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-294)\/(-4) + 4\/(-8). Let z = o + -13. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 7*z**2 - 28*z - 23. What is the units digit of r(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b4b3 + -8?\nAnswer: -9b4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -153749, -25, -4 in descending order.\nAnswer: 3, -1, -4, -25, -153749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821 + 1634 - 813 - 9*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 15. Suppose -d*t + 168 = -13*t. Is 34 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*k + 19, 2*k = 2*d - d - 7. Put -2\/15, 0, d in descending order.\nAnswer: 0, -2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -340*b**2 + 2432*b - 364 = 0.\nAnswer: 13\/85, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758863.\nAnswer: 1758863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3055354 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d. Let a be h(2). Let n = 7 - a. What is the highest common factor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -212829, -425704, -638579, -851454?\n\"Answer: -212875*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -375*r**3 + 625*r**2 + 75*r**4 - r**5 - 4*r**5 + 5*r - 5*r.\nAnswer: -5*r**2*(r - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 127 = 78*o - 99. Solve i + 5*l - 26 = 0, 4 = -o*i - 25*l + 29*l for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*c - 2*r, 96 = 3*c + 3*r - 3. Calculate the remainder when c is divided by (2 - 28)*(-7)\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6384055 divided by -12?\nAnswer: 6384055\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppspsrhpsqsphspps. Give prob of picking 1 p, 1 s, and 1 q.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n - 10. Let b be 29\/3 - 32\/48. Suppose b*s = 4*s - 2*m + 26, -5*s + 2*m = -34. Suppose 2*l = -4*g - 30, -5*g + s = -4*l - 2. What is y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.0578.\nAnswer: -0.02312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4620 by -60.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**6\/30 - 7*v**5\/60 - v**4\/8 + 11*v**2 - 123*v. Let z(y) be the first derivative of f(y). Solve z(q) = 0.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -12493\nAnswer: 1\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 361*i + 6065. Let z be a(16). Solve -21*o + 12 = -z*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/300 - 5*a**4\/12 + 125*a**3\/6 + a**2 + 209*a. Factor f(n).\nAnswer: (n - 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(209)*1)\/(sqrt(704) + sqrt(704)*1))**2.\nAnswer: 171\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -405*i + 418*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4328.38 and -235176.\nAnswer: -230847.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(103725\/20)*(-51)\/(-272). Is 0 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.20357 - -0.31998. Round t to 3 dps.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/120 + v**4\/12 + 7*v**3\/6 + v**2 - 98. Determine u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - (-42)\/(-12). What is the second smallest value in -4, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -15. Suppose -6*y + 5*y + 14 = -4*v, 0 = 5*y - 2*v - 34. What is the remainder when 6\/(-3) - -2 - q is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**4\/12 + 2*u**3\/3 - 1077*u**2. Give r(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, e: 4, i: 1, s: 1, u: 4}. What is prob of sequence iusr?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigggyyihi. Give prob of picking 1 y and 1 i.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*f**4 + 0)*(-1 + 1 + 2*f) + 0*f**5 + 2*f**5 + 4*f**5 + 0*f + 0*f - f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -375 - (0 + 1)*-5. Let h = 374 + d. Solve -20 - 2 = -h*k - 2*a, 0 = -k - 2*a + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.3, -9, 16, 185.4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -79. What is the remainder when ((-20)\/(-3))\/(-4)*(-51 - q) is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 79*k**2 + 51*k + 2317. Let g be m(80). What is the biggest value in 2\/5, -4\/3, g, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 1048928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 2\/105*u**7 + 0*u + 1\/3*u**3 + 2\/5*u**5 + 17\/120*u**6 + 0 - 8*u**2 + 13\/24*u**4. Factor v(h).\nAnswer: (h + 1)**2*(h + 2)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q - 72. Determine k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 37*u**5\/60 - u**4\/24 + u**3\/6 - 2*u**2. Is v(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 6*h**2 - 7*h**2 + 16*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from qkqqtqkgtdgtqgdqqhk.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6479, -26331, -59547, -106121, -166047, -239319?\n\"Answer: r**3 - 6688*r**2 + 205*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8370)\/(-4185))\/((2\/(-2))\/(1*-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -575, -603?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -48. Let m(a) = 17*a**2 - 8*a - 23. Is m(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(4\/9)*g**(2\/3)\/g*(g*g\/g**(-5))\/g*(g**(3\/2)\/g)\/g)\/((g**(2\/3))**(1\/23))**(-16\/3) assuming g is positive.\nAnswer: g**(811\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 2}. What is prob of picking 1 d and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - m = -71, 4*o + m = 3*o - 13. Let r be (-2)\/6 + o\/21. Sort 3\/5, -2\/21, r in increasing order.\nAnswer: r, -2\/21, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 1. Let p(d) = -d**3 + 5*d + 5. Let c(u) = u**2 + 3*u - 4. Let f be c(-4). Suppose 2 = 2*r - f. Determine r*p(s) + 4*o(s).\nAnswer: -s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 71 + (5 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Suppose -c + 4*c + 6 = 0, -2*r + 10 = -3*c. Suppose 0 = -r*i + g + 31. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60.7 + -61. Which is the third smallest value? (a) -3 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 + (0 - 1) - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + 3.94. Let p = -0.7 + 0.4. Let a = 1.435 + -6.435. What is the second biggest value in p, a, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + t**2 + 8*t + 8. Let i(x) = -x**3 + 4*x**2 - 5. Let c be i(3). Let l(j) = j**3 - 2*j**2 - 7*j - 8. Let h(f) = c*l(f) + 3*d(f). Calculate h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 + -5.02. Let w = x + 0.62. What is the closest to w in 0.4, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 - 0.07\nAnswer: -62.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4889 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*z + 216. Let l(v) = -v**2 + 6*v - 3. Let o be l(6). Let t be 0*1\/o + 12. Calculate the greatest common divisor of z and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 0, 3, -3.\nAnswer: -3, 0, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23987423 to the nearest integer?\nAnswer: 4898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -38*h**2 + 1197*h - 630. Calculate k(31).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 446 = -5*y, -2*y - 584 = 4*g - 6*y. Let n = g - -418. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 697\/230497 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmy when three letters picked without replacement from {y: 2, p: 1, e: 6, m: 1, n: 1, v: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 1 + 3*g**2 + 3*g**3 + 16*g**4 + 10*g**4 - 28*g**4 + 25*g**3 to h*g**4 + d + t*g + i*g**2 + r*g**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.567436 millennia?\nAnswer: 25.67436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Let x be (18\/(-21))\/((-5)\/35). Suppose 16*q - x*q = 90. Solve 0*b - h*z = -b + q, 0 = -4*b - z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169304358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 532.3147 millilitres?\nAnswer: 0.5323147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.32*-1978\nAnswer: -632.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18356417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -13.5. Suppose -3*m = 6, 0 = -4*x + 5*m - 9 - 29. Let z be ((-2)\/x*1)\/(-1). Which is the closest to z? (a) i (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - 0 - (34 + -40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -66 + 50\/9*t**3 + 40\/3*t - 85\/6*t**2 - 5\/12*t**4. Solve j(r) = 0 for r.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0, -0.3, -1\/4, 113?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -19564*r + 603. Let y(f) = 65*f - 2. Calculate 2*g(k) + 603*y(k).\nAnswer: 67*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2 - 79226*o + 2691372 = 0.\nAnswer: 34, 39579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 67. Let a be 6\/4*f\/(-18). Suppose v = 3*v + 5*t - 23, -a*v = -t - 71. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -7, 56, -40, -144 in increasing order.\nAnswer: -144, -40, -7, 22, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/99 and -49\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c**2 - 4*c)*(0*c - 3*c + 2*c)*(3 - 5 + 1)*(-2 + 2 - 3*c).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2501 and 96136.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 797091 divided by 80.\nAnswer: 797091\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1442 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*m = 2*m - 8, 5*m - 10 = -5*y. Let d = -0.2 - 17.8. Let l = -17 - d. Which is the second biggest value? (a) l (b) y (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302194 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2952\/162 + -18)\/(4 + 1\/(-1))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18285398233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 9 + 5*k - 2*k - 2. Let c be j(-4). Solve -c*t + 2 = -s - 2*t, s - 10 = -5*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177317 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/18 and -173\/37212.\nAnswer: 111636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Let b = 257337\/56 + -4595. Let h = b + 1\/14. What is the closest to 0 in h, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -51*(-7 - -6)*7\/3. Let x = 126 - g. Which is bigger: x or -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0 (b) 16 (c) 0.1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47396 divided by -48?\nAnswer: 11849\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1501 + -1?\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*2*1. Let a = -2.4 + 6.4. Put d, -10, a in descending order.\nAnswer: a, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73367009 to the power of 1\/2, to the nearest integer?\nAnswer: 8565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 + 98292515*c**3 - 357849127*c wrt c.\nAnswer: 40*c**3 + 589755090*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by -3908?\nAnswer: -43\/1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -2\/3*g**3 + 0*g**2 + 7 + g. Let t(j) be the third derivative of j**5\/30 - j**3\/6 + 2*j**2. Give -7*t(r) - 6*x(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 7598075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*l - 7*l + 1 = 0, -17 = -3*f + 4*l. Solve -j = -4*j + f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -15265\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 - (-3 - (2 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 673\/4 + -168. Which is the nearest to -0.2? (a) 19\/7 (b) 2\/17 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85097 divided by -15\nAnswer: 85097\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-28) + (-24)\/(-14). Let t(z) = -z**2 + 6 - 3*z + 16*z + 0*z**a. Is 16 a factor of t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = b + 1, 5*h - 19 = 4*b. Suppose -14 = 2*p + 4*n, 0 = -h*p - 3*n + 2*n - 6. Let y be p\/(-10)*4\/(-3). What is the smallest value in 0.1, y, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*t + 667, -t - 2*w = t - 682. Suppose t - 94 = 2*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/10*2025\/945?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 592*t**2 + 465*t + 2357. Is z(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20120101 (base 4) to base 11\nAnswer: 23871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + 488. List the prime factors of l.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/30 and 74\/903.\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 10 + 107 - (-14 - -30 - (-4 - -18)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2440)\/1098*6\/5.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 20*h - 8. Let k be r(21). Let m be (-56)\/(-980)*(-5)\/k. Let t = -1871\/1820 + m. Find the common denominator of 37\/42 and t.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqqqhdh. Give prob of picking 1 f and 2 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2156.987 - -0.5.\nAnswer: -2156.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1767987)\/109135*1\/((-6)\/(-20)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 647376 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 194.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n - 919. Let g be z(-42). Solve 4*w - 4*m - g = 7, -3*w + 8 = -4*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1896 - -0.0896. Let k = 0.2 - 0.15. Let l = -1\/6 - -7\/24. Put k, l, y in increasing order.\nAnswer: y, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)\/z**4)\/(z**(-6\/7)\/z**(-7)))\/((z**(-2\/9))**(-9)\/(z**8*z\/(z\/(z*z**(-6)*z)))) assuming z is positive.\nAnswer: z**(-107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -2*a - 17 - 46, -2*a - 8 = -2*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7669950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22595\/3 - 7688. Let m = w + 155. Let d = 0.15 - 0.05. Which is the nearest to 1? (a) -2\/5 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 - 6*w + 7. Let i be j(6). Let b be (-12)\/(-42) + 26\/i. Factor 4*t + t**2 + 2 - 3*t + 0 - b*t.\nAnswer: (t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 80, 93, 112, 137, 168, 205?\n\"Answer: 3*x**2 + 4*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 9017668317585\nAnswer: 9017668317590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i - 6. Let v(u) = -8*u - 7. Let o = -26 - 362. Let d = o - -395. What is d*z(m) - 6*v(m)?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66.74 + -68. Let z = -1.2600604 - j. Round z to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + 2*r**2 - 1. Suppose 3*n - 2*o + 11 + 5 = 0, 0 = -4*o + 8. Let b(z) = -z**3 - z**2. Calculate n*b(d) - i(d).\nAnswer: d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 1\/2 (c) 0.2 (d) -5 (e) 4 (f) -8.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75571944 by 25190648.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - v**2 - 8 - 2 in the form a + s*v + i*v**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177746361 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113520, 224225, 332116, 437193, 539456, 638905, 735540?\nAnswer: 829361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74.9 + -79.81. Let y = -0.04 + 0.13. Let f = p - y. Which is the nearest to -2\/5? (a) f (b) 3\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 447471*f**5 - 747083*f wrt f?\nAnswer: 8949420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 174*y - 147884. Let q(t) = -2*t. Determine j(q(v)).\nAnswer: -348*v - 147884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {f: 1, q: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, e: 3, o: 11}. Give prob of picking 2 k.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9482.56mm to kilometers.\nAnswer: 0.00948256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u - 8*u + 0*u + (-1 + 2*u + 1)*(0 - 4 + 3) + 7*u - 3*u - 3*u)*(-1 - 6*u**4 + 1).\nAnswer: 120*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -31*j + 29*j. Suppose -g + u - 1 = 1, j*u - 25 = 0. Put -0.2, g, -0.137 in descending order.\nAnswer: g, -0.137, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535075.\nAnswer: 5, 17, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*x - 21, 3*p + 4*x = 5*x - 37. Let l be -18*((-28)\/p + -3). Let r = 32 - l. Calculate the greatest common divisor of 80 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/45 and 7\/75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (69\/(-138))\/(0 - 1\/198). Let k be (-13959022)\/n - 2\/(-9). What is k rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/((s\/(s*s**(-10)))\/s))*s*s**(2\/115) assuming s is positive.\nAnswer: s**(1267\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/(a\/a**(-10)))**(-1\/8)\/((a**(-1\/5)*a)**(-9\/13))**(1\/11) assuming a is positive.\nAnswer: a**(5293\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y. Let b(j) = -10*j**2. Determine p(b(q)).\nAnswer: 260*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.91 times 32157?\nAnswer: 350832.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 69.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55911346.\nAnswer: 2, 661, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*j + 1. Let a = 17 + j. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 0 + -1 + -1 + 2. Find the first derivative of -8 + u - 8725*h**2 + 8739*h**2 wrt h.\nAnswer: 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.77943mm to meters.\nAnswer: 0.04777943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 4148?\nAnswer: 1\/4148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2338, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5052 + -1976. Suppose 4*b + 916 - w = 4*m, -5*b + 2692 = 3*m. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1728148401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 346, 357, 368?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)*-4 + 1)*6)**2 + (1 + -4*(-3 + sqrt(320)))**2 + 3.\nAnswer: -3136*sqrt(5) + 189648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**3 - 2*c**3 + 5 + 6*c**3 with respect to c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158802 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -578*b**4*k**3 + 11*b*k**3 + 22*k**3 - 1204*k wrt b?\nAnswer: -2312*b**3*k**3 + 11*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5)\/x**4)\/((x\/(x\/x**(-1\/6)))\/((x*x**8)\/x)))**18 assuming x is positive.\nAnswer: x**(357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 41337*0.1\nAnswer: 4133.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000224607 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let r(c) = -1099*c**2. Determine r(j(p)).\nAnswer: -4396*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3852, 3837, 3810, 3771, 3720, 3657, 3582?\n\"Answer: -6*u**2 + 3*u + 3855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 8*z**2 - 9*z - 13. Let s be o(-7). Which is smaller: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -42. Sort -2, -4, -3, -28, k.\nAnswer: -28, -4, -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104198582 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*4*5*-4.\nAnswer: -720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 1. Calculate b(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 5*p**2 - 3*p - 2. Let v be s(4). Calculate the highest common divisor of 20 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:11 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/19, 5, -0.1 in descending order.\nAnswer: 5, -0.1, -23\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 2*m**4 + 2*m**4 + (-4*m**2 - m**3 + 4*m**2)*(-m - 2*m + 2*m))*(-4*m + 4*m - m).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 4000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 - 2*m - 2. Let a = 4 - 4. Let x(k) = -k**2 + 0*k**2 + 0*k + a*k. Calculate -h(v) + 4*x(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 11 = n, -3*n + 5*w + 0*w = -43. Solve y = n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3020, -3018, -3016, -3014, -3012, -3010?\nAnswer: -3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 2*o**2 + 2*o**2 + (-2*o**2 - 2*o**2 + 2*o**2)*(-3*o + 2*o**2 + 3*o) + 5*o**4 - 6*o**4 - 2*o**4 + (2*o**4 + 3*o**4 - 2*o**4)*(-2 + 1 + 3).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Suppose -6 = 3*s, 3*v + 12 = 6*v - k*s. Suppose 4*b - 2*g + 6*g - 96 = 0, -v*b - 3*g = -44. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1359, 1748, 2137?\nAnswer: 2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/((-5)\/(160\/(-12))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72146275 to the nearest integer?\nAnswer: 8494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*t**2 - 20*t**3 + 18*t**2 + 8*t**2 - 6*t**2 wrt t.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6533204 (base 8) to base 7.\nAnswer: 20610652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4186756 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 4*v + 28. What is the remainder when n(-3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*t - 13*t**3 - 5 - t**2 + t + 0 as d*t**3 + u*t**2 + o + a*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190*b*k**5 + 2*b*k**3 - 8*b*k**2 - b*k - k**6 + 7*k**2 wrt k.\nAnswer: 11400*b*k**2 + 12*b - 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 37883875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*i - 344. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31111, 30902, 30693, 30484, 30275, 30066?\n\"Answer: -209*d + 31320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k + 22. Let d = -50 - -64. Let g(t) = 50*t - 110. Let b(z) = d*f(z) + 3*g(z). What is the units digit of b(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) 1.048 (c) 30\/61 (d) 0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188 and 102.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 149160, -0.01 in decreasing order.\nAnswer: 149160, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 45. Let z = d + -5. Solve -q = 2*c + 3*c + 17, -q + z*c + 19 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.942*-0.2.\nAnswer: 0.9884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463422819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 952*v + 37293. Give f(37).\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 + 0*i + 3 - i. Let f = 29 - 26. Determine s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = 4*s - 100. Let v = s + 86. What is the remainder when 59 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 8*w**2 - w - 31. Let g(y) = 3*y**2 - y. Determine 2*g(s) + v(s).\nAnswer: -2*s**3 - 2*s**2 - 3*s - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 449856 and 12.\nAnswer: 449856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2220 and 83805?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2163*f**3 - 2*f - 5. Let j(i) = 1082*i**3 + i + 3. Give 5*c(r) + 9*j(r).\nAnswer: -1077*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 6*w - 2. Let b be v(6). Let u be 9\/(-30)*b*565. Suppose 2*y + u = 5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/2 + 151*y**4 - 3135*y**3 - 27586*y**2 - 90331*y\/2 - 20865 = 0.\nAnswer: -321, -5, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104301 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2 - 11 + 17*p**3 + 16*p**3 + p**2 - 32*p**3. What is the tens digit of b(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15b63a + 2d?\nAnswer: -15b60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 66*i + 2 + 4 + 63*i - 127*i - 5. Let j = -3 + 2. Give t(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 231 (b) 3.486 (c) -0.3 (d) -1\/3 (e) 4\/7 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*f + 5477094 = -276828. Is 112 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, o: 1, p: 2, y: 2}. Give prob of sequence tty.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 4)\/((52\/(-5))\/(-1 + (-12)\/(-20)))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 0*q + 0*q**4 - 2*q**4 - 1 - 2*q + 2*q**3 - q**2 to the form m*q + y + v*q**2 + t*q**4 + p*q**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6188 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:11 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i**4 - 2*i**2 - 12*i - 22. Let n(g) = g**4 + 2*g + 1. Let c(j) = -6*n(j) - y(j). Find the third derivative of c(o) wrt o.\nAnswer: -528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3) + 16\/2. Suppose -q - 5*w + 1 = q, -q + l = w. What is the first derivative of -4 + q*j**3 - 9*j + 9*j + 0*j wrt j?\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6975 + 1.5775. Which is the nearest to j? (a) -3 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62930 + -42440. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204893928 divided by 334794\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - v + 3 = 0, 22*j - 17*j + 5*v - 20 = 0. Which is greater: j or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 28, 3, -5 in descending order.\nAnswer: 28, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t**2 + 1)*(4*t**2 - t**2 - 2*t**2) - 59 + 18010*t**4 - 54 + 170 - 57.\nAnswer: 18011*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6032910 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j - 23. Calculate h(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtts when four letters picked without replacement from ttqqqsyqtqyrvqtyrss?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 - 144 = -3*d. Suppose d = 4*v - 228. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 58?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000032268 to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -429, -3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**3 - 637*m**2 + 6*m - 260. What is j(49)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -74) + (-11670)\/160.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102895 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:14 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 1, 4, 5, 2 in decreasing order.\nAnswer: 5, 4, 2, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - ((33 - 11) + (-15 - -2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5416751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 153*k + 2605. Let j be t(-42). Which is greater: j or -3819?\nAnswer: -3819","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.476 - 0.024. Let z = p + 6.6. What is z rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 343 + 472 = 0. Let v = i + 229. Which is smaller: 68 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 3*v**2 - 38*v - 163. Calculate r(-10).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from vooyovoyoovyoyv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 88538404.5843.\nAnswer: -88538404.7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.349 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4549794ml in litres?\nAnswer: 0.0004549794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 7:15 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352) + -2*sqrt(352))\/(sqrt(4)\/sqrt(32) + sqrt(2)).\nAnswer: -16*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184204, -184207, -184210?\nAnswer: -184213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 4. Let j(d) = -d**3 - 14*d**2 - 46*d + 12. Let u be j(-8). Let o(q) = -q - 5. Give u*o(r) + 5*s(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249 - 120. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqooyqyayq. What is prob of sequence oa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - 2*g)*(-35 + 1 + 159)*(-10 - 25 + 11).\nAnswer: 6000*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + 189\/144*-4. Put q, -1599, 5 in decreasing order.\nAnswer: 5, q, -1599","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596971044?\nAnswer: 2, 3, 16582529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7211 - -57605\/8. What is the common denominator of 1 - 265\/30 - 7 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 13506 = -v + 13510, -5*q = -4*v - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2664*v**2 + v - 55. Let t(s) = -15*s. Determine j(t(z)).\nAnswer: 599400*z**2 - 15*z - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 2, n: 3, y: 12}. What is prob of sequence yyv?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.66605 rounded to 2 decimal places?\nAnswer: -5.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1559 + -70. List the prime factors of i.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 245, -3, 43\/4, 0.1, -14?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -16*m**2 - 9*m + 10. Let a be c(1). Let w(x) = x + 16. What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 4, k: 1, r: 3, d: 2, z: 1}. What is prob of sequence yy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 11*d - 14. Let h be s(10). Let i = -23 + h. Let q = i - -67. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*u = 27, 27 = -3*v + 2*u - 5*u. Let p = v - -22. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 0.4, -0.5, -0.1, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -3 - -7 - 1. Suppose -t*p + q = 5*q - 4380, 3525 = 4*p - q. Suppose -5*g - 175 + p = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x + 25. Let m = -0.02 + 4.02. Let y = 109.7 - 110. Which is the third smallest value? (a) m (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 + -3 + 5. What is the tens digit of v\/((-29)\/10 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*i + 301*i - 186 = 5*x, 5*i = 45. Which is the closest to x? (a) -1\/9 (b) 2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3645809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4930, -19938, -45260, -80890, -126822?\n\"Answer: a**3 - 5163*a**2 + 474*a - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-22)\/(-4))*2. Let h = 13 + f. Let d be h\/(-27) - 40\/(-18). Solve 24 = -4*o - 5*u + 2*u, -u + 2 = -d*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2552 = -2*w - 2*w. Let b = -4454\/7 + w. Determine x, given that 2\/7*x**5 + 8\/7*x**2 + 2\/7*x + 0 + b*x**3 + 8\/7*x**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + (sqrt(180)*-2 - sqrt(180))**2 - sqrt(180))*-3 + -2.\nAnswer: -4869 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - h. Suppose 25 = 2*b + 3. Let g(n) = 1. Let x(o) = -7*o**2 - 2*o - 1. Let z(c) = -g(c) - x(c). What is b*m(d) + 6*z(d)?\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + 3106\/7940. Let c = o - 261191\/3970. Let v = c - -66. Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1.4 (b) -0.3 (c) 1 (d) -3\/29 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(84)*2 + sqrt(84) - sqrt(84)))\/sqrt(12))**2 + 4 + (0 + sqrt(847) - sqrt(847)).\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 120. Suppose -4*w + 18 = -o*w. Solve 4*k + k - w = f, -3*k + 23 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2433412.8 - 2432712.80108. Let q = 700 - i. Round q to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4 - 16*b**3 - 10*b**2 + 100*b = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32b3 + 3?\nAnswer: -32b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.1509 millilitres in litres?\nAnswer: 0.0481509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(343) + sqrt(343)*-1 + sqrt(343) + 1 + (sqrt(343) + -2*sqrt(343))*5)**2).\nAnswer: -32940 + 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 64*f - 63*f - 3*m, -5*f + 4*m - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 17*t + 6. Let n(j) = 17*j + 8. Calculate 4*n(y) - 5*x(y).\nAnswer: -17*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/36)\/(-2 + 203\/105). Sort 4, y, -2, -46, 0 in increasing order.\nAnswer: -46, y, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23649, 47282, 70915, 94548, 118181?\nAnswer: 141814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t*t**(2\/11)*t)\/(t*t**(1\/2)\/t)*(t\/(t\/(t*t*t**(-6)\/t)*t))**0 assuming t is positive.\nAnswer: t**(125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 55*t**3 + 17*t**3 + 5*t**2.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*u + 276*u = -18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337858264 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*1*sqrt(300).\nAnswer: -60*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f - 4. Suppose -6*v - 206 = -332. What is the remainder when o(4) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1039 or 1044?\nAnswer: 1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31390*f + 3 + 15853*f + 15521*f.\nAnswer: -16*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -9.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(132) + (sqrt(132) + (sqrt(132) - 1*sqrt(132))*4 - sqrt(132))))\/(-2*sqrt(1728)*-1) + 0.\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and -8*(-24 + (-14 - -19)).\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 + 2713*k**2 - 10853*k\/2 + 8140\/3.\nAnswer: (k - 1)**2*(k + 16280)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + h**3 + 1 + (2*h - 3*h + 3*h)*(2*h**2 - 7*h**2 - 4*h**2) - h**2 + h**2 + 10*h**3 - 2*h - 2*h**3 + 2*h.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-152)\/(-16) + -8)\/((36\/(-40))\/3). Suppose 0 = -6*y + y + 15. Put y, c, 0 in ascending order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) 133\/10 (c) -4 (d) -0.026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-341)*88\/(-336)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274874 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9707.\nAnswer: 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 + (0 - -4))\/1)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j - 201. Let y be k(-13). Let s(z) = z**2 + 14*z - 71. What is the units digit of s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) - (-11104)\/1680 - 1*6?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 670 in decreasing order.\nAnswer: 670, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.091019 to 2 dps.\nAnswer: 152.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*m + 16, -5*m - 11 - 9 = 3*o. Suppose 0 - 2\/7*g**4 + 2\/7*g**2 + 0*g + o*g**3 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 106 - 18. Let v = 11180\/627 + 1\/418. Find the common denominator of 2*((-142)\/p - 3) and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*k - 4*o, -5*k + 426 - 406 = o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (80\/(-15) + 5)\/((-6)\/(42\/7)). What is the third smallest value in v, -0.1079, -1\/3, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.9. Let m = 2.612 + 0.388. Which is the nearest to l? (a) 0.5 (b) m (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38*(-56)\/24*36\/168?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 12. Let n = -11 + s. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 36. Suppose -3*o + 66 = 4*p + 2*o, -4 = -2*o. What is the lowest common multiple of m and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4 + 53 = -7*c, 40*o - 32*o - 9*o + 21 = -4*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 60 = -7*b. Differentiate -12 - 17 + 17 + b*l with respect to l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 9088905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 - 247. Which is the smallest value? (a) -6 (b) -1 (c) -1\/3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 3. Suppose -2*a = -q - 1. Suppose -15 = -a*y - 0*y. Calculate the highest common divisor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h + 25. Let q = h + 7. Let p(a) = a**3 + 2*a**2 - 2*a - 1. Determine p(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from pfkltpik.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/500 and 121\/10800?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 795 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:54 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1855*g**2*l*m + 22045*g**2*l*t - 2*g**2*m**2 - 110*g*l**2 - 172*l**2*m**2*t wrt t?\nAnswer: 22045*g**2*l - 172*l**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16636*u - 12287*u + 3571*u - 10831*u.\nAnswer: -36183*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 25*n**2 - 82*n + 49. Give o(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-11)\/(-5))*-5. Let o(g) = 2 + 3 - 2*g**2 + r*g + g**2. Calculate the lowest common multiple of o(5) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 442?\nAnswer: 54366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33574821 is divided by 114.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q + 13. Let f be h(-3). Let c be (f\/(-8))\/((-1)\/8). Let a = c + -47. Solve -3*l - 9 = a*g + l, -5*g = -4*l + 41 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vsvssvvsvs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3173112 and 9871904.\nAnswer: 88847136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(19) + -3).\nAnswer: -3*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8. What is the closest to z in 5, 9, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/(l\/(l**(-3)\/l)))\/l)\/(l**(-1)*l))**(-13))**(1\/13))**15 assuming l is positive.\nAnswer: l**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 2 + 0 + 4*c + 12 + 1 + c**2. Determine g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1686048, -3372099, -5058152, -6744207, -8430264, -10116323, -11802384?\n\"Answer: -m**2 - 1686048*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4 - 801*v**3 + 10*v**2 + 23*v + 5?\nAnswer: -48*v - 4806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j**(-2\/3))\/(j*(j**0*j*j)\/j*j)**(-2\/27))\/((j\/j**0)**(15\/4)*j**9\/j*j**(-2\/13)*j) assuming j is positive.\nAnswer: j**(-7039\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*r - 813896, 102*c - 97*c - 1356492 = 4*r. What is c rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106\/(-2)*(6 + -4). Let z be v\/(-34) + 7 + -10. Let i be 1\/3 - (-1)\/(-3). Which is the closest to 0.1? (a) -0.3 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v + 3. Let u(r) = -r**2 + 29*r - 1. Let z be u(29). Sort v, 5, z.\nAnswer: v, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11850557854 and -0.25.\nAnswer: -11850557854.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/119674 and 101\/15806?\nAnswer: 837718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 683943402 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63 (b) 0.61 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/15)\/(142\/(-1065))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*k, 571*k + 7 = -x + 573*k. Sort -161, x, -5, 3.\nAnswer: -161, -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 573.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 6 (c) 1 (d) -3 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Suppose 0*g + 4 = -2*g, -3*y - 16 = 5*g. Sort y, v, -1 in decreasing order.\nAnswer: v, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 divided by -821?\nAnswer: -101\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -982 (base 11) to base 4.\nAnswer: -102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-35)*(-15)\/6. Let j(b) = 822*b + 11. Is j(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 k when three letters picked without replacement from hkxlhwlw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3749*w**2 - 9*w + 19255 wrt w.\nAnswer: 7498*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z + 4886 = 33*z + 7559 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3\/3 - n**2 + 11*n + 1312. Determine j(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(3402\/776070) + 2\/(-21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 + 21 - 47 + 26 + 26*a**3.\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -119, -250, -423, -632, -871?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 0*p**2 - 24*p**2 - 33*p + 13*p. Let m(s) be the third derivative of s**5\/60 + s**4\/24 + 229*s**2. Let w = 10 + -9. Determine w*k(u) + 20*m(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (14 - 41) + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 0*b)*(-877*b - 388 + 388).\nAnswer: 877*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212330 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1011276 and -37\/1155744.\nAnswer: 8090208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/309 (b) 8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37 - -0.07. Let g = 198 - 201. What is the third biggest value in 2\/11, g, x, -29?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 39. Let b = -22 + n. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 8*x + 9. Let u be t(-7). What is the greatest common factor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -367 + 356. Let y(j) = 16*j + 5. Let h(i) = -3*i - 1. Determine t*h(b) - 2*y(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 511?\nAnswer: 5621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183117?\nAnswer: 3, 11, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 0*n + n + 2*n. Let v(y) = -5*y**2 - 172*y. Let w(t) = -70*t**2 - 2365*t. Let q(m) = 55*v(m) - 4*w(m). What is c(q(d))?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*x - 13*x**3 + 125*x - 222*x + 2*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22239*v + 523536 = -12171*v for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**8\/1680 - i**7\/1050 + i**6\/600 + i**5\/300 - i**2 + 12. What is z in o(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**5 - 3*k**5 - 18*k**5 + 36*k + 3*k**5 - 36*k + (-5*k + 2*k**3 + 5*k)*(-2*k**2 - 3*k + 3*k).\nAnswer: -17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -751*j**7\/42 - 2525*j**3\/3 - 8663*j**2. Differentiate t(s) with respect to s.\nAnswer: -15020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37801724 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*(-7)\/(8085\/(-189))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 25*z**2 - 27*z - 20. Let l be g(-26). Which is the nearest to 0.3? (a) 0.2 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10)\/(10\/950). Let k = 94 - q. Calculate the greatest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/(-144)*(-8)\/6. Sort 3, 1\/10, q in increasing order.\nAnswer: q, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1623 - 1623.3. Sort -3, i, -489.\nAnswer: -489, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + 65. Let j be ((-4)\/(-6))\/((-4)\/(-12)). Suppose 4*l - 3*r + 6*r - i = 0, 0 = j*l + 4*r - 56. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. Let h(c) = -c + 1. Suppose 2*v - 19 = 5*x, 0 = 2*v - x + 2 - 1. Let a = -5 - v. Let y(p) = -2. Give a*y(t) + b*h(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65774, 131565, 197370, 263195, 329046?\n\"Answer: g**3 + g**2 + 65781*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22815 is divided by 1358?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-390)\/(-9)))\/((-3)\/(-36)*6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*r + 1332*r - 3992*r + 1338*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 11*w = 3. Let a be ((-22)\/4 - w)*-2. Solve -m = -3*p + 4*m + a, -p + 2*m + 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-16) - (12 + -14). Let a(z) be the third derivative of -1\/2*z**3 + u*z**4 - z**2 + 0 + 0*z. Differentiate a(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 170, 180, 190?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17988 - -17987.9. What is the nearest to 11 in 1\/12, u, -3, -4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.967, -3\/8, -0.8, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7507384 divided by -7507384.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/316776 and -61\/44.\nAnswer: 3484536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -34*k - 7. Let w = 5359 + -5361. Give m(w).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-20)*((-855)\/18)\/19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290 by 4.\nAnswer: 145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -651 - 579 = -5*o. List the prime factors of o.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2064016 and 4644036.\nAnswer: 18576144","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 9\/5, -1, -0.2, 2\/15, -2\/51?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 221000 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, 1.12, 0.2 in increasing order.\nAnswer: 0.2, 2\/3, 1, 1.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13\/5)*z*z\/(z\/z**3))\/((z\/(z\/(z\/(z\/((z**(-2\/7)*z)\/z*z)))))\/(z**(-1\/5)*z)) assuming z is positive.\nAnswer: z**(52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/7, -154\/37, 73?\nAnswer: -154\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50302 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-14) + (-24)\/(-1). Calculate the highest common factor of 49 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:04 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 29229\/(-51) - 4\/34. Let l = g + -571. What is the remainder when 18 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1878 + 2*q**3 + 3*q**3 - 4*q**3 + 1883 + 4*q**4 as i*q**4 + x*q + p + j*q**3 + w*q**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 49\/12*t**4 + 0*t**2 + 7\/3*t**3 + 41*t - 1. What is the second derivative of o(p) wrt p?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50358764.73 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107327 - -1?\nAnswer: 107328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.667541 centimeters in micrometers?\nAnswer: 86675.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 0*z**3 + 6*z**2 + z**2 - 3*z**2 - 6*z**3. Suppose 53*j - 30 = 59*j. Let s(g) = g**3 - g. Let l(m) = j*s(m) - t(m). Determine l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w. Suppose 4*d - 11 - 1 = w. Factor f + 0*f**d - 14*f**2 - 4*f**3 + 3*f + 14*f**4.\nAnswer: 2*f*(f - 1)*(f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511 + 567. Suppose -13*f - k*f + 690 = 0. Calculate the remainder when f is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 4, b: 4}. Give prob of sequence ee.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 93 = -3*c, 3*c = -3*t + 7*t + 58. Suppose 5*w - 4*u = c, 7*w - 3*w - 27 = -3*u. Let k = w + -3. Calculate the smallest common multiple of k and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*y - 2*y - y**4 + (3*y - y - 4*y)*(-3*y - 5*y**3 + 3*y) as j*y**2 + w*y**4 + x*y + z + o*y**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -53, 2, -6 in descending order.\nAnswer: 2, -2, -6, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(-3*g + 4*g - 3*g) + (-50 + 18 - 13)*(-2*g - 3*g + 275 - 190) in the form d + v*g and give v.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(5\/(-7)*28\/(-35))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*h = 719*h + 1380 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2\/9*n**2 + 0 - 2\/9*n**3 + 4\/9*n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1449 and 198876699.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 + 4*u - 5. Let a(b) = -6*b**2 + 7*b - 9. What is 4*a(y) - 7*m(y)?\nAnswer: 4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 1. Suppose 5*u - 36 + 31 = 0. Let a be (1 - -3) + u*4. Let k = 6 - a. Let d(z) = z + 2. Determine k*d(b) - 4*t(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 17*k - 63 = 0. Suppose t + 1 = 3. Suppose -3*p + 3*l = -129, 4*p - k*l = t*p + 88. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 4*t**2 - 2*t - 1. Let v(p) = 2*p - 4. Let b be v(2). Let j(n) = -2*n + 2. Let s be j(b). What is the units digit of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -93, -126, -141, -132, -93, -18?\n\"Answer: g**3 - 52*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 12:02 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**2\/2 - 2*b + 3. Let y be c(2). What are the prime factors of 3 - (0 + (1 - y))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4395609, -4395555, -4395501, -4395447, -4395393, -4395339?\nAnswer: -4395285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c*s**4 + 19*c*s**3 - 212*c*s**2 + s**4 + 242*s**3 - 4074*s**2 wrt s.\nAnswer: -96*c*s + 114*c + 24*s + 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + sqrt(176) + 0 - (-4 + (3 + sqrt(176) - sqrt(176))))**2.\nAnswer: 48*sqrt(11) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 + (1 - -3 - 3))) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 7. Let n be i(-3). Put 6, n, -1 in increasing order.\nAnswer: n, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -994*p. Let l(a) = a**2 - 141 + a**2 - 70 + 211. What is l(u(w))?\nAnswer: 1976072*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*m + 29 = 0, -4*m + 3*m = 1. Solve -3*b + 6*h - 7 = 2*h, -h + q = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225392149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaaaaasaasas?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s - 4*s - 4*s + (5 + 15*s - 9 + 3)*(2 - 1 + 4).\nAnswer: 73*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*o**4 - o - 2*o**2 - 11*o**4 + 14*o**4 to the form h*o**2 + u + x*o + g*o**3 + v*o**4 and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksekfvv. What is prob of sequence fsv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-5))\/(5\/75))\/((-15111)\/(-16790))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151\/62 + -153\/31. Put -5, -2524, s in decreasing order.\nAnswer: s, -5, -2524","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4067 divided by 15?\nAnswer: -4067\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -232311530 (base 6) in base 8?\nAnswer: -20360316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 2*h + 1. Let y be o(-1). Suppose y = 5*i - i + n - 8, -n = 3*i - 6. Solve -5*q = -4*q + i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**2 - 3 + 3)*((-2 + 2 + 4*w)*(49 - 39*w - 49) - 1 + 1 - w**2).\nAnswer: 1570*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/4 + 17*n**3\/3 - 19*n**2\/2 - 14*n - 23. Let z be f(-18). Solve -5*y - 12 = -3*k, 2*y + 16 = -z*k - 2*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15 - -19) + 1)*2*45\/250. Suppose -9\/5*v**2 + f + 3\/5*v**3 - 3\/5*v = 0. What is v?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20521 is divided by 1578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 748 = 652. Suppose 7 = 2*o - 33. What is the remainder when y is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 9145*d**2 - 9131*d**2 - 18*d)*(-2*d + 5*d - d) in the form o*d**2 + v*d + a*d**3 + c and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8008 - 8008.0005463. What is z rounded to 5 dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -1. Let h(k) = -2*k + 1. Let p be h(d). What is the units digit of (-2)\/(-5) - (-33)\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263298 and 1918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 7:33 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/6 - 114*r + 96. Let s(o) be the first derivative of w(o). Let q(k) = -17*k**2 - k. Calculate s(q(g)).\nAnswer: -578*g**4 - 68*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -61. Suppose 8*j - 19840 = -x*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13701 (base 8) in base 7?\nAnswer: 23505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Suppose t*m + 0*m = 9. Calculate the greatest common divisor of 15 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37000 + 17208. Let a = p - -356359\/18. What is the common denominator of a and -26\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/28 - -7)*2\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114674 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - 36343402?\nAnswer: -36343332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.72 + 29.72. What is the third smallest value in 0, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24428539?\nAnswer: 24428539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, y: 3, j: 5, l: 2, e: 1}. What is prob of sequence llj?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 380061 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.062 + 3.342. Let d = -3.27997968 + i. What is d rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -504, 10\/7, -7 in descending order.\nAnswer: 10\/7, -7, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2 + (-105 - 3574 + 120)*(-1 + 2 - 3))*(2 - 2 - 1)*(-2 + 2 + s**2) to the form q*s + j + o*s**2 and give o.\nAnswer: -7117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 0.8. Let r = 1.7 - u. Let n = 62.1 + -61. Put -0.2, n, -1, r in descending order.\nAnswer: r, n, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from qjqxxnx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235700428.\nAnswer: 2, 58925107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3\/7 (c) 1\/2 (d) 1849\/4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -596*j + 1195. Let i be m(2). Solve 3*n - 3 = 0, 6*n - 20 = -i*q - 2*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 1413769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/15)\/((-2)\/(-114)). Suppose -2*h - 27 - 7 = 0. Let u = q + h. Which is the closest to u? (a) 5 (b) -2\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251940 is divided by 10507.\nAnswer: 10279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2 + 16*a**2 + 8*a - 2 + 0*a. Let z(d) = d**2. Let q(t) = 13*t**2 + 7*t - 2. Let r(p) = q(p) - 5*z(p). Determine -6*k(y) + 7*r(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 2)*9\/4. Let s be 16\/(-2)*(-1)\/2. Let t = c + s. Let o(y) = -y**2 - 6*y - 3. Give o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6) - 4)*78\/90*3.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391*63027.\nAnswer: -24643557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*q - 184*q = -3196 - 437186. What are the prime factors of q?\nAnswer: 2, 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3316929 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*f = -f - 7, 2*w + 4*f - 52 = 0. Let j = w - 11. Let a(r) be the first derivative of r**3\/3 - 3*r**2 + 3*r + 24. Give a(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509 is divided by 57.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 113710381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9926, -19851, -29776, -39701, -49626?\n\"Answer: -9925*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -m - 19, 4*z + 5*m - 4 = 3*m. Does 14 divide 27\/(-4)*(-8)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4805\/19 + -253. Which is greater: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -864808057 plus -128?\nAnswer: -864808185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 96784240.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -228 - 52*k**3 + 256*k - 5\/2*k**4 - 288*k**2. Factor h(w).\nAnswer: -2*(w + 8)**2*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 1:11 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 4*w + 4*w + (0 - 4 + 2)*(2*w - 1 + 1))*(179*w**2 + 113*w**2 + 19*w**2) in the form o*w**3 + i*w**2 + h + y*w and give o.\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c1 + -12c?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 569389629.37 less than -1.2?\nAnswer: -569389630.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 10*s - 13*s + 12 = 0, -5*s + 20 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, -4, -7, -10?\n\"Answer: -3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1683 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -6 (b) -2\/7 (c) -2 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0, -4, 1\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 5*q + 4. What is x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(((-2)\/4)\/(22\/33)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07894 + 0.5?\nAnswer: 0.42106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + (9 + -3 - 8 - -1146)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8951783 and 1527.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/6)\/5*-84*39\/(-1092)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2\/9, 0.2, -0.5 in decreasing order.\nAnswer: 2\/9, 0.2, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-1*6*-1 + (sqrt(300) - (sqrt(300) - (sqrt(300) + sqrt(300) + 1 + -2) - sqrt(300)) - ((sqrt(300) - sqrt(300)*1) + 1 + sqrt(300))))**2.\nAnswer: -320*sqrt(3) + 19204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8313.285 litres in millilitres?\nAnswer: 8313285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21982 divided by -758.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464, -1473, -3162, -5537, -8604, -12369, -16838?\nAnswer: -22017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000993 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -274, -386, -476, -538, -566, -554, -496?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:51 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**4 + 2*n**2 + n + 1. Let g(x) = -1995*x**4 - 10*x**2 - 5*x + 249. Let m(v) = 5*d(v) + g(v). Find the first derivative of m(w) wrt w.\nAnswer: -8000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3682865 is divided by 7096?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.976 - -31.326. Let o = n + -1.95. Round o to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 10. Let d be w(-14). What is the tens digit of (-85)\/d + 6\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 427, 536, 679, 856?\n\"Answer: 17*r**2 + 58*r + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -793*s**2 - 8. Let o(q) = 2033253*q**2 + 20514. Determine -10257*h(y) - 4*o(y).\nAnswer: 789*y**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 1:57 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/6)\/(b*b**9) assuming b is positive.\nAnswer: b**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577051.\nAnswer: 107, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z + z)*(-10*z + 10*z - 18*z) + (-3 - 2*z + 3)*(z - z - z).\nAnswer: 74*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9252 - 5114. Suppose 0 = -12*f - 730 + b. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 10062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.125 and -0.0562.\nAnswer: 3.0688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 7*p - 602. Suppose 5*d = -3*h + p, 2*h + 25 + 5 = 4*d. What is the lowest common multiple of 28 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -2, -21, -303, 0, 4 in descending order.\nAnswer: 161, 4, 0, -2, -21, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 22 + 50. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -5. Let c = -491 + 490. What is the nearest to y in 0.2, 2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 154542113 and 154542112 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -26 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -23. Let p = 56 - g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1272*0.4\nAnswer: 508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**3 - 29*j**2 - 3*j. Let y(n) = n**3 + n**2. Give s(i) - 7*y(i).\nAnswer: 2*i**3 - 36*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - 7. Let w be 12\/54 - 561\/h. Suppose -4*l + 2*s + 12 = 0, -2*l + 2*s + 5 = -3. Solve 10 + 4 = l*o - 2*b, -2*o - w = 5*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770 and 15708.\nAnswer: 78540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(8)*2)\/sqrt(4) + -5)**2.\nAnswer: 48*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-66)\/(-8))*(-12)\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362069720.\nAnswer: 2, 5, 103, 87881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 325 + 0 + -5 + 10. Let t = n + -325. Let k(x) = -11*x**2 + 5*x - 14. Let y(q) = -7*q**2 + 3*q - 9. What is t*k(i) - 8*y(i)?\nAnswer: i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/74269848 and -29\/8739?\nAnswer: 222809544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-259)\/(-238))\/(42\/8). Let k = 72.7 + -72.4. Which is the third smallest value? (a) 0.1 (b) k (c) o (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-513)\/(-66))\/((-1480)\/96 + 15).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*g - 323*g - 5*g**2 + 2 + 2*g**2.\nAnswer: -3*g**2 - 552*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -18. Suppose -m + 3 = -u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -12 - (-3 + 1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 160144724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 3, w: 1, d: 4, j: 5, q: 4}. What is prob of picking 2 j?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -472.5154 + 479.52. Let q = x + -7. What is q rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:52 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639035 = 39*b - 636929 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 9. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 15 - 3. Let r = 7 + -5. Suppose 2*m + 21 = -5*w, -2*w - 10 - r = 2*m. Is x greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12941 - -3?\nAnswer: -1293a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11991, 24009, 36027, 48045, 60063, 72081?\n\"Answer: 12018*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 + u + 30. Let w(j) = -6*j**2 + j + 35. What is 5*k(q) - 4*w(q)?\nAnswer: -q**2 + q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -5. Let m(b) = -3 + b + 3*b - 1. Is 20 a factor of m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -2.6. Let o = 6490.77 - 6478.77. Put o, q, 0, -0.5 in ascending order.\nAnswer: -0.5, 0, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 815*i - 1630. Let n = -181 + 226. Let d(q) = 37*q - 74. Let m(g) = n*d(g) - 2*a(g). What is the derivative of m(y) wrt y?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -18*w**2 + 3214*w - 31920 = 0.\nAnswer: 95\/9, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -7 in increasing order.\nAnswer: -7, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f\/(f\/f**(-2\/11)))\/f)*f*f*f*f*f**(-1\/10))**(-4)\/(((f*(f**(-4\/3)*f)\/f*f)\/(f*f\/f**(-3)))\/((f\/(f**(2\/11)*f*f))\/f**(-2\/3))) assuming f is positive.\nAnswer: f**(-908\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161700\/13 + -12438. Which is the closest to -0.5? (a) g (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-2)\/(-6))\/(10\/150). Let x = 8 - u. Solve 2*d + f = 8, -2*d + d = -x*f - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15*k + 2 - 1 - 1.\nAnswer: 15*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/36)\/((21\/490)\/(690\/161))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 62*v - 13 + 106*v.\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*i - 22, 2*i = -5*d - i + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 25*l**2 + 144*l + 3. Determine q(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:34 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12006 - 6?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4 + 7488*g**3 + 82572*g**2 + 142672*g + 67590 = 0.\nAnswer: -9, -1, 3755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3631 - 1583. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 2*v - 3*v)*(-17 - 10 - 26 - 2*v**2 - 78).\nAnswer: 18*v**3 + 1179*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from scsssssscssscccsssss?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56751, -113696, -170641?\n\"Answer: -56945*s + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*v**3\/2 + 7896611*v**2.\nAnswer: -v**2*(11*v - 15793222)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-2016)\/12)\/12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1067 and 5917?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10574640 rounded to the nearest 10000?\nAnswer: 10570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q - 7. Let v(k) = -148*k + 60*k + 56*k + 35*k - 3. Suppose i - 3*f + 6 = 0, -4*f - 2 = -2*f. Determine i*v(z) + 4*y(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/2581, 4, -3 in decreasing order.\nAnswer: 4, 2\/2581, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = 4*l + 2*j, -j - 194 = -2*l + 3*j. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*j**3 - 29*j - 28*j - 36*j**3 + 57*j.\nAnswer: -134*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 29. Let s(t) = -4*t**2 + 2*t + 2. Let b(y) = -5*y**2 + 3*y + 3. Suppose -a + 159 = 156. Let z(k) = a*s(k) - 2*b(k). Calculate d(z(x)).\nAnswer: -4*x**4 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18*z**3 + z**2 + z + 1. What is the remainder when 55 is divided by a(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.72 + 20.72. What is the closest to -1\/3 in -4, 0.09, 5, d?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1545 + 6771. List the prime factors of r.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -49\/2. What is the closest to l in -4, -0.1, 17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = 11. Is 154\/4*(-6)\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4*(-1 + 22\/6). Solve 4*p = 3*p - h, 10 = 5*z + 5*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 17. Let d be x(6). Solve -4*q = 7 + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x - 374 = 91*x - 363*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39366*b**5 + 227448*b**4 + 484704*b**3 + 453152*b**2 + 157216*b = 0. Calculate b.\nAnswer: -2, -34\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22.37942 * 109\nAnswer: -2439.35678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8010 and -17\/6.\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -6 - (360 - 319)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -218abc (base 16) in base 14?\nAnswer: -413148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5317153 rounded to 2 dps?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/9669 and -82\/18459?\nAnswer: 203049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 44*u**2 + 76*u - 52. Does 7 divide g(45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + k + 16 = 0, 2*v - k = -0*k + 31. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61412 or 60679?\nAnswer: 61412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272243 is divided by 136114.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njjnjjjoojjjujjj. Give prob of picking 1 u, 2 j, and 1 o.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1.9, 9.3?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 3388 - 9*p - 8814 + 1911 - 1033.\nAnswer: -p - 11324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51153834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**3 + 9*y**2 + 3*y. Calculate b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-8)\/(h\/h**(-5)))**(-3\/22))**(-1\/22) assuming h is positive.\nAnswer: h**(-21\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - -0.42. Let u = 0.78 - -0.12. Let y = u - g. Which is the biggest value? (a) 5 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (41\/2 - (-14)\/(-28)). Let q(l) = l**3 + 16*l**2 - 3*l - 11. Determine q(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:33 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4414221400 (base 5) to base 4.\nAnswer: -210111002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 2*j**2 - j - 2. Let g be u(3). Suppose 5 = f + h - 9, 56 = g*f - 2*h. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24053\/4 - 6014. Sort p, 95, 0.3 in descending order.\nAnswer: 95, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/4 + 21*t**3\/2 - 120*t**2 + 1075*t\/2 - 3375\/4 = 0 for t.\nAnswer: 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + n + 8 - 3, 4*s - n + 13 = 0. Let w be -10*(-2)\/4 - 0. Sort s, w, 0 in descending order.\nAnswer: w, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b4b371 (base 16) to base 8\nAnswer: -55131561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -588? (a) 548\/9 (b) 0 (c) -3 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify ((n**(-1\/3))**(-1\/53))**(-16)*(n**(-1))**(-10\/3)\/(n*n**(-5)*n**7) assuming n is positive.\nAnswer: n**(37\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 362143005 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, 1, 6, 15, 28?\n\"Answer: 2*c**2 - 5*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j**3 - 2*j**2 - j. Let x be q(-1). Suppose 7*c = x*c + 12. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Calculate the remainder when 15*(i - 1 - -3) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/(((-14)\/(-7))\/1)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*f**3 - 34*f**3 + 52*f**3 + (-4*f + 0*f + 3*f)*(-3*f + 3*f - 2*f**2) - 2*f**3 + 3*f**3 - 2*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 + 7 + -10 - (62 - -63).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -180584689*c**3 - 288662301.\nAnswer: -541754067*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 2, f: 3, w: 10, r: 3}. Give prob of sequence wf.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -22*c + 30. What is the remainder when 13 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 907.52954 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95842.57 centuries to months.\nAnswer: 115011084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19ba6 + -5c?\nAnswer: 19b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49426 is divided by 5142.\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39606 and -20.\nAnswer: 39586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*j**4 - 92*h**2*j - h*j**3 - 12*j**6 - 2*j**2 wrt j?\nAnswer: -48*h**2*j - 6*h - 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(2) + -3)*5 - sqrt(2)))**2.\nAnswer: -1920*sqrt(2) + 4112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 10)*(5*u - 2*u - 4*u)*(1 + 1 - 4)*(-3 - 34 + 6) to h*u + f and give h.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = t - 3*t - 5*v, 0 = -v + 5. Suppose -5*n = -0*n + p - 138, t = -3*p - 6. Solve n = -5*j + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*w = 0, -l - 5*w = -7*w + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17314 = 268*t - 19994 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7268, 14179, 21078, 27959, 34816, 41643, 48434?\nAnswer: 55183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z*z\/(z\/((z\/z**(1\/4))\/z)))**(-41))**3 assuming z is positive.\nAnswer: z**(2583\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117542\/88161 - -2\/29387. Which is the nearest to -1\/3? (a) -1\/4 (b) 3\/7 (c) -4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 4*c**2 + 4*c + 6. Let x be g(-3). Solve 4 - 1 = -x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose -2*j = -i*j + 49. Let g = -33 + j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -4 (c) -0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1\/4, 81, 5420, 2.\nAnswer: 1\/4, 2, 12, 81, 5420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*l + 16*l. Suppose 2*x - 673 = -l*c + 196, -c = -x - 298. What are the prime factors of c?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*p**2 + 189*p**2 - 86*p**2.\nAnswer: 235*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 364344?\nAnswer: 83799.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/54557 and -34\/9?\nAnswer: 491013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let f(n) be the second derivative of 2*n**3\/3 - 5*n**2\/2 - 23*n. Let d(b) = -10*b + 12. Let y(a) = -5*d(a) - 12*f(a). Calculate h(y(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/(-16))\/5)\/(79\/((-11376)\/(-594))).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**2*x**4 - 14*b**2*x**3 - 9*b**2*x**2 - b**2*x + 6*b**2 - 2*x**4 wrt x?\nAnswer: -144*b**2*x - 84*b**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -55*z**2 - 59476*z - 82084. Calculate r(-1080).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*q**3 + 0*q + 6*q**2 + 60*q**3 - 5*q**2 + 113*q**3 - 61*q wrt q.\nAnswer: 780*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d - 38 - 78 - 38 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(sqrt(448) + sqrt(448) + (-1 + sqrt(448) - sqrt(448)) + -4)*-5)**2.\nAnswer: -3270600 + 288000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 9:38 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 484358176 divided by 121089544?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 695*q + 117526. What is x(-472)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 4*f - 12 - f. Let b be i(-8). Suppose -n + 399990 = 2*v + b*n, v - 199996 = -2*n. Round v to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 + -183. Let q = m - -80. Let v be (-4)\/(-4) + (0 - q). Let a(w) = -w**2 + 3*w + 1. Determine a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -33. Suppose -3*w = -5*i + 40, 3*w = -o*i + 8*w + 40. Let s be -1*i*48\/(-60). What is the biggest value in -0.2, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*x + 28797 = -156*x + 22170 - 35849 for x.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32630b0 (base 12) to base 10.\nAnswer: 9585348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51292703 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1808*0.05.\nAnswer: 90.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 7*l - 4. Determine b(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -5. Let a = 41 - 29. What is the highest common factor of a and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5945 - -5939.91. Is -11 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88 - 3) + (331 - 257).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20727581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -q + z - 5 + 11, -26*z + 34*z - 125 = -5*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17996 and 26994?\nAnswer: 53988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1)*-3 - (sqrt(272) - (sqrt(272)*-1 + sqrt(272))*-2))**2.\nAnswer: 96*sqrt(17) + 4361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 73. What is the remainder when (-25)\/(25\/2)*(-12)\/((-120)\/(-1250)) is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49661?\nAnswer: 53, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-20)*(-8)\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12566954 less than 22?\nAnswer: 21.87433046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44977902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1571.77493 to 1 decimal place.\nAnswer: -1571.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.059.\nAnswer: 0.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssususss. What is prob of sequence su?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*4)\/(100\/(-125)). Let b(z) = 3*z + 7*z - l - 16*z. List the prime factors of b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70)*-6 - sqrt(70)) + -1*(sqrt(70)*-1 - sqrt(70)))\/(2*sqrt(250) + sqrt(250) + sqrt(10)*2*3) + -3.\nAnswer: -3 - 5*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212366 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2)**2 + 4 + (sqrt(35) - sqrt(280)\/sqrt(8))\/sqrt(5) + ((-5*(sqrt(7) - (2 + sqrt(7)) - sqrt(7)) + sqrt(7))**2 - sqrt(7) - (-2*sqrt(7) + 5)).\nAnswer: 125*sqrt(7) + 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -4*q + i, -2*i + 6 + 6 = -q. Is (-113518)\/q + 4\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 11) to base 2.\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 18*v**2 + 10*v**2 - 10*v + 25*v - 23*v**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 509 and 8656\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8271442?\nAnswer: 2, 4135721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 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: What is the units digit of 2499516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506966453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1068 + -1043. Solve 0*b + i = b, 0 = -2*b - 3*i + n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) - 3\/3. Which is the nearest to m? (a) -2 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 99.93254 millennia?\nAnswer: 9993.254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) -37904 (c) 1\/129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from {i: 4, z: 1, r: 1, a: 3, w: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 686175148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 454378844 by -1.\nAnswer: -454378844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -443, -1636, -3693, -6614, -10399?\n\"Answer: -432*l**2 + 103*l - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14 + (3399\/385 - 11).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*-2*(-28)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2, -0.3112, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - i - 5*i)*(3*i - 2*i**2 - 3*i - 1) as r*i**2 + a*i**3 + h + s*i and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 4:34 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 8*z - 2. Let r(l) = -l + 1. Give -2*r(p) - x(p).\nAnswer: 2*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 409086443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.139962 kilometers to centimeters.\nAnswer: 913996.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 7. Let h be k(-7). Let j = h + 8. What is the remainder when j is divided by 4\/10 - 15\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 - 1 + 21*c**3 - 17*c**3 + c in the form d + y*c + t*c**2 + p*c**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-16))\/((-1)\/(-2)). Suppose 94 = u*j - j + 5*y, -188 = -4*j - y. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**2\/2 + 10*f - 2. Suppose u = 5*u. What is the units digit of a(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296745566 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128082441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49\/5 of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 508 = v, 9*p = 10*p - 4*v - 152. Suppose 673*d - p = 670*d. Calculate the remainder when 106 is divided by d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 2 - 7\/((-14)\/1704). Let t(j) = 2*j - l + 852. Let f(v) = -10*v + 2. Let w(a) = 51*a - 11. Let m(d) = -11*f(d) - 2*w(d). Calculate t(m(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60394 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(72) + 1) + (sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72) + -1)) - sqrt(72)) + -2 + -5)**2.\nAnswer: 840*sqrt(2) + 1996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 6. Let z(o) = 3*o. Give r(z(m)).\nAnswer: 12*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 953120 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 579 + -228. Suppose 352*t - 85 = b*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2073850 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-414)\/(-23))\/6*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 39 + 6*l)*(3*l**2 + l**2 - 5*l**2) - 3*l**3 + 3*l**3 + l**3 + (0*l**2 + 0*l**2 + l**3)*(-1 + 2 + 0).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 350567516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 + 0.74. Which is greater: -116\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 3*d**3\/2 + d**2\/2 + d. Let o be w(2). Calculate the greatest common divisor of 209 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:06 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5756215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.111 and 3409117783769.\nAnswer: 3409117783769.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 3*k + 3, -864*n + 3*k + 1 = -859*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-21))\/(2\/6). Let j = 4047 + -4046.9. Let f = -6 + 5.6. Which is the closest to j? (a) 7 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 23*c**3 - 10*c + 16*c.\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)*r*r*r\/(r*r\/(r*r*r*r\/(r*r**6)*r))*(r*r\/(r*r**(-1\/6)))\/r**(-1\/4))\/(r**(2\/17)\/r**1)**(-14) assuming r is positive.\nAnswer: r**(-2401\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w + 1. Let x be m(2). Let f = 65 - x. Suppose -t = -2*t + f. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -0.129, -2, -3\/4 in decreasing order.\nAnswer: 117, -0.129, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 + 1)*(-21)\/(-14). Let j be (-8)\/(-20) + (-39)\/d. Suppose 4*m - j*m - 15 = 0. What is m rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:52 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6820 (base 10) in base 8?\nAnswer: 15244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -31*v - 249. Give w(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2665 or -3011?\nAnswer: -2665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 42504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 40. Let t be x(-10). Let k = 34674\/23 - 1508. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124433 (base 5) in base 8?\nAnswer: 11601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 21 - 401 + f**2.\nAnswer: f**2 - 379","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 379 + -377.9. Which is the nearest to 1? (a) 3\/5 (b) -2 (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 51270505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(68))\/(sqrt(44)\/(-1*sqrt(11))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - g - 2. Let r be f(1). Let k be (-6)\/r*-2*(-2)\/6. Which is the nearest to 0? (a) k (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-90)\/(-10)))\/((47\/(-6))\/1)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121122 + -20201?\nAnswer: 100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + s = 21*m - 49, -3*m - 5*s + 61 = 0. Solve -3*h - 5 + m = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28890)\/27927)\/((-6)\/232).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 < 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 122 + 2)*(31*u**3 + 5*u - 5*u + 7*u**3).\nAnswer: -3420*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 2 g when four letters picked without replacement from rggbzzxrgdxg?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/19? (a) 0.04 (b) 38 (c) 211 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f + 0*f + (-4 + 2 + 0)*(0*f + 2*f - 4*f) + 4 - 4 - 5*f)*(-3 - 4 + 5).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/3 - 7*i**2\/3 - 8*i\/3 + 16\/3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6605046 is divided by 2431.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6202*k**4 - 9538254 - 5207*k**4 - 811*k**2 - k + 9538254 wrt k?\nAnswer: -273816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-4 - (-2 + 13) - -8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -3*p - 26*z + 21, -7 = 4*p + 3*z. Suppose -3*u = 5*q - 25, -21 = -2*u + q - 0*q. Suppose 10 = p*l + u. Solve l = -2*d + 5*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and 202?\nAnswer: -5656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204.85 - -0.15. Let l = h - 204.999575. What is l rounded to 5 dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5 = -r, 3*r + 0*r - 31 = -21*u + 16*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586200051 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 321*p**3 + 323*p**3 + 2*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4143 (base 5) to base 12\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3870739 divided by 168293?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7292 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 17. Let t = s + 13. Suppose 64*k - 65*k = 3*g, -k = -4*g - 28. What is the greatest common factor of k and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. Let o(q) = -q**3 - 4*q**2 - 3*q - 6. Let y be o(-4). Let x(s) = -y*s + a*s + 3*s. Let t(h) = 2*h**2. Give t(x(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 65 = 5*x + 42, 12*x - 5*r = 50. Solve 2*d + 10 = -5*b - 0*d, x*b + 20 = -4*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*o = 2, 226*j - 225*j = 4*o + 1. Solve 12 = k + j*x - 8, 5*x = 4*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wmjm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*z = -1061, v - 158 - 209 = -4*z. Let t = v - 57. Suppose -25 = -5*d, 5*y + 5*d - t = -0*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*v**2 + 2 + 2*v**2 + 2*v**2)*(-5*v**2 + 3*v**2 + 0*v**2).\nAnswer: -40*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 - 2. Suppose 7*z - 4*z + 12 = 0. Let j be -1 - (-4)\/24 - z\/(-6). Sort j, b, 1 in ascending order.\nAnswer: j, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = -0*c. Let g(r) = r**3 - r**2 + r - 1. What is g(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 61544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 43 + 3)*((r**2 - 5*r**2 + 3*r**2)*(1 + 2 - 2)*(-2*r + 4*r - r) - 2*r**3 - 6*r**3 + 0*r**3).\nAnswer: -387*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 168226929 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*q - 12, 4*q + 16 = -5*t + q. Let u(c) = -5*c + 17. Let y be u(4). Sort y, 2, t in decreasing order.\nAnswer: 2, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-16 - -2) + -6 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -729 + 5172. What are the prime factors of x?\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1524.4 - 1524. Which is the second smallest value? (a) v (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (201 - 238) - (125 + (1 - 3)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029052 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2007 and 58977.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:59 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 12:03 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 12. Let b(l) = -2*l**2 + 60*l + 269. Let t be b(34). What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9204809*h - 10 - 6 - 9204781*h. Let j(l) = 9*l - 5. What is 5*b(g) - 16*j(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(-2)\/35 - 404\/(-7). Suppose -4*r - c - c = k, c - 73 = 4*r. Let n(b) = 2*b + b - 5*b - 4. Let i(h) = 6*h + 11. What is r*n(w) - 6*i(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/21*450\/945\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1199 - -1201. Which is the nearest to 1? (a) 0.1 (b) 1 (c) -21 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 12*i**2 - 29*i - 12. Let o be g(-9). Put 27, 1, o in decreasing order.\nAnswer: 27, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*a + 160 = -4*v + 171, 6*v + 4*a - 22 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/(-2*(-2)\/6). What is the tens digit of ((-438)\/4)\/(u + (-5)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -481 - -683. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2001*w - 35*w**2 + 569*w**2 - 167*w**2 - 183*w**2 wrt w.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 317 + -302. Calculate the least common multiple of 1 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*s**2 - 86*s**2 + 118*s**2 + 125*s**2 - 67*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2145, 0.05, -5, -2\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqbcqqqcqiqqccbi. What is prob of sequence ib?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17052592 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Let z(v) = -115*v + 3 - 17 - 105*v**2 + 140*v - 36. Let l(w) = 26*w**2 - 6*w + 12. Let g(h) = -25*l(h) - 6*z(h). Calculate g(x(p)).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 119*b + 3811. Let x be y(-32). Solve 2 = x*p - s, 4*p + 0*s = s + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 42. Let v be (-1990)\/a + (-2)\/5. What is the units digit of 32\/v + (-217)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 + 1. Let y be l(0). Suppose 3*r + y = g + 5, -5*r = 3*g + 12. Suppose -a + 5 = -r*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(4\/3)*q)**(-2\/117)*q*q*(q*(q*q*(q\/q**(-11)*q*q)\/q*q*q)\/q*q)\/q*q\/((q*(q**(2\/17)*q)\/q)\/q))**(-2\/49) assuming q is positive.\nAnswer: q**(-236596\/292383)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 963 + -962.999998052. What is l rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 33. What is the smallest value in -0.4, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9922011ml?\nAnswer: 0.0009922011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**3 - 11*w**3 - 9*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, x: 3}. Give prob of picking 3 m.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = -s - 0*a, 2*s + a - 2 = 0. Let d(o) = o**3 + 6*o**2 + o - 4. Let q be d(-6). Let u = -5 - q. Put u, -2, s in decreasing order.\nAnswer: u, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 15*y = -128. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013727 to 4 decimal places.\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 + m + 1. Let g be b(0). Suppose g = -j + 7. Suppose 0 = -h + j*h - 240. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 1\/4, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -101.5068 and -0.004?\nAnswer: 0.4060272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**6\/15 + j**3\/6 + 4*j + 2. Let d(i) be the first derivative of u(i). Find the second derivative of d(y) wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b76 - -5?\nAnswer: 1b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**3)\/i*i*i\/i**(-4\/11))**(-1\/10))**(-32) assuming i is positive.\nAnswer: i**(224\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 24*f + 27*f + 25*f - 77*f. Let y(c) be the second derivative of -5*c**4\/12 - c. Determine y(n(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -17, -13, -9, -5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132783 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -54, -27, 22, 99?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -16. Suppose n + h - 7 = 0, -5*n + 2*n - 3 = -5*h. Let i = q - n. Sort i, 2, -3 in descending order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2047 = -509. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cckcvcdkc?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/27, -499, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + w**3 + w**3 - 3 + 3 + 5*w**3 + (-w**2 - w**2 + 0*w**2)*(0*w - 2*w + w) + 2*w**2 - 2*w**2 + 2*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 + 293*w\/3 + 8115\/2.\nAnswer: (w + 45)*(w + 541)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39248 by 446.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -ad6bd (base 16) to base 12\nAnswer: -2a30a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 540 = 46*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222434 (base 14) to base 10.\nAnswer: 1158798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/((sqrt(28)\/sqrt(2))\/sqrt(2)))\/(2*-2*sqrt(18)\/sqrt(2)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -572 or -43?\nAnswer: -572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 25*m**2 - m + 9. Let c(j) = -j**3 - 21*j**2 - 7. Let v(s) = 5*c(s) + 4*d(s). Give v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -11\/5. Let r = -1 - -1.2. What is the smallest value in r, 2\/19, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3825 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 4560.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(-4*(2 + sqrt(612)) + 4)*6 + 3.\nAnswer: 119 + 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 2729*p**4\/12 - p**3\/6 + 315*p**2\/2 + 162*p - 11. What is the second derivative of b(d) wrt d?\nAnswer: 5458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 57 + 7. Let o = q + 20. Solve -o*s - 12 = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a**4 + 0 + 0*a**5 - 1\/1848*a**8 - 1\/660*a**6 + 0*a + 0*a**3 + 2\/1155*a**7 + 13*a**2. What is z in j(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5503636 - 123?\nAnswer: 5503513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*p**5 - 1873*p**4\/6 - 113*p**3\/3 + 1873*p**2\/6 - 4*p\/3 = 0. Calculate p.\nAnswer: -1, 0, 1\/234, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11295549687 and -10.437.\nAnswer: -10.32404450313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(((-147)\/9)\/7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)\/(2\/206). Suppose -4*d - 82 = v, -v + 2*d = 38 + 14. Let z = v + b. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, f: 3, a: 1, v: 2, y: 1}. Give prob of picking 2 d.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001129 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24227.0000004652 + 24227. What is f rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-11 - (-1 + 2) - (-317 + 234))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55321 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**4 + l**2. Let m = 2 + -3. Let o(z) = -3*z**4 - 6*z**2 - 2*z. Let q(v) = m*o(v) - 6*n(v). Find the second derivative of q(g) wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 2*n**2 + 12 + 8*n**2 - 4*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 52616*o - 525989. Give q(10).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and 0.01.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94451324.\nAnswer: 2, 11, 773, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -8*f - 16*f + 7*f in the form p + y*f and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8088*q + 3052*q - 5909*q to the form f*q + k and give f.\nAnswer: -10945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-28)*23*154\/(-93357)\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7745 = -32*o - 1889. Let t(x) = 30*x**2 - 1. Let y be t(3). Let z = y - o. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + -198. Suppose -v*g = 4*x, -3*x - 4*g - g = 14. Let h be 11\/(-10) + 3\/6. Which is the nearest to 1? (a) h (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j + 5. Let b(z) = -4 + 10*z - 9*z + 2*z + 2*z. Let s(k) = 5*b(k) + 4*n(k). Let p(f) = 3*f. Determine p(s(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*b + 17, s - 4*s - b = -44. Suppose -5*p - i = -s, 0*p = -2*p + i + 13. Let -6*x**2 + 2*x**p - 5*x**4 - 21*x**3 + 15*x**4 = 0. What is x?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1427, -5716, -12879, -22922, -35851, -51672, -70391, -92014?\n\"Answer: -v**3 - 1431*v**2 + 11*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 784 + -87805\/112. Let k(z) be the third derivative of 0*z**3 + h*z**8 - 1\/4*z**5 - 3*z**2 + 1\/12*z**4 + 0*z - 11\/70*z**7 + 0 + 37\/120*z**6. Factor k(o).\nAnswer: o*(o - 2)*(o - 1)*(3*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -3)*-6*(-5)\/(-60). Do -7\/17 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656981.9ug in nanograms?\nAnswer: 656981900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.06 and 341598?\nAnswer: -362093.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2534.929931 + 2534.9. Let d = -0.03 - l. What is d rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 times -0.01?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 617.51 to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11385 = 14*g + 5919. Round g to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117228*m**4 - 102041 wrt m?\nAnswer: -468912*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21747, -21605, -21369, -21039, -20615?\n\"Answer: 47*u**2 + u - 21795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - (-17 - -77) - (-232 - -223)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 - -2.56. What is the second biggest value in 0.11, 0, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-2))\/((-1)\/(-2)). Let u = 10 + c. Let b = -4 - -6. Solve -11 = -u*k - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002819 to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 1693 = -3874 + 1661 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -0*i - 3*i + 3*r, -i = -4*r + 54. Let b = -52 - i. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 10*t + 4148 = 0. What is the remainder when 822 is divided by t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1264*m**2*v**3 - m**2*v**2 - 167*m**2*v - 25*m*v**3 - 3*v**3 + 16*v**2 - 3*v wrt v.\nAnswer: 7584*m**2 - 150*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 60. Which is the third smallest value? (a) i (b) 2 (c) 2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 9*t - 928. Let v = -346\/3 + t. Factor -4\/9*c**3 + 0 + 0*c**2 + 0*c - v*c**4 - 2\/9*c**5.\nAnswer: -2*c**3*(c + 1)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20377 to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 25*r**2 + 3*r + 1. Let f be p(-2). Let h(u) = -u**3 + 11*u**2 - 25*u - 11. Let b be h(6). Calculate the highest common divisor of f and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -77\/6, -1, -3, -2\/21 in descending order.\nAnswer: 5, -2\/21, -1, -3, -77\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85 or 73?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - 121. Let z = q - -307. Let k = z + 425. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 56 = 54. What is the second derivative of -18174*y - 20*y**x - 10*y**2 + 3 + 18200*y wrt y?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.93 - 11. Let z = -0.33 + i. What is the biggest value in 1\/3, z, 2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4043 + 3262 - 6246)*(5*r - 2*r - 2*r) - r + 1 - 1 + (r + 2*r - r)*(-1 - 3 + 2) + 2 - 2 + 2*r in the form n*r + z and give n.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**2 + 2687315*q - 10749180 = 0.\nAnswer: 4, 537459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64179)\/(-88680) - (-3)\/4. Let i = -36\/739 + n. What is the common denominator of -81\/16 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -53061 - v**3 + 53061 - 2*v. Let u(x) = 68*x**3 - 160*x**2 + 76*x - 8. Let o(y) = 4*d(y) + u(y). Let o(h) = 0. Calculate h.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = -90. Let a = -20 + b. Let s = 15 - a. Solve 4*o = 3*x - s, 4*o + 2 = 3*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1811 - 0.1189. What is the second smallest value in 1, x, -1, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/35*((-102)\/(-24) + -3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.87 - 0.13. Let l = -20.7 - k. Which is the second biggest value? (a) -4 (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -18 + -10 + -20 + 39?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 - 24*p**2 + 2*p - 3. Determine o(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (97\/582)\/(6\/8). Which is the nearest to -10? (a) 5\/6 (b) -3 (c) i (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -36.67458.\nAnswer: -37.27458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 21, -98\/3037, -49?\nAnswer: -98\/3037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {f: 4, w: 3, y: 6}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*l - l**3 - 220*l + 69*l + 75*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 - (48 + -4 + (-281 - -278))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 1. Let h be s(3). Solve 1 = -h*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p**2 - 372*p - 79. Let l be x(-41). Solve l*d + 84 = -48 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4271571 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -j - 5, -2*j = -o + 14. Let x(m) = 25*m**2 - 7*m - 5. Let d(n) = 12*n**2 - 3*n - 2. Determine j*x(h) + 14*d(h).\nAnswer: 18*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1201 - -66173?\nAnswer: 67374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r + 33*r**2 + 0 - 175\/24*r**4 + 0*r**3. Let q(a) = 3*a**2. Give b(q(t)).\nAnswer: -525*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78202, 312789, 703766, 1251133, 1954890, 2815037?\n\"Answer: 78195*i**2 + 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2395 - 2395 - 2*y. Let t(u) be the second derivative of -u**3\/6 + 3*u**2\/2 - 3*u. Let b(o) = -o + 1. Let d(s) = 3*b(s) - t(s). Determine r(d(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 - 144*n**4 + 3130*n**3 - 11596*n**2 - 190632*n - 175760.\nAnswer: 2*(n - 26)**3*(n + 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2 - -1)*24. Find the common denominator of ((-33)\/(-630) - 1) + 4\/l and -101\/165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 20*n + 4. Let g = 53 - 33. Let l be s(g). Suppose 13 + 19 = l*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*m + 4*b, 13*b = -5*m + 8*b. Let w(y) = 17*y - 3 - 4*y - 12 - 8. Is w(m) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -796\/11 - -73. Let l = -59500\/3 + 20425. Let i = -599 + l. What is the common denominator of h and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 10*h**2 - 11*h + 9. Let v be o(11). Suppose -m + v = 2*m. What is the remainder when 2 is divided by m + (-3)\/(-3) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.207448 from -881.\nAnswer: -887.207448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*y + 2348 - 31*y + 7*y with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02092 - 0.07908. Is b < -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s + 54*s + 72 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = 15748 + 260. What is the hundreds digit of 3481\/8 + 69\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36\/63 - (-23896)\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461 (base 7) to base 12.\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*-2 - sqrt(72))\/sqrt(12) - sqrt(6)) + -1*(sqrt(6) - (sqrt(42)\/sqrt(7) + sqrt(6) - sqrt(6))))\/((sqrt(54)*-6)\/sqrt(2)*-6).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31*(-78)\/(-403)*1\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366859813 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -1064.1, 2, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 591 + -542.4. Let v = 48.6473 - z. What is v rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 2\/3 (c) 1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -654.7 + 655.1. Which is the third smallest value? (a) 2 (b) r (c) 19\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 198*r**2 - 555*r - 756.\nAnswer: -3*(r - 63)*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -287 = -288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, x: 6, p: 2}. Give prob of sequence pxnn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 71*i. Let r(p) = -66*p**2 + 131*p**2 - 64*p**2. Determine x(r(n)).\nAnswer: 71*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -2*l. Suppose 4*h - 19 = -3*n, 0*n - l*n - 5*h + 24 = 0. Suppose -q + 1 = -n. 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 n = -4 + 6. Suppose -n*v + 3 = -1. Differentiate -v - 3*u**2 - 4*u + 4*u wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 155 + 15. Suppose 0 = 2*o + f - v, -2*o + o + 4*f = -22. What is the greatest common factor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 11870?\nAnswer: -11882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q, q - 4 + 6 = 2*s. Let x be 64\/3 - 10\/(-15). Let t(f) = -4*f - 8 + x + 5*f. Determine t(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/26)*d)\/(d*d**(1\/30))*(d**25*d)\/(d**(4\/5)\/d) assuming d is positive.\nAnswer: d**(1025\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 11*j + 45 = 0. Let w be 6\/8*((-8)\/(-3) + -4). Put w, 3, j in decreasing order.\nAnswer: 3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 5. Let v be m(-1). Let f = 1.1 - -0.5. Are f and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/(-18))\/(3\/20). Let p = -1241 + 1239. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -48, -98, -186, -324?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkmmeekmmmekkeekkk. Give prob of sequence keee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 31 = -71 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -8. Suppose -2*m = 5*i - 5*m - 6, 6 = 4*i - n*m. What is the units digit of 2\/i - 1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3, 1, 62 in descending order.\nAnswer: 62, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, v: 2, z: 5}. What is prob of picking 2 z and 1 v?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose p = a - 3*s - 10, -3*s = -a - 7*s - 11. Let h be 11 + (-1 - 1) + a. What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2434281 and -16\/5?\nAnswer: 12171405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44983862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -650.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 11*c**2 + 11*c + 15. Suppose 4*h = -7*u + 4*u - 30, -4*u - h = 40. Calculate the smallest common multiple of 10 and w(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2359 divide 229129670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*v + 1547930, 7*v = 8*v + 5*s - 386960. Suppose -3*z + v = -3*u, -z - 366926 = 3*u + 20079. What is u rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.4 + 43. Let n = 3 + j. Suppose -4*i - 5 = 15. Which is the closest to 0? (a) n (b) i (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*b + 12, -2*g = -b + 13 - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -170*y + 55. Suppose -12*d = -8 + 1328. Let q(v) = -3*v + 1. Let k(c) = d*q(c) + 2*a(c). Let w(n) = -n**2. Give k(w(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/13)\/((b*b\/(b**(-10)*b*b))\/b*b))\/((b**(2\/13)*b)\/b)**(-4\/3))**(-4\/33) assuming b is positive.\nAnswer: b**(1552\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j + 1. Suppose 4*c + 4*c = 14*c. Suppose c = -3*t - 10 - 8. Let g(b) = 6*b**2 + 3*b + 3. Determine t*m(a) + 2*g(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172795 - 172795 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029052 to 4 decimal places.\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 3322.6629\nAnswer: 29903.9661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v - 5*v**3 + 11*v**3 - 2*v + 0*v wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123432 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:03 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5 - 9*a**2 + a - 8*a**3 + 9*a**3 + a**2. Let l be p(8). Suppose -l*q = -2*h + 19, -5*q = -4*h + 32 + 3. Solve -2*r + h = 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1930*q - 3857. Let k be w(-2). Solve 0*c - 9 = -k*c, 0 = -4*i + 3*c - 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -485307, -485309, -485311, -485313, -485315, -485317?\n\"Answer: -2*s - 485305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 47632064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 430 + -227. Is 32 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 5*s - 9, -2*s + 20 = -4*u - 6*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**9\/151200 - l**8\/10080 - l**7\/3150 - 17*l**5\/30 - 48*l**2. Let a(j) be the third derivative of i(j). Factor a(d).\nAnswer: -2*d*(d + 1)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -191*r**2 + 24*r - 41. Let y be n(2). Let s = 757 + y. Solve 5*z - 145 + 135 = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4112 and -87\/287326?\nAnswer: 2298608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1112586, -5\/53 in decreasing order.\nAnswer: 2\/3, -5\/53, -1112586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.3. Let j = -105192.2000065 + 105192. Let a = g + j. Round a to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 57. Suppose -35*o - 17 = -39*o + 5*k, 4*k = -2*o + 2. Suppose -4*a - a + 30 = n, -o*n - 2*a + 142 = 0. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 8*q - 3. Let o be x(-7). Suppose -o*j + 2*j - 6 = 0. Let f be 9\/(-3)*(j + 0). Solve -f = 4*u + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 6. Suppose -4*w = -5*a - 16, -a - 2 + 1 = -3*w. What are the prime factors of 10\/(-4)*a*y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167245 divided by 31\nAnswer: -5395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 76446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/7 (b) 1521.3 (c) -1 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 100*t = -61 + 313. Let l(h) = 10*h**2 + 19*h + 4. Determine l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159906 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 87606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, r: 7, v: 1}. What is prob of picking 4 m?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 12. Let i = -1959 + 1962. Which is the third smallest value? (a) 1 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Let d(n) = 39*n**2 - 3. Calculate p(d(o)).\nAnswer: -3042*o**4 + 468*o**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28087*m**3 + 9*m + 10*m**2 + 8254*m**3 + 20*m + 13537*m**3 wrt m?\nAnswer: -37776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1 - 3 + 0*o - o + 3. Let p be n(-13). Calculate the greatest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:56 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(891) - sqrt(891) - (1 + sqrt(891))*-6)**2 + ((sqrt(99))**2*1 + -1)*-3 + 5 + 2.\nAnswer: 31789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:37 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10875 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -231\/5 smaller than -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/3*3\/(18\/(-3)). Which is the second smallest value? (a) 2 (b) w (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from qhqzqjqqy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -43408?\nAnswer: -824752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19460?\nAnswer: 2, 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -165486*b**2. Let o(p) = p. What is q(o(v))?\nAnswer: -165486*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*i - 14, 2 = 2*i - 2. Let l(o) = o**3 - o**2 + o - 1. Let v be l(1). Let k = -92 - -96. Solve t + k*q - 2*q + 5 = v, 4*t + 16 = -n*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/(b*b*b**8))*b)))\/(b*b**2))**(-17\/6)*(b*b\/b**(-2\/23)*b**(-3\/5))\/((b*b*b**(-1\/8))\/(b**0\/b)) assuming b is positive.\nAnswer: b**(-66391\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68, 153, 256, 383, 540, 733, 968?\n\"Answer: t**3 + 3*t**2 + 69*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 687383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -54, -1\/7, -3\/8, -83912?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20491182 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 34*y - 117. What is u(-37)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:07 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2724 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**5*r*r))\/r*r**(-1\/9)*(r*r**(-1\/3))**12 assuming r is positive.\nAnswer: r**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1456?\nAnswer: -5\/1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 24. Let a be y(15). Solve a*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14077102 < -14077104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18177*b*w**2 + 2564*b*w + 12227*b + 1773*w**2 - 3*w wrt w?\nAnswer: -36354*b + 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -304 - 628*r**2 + 2608*r**2 + 304 + 2155*r**2 as h + g*r**2 + l*r and give g.\nAnswer: 4135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 34. What are the prime factors of (-4)\/a - (-1404)\/63?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93559.44l?\nAnswer: 93559440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - -182. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(425) + (sqrt(425) + sqrt(425)*-1 + sqrt(425))*-1)**2 + -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3906032 nanometers in kilometers?\nAnswer: 0.0000000000003906032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1\/3*d**3 - 14*d - 17 + 0*d**2. Is t(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m + 5. Let i be 1 + -1 + 18 + 2. Suppose -5*d + i = -0. Is l(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1216) + -1 + -2)**2 + ((-4 + sqrt(1216) + sqrt(1216)*2 + sqrt(1216) - sqrt(1216))**2 - (1 + sqrt(1216)*-1)).\nAnswer: -312*sqrt(19) + 12239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 e, and 1 i when four letters picked without replacement from {e: 1, i: 1, p: 1, w: 1, f: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 841 = -4*s - 137, 4*h - 1383 = -3*s. What is the smallest common multiple of 33 and h?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 49*a + 58. Let c(x) = -153*x - 177. Calculate 3*c(f) + 10*w(f).\nAnswer: 31*f + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1147 divided by 1903\nAnswer: -1147\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 100424.87 to the nearest one thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 1. Let b(d) = d**2 + 2*d. Suppose 3*p + t - 7 = 0, 0*p - 4*t + 13 = -3*p. Let m(i) = p*f(i) + b(i). Calculate m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57159728 by -227728.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/15127 and -43\/8644.\nAnswer: 60508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2832 by 3.\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7790*z - 9116 = -7451*z + 7495 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -27 + 147. Calculate the highest common factor of b and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 at most as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let a(n) be the second derivative of -4\/3*n**4 + 0 + 0*n**3 + 6*n + 0*n**2. Calculate o(a(s)).\nAnswer: -512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0758*-0.097\nAnswer: -0.0073526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 3\/4, 1089 in increasing order.\nAnswer: -4, 3\/4, 5, 1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4. Let o be 15\/3*-1*f. Suppose 2*g + 2 = o*u, -u + 4 = -4*g - 0*g. Solve -4*l + 5*l = 5*j + 17, u = j - 2*l + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*n - 42 + 436, -y - 2*n = 146. Let u = y + 235. What are the prime factors of u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j**3 - 9*j**2. Let y(s) be the first derivative of -s**4\/4 - s**3\/3 + 9. Calculate -2*c(w) + 18*y(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 1, u: 2, e: 3}. What is prob of picking 1 v and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 18249552.\nAnswer: 200745072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 65405100\nAnswer: 3270255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.7 + 6.7. What is the fourth biggest value in 25, 1\/4, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97604804 divided by -162404\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 109*y**2 - y - 1. What is the hundreds digit of l(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uwwuuuu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.02 - -0.0090412\nAnswer: 1.0290412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102 or 8739\/85?\nAnswer: 8739\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/98 and (-595)\/21*40\/450?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 6*f**2 + 5*f + 2. Let o be g(-5). Solve -6*x = -o*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/7 + 76960*d**3\/21 + 247041386*d**2\/21 + 1643344520*d\/21 - 82176200\/3 = 0. Calculate d.\nAnswer: -6410, -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 97*w - 2165. Let q(s) = -11*s**2 - 195*s + 4332. Let x(n) = 4*q(n) + 9*v(n). Differentiate x(b) wrt b.\nAnswer: 2*b + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + -26 + 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 54\/5 of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/10)\/(9\/30). Suppose g*f - 3*k = 60, -5*f + k - 39 + 114 = 0. Suppose y = 4*y - f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(7\/3 - 2). What is the third derivative of 3*j**5 + 2*j**2 - 2*j**5 - q*j**5 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 20*x + 21. What is j(-16)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 1, p: 1, k: 1, i: 1, v: 1}. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 27. What is the remainder when ((-24)\/6 - -3) + (1 - -2) is divided by (-4)\/6 + k\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2.0168.\nAnswer: 4.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*z - 1495 - 2264, 3771 = w + z. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1127811\nAnswer: 7\/1127811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134891369*h**2 + 154257610?\nAnswer: -269782738*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -21*k + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*i = 2*i + 10, 2*h - 4*i = -2. Suppose 69 = 13*j - 36*j. Let v = 0 + -0.1. Which is the closest to v? (a) -2 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2*w**2 + 0 + 6 to the form a*w + c + h*w**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -310, -419, -324, -25, 478, 1185?\n\"Answer: 102*b**2 - 415*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/45, 2\/7, -2\/97, 0.2 in ascending order.\nAnswer: -1\/45, -2\/97, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -23\/3*a**3 + 293*a + 22*a**2 + 1\/6*a**4 + 0. Factor w(n).\nAnswer: 2*(n - 22)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 4 - 5*i + 0*i - 6*i. Let a be t(11). Solve g = -c + 3 + 4, -a = -g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 118, 3, -4665, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 28*p + 60. Give b(21).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 17*x = -28784. Suppose -5*u = 2*f - x, -u + 296 = 2*f - 112. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45730 and 35?\nAnswer: 320110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 - 186. Calculate the least common multiple of w and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 + 521*a**3\/5 - 75361*a**2 + 47033883*a\/5.\nAnswer: a*(a - 221)**2*(a + 963)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/8 - 7\/24. What is the nearest to 1\/3 in -5, t, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**3 - 76975*z**2 - 76079165*z - 76002185 = 0?\nAnswer: -931, -1, 16327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 10*l**2 + 16*l + 3. Calculate m(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 462 = -168. Let k = -8 + 14. Is 1 + k\/(-3) + n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -148 - 1c?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2534143 (base 7) to base 14\nAnswer: -8775a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + (-177)\/(-15). Suppose -24 - y = -4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 67*h**2 + 41*h + 40. Calculate i(-33).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3586 and 169\/27258.\nAnswer: 4443054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 14. Let j be d(6). Solve -10 = h - p, -3*p + 15 = -j*h - 2*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*j, 122*j - 1 = -s + 119*j for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -21320\nAnswer: 10660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1009, -1168, -1367, -1606, -1885, -2204?\n\"Answer: -20*k**2 - 99*k - 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/10))**(-36))**(26\/3) assuming f is positive.\nAnswer: f**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 2*u - 50. Suppose -u = 5*g + 20. Let h be (9\/(-5))\/(g\/30). Solve 0 = b - 4*i - h, -i + 6 = -3*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -219, -223, -229?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 11 + 268\/(-20) - -8\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572147061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11556\/145 + 399\/5. Let j = d - 79\/203. Which is bigger: j or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(134 + 6 + 26)*(q**2 - 3*q**2 + 3*q**2).\nAnswer: 332*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30203 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2738, -2, 3, 429\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2487100 and 53\/2856?\nAnswer: 14922600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62097 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-23))\/(33\/363*858\/117)\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5530485 and 42755?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-24)\/(-144)*358)\/((-1)\/(-126))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 30*b**5 + 184*b**4\/3 + 98*b**3\/3 + 4*b**2\/3.\nAnswer: 2*b**2*(b + 1)**2*(45*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063234 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, c: 4, k: 1, b: 3}. Give prob of picking 2 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-22)\/198)\/(1*176\/576).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312014110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4196, 4195, 4194, 4193, 4192?\n\"Answer: -k + 4197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/90*k**5 - 31 - k + 0*k**2 + 0*k**3 - 1\/135*k**6 + 1\/27*k**4. Factor g(z).\nAnswer: -2*z**2*(z - 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33223210 - -2022?\nAnswer: -33221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {n: 1, a: 1, v: 1, q: 1, u: 1, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 87. Let p = j + 55. Let o = p - 14. Solve 0 = n - 7 + o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 128990924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -2768, -9331, -22104, -43157, -74560?\nAnswer: -118383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 times 0.207?\nAnswer: 25.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192300 and 5100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13159*f + 13160*f - 179 = 0. Which is smaller: 176 or f?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 34. Suppose -5*x = -5*a - 35, -2*a = k*x - 7 + 1. Solve 0 = d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.2 and -30744.\nAnswer: 405820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (43 + -84 - -101) + -50\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136428 by -6.\nAnswer: 22738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12279 and 36837.\nAnswer: 36837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 22264073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196069*p**2 + p**3 - 8*p**4 - 3*p**3 - 196075*p**2 to l*p**2 + w*p + a*p**3 + d*p**4 + q and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1192845 and 5660?\nAnswer: 4771380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/108 - 14\/(-8). Solve j = -4*w + 8, -4 = -3*w - 2*j + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*b - 1210425 = 0, 6*y + 4*b = 2*y + 968352. Suppose -y = -16*p - 9395. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**7\/90 - 11*k**4\/6 - 28*k. Let l(h) be the third derivative of m(h). Let g(v) = -3*v. Calculate l(g(a)).\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13545522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - g = 22, -88*d + 126*d + 94 = 2*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -37*s**3 + 15*s**2 - 6*s - 7. Is w(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912 = 9*i - 930. Solve -3*l + 2*x = -7*l + 8, x = 4*l - i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, -3, 0.2, -0.12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7361*p**2 - 15287*p**2 + 7619*p**2.\nAnswer: -307*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/2*s + 5\/2*s**3 + 1\/2*s**4 + 0 - 13\/2*s**2.\nAnswer: s*(s - 1)**2*(s + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34089796*n**3 + 17044898*n**3 + 17044893*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 264\/(-176) - (-32995)\/(-2). Let s = 70 - 37. Let d be k\/(-3) - (-11)\/s. What is d rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1835 = 5*t + 1830 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*n - 236 = 26*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/4 - 4) + -1. Let i be (-46)\/(-5) + -7 - l\/2. Sort -5, 7, i in decreasing order.\nAnswer: 7, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/11 (b) -6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3399 and 0.25164?\nAnswer: -855.32436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*g - 23, 4*s + 1 - 15 = 2*g. Put g, -0.5, 1\/6 in descending order.\nAnswer: 1\/6, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-2))\/((-23)\/(-690)). Suppose f = -2*f - 4*d - 5, 4*f = 2*d + v. Suppose 0 = -3*s - 4*p + 883, 4*s + 3*p - 1170 = f*p. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/10)\/6*(-30)\/(-15120)*-18.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/7 (b) -6\/5 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*g + 5, 47*g - 49*g - 2 = 0. Solve y*b - 10 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -2*n, 0 = -5*n - 2*k + 1 - 4. Suppose -9 = v - 7*a, 5*v = 14*a - 16*a - 8. Put v, n, 0 in descending order.\nAnswer: 0, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 186 = 38*j, -7*l + 3*l = -845*j + 841*j + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 18*w - 25 = 0. Solve w*m - 10 = -30 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3876*n**5\/11 - 5506*n**4\/11 - 1048*n**3\/11 + 546*n**2\/11 - 36*n\/11 = 0.\nAnswer: -1, -2\/3, 0, 3\/34, 3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11081 by -14022.\nAnswer: 11081\/14022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188.61 - 0.39. Let d = a + 189.02. Are d and 3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 27 + 21. Suppose 3*k - 5 = -4*t, -t + q*t - 20 = -k. Put t, -5, -1 in ascending order.\nAnswer: -5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*y + 124*y + 16. What is the second derivative of -1 - 55*l**y - 17*l**4 - l + 20*l wrt l?\nAnswer: -864*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.44196 centimeters in meters?\nAnswer: 0.9344196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 + 18*i - 129. What is b(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a kilometer in meters?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) 3 (c) 149 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:44 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -b836 (base 12) to base 7\nAnswer: -112620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 704017397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x, -p + 0*x - 438 = -4*x. Let y be (-1 + (-4)\/(-8))\/((-3)\/p). Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 - (-75)\/(-6). Let z be -2*556\/56*(-3)\/r. Let o = -21\/4 - z. Which is the second smallest value? (a) o (b) -4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 3674424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + g - 10. Suppose 0 = 9*h - h + 24. Let p be -1*(-2)\/h*(-195)\/26. Calculate the remainder when 224 is divided by d(p).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2488902.\nAnswer: 2, 3, 13, 17, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(5 + -9 + (1 - -1)). Factor -73*h**4 - m*h**5 - 59*h**4 + 0*h**5 + 140*h**4.\nAnswer: -4*h**4*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1056 = 5*x + 21622, x - 27406 = -4*o. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oukoouuukooookkoo. What is prob of sequence kku?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -60. Let b be (-45)\/d*(-15000 - 0). What is b rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 - 12*r - 1. Let g(k) = 4*k**2 + 6*k + 1. Let c(s) = 5*g(s) + 3*l(s). Let d be c(-7). Let b = 9 + d. Is b greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*j - t, -225*j + 22*t = -222*j + 73 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**8\/7 + 35*c**4\/24 + c**3\/6 - 122*c**2. What is the second derivative of k(l) wrt l?\nAnswer: -960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 12122?\nAnswer: -12126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235833356?\nAnswer: 2, 11, 293, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.485655541 rounded to 3 decimal places?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16782099.8747134 - -16782097. Let z = u - 0.6252814. Let h = -3.5 - z. What is h rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-12) - 98\/(-3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose -4*f = r - g, -r = 5*f - 0 - 4. Suppose -4000724 - 1799276 = r*z. Round z to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 3. Let t = 363 - 349. Let z(v) = 4*v + 7. Let l(n) = t*w(n) - 6*z(n). Let o(a) be the second derivative of -a**4\/4 + a. What is o(l(r))?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + a + 20 = 0, -536*a - 15 = 3*n - 533*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 21 - 6*g**3 - 9*g**3 wrt g?\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 11*y**2 - 5*y. Give c(-10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 16*n - 9. What is h(-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221201100111122 - -21?\nAnswer: 11221201100111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37820 divided by 7564\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 15 - -18) + (-7 - 4\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.5. Let c = -0.13 - -0.43. What is the smallest value in -3, p, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, b: 2, e: 2, c: 4, r: 1}. What is prob of picking 2 e and 1 r?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.974 - 43. Let a = 0.274 - k. Let r = -0.2 - 0.8. What is the nearest to -0.02 in r, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5673*t - 217. Let b(h) = 105*h + 4. Calculate -217*b(y) - 4*f(y).\nAnswer: -93*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7084146 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 0*a**3 + 5*a**3 - 2*a**3 + a**3 + 3*a**3 + (-4 + 4 - a**2)*(-1 + 1 - a) - 2*a**3 + 5*a**3 - a**3 - 4*a**3 + 3*a**3 + 4*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/((-2)\/18). Let v(t) be the first derivative of t**4\/4 + 3*t**3 + 11*t**2\/2 + 6*t - 13. What are the prime factors of v(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 - 3 - (-9 - (-21 - -27))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2*6\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2807 + 4913. Calculate the remainder when f is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 691333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4989357.\nAnswer: 3, 31, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17615*s**4 - 2*s**3 - 1960*s + 83?\nAnswer: 211380*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/821?\nAnswer: 8\/821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 240201.78 microseconds?\nAnswer: 0.004003363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -1621)*-7 + 10 + 65\/(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40000 and 90?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 50 + 122. Suppose -3*f + 0*f - i + 31 = 0, p = 4*f + i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*k + 21, 4*k + v = -0*k - 15. Which is the closest to 2\/5? (a) -2 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 16186990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*h**3 + f*h**2 - f*h - 30*f - 1778915*h**3 - 2*h**2 + 14*h + 3 wrt h?\nAnswer: -12*f - 10673490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/90*9*(-4)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:22 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 + 6*u + 7. Let k be o(-5). Let y be (3 - k)\/1 - -3. Factor -39*j**4 + j**2 + 2 + y*j**3 - j**2 + 37*j**4 - 4*j.\nAnswer: -2*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 3\/1) + 24. Let m = o - -106. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + -18 - (-8 - 254)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 + -13)*(-2)\/2. What is the highest common divisor of s and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8190 and 224250.\nAnswer: 4709250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2\/4 + 153*h - 613\/4 = 0.\nAnswer: -613, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -16. Sort 2, w, -3.\nAnswer: w, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774675367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-1\/5)\/s))**(4\/7)\/(s**(-1))**33 assuming s is positive.\nAnswer: s**(1199\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - -3 - 3)\/10. What is the nearest to n in 1, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:25 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19850 divided by -5\nAnswer: -3970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -600031 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102.4 - -101.9. What is the nearest to 1 in l, -2\/15, -12?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*c + 10*y + 4, 4*c - y + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -19*w - 47. Let g be 76\/16 + 3\/12. Sort 6, g, w, 1 in ascending order.\nAnswer: w, 1, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 (base 8) in base 12?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*10\/125*(1 + 14\/(-9)). What is the fourth biggest value in 1, 6, 2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28\/423 - -1210\/5499. Which is the third smallest value? (a) -0.1 (b) -9\/5 (c) -9 (d) 6\/5 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -0.1155.\nAnswer: -0.3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27537 is divided by 73.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 12*t**2 + 11*t + 3. Calculate z(10).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -356787858 and -0.2.\nAnswer: -356787858.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7.79041 times 295\nAnswer: 2298.17095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11634876013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 54 = 3*f, f + 4 = -4*m + 25. What is the greatest common factor of f and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 + 49661*p**2 - p**3 + 22*p**3 - 49661*p**2 + 11*p.\nAnswer: 28*p**3 + 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*n**3 + 14951*n**2 - 216942977*n.\nAnswer: 1092*n + 29902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -91497402?\nAnswer: 7\/91497402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - 2) + 4 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-31) + -1 - ((-19716480)\/3255)\/(-144).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 - 580*v\/9 + 42050\/9 = 0. Calculate v.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 98706850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 48*j**2 - 8*j + 374. Calculate m(48).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-306))\/(((-5)\/(-15))\/(11\/(594\/153)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 2, i: 1, d: 1, v: 1, t: 2}. What is prob of picking 2 f, 1 t, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880)*-1 - sqrt(2880) - sqrt(20))\/(3*sqrt(10)*-1) - (sqrt(22)\/(sqrt(22)\/sqrt(2)) + sqrt(6)\/sqrt(300)))**2.\nAnswer: 47089\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 83 - 2 = -5*q, -4*t - 20 = -q. What is the lowest common multiple of q and (-12)\/((351\/(-45))\/13)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from cjzjl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (2 + 4*(-5 + sqrt(1100) + ((sqrt(1100) - (sqrt(1100)*-2 - sqrt(1100)))*-6 + sqrt(1100) - sqrt(1100))))**2.\nAnswer: 33120*sqrt(11) + 9310721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 611434580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 305*n**3 + 366. Let h(x) = -x**3 - 1. Give -366*h(l) - q(l).\nAnswer: 61*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/15)\/((-1)\/(-10)). Suppose 2*j = -2 + a, 4*q + j - 49 = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (338\/(-4) + 2)*152\/(-57). What is the derivative of -266 + 518 - 236 + g*n wrt n?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 2*o + 1. What is the tens digit of y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-9)\/d))**32\/(d**(-2\/15)\/d*d*d**(-10)) assuming d is positive.\nAnswer: d**(5432\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-4*sqrt(405))**2 - (sqrt(50)\/sqrt(5))\/sqrt(2)))*-2.\nAnswer: -12970 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 1\/24*i**4 - 2*i**2 + 0*i**6 + 0*i**3 + 0 + 0*i**5 + 0*i**7 + 0*i - 1\/56*i**8. What is the second derivative of x(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64262 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = o + 15, 0 = o + 2*o - 9. Let i = u + -10. Is (2 + (-902)\/8)\/(i\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.042229 - 0.04222795892. What is x rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*sqrt(170)*2)\/sqrt(10))**2.\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -v + 710 - 248, -v - 4*p = -468. Let y = v - 324. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 - 8*n**2 + 5*n**2. Let l(r) = r - 1. Let o(f) = 10*f + 5. Let x(m) = 5*l(m) + o(m). Calculate x(i(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 59\/3. Which is the closest to -1? (a) -3 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208439104 rounded to five decimal places?\nAnswer: -0.20844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u + 4. Calculate y(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -20\/3 (b) 12\/11 (c) 0 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 + 13\/(-4). Let i be 1\/(-2) + c\/(-2). Let z = -1\/12 - -7\/12. Is z greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 817, 2\/459, 1 in increasing order.\nAnswer: 2\/459, 1, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 140?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3302 - 133?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-280)\/(-195)))\/(161\/(-322))\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 31*t**4 - 414*t + 60*t**4 - 29*t**4 - 511*t + 76*t**5 wrt t?\nAnswer: 1520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let h = -5 + x. Let k be 4\/(-6) - (-8)\/30. What is the closest to k in 0.4, h, -5\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2 - 2)*(0*a**2 - a**2 - a**2) - 13*a**3 + 8*a**3 - 9*a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -1\/13 (b) 1 (c) -486 (d) 4\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-12) - (-803)\/66. Let g be (o\/(-5))\/((-15)\/(-150)). List the prime factors of ((g\/4)\/1 + 1)*-25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkkkkkvkhttvkt. Give prob of sequence th.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 19*m**7\/21 + m**5\/10 - 53*m**4\/12 - 3*m**2\/2 - 7*m + 8. Find the third derivative of t(s) wrt s.\nAnswer: 2280*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626209.\nAnswer: 43, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = h + 4*k, 2*h + 2 = k. Which is greater: -2\/27 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 4}. Give prob of picking 1 q and 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 + 110*q - 14. Calculate b(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 3) + 265 - -6. Let h be ((21\/4)\/(-3))\/((-66)\/f). Solve 0 = -9*w + 2 + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 + -115. Is n at most as big as -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(2\/25)\/d)*d)\/d)**(-44))**21 assuming d is positive.\nAnswer: d**(-44352\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 36 = 84. Let l(b) = -595*b**2 + d + 609*b**2 - 3. Let s(m) = -m. Calculate s(l(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286064*g - 286105*g + 572339*g.\nAnswer: 170*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3981118.\nAnswer: 2, 1990559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.18 + -25.18. What is the closest to -1 in -3\/7, y, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/46544 and 47\/29090?\nAnswer: 232720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-6)*63\/(-84). Let m(n) = -5*n**3 - 7*n**2 - 2*n - 2. Let g(w) = 6*w**3 + 8*w**2 + 2*w + 2. Let b(q) = 6*g(q) + 7*m(q). Calculate b(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041264 to four decimal places.\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465 and 1116.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 5*s + 50 = 14*c - 19*c + 6*s, -3*s = 3*c - 33 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 27*o - 15. What is the remainder when 38 is divided by i(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q - 14. Let i be x(2). Suppose u = -15 + 60. Let m = u - i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220608 to the power of 1\/2, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 1 - 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16560, 16564, 16568, 16572, 16576?\nAnswer: 16580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 84 = 8*o. What is the smallest common multiple of (o\/6)\/((-2)\/4) and (-2 - -3) + 2*1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*n + 47. Solve -20 = -5*a, n*p - p + 2 = -2*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6840\/487 or 14?\nAnswer: 6840\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1811, 3995, 6179, 8363, 10547, 12731?\n\"Answer: 2184*n - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 94*c + 8308. Let w be s(-91). Put -9, w, -2, 0 in decreasing order.\nAnswer: 0, -2, -9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, 92313, 23 in increasing order.\nAnswer: -14, 4, 23, 92313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16503414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) -31048\/247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8998444, 8998443, 8998442, 8998441?\nAnswer: 8998440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 165. Suppose -t + z = r, r - 2*r + 14 = 3*t. Which is smaller: r or -1\/26?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t**4 + 1524*t**3 - 2157*t**2 + 618*t = 0. What is t?\nAnswer: -103, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120121 + 210?\nAnswer: 2121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 46, 96, 140, 178, 210, 236?\n\"Answer: -3*b**2 + 59*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1218680 and 2280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 164. Let c = d - -25. What is the highest common divisor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 6*w + w**2 + 2 - 3*w)*(-36*w - 32*w + 72*w - 4).\nAnswer: 8*w**3 + 4*w**2 - 4*w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24093, 94044, 210629, 373848, 583701, 840188?\n\"Answer: 23317*t**2 + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 73327.\nAnswer: -73327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 183805123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2080 and 59944560.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15 - 15 + 12*y**2 + 17*y**5 + 9*y**2 wrt y?\nAnswer: 1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -92. Let v = n + -18. Is 9 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 25*u - 52. Let b be t(28). Let z be 112 - ((-1 - -2) + 1). Suppose -y = -z + b. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12125571 minus -0.02893794?\nAnswer: -12125570.97106206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25624421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f + 4. Let d be ((-1)\/f)\/(4\/(-20)). Solve d*i + 40 = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -17. Let x(f) = 3*f - 3. Let y be x(3). Solve 3*s - 2*l - 1 + 0 = 0, -4*s - t*l = -y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, m: 1, q: 1, t: 2, b: 1}. Give prob of sequence wlb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17556 and 334476.\nAnswer: 25754652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8637 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1452 and 107\/792?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 17 + 1 = 2*z, -u - 2 = 0. Let p = -224.907 - -225. Let m = p + 0.907. What is the fourth biggest value in -5, 0, z, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5549 is divided by 605?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9303570*w + 63585365 wrt w.\nAnswer: -9303570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -12572062.49978.\nAnswer: -12572062.79978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44910126*r**4 + 352545998.\nAnswer: -179640504*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 40774560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 5, b: 6}. What is prob of picking 2 q and 1 x?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 310*w - 24027. Give r(-155).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/74 + -1013\/148. What is the common denominator of h and (-28)\/(-132) + 2\/(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 26864*f - 967412. Determine z(36).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23044412 + 131001?\nAnswer: -22413411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 215*g - 225. Let f be d(1). Put 4, f, 14 in descending order.\nAnswer: 14, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281355, 281363, 281371?\nAnswer: 281379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3385 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6945822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1154.\nAnswer: -2308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 30*n**3 + 2*n**2 + n - 15. What are the prime factors of d(5)?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2*p - 3. Let s be j(-4). Suppose 3*r - 576 = -s*r. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -953135 by -5.\nAnswer: 190627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624672624?\nAnswer: 2, 3, 67, 194239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 8. Let q = -0.6 + -3.3. Let n = -4 - q. Which is the second biggest value? (a) -5 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124422300 + 12131?\nAnswer: 124434431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*v + 100, 2*v = 2*y + 15 + 45. Let l(h) = h**2 - 43*h - 54. Let x be l(45). Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877923727 to the nearest integer?\nAnswer: 29630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 30*u = 25*u + 210, -t = -u - 39. What is the greatest common divisor of 13005 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**3 + 8*o**2 + 6*o - 6. Suppose -7*u + 20 = 4*i - 3*u, u + 1 = 0. Let k(j) = -j**2 - j + 1. What is i*k(p) + b(p)?\nAnswer: -5*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-48)\/(-18)))\/((-6)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*1071\/51.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 10*y**2 + 18*y + 14. Does 7 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2835\/(-2268)*((-10)\/(-100))\/(((-21)\/108)\/7)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -5*d + 8*k + 288, 4*k = 4*d - 208. Solve -5*x + v = 20, -36 + d = -5*x + 3*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1248967 + 992*l - 1248967)*(45*l + 8*l**2 - 45*l).\nAnswer: 7936*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 17. Let l be r(9). Let n = l + 18. Put 5, -5, -4, n in decreasing order.\nAnswer: 5, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1800025*a**4 - 5*a**2 + 40*a.\nAnswer: -43200600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 23. Let u be c(0). What is the common denominator of -103\/22 and u\/22 + (-10 - -10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = 3*r - 0, 1 = p - r. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 + -89. Let p = 85.000043 - u. What is p rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448764 divided by 10.\nAnswer: -224382\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.7 - 35.4. Which is the nearest to 6? (a) 1 (b) -5 (c) f (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2802 - 3470. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:14 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose -4*r = 4*g - 48, -36 = -5*g + 3*g + o*r. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -168, 0.3, 4.1, -2, -0.09, -2\/5, -4\/3?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14)*3)\/((-9)\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 186160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.73484s to hours.\nAnswer: 0.0629819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + -3.8. Let v = 957\/4 + -240. Which is the closest to -0.1? (a) f (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 735716486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44056837701985 and -3.\nAnswer: -44056837701988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -726 divided by -242?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25361?\nAnswer: 7, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 34*m**2 + 39*m - 138. Let v be t(35). Suppose g - 893 = 4*s, 12*g - 15*g + v*s + 2629 = 0. Does 31 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.5 and -279796761713.\nAnswer: -279796761714.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = -2*p + 5*p, -4*s + 5*p - 3 = 0. Which is greater: s or 5\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c. Let w(u) = 9. Let a(j) = 5. Let z(v) = 7*a(v) - 4*w(v). Let r(x) = -20*x**2 - 4. Let o(q) = -r(q) + 4*z(q). What is o(s(p))?\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52361826 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1424*h**4 - 9*h**2 - 53*h + 105. Let j(c) = 356*c**4 - 2*c**2 - 13*c + 26. Let a(m) = -9*j(m) + 2*p(m). Find the second derivative of a(v) wrt v.\nAnswer: -4272*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-526)\/(-40) - (-1308)\/(-8720). Let w(y) = 102*y - 5. Let s be w(4). Calculate the greatest common factor of l and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 times -12983.19\nAnswer: -311.59656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + ((-107 - -103) + -7 + -1 - -20).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 19. Let k = b - 4. Solve -n + 1 + 0 = 3*f, -k*n = -4*f + 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z - 3*z)*(4*z + 10*z - 7*z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -353*l + 307*l + 460 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/1*1*(-1 - 6). Suppose 3*k = u + 53. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35 (b) 2\/21 (c) 1\/3 (d) 31\/4 (e) 274 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1635925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(28) + 1 + sqrt(35)\/sqrt(5))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let d(j) = j**3 - 6*j**2 + 4*j + 7. Let c = 9 - 4. Let b be d(c). Let a(q) = -1 + 3 + b*q - 4. Give -a(r) - 4*z(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1618.6 + 1619.6. What is the fourth smallest value in -17, -0.2, -4, -0.4, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2*10)\/4)\/((-30)\/(-20) + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 11 + 1 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*d + 49. Let b(v) = v - 6. Let m be b(8). What is the third derivative of -l**2 + d + 4*l**4 - 2*l**m - 33 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 - 4*a**2 - 7*a - 7. Suppose k = -3 - 2. What is the smallest common multiple of 6 and j(k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13213112303 (base 4) to base 9\nAnswer: 3672252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**3\/3 + 9*r**2\/2 - 21*r + 5. Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**5\/120 + a**4\/12 - 5*a**3\/3 - 6. Let u(i) be the third derivative of c(i). Determine u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 2*z + 2*z)*(2 - 3 + 0) - 204 + 204 - 23*z in the form n + b*z and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 11*d - 1. Let c(j) = j - 1. Let t(p) = 5*c(p) + z(p). Let l(b) = -8*b**2 + 17*b + 17. Calculate -4*l(y) - 11*t(y).\nAnswer: -y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010010 + 101001?\nAnswer: 101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 24 - 16 = 0. Solve p = 4*u - d - 7, -4*u + 32 = -4*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252 at most 2250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 1220?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 5) to base 9.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(3 + -9) - (-4)\/6. What is the biggest value in u, -0.06, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20957 + 20686.336. Let j = k + 271. Round j to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/1 - 1) + 5. Let k = 51295 - 51258. Solve b*d + 3*t - k = 0, t = 8 - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 7*i + 2*j = 4, -5*i = -2*j + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-153)\/(-72)*(-2)\/3*1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -26. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 11) to base 8.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-56 + 26 - -50) + -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57591?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 259246956 less than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2670933 micrograms to tonnes.\nAnswer: 0.0000000000002670933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, a: 3, j: 1, b: 1, f: 1, y: 5}. Give prob of picking 1 y, 1 a, and 1 b.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464 and 48335?\nAnswer: 22427440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -4*s - 553. Suppose 76*p + 3 = s*p. Solve b - p + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 15*m - 10. Let d be b(-13). Let t be (-186)\/88*d\/(-6). Let s = 1167\/88 - t. Find the common denominator of s and 73\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.022499*0.2\nAnswer: 0.8044998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 26*w + 224. Let g be r(10). What is the third derivative of -99*b**4 + g*b**4 + 25*b**2 + 354*b**4 + 2 + 15*b**2 wrt b?\nAnswer: 7656*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16d - 9644?\nAnswer: -97b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53785571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/60 - m**4\/4 - 5*m**3\/6 - 2*m**2. Let l be p(-5). Is l\/(6\/(-2)) + 55 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -319 + 2237\/7. Suppose n + 2\/7*t - 2\/7*t**2 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*i + 9. What is the derivative of -v**i + 2 - v**4 + v**4 + 3*v**4 wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-935)\/1122*(-2394)\/80 + (-3)\/(-48)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/2 - 20*x**3\/9 - x**2 - 114. Let l(t) = 0. Calculate t.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113201 (base 4) in base 3?\nAnswer: -2001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 - 2 = 0, -l = -5*j + 23. Suppose -17 = q - l*p + 5*p, -5*q + p = 5. Let v be (0 - 0)\/(q + 1). Solve i = -v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(171) + 0 + sqrt(171) + sqrt(171)).\nAnswer: -27*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2439068.82 to the nearest one thousand.\nAnswer: -2439000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2377488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1112 = 560*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -218722.1 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85.37 + -88.8602. What is v rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-9))*f**(-11))\/(f*f**0*f*f\/f**(-2\/5)))**5 assuming f is positive.\nAnswer: f**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = -240. Let z = f + 86. Suppose 0 = -z*q + 30 + 60. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 866.4352 millimeters?\nAnswer: 86.64352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 565987*p**2 + 340098?\nAnswer: 1131974*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*y**2 - 5354*r + 325269*y**2 wrt r.\nAnswer: 2*y**2 - 5354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*u = -2, -4*u = 4*y - 3*y + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 351\/4 + -85. Let p(l) be the first derivative of -l - c*l**4 + 2 - 1\/3*l**3 + l**2. Calculate p(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -h + 21, -2*t - 45 = -7*t + 5*h. Calculate the lowest common multiple of t and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 353\/5. Let t = 3.812 + -2.812. Sort 4, t, -4, w.\nAnswer: -4, w, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718232?\nAnswer: 2, 3, 71593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 9. Determine r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - g - 3, 0 = -2*d - g - 1. Put 1, -14, d in increasing order.\nAnswer: -14, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 divided by 415?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -14. Let m(g) = -2*g - 6*g - 1 + p*g. What is m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828352729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137740, 137791, 137866, 137971, 138112, 138295?\nAnswer: 138526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.6. Sort 0.01, v, -0.5 in descending order.\nAnswer: 0.01, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.92 + 8.92. Which is the biggest value? (a) -34 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719444247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64152925 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*y**4 - 5 - y**2 + 3 - y + 29*y**4 to the form x*y**4 + l + k*y**3 + b*y**2 + z*y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4389 divided by -4389\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 12. What is z(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 4*j - 2*j + (2 + 2 - 2)*(0 + 0 - j) + 3 - 3*j - 3 + (10 - 140 - 18)*(2*j + 0 + 0) in the form m + k*j and give k.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 481 - 479. Solve y + 11 = -2*p, -p + 0*y = -t*y - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/1*(-2)\/4. Let d be 7\/n + (-2)\/(-6). Suppose -2*i = i + 3*p + 272994, -4*i + 5*p - 364010 = d. Round i to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15262*p**2 + 6*p - 6*p + 6*p**3 + 15262*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-10)*36\/432*-40?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/82835665 or 1?\nAnswer: 6\/82835665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -17999*i**3\/6 + 3*i**2\/2 - 2*i. Suppose 4*c = 2*c - 6. Let v be k(c). Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 16048*f**2 - 15*f + 14. Let z be m(1). Suppose -13803 - z = 5*y. What is y rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -494 - -1473. Let x = -693 + a. Suppose 4*v - 2*v = x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 - -286. Put 11, f, 4, -7 in decreasing order.\nAnswer: 11, f, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.1 (b) 3\/4 (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let g(s) = s**2 + 2*s. Let u be g(-2). Let i(z) = -2*z**2 + 5*z**2 + u*z**2. Let h(a) = -3*i(a) - 8*r(a). Find n, given that h(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -2*(-1)\/2. Let v(d) = d - 6. Let x be v(s). Suppose x*a + 0 = 8. Solve t - a*t = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7590 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 44*q + 11515. Let s = 250 + q. Solve -u + 2*n - 6 = 3*n, 0 = 2*u - s*n - 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8)*2)\/1 - -94. Suppose -p = -2*n + 103. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-24)*(1 - (-6)\/(-4)). Let n(d) be the first derivative of -1\/2*d**2 - g*d**3 + 7*d + 1\/4*d**4 + 2. What is n(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(11\/(-11)*(-10)\/(-920)*4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4750*o**3 - 1711*o**2 + 2887715*o.\nAnswer: -28500*o - 3422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let c(f) = -15*f + 2. Give y(c(t)).\nAnswer: 225*t**2 - 60*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/9 + 464\/3393.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30929.\nAnswer: 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/6*377\/((-839202)\/5724)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 578633 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:42 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - 1*(sqrt(147) + -3))**2 - -2*(sqrt(147) + 1 + sqrt(147))) + 5)*4.\nAnswer: 64 + 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*t + 2*t + 273*t + 84*t.\nAnswer: 291*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153219, -306437, -459655, -612873?\nAnswer: -766091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7*v. Suppose -p + 1 = -4*y + 21, v = -3*y + 4*p + 15. Let d(u) = u**2 - 7*u + 5. Determine d(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6745, 13603, 20461, 27319?\n\"Answer: 6858*z - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2315100 and 35900.\nAnswer: 831120900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032 + -1?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from nnmmm.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69985 is divided by 679.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1547930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 19*l**3 - 28*l**2 + 124*l + 183. Let d(n) be the first derivative of b(n). Find the first derivative of d(z) wrt z.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 2\/3 (c) -0.2 (d) -40\/81 (e) -2 (f) -4 (g) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*n - 5 = 0, -3*j + 3*n + 37 = 2*j. Calculate the greatest common factor of j and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, -p - 3*t + 25155 = 2*p. Calculate the common denominator of 2 + 20\/(-9) + p\/2700 and -57\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86095 - 76*a + 85916 - 4*a**2 + 213*a + 5*a**2.\nAnswer: a**2 + 137*a - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1256 and -61\/84.\nAnswer: 26376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16095980*i + 1150 = -16095955*i for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -11, -4, 1\/5 in descending order.\nAnswer: 1\/5, -1\/3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48 and -22.\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(1\/6)*l))**(2\/3) assuming l is positive.\nAnswer: l**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/95 and -25\/57.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164.3 + 164. Does o = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from {p: 5, j: 2, n: 7}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 6*u**2 + 6*u - 9. Let h be g(-7). Let f be (-8 + (-3681)\/(-459))\/(3\/h). Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 7*t + 21. Let i be k(-11). Is i + -4 - (-6 - -6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wakpkp. Give prob of sequence wapk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 238464 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -32. What is the first derivative of -10 + 7 + u*y**2 + y**2 - 9 wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 313142122?\nAnswer: 313142131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 y when four letters picked without replacement from {y: 3, g: 9, s: 1, f: 6}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 2, 0.07, -0.4, -38 in decreasing order.\nAnswer: 111, 2, 0.07, -0.4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*i + 93 - 465 = 1812 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*c**3*h*n**3 + 2*c**3*h*n + 3*c**2*h*n**2 - c**2*h*n + 16*n**3 wrt c.\nAnswer: -1152*h*n**3 + 12*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0 + n + 3\/2*n**2 + 1\/2*n**3. Differentiate o(l) with respect to l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, 524, 532, 544, 560, 580, 604?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.451634 rounded to one decimal place?\nAnswer: 29.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*f - 2 = 0, f + 2 = 4*k - 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5\/7)*v)\/v)\/v*v*v*v)**(-1\/13)*(v*v**(-21)\/v)\/v**(-27\/2) assuming v is positive.\nAnswer: v**(-1383\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:44 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2 + 22. Let a be 12*(-2)\/(6\/(-1)). Solve 3*g = a*t - m, -2*g + 0 = -2*t + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b*c**2*j**2 - 2*b*c**2*j - 3*b*j**2 + c*j**2 - 203*c*j wrt j?\nAnswer: -10*b*c**2 - 6*b + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 - 14 = 0. Let d = s - -64. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -300*s**2 + 1226*s - 105. Give y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4 + 2\/(-4). Let u = z + 8. Solve -3*b = -u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-1)\/(-6) - 45\/(-27). Let p(l) = 4*l**2 + 4*l**2 + 2*l - 3 + 23*l**3 - 13*l**2 + 6*l**w. Let s be p(1). Solve z - 5*i = 17, -s = z - 0*z + 5*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(13\/2)*t*t*t*t**(-12\/7) assuming t is positive.\nAnswer: t**(109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -75*m + 14. Let j(z) = 32*z - 6. Let x(d) = -3*h(d) - 7*j(d). Let p(g) = 158*g. Give p(x(c)).\nAnswer: 158*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.171 + -0.5909648547.\nAnswer: -0.4199648547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2471, 3, 1.\nAnswer: -2471, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) - 1 - (-22)\/33. Let c be (3 - 6) + (i - 1). What is the second biggest value in -0.1, c, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 479\/2795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 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: Factor 4*u - 13\/6*u**3 - 5\/3*u**2 - 1\/6*u**4 + 0.\nAnswer: -u*(u - 1)*(u + 2)*(u + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10646.491 to the nearest ten.\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2238712037 and -22.4279.\nAnswer: -2238712059.4279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17441672 is divided by 49.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 4, -5 in ascending order.\nAnswer: -7, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2. Let p be ((-2)\/(-2))\/(-2)*-22. Let n be 2\/(-1) - (1 + -10). Let h(d) = 7*d + n*d - p*d. Calculate h(c(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) 19 (c) 0.25 (d) 5\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 10:01 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - x**2 - 2*x + 13. Let g be i(0). Let r(d) = -5*d + 26. Let a be r(g). Are -38 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 6*w + 2. Let k be h(-6). Find the third derivative of 5*a**5 + 14*a**5 + 6*a**2 - 25*a**k wrt a.\nAnswer: 1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6330 and 66.\nAnswer: 69630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 12*v - 9. Let c be a(11). What is the third derivative of -m**2 - c*m**3 + m**3 + 3*m**2 wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, -17, 0.4 in descending order.\nAnswer: 4, 0.4, -17, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2062106007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -102035414 (base 6) to base 13\nAnswer: -4a3401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (277\/1108)\/((-1)\/(-3))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 1004 in decreasing order.\nAnswer: 1004, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/4 + 2\/(-4))\/(-1). Let z be (15 - 15) + p + 7. Factor -3 - 8*f**2 - 7 + z*f + 13*f**2.\nAnswer: 5*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56315892?\nAnswer: 2, 3, 53, 88547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1782 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-8)\/12 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133) - (sqrt(133) + (-1*sqrt(133) - sqrt(133)) + sqrt(133))*5 - sqrt(133)))\/(6*(sqrt(7) - sqrt(252))))**2.\nAnswer: 19\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-3) - (-1 - 2). Solve 1 = y + g - 3, -v*g = -4*y + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/90)\/(77\/445445*89).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 10:12 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 9613\nAnswer: 2883.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 680991 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 9*y**2 - 51*y - 24. Give s(-10).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 425393 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -12. Let a = 13 - 9. Calculate the remainder when i is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818 is divided by 179.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/2 - 2) + (-3)\/2. Let k(v) = v**3 + 10*v + 0 + 1 - f*v + 8*v**2 + 6. Suppose 4*d - 8 = -36. Give k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1993*m + 15360 = -2313*m for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282)\/2*(-62)\/(-12)*(-148)\/(-2294).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + w + 8, -5*g + 21 = -5*w + 6. Let t be (-1)\/((g - 0)*1). Let n = -7.7 + 8. Which is the third smallest value? (a) n (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from tusulsstsut?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8230262*0.2.\nAnswer: -1646052.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1. Let u(c) = -2*c - 4. What is -3*m(n) + u(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, -381, -1\/3, -0.121, -4, -0.5, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.86?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or 939167?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -81, -94, -123, -174?\n\"Answer: -v**3 + v**2 + v - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 17, 0.07, 3.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6.8, -1\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8143425ml in litres?\nAnswer: 0.0008143425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123605?\nAnswer: 5, 59, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0134, -4.5, -11, 1\/4?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596608659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6235991 by -35.\nAnswer: 6235991\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/(-125)*(-1)\/((-6)\/(-15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78612356.\nAnswer: 2, 53, 370813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**2 + 96*m + 90. Let h be r(-11). Solve 2*z + s - 2 = 5*s, z + h*s - 9 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -5 (b) 0.2 (c) -251\/12 (d) -4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -292067643 or -292067640?\nAnswer: -292067640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w + 3 - w**3 - 2*w**4 + w**3 - 1 to t*w**2 + v*w + l*w**3 + u*w**4 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 340, 76, -1.7, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 6.99. Let g = 3 - u. Which is the third smallest value? (a) -1\/2 (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r - 10 = 0. Let t = 23 + -23.4. Which is the third smallest value? (a) r (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 3\/5, 0.22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -952*z - 17136. Let o be u(-18). Let b(a) = -a - 3. Let d be b(0). Let k = 5 + d. Solve o = k*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2\/(-3) + (-2604)\/36. Let u = -226 + 152. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/v*v*v*(v\/(v*v**(1\/6))*v*v)\/v*v**5*v**(-1\/5)\/v)\/((v\/v**(2\/19))\/(v*v\/(v**0*v)))**(10\/9) assuming v is positive.\nAnswer: v**(18811\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd + -1888c?\nAnswer: -187ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3532.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2350, 2331, 2284, 2197, 2058?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1761973 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + 5939. Suppose 3*s = -4*b + x, -5343 = -4*s + 4*b + 2389. What are the prime factors of s?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 18*v. Calculate c(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/30)\/(((-8)\/60)\/((-10)\/(-15)))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/31 - -56\/93. Let t be 24\/(-96)*(-1 + 0). Sort t, r, -0.1 in decreasing order.\nAnswer: r, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808, 806, 804, 802, 800, 798?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 172318968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/664589 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -67b5 (base 16) in base 5?\nAnswer: -1322144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*h + 4*c, -3*h + 5*c = -h + 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*o - 126816 = 0, -9*o = -k - 4*o - 25380. What is k rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 7*q**2 - 8*q + 2. Suppose 4*b - j - 3 = 2*b, 2*b - 7 = 5*j. Let r = b - 9. Let n be v(r). Solve z + n*c = -6, 0 = 5*z - 4*c + c + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -568, -0.3, -3, -44, -0.5.\nAnswer: -568, -44, -3, -0.5, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Is x\/((-1)\/3)*11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s + 0 + 0*s**2 + 0*s**3 - 1\/4*s**4. Let q(v) = -34*v + 13*v + 2*v**2 + 7*v + 14*v. Determine q(y(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**2*k**2 + 3*i**2*k*s - 2*i**2*s - 2*i*k**2*s - 4*i*k**2 + 13*i*k + 2*i + 4*k**2*s - 2*k wrt k?\nAnswer: 22*i**2 - 4*i*s - 8*i + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 38643*v**3 + 579084*v**2 + 1466796*v + 926352 = 0. Calculate v.\nAnswer: -12866, -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17527865 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(132) + 6*(sqrt(132) + -1*sqrt(132)))\/(sqrt(432) + ((1*sqrt(432) - sqrt(432) - sqrt(432)) + sqrt(432))*-3))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (6 + 3)) + (17 - 18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 8 (c) 5\/2 (d) -5\/3 (e) -2 (f) 269.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12587977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (7 + -19)) + (0 - -2 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20012101222 + -120?\nAnswer: -20012102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -14. Factor -87*w**3 + 0 + 32*w**2 - 4*w**5 + 111*w**3 + 0 + m*w.\nAnswer: -4*w*(w - 3)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -7\/31930, 4 in increasing order.\nAnswer: -3, -7\/31930, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Are 9 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 826, 1638, 2440, 3238, 4038, 4846, 5668?\n\"Answer: g**3 - 11*g**2 + 838*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.208 - 0.508. What is the closest to 2 in -1.5, -2\/43, t?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73.1 + 149.8. Let i = t + -78. Let u = 1.3657 + i. What is u rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = -3*m + 188. Suppose -m = -6*b - b. Suppose 42*l - 12 = b*l. Let h(q) = -q + 3. Let o(g) = 2*g - 4. What is l*h(t) + 2*o(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2141.776 litres to millilitres.\nAnswer: 2141776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 11) to base 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 8*b**2 + 64*b + 2. Calculate r(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + y - 40 = 0, -3*t + 7*t - 85 = 5*y. Solve t*v + 18 = 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/2 + (-108177)\/(-214)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118333489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = -4*d - 26*y + 11, 5*d - 2*y - 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, 8, 3, -749, -1 in ascending order.\nAnswer: -749, -5, -4, -1, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-836) - (-36473682)\/900372.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15 - 5234*l - 9 + 18 - 44174*l + 16. Let q be z(5). 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: Let y(t) = -t**2 - 7*t + 1. Let b be y(-6). Calculate the common denominator of b\/(3*3\/7) and (-62)\/8 - (-24)\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -13, -4, 3, -1 in increasing order.\nAnswer: -13, -4, -1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/20 + 11*g**4\/24 - 3*g**3\/2 + g**2. Let a be u(8). Let q = 192 + a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 + (-75 - (-8 - -178))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.146 + 24.546. Let f = z + -22. Let c = -1.45 + f. Round c to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68939202 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6068 by -164.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -5, 21, 67, 139, 243, 385, 571?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 >= 834\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178080 and 56.\nAnswer: 178080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25711504*z**4 + 191344*z + 9.\nAnswer: -308538048*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1598)\/(-935) - (-32)\/(-40). What is the smallest value in -0.2, 4, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j + 29 - 33 + 26*j + (-5 + 1 + 2)*(1 - j - 1) + 0*j + 4*j - 5*j + 2*j + 4*j - 5*j to the form u*j + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, 6, 120, 280, 486?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92\/(-598) + (-3424194)\/39. What is d rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-12)\/14*322\/(-460).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 71\/2*r**2 + 1\/4*r**5 + 0 - 211\/4*r**3 + 17*r**4 + 0*r = 0.\nAnswer: -71, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168476?\nAnswer: 2, 7, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 41*b**4\/12 + 12*b. Let n(u) = 12*u. What is n(o(m))?\nAnswer: 492*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-54)\/(-36) + -1*58964\/(-8).\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {l: 1, b: 4, v: 1, q: 2, c: 3, k: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8079 = 22*y - 43863. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*j + 131319 - 658*j - 262643 + 131318)*(2*j - 2 + 2).\nAnswer: -1010*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01221 and 0.04.\nAnswer: -0.0004884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 41034238\nAnswer: -16413695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -213340 (base 7) in base 16?\nAnswer: -9163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32876198 plus 6?\nAnswer: -32876192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*s + 1567 = -2858 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 498445 take away 0.23?\nAnswer: 498444.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/30 + 281*v**5\/60 + 5*v**4\/6 - 283*v**3\/6 - 5*v**2 - 22*v - 12. What is the second derivative of n(r) wrt r?\nAnswer: -24*r + 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/21, -97975?\nAnswer: -97975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.24 - -0.04. Let h = q + 0.6. Put h, 0, -3 in decreasing order.\nAnswer: h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-5104)\/(-33514) + (-10)\/65). Let p = w - -1285\/2578. Factor p*d + 1\/2 + 1\/8*d**2.\nAnswer: (d + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105.96 + -106.46. Which is the closest to -21\/5? (a) g (b) -0.06 (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32248115, -5, -2, 5 in decreasing order.\nAnswer: 32248115, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11727 + 5863 + 366700*z + 5864.\nAnswer: 366700*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -132. Let b = -82 - -88. What is the greatest common factor of m and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a - a)*(-2*a**2 - 3*a**2 - 3*a**2).\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*d - 3190 = -387*d. Calculate the smallest common multiple of 40 and d.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -31*o. Let q be a(3). Let p = -47 - q. Let h = p + -26. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + v - 24 = 0, 0 = -37*r - 44*r + 77*r + 3*v - 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 2:32 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -230, -464, -698, -932, -1166?\n\"Answer: -234*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9999952 - 4. What is n rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 822 divided by -59\nAnswer: -822\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -66753 (b) -3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 + -4 - (-2 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 5:44 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666, 1339, 2014, 2691, 3370?\nAnswer: 4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/360 - k**5\/15 + k**4\/8 + k**3\/2 - k**2. Let v(n) be the first derivative of h(n). Determine v(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 0 - 279*p - 7 + 33*p to s + h*p and give h.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose -d = l, -l + x = l. Let h(c) be the first derivative of 5*c**2\/2 - c - 2. What is h(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 34 = 4*l + 4, -4*l + 56 = 4*t. Suppose t*b = 15*b + 54000. Round b to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 7*f + 269. Suppose f*j - r = -j + 13, -4*r + 8 = 0. Solve -j*t + 13 + 7 = -5*m, 5*t + 2*m + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 374772601500282*v + 374772601500282*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 2, w: 1, q: 11, i: 3}. Give prob of picking 1 b and 2 q.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - -2*(-1)\/(-2). Let n be -3 - ((-80)\/15 - j). What is the smallest value in n, -3\/5, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2443 = 8*n + z, -n + 483 = 3*z. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -85, 5\/4, 14, -4, 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38, 0.5, 0.09, -6, 2\/21, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 75 + 3*q + 75.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5936*o + 792*o**2 + 4*o**5 + 532*o**3 - 1778*o**2 - 1382*o**2 + 104*o**4 - 3136 = 0. What is o?\nAnswer: -14, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12416 (base 7) to base 14\nAnswer: 12b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221 - 71 + 59 + 35821*j**2 - 35940*j**2 + (-1 - 4*j**2 + 1)*(0 + 1 - 2) to the form m*j + z + c*j**2 and give c.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29aa1 (base 12) to base 5.\nAnswer: -3333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8659823 and -3328480.\nAnswer: -11988303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w + 1 - 23*w - 36*w - 3.\nAnswer: -90*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/(-4) - 1) + (-39)\/(-52). Suppose -60 - 52 = -r*b. What is the highest common factor of 168 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:48 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**5\/20 - q**4\/12 + 4*q**2 + 8*q. List the prime factors of j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/(-7)*(2 - 9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 10. Let k = 53 - c. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/9*903\/(-1)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097 + 3303204584237?\nAnswer: 3303204584237.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -442 - -837. Is 79 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Suppose 4*o + c - 10 = -o, -r*c = -3*o + 29. Suppose 5*f - 20 - 4 = -o*q, -12 = -5*f + q. Solve -3*h - f = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = s + 22, -3*v + 18 = -4*s + 2. Calculate the highest common divisor of 12 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -t + 3, 4*q + t = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 419*v**3 + 2*v + 2*v.\nAnswer: 419*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r - 21. Let f be (-47)\/7 + 4\/(-14). Let p(k) = -5*k - 21. Let l be p(f). List the prime factors of t(l).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4\/9 + 476*l**3\/9 - 2452*l**2\/9 + 3460*l\/9 - 496\/3 = 0. What is l?\nAnswer: -124, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4656 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b - 11*b**3 - 49*b - 15*b**3 - 9*b + 29*b.\nAnswer: -26*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. What is the remainder when (t - 5) + 1\/((-5)\/(-310)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14974 greater than -15098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - 2.97. Let t = -0.9372 - 0.0628. Which is the second biggest value? (a) t (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(144)*-4 + ((sqrt(144) - (sqrt(144) + 1*sqrt(144)))*3 - sqrt(144) - sqrt(144)))\/((-2*sqrt(48)*2)\/(5*-1*sqrt(6)))*6.\nAnswer: 135*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 44. Put 1\/3, g, 5, -0.2 in ascending order.\nAnswer: -0.2, g, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149398140 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 47 = -2*i, 0 = 3*l - 2*i - 67 - 82. Suppose -l - 24 = 3*r. Let q = 43 + r. Solve 0 - 14 = 3*g - s, -3*s = -g - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6604306 by -4.\nAnswer: -3302153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -36, -107, -234, -435, -728, -1131, -1662?\nAnswer: -2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13517 - -5.13517. Which is bigger: g or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000111101110 - 1010000?\nAnswer: -1011001000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13230 - 10?\nAnswer: 13220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 294 - 291. Which is the closest to 2? (a) -4 (b) -3.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/92 + 701\/644. Let h = 3 + -1. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/3 - 38051*w**3\/3 - 120675574*w**2 - 1085813824*w\/3 - 723825152\/3 = 0 for w.\nAnswer: -19024, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140782 - 140781 + 281563 - 4*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2905*q + 317669 = -1714*q + 2460*q + 109562 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*p + 5*v - 22944, 2*v = -4*p + 30592. List the prime factors of p.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o**4 - 696*o**3 + 1167*o**2 - 354*o - 144 = 0. What is o?\nAnswer: -2\/9, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1044 = 3*a - 3*i, i - 309 - 47 = -a. What is the lowest common multiple of a and 6?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8750 and -83\/127200.\nAnswer: 22260000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1305\/46, -5, -1663?\nAnswer: -1305\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 483 = 357. Round p to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -5) + 9905 + 36\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i. Let s(a) = 2*a**2 - 3*a. Let f be s(2). Suppose 0 = -v - 0 + f. Let r(t) = 3*t**v - 40 + 19 + 21. Calculate r(o(w)).\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1806630 is divided by 451651.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-7)\/(210\/6)). Suppose 0 = 15*f - l + 65. Put -4, 0, -2, f in increasing order.\nAnswer: -4, f, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v - 5*v**2 + 9*v**2 + 6*v**2 + 4*v.\nAnswer: 10*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from mmrrrmrnnr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -106. Let f = d - 28. Which is the nearest to f? (a) -5 (b) 1\/5 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79742 by -1458.\nAnswer: 39871\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 - 7 + 3*y**2 - 5*y**2 + 6*y**2 + 3*y**2. Let w(c) = -3*c**3 + 5*c**2 - 5. Calculate 5*i(f) - 7*w(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*a**5 - 3*a**2 - 11*a wrt a?\nAnswer: 3180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1755143, -3510280, -5265417, -7020554, -8775691?\n\"Answer: -1755137*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681434726.6 rounded to the nearest one hundred thousand?\nAnswer: 681400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*w**3 + 0*w + 2\/3*w**4 + 0 - 4*w**2.\nAnswer: 2*w**2*(w - 2)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 463815 and 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4905876.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + (-19 - (14 - (-15 + 17)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 23*i = -96 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8196891 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 a(x) = 2*x**2 - 6*x. Let i be a(2). What are the prime factors of i\/((-3)\/((-462)\/(-4)))?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3194.728 centimeters?\nAnswer: 31.94728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73873009.\nAnswer: 7, 541, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.816624 decades in years?\nAnswer: 88.16624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/2 - 1177*m**3 - 6945*m**2\/2 + 126954*m = 0.\nAnswer: -2351, -12, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -15*l + 13*l + 5794, -4*l + 11588 = 5*m. What are the prime factors of l?\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - o. Let v(y) = -41*y**2 + 19*y + 57. Let k(f) = -13*f**2 + 6*f + 18. Let n(c) = -19*k(c) + 6*v(c). Give j(b) - 4*n(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 16) to base 12\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/((r**(-1\/11)*r)\/r))**(-10)\/((r**(3\/2)*r**2)\/(r*((((r*r*r**(-1)*r)\/r)\/r)\/r)\/r)**(1\/50)) assuming r is positive.\nAnswer: r**(1532\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 33*w**2 - 26*w - 222. Calculate h(32).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*d + 16*d = -10*a + 14*d + 13, -5*d + 3 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 224\/(-36) + (-4)\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232981336?\nAnswer: 2, 7, 4160381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 9*r + 3. Let o be a(-9). Suppose -64 - 224 = o*k. Let z = -46 - k. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -56. Suppose 8 = -q*l + 280. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800988291 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68694743 and 11336.\nAnswer: 549557944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/51, 0.3, 121, -1\/97 in descending order.\nAnswer: 121, 0.3, 10\/51, -1\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (-1 + sqrt(605)))*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:10 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181.9 + 1.1. Let c = -182.9999895 + v. Round c to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -49*d**4\/8 + 685*d**2. Let g(k) = 3*k**2. Calculate g(n(j)).\nAnswer: 64827*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 1689 and 3.4.\nAnswer: 1692.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.5541 rounded to 1 decimal place?\nAnswer: 547.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 269021 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose r*s - 7*s + 2*i = 0, 0 = i - 5. Find q, given that q**4 - s*q**4 - q**2 + 2*q**3 + 4*q**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9458*c**4*k**3*r + 128*c**4*k**3 - 30590*c**2*k + c**2*r + 20*c*k**3*r wrt c.\nAnswer: -226992*c*k**3*r + 3072*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, -31, -1 in descending order.\nAnswer: -1\/5, -1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18) - 22\/(-18). Let u = h - -2. What is the third derivative of -u*z**3 + 3*z**3 - z**6 + 2*z**2 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 2, p: 1}. What is prob of sequence of?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 6. Let f = 14 + -8. Suppose -2*c - f = -3*a, -4*c - 4*a + 8 = -6*c. Determine k(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177708300 and 1320.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 0, 0 = -4*x + 3*k - 3. Suppose x = 3*s - 45 + 12. Suppose -1 - s = -4*d. Which is greater: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 7*c**2 - 8*c - 5 + 7*c**2 - 13*c**2. Let n be s(9). Solve -n = -0*i - 3*i + 5*t, 4*t = 2*i - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1. Let s = -4 - -6. Let w(c) = -7 + 3*c**2 - 2*c - 2 - c**s. Let y(i) = 4*n(i) + w(i). Let j(z) = z**2 - z - 4. Calculate 4*j(u) - 3*y(u).\nAnswer: -2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 319567470 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/8*36\/56*-8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 7*c**2 - 5*c - 4. What is the units digit of y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19263*h**3 - 53476*h**3 - 22903*h**3 + 0 + 0.\nAnswer: -57116*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*((-69)\/322)\/(81\/(-36))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 + h + 130. Let x be j(0). Let k be 2\/3 + x\/(-15). Let z(v) = v**2 + 8*v + 3. Let s be z(k). Solve -3*f - o = -2*o, -2*f = s*o + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -105*h - 208. Let z be p(-3). Solve 0 = -5*c + 112 - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 22981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, 5, 3\/4, -51\/752.\nAnswer: -2\/11, -51\/752, 3\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-153)\/(-1444)) + 2\/(-3). Let f = -3292\/119 + w. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -29. What is the remainder when -4 + (10\/(-5) - -175) is divided by l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10095+-6009927.561\nAnswer: -5999832.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 331*x**2 + 5 - 5 - 411*x**2.\nAnswer: -80*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1 + 4*j - 4 - j + j**2. Suppose -3*m - 3*q - 9 = 0, 4*q = -6*m + m - 16. Calculate g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(640)*-1)\/(-5*-3*sqrt(6)\/sqrt(3)) + 3 + -5)*4)**2.\nAnswer: 512*sqrt(5)\/15 + 3904\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -14*n + 306. What is the highest common factor of 85 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 813?\nAnswer: 80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11804 by 13.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-56)*-2)\/(9\/36). Let p = 0.0682 - 1.0682. Sort p, 1, s in descending order.\nAnswer: s, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (35\/210 - 11\/30). Is 31 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {f: 3, b: 5, c: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1459 * -143.\nAnswer: -208637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 16 + -6 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -3904*i + 3914*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*m**3 - 33*m**3 + 1119*m - 1120*m + (-m**2 - 3*m + 3*m)*(2*m + 0 + 0).\nAnswer: -61*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + f + 3. Let y(g) = -4*g**2 - 2. Let k(m) = 2*l(m) + 3*y(m). Find the second derivative of k(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230680 is divided by 243?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 14065 and 14065 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, j: 1, h: 1, o: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25770, 206259, 696278, 1650591, 3223962, 5571155?\n\"Answer: 25794*o**3 + o**2 - 72*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 100442, 1\/2, -5?\nAnswer: 100442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480095 and 52675.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 11}. Give prob of sequence wfw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 13525536 and 13525537 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(60)\/sqrt(5))\/sqrt(4)*-1 - (3*sqrt(300)*4)**2).\nAnswer: -43203 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 17 = -a, -2 = 5*a + 5*o - o. Let y = a + -2. Suppose y = 5*t - 3*n - 38, 0 = -5*t + 4*n + 65 - 26. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -87.82. Let y = j + -1.126. What is y rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1836045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 344.5 - 323. Let t = 7.5 + q. Which is the second smallest value? (a) t (b) 2\/23 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/28)\/(105\/(-13720)*-182)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6)\/(-3) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46765400?\nAnswer: 2, 5, 11, 29, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1276\/132 + (-8)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + (-256)\/528?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let i = 16 - -20. Calculate the remainder when 11 is divided by (a\/3)\/((-8)\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 9. Let r be m(-5). Let a = 16 + r. Solve -w - 2*w = 15, -5*v + 5 = a*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.4 (b) 1 (c) -31\/4 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -159*v - 3. Let n(i) = -4*i**2 + 2237 - 4480 + 0*i**2 + 2243. Give n(l(u)).\nAnswer: -101124*u**2 - 3816*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14734, 14733, 14728, 14719?\n\"Answer: -2*k**2 + 5*k + 14731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 4*w + 364 = 0, -176 = -m - w. What is the smallest common multiple of 160 and m?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 128692?\nAnswer: 514768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -142. Factor i**3 - a*i - i**2 + i**4 + 0*i**2 - 38*i + 65*i.\nAnswer: i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 94 = -n, -2*n + 3*j = n - 264. What is the smallest common multiple of n and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-45) + 5 + 77\/(-15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 15*f - 22*f. Calculate the least common multiple of f and 622.\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*d + 2614, 3*l - 7887 = -3*l - 3*d. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17725015135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767096 at most 6767096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1618 times -0.7\nAnswer: -1132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(135\/(-5)) + (-64)\/(-3). Solve 3*f + 15 = p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y**2 - 3*y. Let o(v) = -v**3 - 2*v**2 - 4*v. Calculate -6*m(p) + 5*o(p).\nAnswer: p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 141.03, 17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*h = -7*g - 10, -3*h = 5*g - 20. What is the units digit of -2 + g + (-1 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haalsagjaslas. What is prob of sequence hljs?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000210245 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7268029 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -209*u + 2. Suppose 7 = -5*b - 3. Let l be h(b). Suppose l + 344 = 4*c. What are the prime factors of c?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1.546.\nAnswer: 1.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60\/7 - 54\/7*o + 54\/7*o**3 + 66\/7*o**2 - 6\/7*o**4 = 0. What is o?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -795 - -426. Let u = -137 - r. What is the greatest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 765557, 765481, 765353, 765173, 764941, 764657?\n\"Answer: -26*q**2 + 2*q + 765581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5 + 3244470*l**4 - 526309811680*l**3 - 6316188197010*l**2 + 526309811685*l + 6316184952540 = 0.\nAnswer: -12, -1, 1, 324453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/22 + (-334)\/(-22). Let j = a - -2. Let y = 42 - 25. Calculate the greatest common factor of j and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594930 < 1594930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 - 2*r + 3. Let h be j(-5). Let n = -4 + 7. Suppose 5*s = 3*o + 31, s + o = n*s - h. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18848000 to the nearest one hundred thousand.\nAnswer: -18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*h + 16, -5*w - 19 = h + 2*h. Suppose 0 = h*a - 4478036 - 12933720. Suppose 3605878 = s + a. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -1077206.\nAnswer: 969485.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 29. Let v(y) = y**2 + y + 1. Let a(b) = -b + 1. What is q*v(c) + a(c)?\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -232. Let w = g + 87. Suppose 0 = -w*v + v - 2. Let n(i) = -3*i**3 + 2*i**2 - i - 2. Determine n(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9072) + -4*sqrt(9072)*-1)*5)**2 + 4)*3.\nAnswer: 17010012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + a + 312, -3*h - 9*a = -13*a - 234. Calculate the smallest common multiple of 117 and h.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**3 - 3*g**2 - 3*g. Let a(z) = -9*z**3 - 5*z**2 - 5*z. Give 3*a(k) - 5*q(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/77 - (-842)\/(-7). Let t = u - -122. Suppose t*q - 323 = -5*r, 4*r = -2*q + 71 + 189. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - 99141721971.\nAnswer: -99141721972.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-2 - -5) + 48\/44. What is the nearest to -8 in f, 2\/7, -0.2, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3252)\/(-542) - ((4 - -1) + 127).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 451 - 451. Let r*d + 2\/5*d**2 + 0 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1450014 (base 6) to base 16.\nAnswer: 1491a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*d + 52925 = 50955 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1668811+-0.18\nAnswer: -1668811.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 10. Let p be w(7). Let c(x) = -x + 2. Let a be c(-4). Factor -4 + a*g - 4*g**3 + 4*g**3 - 2*g**p.\nAnswer: -2*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -326*g**5 + 4*g**4 + 10965*g**3 - 480158808*g**2 + 2*g.\nAnswer: -19560*g**2 + 96*g + 65790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43616*t**4 - 32616 wrt t?\nAnswer: -174464*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000438303036 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2) + (3 - -10). Let f = z - 5. Let j(m) = m**2 - 4*m - 6. What is the units digit of j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52689673 to the nearest integer?\nAnswer: 7259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 10*m**2 + 26*m + 1. Let y be v(5). What is the fourth biggest value in 2\/13, 2, y, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630018944.\nAnswer: 2, 23, 173, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12 = 3*d, -4*f - 2*d - d = 13. Let m(l) = 5*l**3 + l**2 - l - 1. Calculate m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqhqqqqhhhhh. What is prob of sequence qhhh?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**7\/70 + q**6\/5 - 21*q**5\/20 + 9*q**4\/4 - 50*q**2 + 148. Let p(t) be the second derivative of z(t). Factor p(m).\nAnswer: -3*m*(m - 3)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k + 16. Let f = k - 1. Let t be (12\/f)\/(-1 - -3). Is t != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14560 - 16306. Is -1746 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 3*u**2 + 11 - u**3 + u - 9 + u**2 to a*u**2 + r*u + o + k*u**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24189821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 507 + -511. What is the nearest to d in -1, -2\/7, 5, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/13 + 4*l**4 + 446*l**3\/13 + 560*l**2\/13 - 1056*l\/13 = 0.\nAnswer: -4, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 70 + 1\/45*c**5 - 1\/54*c**6 + 0*c + 1\/36*c**4 - 1\/27*c**3 + 0*c**2. Let m(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475240761 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 4*g + 2. Let q be c(-5). Let l = q - -1. Let z(k) = k + 2. Let x be z(l). Let j(i) = -i**2 - i - 5. What is j(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6) - (-3991)\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*j - 3118 = 62*j + 11462 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02933 rounded to 4 decimal places?\nAnswer: -0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 49*b - 4*b**3 - 22*b + 70*b - 12*b**3 + b**3.\nAnswer: -17*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4603911 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9451 + 14695. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 424*w**2 + 4945*w - 1763. Give f(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*d**4*k**2 + 1400*d**4 + 20613*d*k**2 - 53*k**2 wrt d?\nAnswer: 564*d**2*k**2 + 16800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 79*z**2 - 318*z**2 + 3*z + 646*z**2.\nAnswer: 249*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -25)\/(-5 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55617586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573, 537, 477, 393, 285, 153, -3?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/3))*a**7)**(-12) assuming a is positive.\nAnswer: a**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (5 - (-2)\/(-2)). Suppose 0 = -4*t + 13 + 3. Solve t = -r*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmtt when four letters picked without replacement from {m: 4, t: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, -3, 4, -0.2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -157543 (base 9) in base 16?\nAnswer: -17c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 13*w - 5*w + 0 + 0 - 2*w - w - 2*w + 0*w + (0*w + w - 2*w)*(0 - 1 + 0) - 3*w + 3*w - 2*w in the form z*w + x and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2389*a + 90*a**2 + 122 - 5113 + a**3 - 70*a**2 - 18*a**2 wrt a?\nAnswer: 3*a**2 + 4*a - 2389","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*m + 11205. Calculate the common denominator of 28\/39 and (m\/252 - 5)\/(2\/(-92)).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {b: 6, l: 5, q: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 19*w - 14*w + 35, -4*l = 4*w - 28. Solve -9*k = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1508 and 12190.\nAnswer: 1838.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - s + 7, 5*s - 10 = -0. Let t be (102\/28)\/a*-54. Let c = t - -197. Is -1\/4 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*b = 0, -4*b + 3*b - 58 + 53 = 0. Factor 0 - 6\/7*f**g + 18\/7*f.\nAnswer: -6*f*(f - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -17, 4, -636, -1\/3, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, 2\/13, -1\/3, -17, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 10:27 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*b + 12*b + 12*b)*(-8 + 8 - 2*b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.952 millilitres in litres?\nAnswer: 0.577952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 7 - 2)*((0 - 4*q + 0)*(4 - 4 - 3) + 11*q - 3*q - 28*q) in the form s + p*q and give p.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:03 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1996325 and -2?\nAnswer: -3992650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1202*a**3 + 25 - 7*a**2 - 25 + 17*a**2.\nAnswer: -1202*a**3 + 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -5)\/(-4))\/(1110\/11100).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*d = 74*d - 12. Let g(p) = 5*p + 5 - p + 1. Calculate g(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 7*o - 3*f, 388*o = 391*o + f - 8. Solve 0 = o*s - 2*n + 1, n - 17 = s - 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73 - 3*r**2 - 11 + 165 + 2*r**2 as x + t*r**2 + s*r and give x.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 59. Let x be k(-18). Let g be 0\/x - 5 - -30. Solve -7 = s - f, -s - 3*f = -6*s - g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 134. Let q be (-634)\/(-18) - 2\/9. Suppose x + 20 = h, -q = 5*h - x - 135. Solve -y*u = 5 - h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/62098957?\nAnswer: 1\/62098957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1556\/11 - -140. Let s = -69\/55 - u. Suppose 13*n + 6 = 7*n. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.346356um to nanometers.\nAnswer: 346.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221122221 (base 3) in base 8?\nAnswer: -112770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1194777.00004 - 1194803. Let t = u - -26. Round t to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 1.5, 2\/5 in ascending order.\nAnswer: 2\/5, 0.7, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 211, 221, 235, 253, 275, 301?\n\"Answer: 2*k**2 + 4*k + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162 + 226 + 290)*(-2 + 1 + 3)*(7*v**3 - v**3 - v**3).\nAnswer: 3540*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 + 890*d**3 + 8285*d**2 - 2787480*d + 49047120 = 0. Calculate d.\nAnswer: -116, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.18461\nAnswer: -0.92305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3171 + -4447. Let b = p - -7705\/6. Calculate the common denominator of 1\/(-1) + 16\/36 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3*c + 4. Let l be b(-1). Find the third derivative of -5*p**l + 119*p**5 + p**3 - 102*p**5 - p**3 wrt p.\nAnswer: 1020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645480429 to the nearest integer?\nAnswer: 25406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4271127.\nAnswer: 3, 7, 203387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7598, -29867, -66982, -118943, -185750, -267403?\n\"Answer: -7423*n**2 - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26 + -0.74. Let v = -4212 + 8423\/2. Let d = 9 - 13. Which is the closest to -0.1? (a) d (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21 from 0.867186665.\nAnswer: -20.132813335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 446 and 0.004.\nAnswer: 1.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 0.2, -6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20133012212 - -4?\nAnswer: -20133012203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 4116*h\/11 + 953344\/11.\nAnswer: 2*(h + 266)*(h + 1792)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3504\/(-73) + (1 - (-5)\/((-20)\/4)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4070 + 16157\/4. Suppose -9*a + 5*g = -11*a + 47, 0 = -g - 3. Let n = a + y. What is the closest to 1\/2 in n, -2, 0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 4*d**2 + 3*d**2)*(-9*d**2 - 150*d**2 + 14*d**2 - 40*d**2).\nAnswer: 555*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 1 + 0*q**2 + 1\/4*q**3 + 9\/40*q**6 - 6*q - 3\/40*q**5 - 9\/16*q**4. Find u, given that t(u) = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 9*y**2 - 10*y - 30. Suppose 3*n = -3*n + 96. Let g be -13 + n + 7 + -1. Let c be s(g). What is c rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 4*k**4 - 2*k**5 - 23*k + 69*k + (-k**4 + 3*k**4 - 14*k**4)*(3*k - 3*k + k) - 4*k**5 - 3*k**5 + 5*k**5.\nAnswer: -16*k**5 + 2*k**4 + 46*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 16. Let f = -13 + r. Suppose 4*q - 15 - 33 = 0. Calculate the remainder when q is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19020, -18837, -18516, -18051, -17436, -16665, -15732, -14631?\n\"Answer: y**3 + 63*y**2 - 13*y - 19071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, -4, 0.01, -13.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/86496 and 99\/32?\nAnswer: 86496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 425980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + s + 10158, 4*a + 2*s - 11251 = 9073. Does 28 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(138\/(-54)) + -15)\/(4 - (-17)\/(-4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let u(y) = 6*y**3 - 2 - 6*y**2 - y**3 - n. Let z(s) = 14*s**3 - 17*s**2 - 11. Let j(m) = 17*u(m) - 6*z(m). Differentiate j(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:24 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.62098 * -6\nAnswer: 21.72588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 140*o**3 + 5718*o**2 + 70060*o - 75919.\nAnswer: (o - 1)*(o + 31)**2*(o + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Let j(l) = 1 + l + p*l + l. Let n(t) = 23*t + 6. Calculate -34*j(g) + 6*n(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 + 30*j**3 - 20*j**2 - 120*j + 144.\nAnswer: -2*(j - 2)**3*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.1*2859023.\nAnswer: -37453201.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16326 divided by 6.\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 58 - 57*p)*(-1 + 2 - 3).\nAnswer: 114*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89 and 2047?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80697 is divided by 20157?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 12 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4109 - 13837 = -512*o. Let w = 5 - 3. Suppose r + w*r = 165. What is the remainder when r is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-6)\/10 - 752\/20. Find the common denominator of (72\/a - -2)*(-475)\/20 and -29\/16.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102797953*k - 137219157 wrt k.\nAnswer: -102797953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o*o**(-2)*o)\/o)*o**0*o)\/(o*o**2*o\/o**(-2\/9)) assuming o is positive.\nAnswer: o**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 130095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) -5 (c) -2 (d) 4 (e) 0 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/290 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22861530 to the nearest integer?\nAnswer: 4781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from bobbobbobboboboboooo?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 22 - ((-454)\/23 - (1908 - 1906)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -4 (c) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*d**3 + 56*d**3 - 20*d**3)*(-5 - 8 - 18)*(3*d + 2*d - 7*d)*(0 + 0 - 2*d + (1 + 1 - 4)*(-2*d - 2*d + 2*d)).\nAnswer: 20088*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 724 greater than or equal to -278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -2*g**5\/5 + g**4\/2 + 2*g**3\/3 - g**2 + 5. What is c in y(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103605 + -441?\nAnswer: -104346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. Let v(u) = u**2 + u. Let c(f) = -4*f**2 - 3*f + 1. Suppose 0 = -3*x, -4*x + 0*x = h - 1. What is h*c(n) + q*v(n)?\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - l + 56 = 49, -3*j + 6 = 3*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47479*m = -47520*m + 111 - 1382 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 2:37 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, h: 7}. What is prob of sequence hih?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/15*(-6)\/7?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 8*i + 1. Let t be c(-7). Suppose 5*m - t = 2*m - 4*n, 2 = m + n. Solve m = -4*a - 2*g + 6, -5*a - 4*g = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 10:16 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 113784666 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryr when three letters picked without replacement from yryyryyr?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 22*g**2 + 14*g + 301. Calculate o(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*i**2 - 335*i**2 - 1028*i**2.\nAnswer: -1255*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-9 - -9) + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o + 7 + 0*o - 2*o - 5. Let f(k) = -8*k + 3. Let l(b) = 2*f(b) - 3*t(b). Let m(h) = 3*h**2. Calculate l(m(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4330*w - 8227*w - 52336 + 1331 - 48118*w - 5*w**3 - 1015*w**2.\nAnswer: -5*(w + 1)*(w + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 357\/34*((-1)\/3*29 - (55 + -60)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6034747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -816*w**5 + 415*w**5 - 20*w - 24*w**2 - 12*w - 3*w**3 + 312*w**5 + 11*w wrt w.\nAnswer: -5340*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/24? (a) -2 (b) -0.006 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23399730*n**4 - 481044*n**2.\nAnswer: 561593520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*a + 161*a + 19*a + 170*a)*(-a**2 - 3*a**2 + 0*a**2 - 4*a**2 + 6*a**2 + a**2 + (4*a + a - 4*a)*(-a + 3*a - 4*a) - 2*a**2 + 0*a + 0*a).\nAnswer: -1885*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*o + 3*o - 62, 0 = 3*m + 4*o + 14. Let f be (-44)\/m + (-4)\/1. Factor 2\/5*v + f*v**2 + 0.\nAnswer: 2*v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from oqyujuqly?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6845 times 48.322?\nAnswer: 81.398409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745171725 to the nearest integer?\nAnswer: 27298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -39, -55, -67, -69, -55?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19299 divided by -6433\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73427, -147034, -220641?\nAnswer: -294248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.389 + 0.189. Let b = 10.45 + -10.05. Sort -5, b, -0.06, o.\nAnswer: -5, o, -0.06, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 15 in increasing order.\nAnswer: -3, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2647538*i + 224604. Let r(g) = 4326*g - 367. Let v(d) = -3*l(d) - 1835*r(d). What is the first derivative of v(y) wrt y?\nAnswer: 4404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5813 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 18. What is the second derivative of -c - 6*j**5 + j + 4*j**5 + 2 wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 10*g**2 - 9*g + 5. Let c be z(9). Which is bigger: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167347377 rounded to the nearest 100000?\nAnswer: 1167300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v - 4*n - 113, -82 = 4*v - n. Let q = -19 - v. Suppose -3*p + 2 - 26 = -3*u, u + 2*p - q = 0. Solve 5*i = 1 - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.26000431 - -4.26. Round t to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3342 (base 6) to base 15.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9*1409*(-240)\/(-1080)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybt when three letters picked without replacement from dbdyaet?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 201, 11 in ascending order.\nAnswer: -3, 11, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 970258 and 1455387?\nAnswer: 2910774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/1*(-4 - (-13)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 161\/70)\/(2\/(-10)). Solve -3\/2*g**4 + r*g**2 - 3\/2*g**5 + 3\/2*g**3 + 0 + 0*g = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 215\/(-86)*170\/(-25).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*sqrt(320)*2 + (-1*sqrt(320) + 0 - sqrt(320)))*3.\nAnswer: -12 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -414, -617, -818, -1017, -1214?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96460 and 10.\nAnswer: 96460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.882001 and 4.\nAnswer: 6.882001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 135, 132, 127, 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 7. Let o be (j\/3)\/((-2)\/(-3)). Solve -p = -0*p + o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4632*c - 4590*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -413180.52 rounded to the nearest one hundred?\nAnswer: -413200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.54 + -13.6. What is the nearest to 4 in 1\/3, -0.5, a, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748.2197 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*l - 30377 - 20897 = 0, -2*q = -l - 102539. Is 16\/88 + q\/11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116430 and 23286?\nAnswer: 116430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1375 divided by -5.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = v + 1, -3*v = -3*v + 4*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 3*s**2 + 157*s - 165. Determine y(0).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 322556 (base 7) to base 8\nAnswer: 155603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 105*g - 263. Is 19 a factor of o(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 80. What is the remainder when 88 is divided by f(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2. Let m(y) = 32091*y**2 - y - 12. Determine m(j(n)).\nAnswer: 513456*n**4 - 4*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.9 - 22.2. Let k = -10 - r. Let n(j) = j**3 - 3*j**2 - 2*j + 4. Let a be n(3). Sort 0.4, a, k in decreasing order.\nAnswer: 0.4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.28 - -3.18. Let l = n - -0.1. Let d = 0.079 - 0.179. Which is the biggest value? (a) -0.4 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(3)*-2 + sqrt(3)) - (-2*sqrt(250) - sqrt(10)))\/(-2*(sqrt(72)\/sqrt(4) + sqrt(18))*2).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4\/3, 0.6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (522*22\/(-66) + -16)*(-3)\/6?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 6:59 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*r - 318*r + 81*r + 95*r.\nAnswer: -45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17724, -17724, -17702, -17658, -17592, -17504?\nAnswer: -17394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 t when four letters picked without replacement from pbttttyatptayppty?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 32*p = -170. What is the remainder when 65 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 - 50*u + 6. Suppose 5*n + 53 = 7*o - 6*o, -2*n - 23 = -o. Let j be v(n). Calculate the highest common divisor of 26 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394234, -394282, -394330, -394378, -394426?\nAnswer: -394474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -459412 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746909 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 - 60*s**2 - 145*s - 90 = 0. What is s?\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -6\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2\/9 + 1174*v\/9 - 34472\/9 = 0.\nAnswer: 31, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1398, 2722, 4040, 5352, 6658?\n\"Answer: -3*d**2 + 1333*d + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -909557, -909552, -909547, -909542?\n\"Answer: 5*u - 909562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 80 = 3*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: Divide -7 by -19.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61640186 to the nearest integer?\nAnswer: 7851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5051*c + 11. Calculate r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307 + -301.44. What is a rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4263 (base 9) to base 10.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -5. Let x be (27\/(-15))\/((-27)\/15 - -2). Let n be 0 - (-10)\/136 - x\/(-36). Do h and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/21)\/((-2)\/9). Suppose 5*m = 96*w - 97*w + 19, 5*w + 4*m - 74 = 0. Calculate the remainder when w is divided by -6*((-13)\/3 + z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Suppose 8*f - 145 = k*f. What is the highest common factor of f and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6948864583\/494891930 - -2\/2911129. Let x = s + -118\/17. Find the common denominator of x and (-702)\/220 + 4\/(-10).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53620 - 1461?\nAnswer: -55301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 317*u - 319*u + 3*u**2 - 9*u**3 + 11*u**3 - 3*u**2 + 262*u**4 to the form c*u**2 + v*u + h*u**3 + o*u**4 + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -155)*(-6)\/(-15). What is the greatest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 5*s - 4. Let y = -1 - s. Do y and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5227 + -2828. What are the prime factors of x?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35216238.0725 + 0.3?\nAnswer: 35216238.3725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:00 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -7)*(-2)\/4. Suppose 5*p - 5*r - 243 = 357, -473 = -4*p - z*r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10255215 + -2?\nAnswer: -10255220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -168 in 0.2, 0.03, -1\/8, 2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91015658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:49 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 71\/238674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73471 is divided by 7948.\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 286721791 to the nearest 100000.\nAnswer: 286700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.5 less than 0.1?\nAnswer: -52.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) -4 (b) -7 (c) -3\/25 (d) 0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 571, 1322, 2385, 3766, 5471?\nAnswer: 7506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1945*q**3 - 5145*q + 5145*q + 1068*q**3 + 3177*q**3.\nAnswer: 6190*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 71 (b) 13 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.2391 millennia in years?\nAnswer: 56239.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 3. Let v be f(-3). Let s = 7 - 5. Solve 3*p - s*p = v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 37. Let g = 24 - x. Suppose 4*d - 509 = -3*j, 3*j + 643 = g*d + d. What is d rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -974 - -900. Put -3, p, 1, -4, 4 in increasing order.\nAnswer: p, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 246*o + 4187. Let l be k(-17). Let p(m) = -m**3 + 3*m**2 + 7*m + 9. What is p(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-126)\/8)\/((-9)\/(-24)). Let a = b - -50. Let o(k) = 4*k - 24. What is the units digit of o(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -22. Let f(u) = -u**2 - 1. Let r(x) = 5*x**2 + 5. Let d(m) = m - 4*m - 3 - m**2 - 2 + 13*m. Let p be d(9). Determine j*f(q) + p*r(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2564204556 to the nearest integer?\nAnswer: 50638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 v, and 1 t when four letters picked without replacement from nwnjtnwwwjtnjnxwtv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 642 = -5*z + 812, -3*y + 9 = 0. Factor -z*x + 5 + 324*x**2 + 361*x - 1.\nAnswer: 4*(9*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 3*g**5\/20 + 4*g**4 + 32*g**3 - 57*g + 2. Determine d, given that i(d) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1382 + 73916*d - 37186*d - 38321*d with respect to d.\nAnswer: -1591","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 18*h - 2. Let q be a(-6). Let z = -7 - q. Let d = z + -73. What is the remainder when d is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + y + 6, -g + y + 12 = -2*y. What is the second derivative of 6*w + w**g - 5*w + 0*w**3 + w wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 11691.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8700 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*a + 3*x, -5*a - 4*x = -0*a - 37. Let c(w) = -95 + 196 - 99 + 9*w. Let n(o) = -13*o - 3. Let z(t) = -3*c(t) - 2*n(t). Give z(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + v + 385 = 0, -3*d + 5*v + 342 = 49. Suppose y = r + d, -3*r = -3 - 0. List the prime factors of y.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 times 0.03?\nAnswer: 24.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6304 and 6507304.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/11)*u)**(5\/7) assuming u is positive.\nAnswer: u**(45\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 800862 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -5\/4, -4, -1 in decreasing order.\nAnswer: -1, -5\/4, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, t: 2, j: 1, w: 1, c: 6}. What is prob of picking 1 t and 1 j?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(8) + (sqrt(50)*1)**2 + sqrt(2) + sqrt(800).\nAnswer: 19*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 41 = -4*r, 52 = 5*r - d + 3*d + 2*d + 132 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -231 - -236. Put -2, 3, i, -3 in ascending order.\nAnswer: -3, -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 63*b**3 + 11217*b**2 + 499557*b + 23763 = 0.\nAnswer: -89, -1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -16254?\nAnswer: -4\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4331151443 to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -282631 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -138350.\nAnswer: -41\/138350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 20*k - 2. Suppose k*o - 2 = -0. Are -2\/9 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5910899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -24*l**3 + 40*l**2 - 120*l + 38. Let n(s) = -7*s**3 + s**2 - s + 1. Let g(k) = 5*m(k) - 15*n(k). Determine q, given that g(q) = 0.\nAnswer: 1\/3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -964 - -972. Which is smaller: 18 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {d: 7, k: 1, g: 4, s: 1, a: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -273576 < -3556472\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 924523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 104 + 16*m**2)*(1 + 10 - 2) + (3*m**2 - 2*m**2 + m**2)*(3 + 0 - 5).\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130103 (base 4) to base 11.\nAnswer: a658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 12*f - 201*f + 454600. List the prime factors of f.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 65 + (283 - 273) + (-16 - 1).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 301303210?\nAnswer: 301303221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -7401 + 7414 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 50298c?\nAnswer: 502991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**4 + 2*j**2 - j - 7 - 3 + 7 + 22*j**3 - 23*j**3 to z + s*j + x*j**2 + c*j**4 + a*j**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/60 - h**5\/20 + h**4\/12 - h**3\/6 - 2*h**2. What is the lowest common multiple of f(2) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 152*k + 2588. Let m be z(-17). Solve 8 - 14 = -2*w, 3*x + m*w - 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 - 10 = 0. Let z be (-11)\/(-13) - 8\/(-52). Suppose 2*o = z + j. Solve 0 = d - o*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3\/3 - 11*n**2\/2 - 6*n + 3. Suppose -3*b = m + 18, -2 = 2*b - 0*b + 4*m. Is j(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 18 - 158 = 0. Suppose 16*x - t*x - 616 = -f, 3*f - 4*x - 1824 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9408 divided by 2352?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 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: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + 1 + -7 + 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4 (c) 2 (d) 20\/3 (e) -0.2 (f) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/3, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 440?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1888)\/(-35400)*10\/(-16).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 + 0?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588390 and 210?\nAnswer: 4118730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18291 divided by -3.\nAnswer: 6097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000105258653 rounded to 6 dps?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*k = 83*k + 7158. What are the prime factors of k?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (25\/15)\/(5\/(-15)). Let v be a\/(-48) - 75\/(-36). Let t(x) = 2*x - 4. Let s be t(4). Which is greater: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -61*f + 119. Let b be h(2). List the prime factors of ((-30175)\/(-213))\/((-1)\/b).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -424 - -1240. Suppose -d = 5*d + b. What is d rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 0*k**2 - 4*k**2 + 0*k**2 - k**2 + 2*k**2 + (-1 + 1 + 2)*(3 - 3 + k**2) + k**2 - k + k + (-2*k - 2*k + 3*k)*(-2*k + 3*k - 2*k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1895.5 - 1900.5. Let w = -0.91 - 0.09. Put z, w, 1\/25 in increasing order.\nAnswer: z, w, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*d**3 + 0*d**2 + 2*d**4 + 0*d - 2\/3*d**5 + 0 = 0 for d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/19? (a) 4\/3 (b) -4 (c) 481 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - r + 4 + 9, 2*w - 11 = r. Let p(y) = -y**3 - 14*y**2 + 62*y - 174. Calculate the least common multiple of p(-18) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 13 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-62)\/5 - (-2)\/5. Let t be (30\/4)\/(g\/16). Let s(x) be the first derivative of x**4\/4 + 10*x**3\/3 - 3*x**2\/2 - 10*x + 100261. What is s(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -6231?\nAnswer: -56\/6231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6004.979 centuries?\nAnswer: 600.4979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*j - 1541 + 1776 = 0. Let r be (-4)\/(-6)*(-3)\/(-4). What is the nearest to r in -3, j, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2356714 - -841346228\/357. Let l = -13\/7 - d. Let p = l + 91\/561. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45.95 + 3.05. Let p = -53 + d. What is the biggest value in -0.5, p, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1500)\/(-40)*(-150)\/225.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33568 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214875301?\nAnswer: 41, 1949, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.054 * 109.\nAnswer: 5.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115d85e (base 15) in base 9?\nAnswer: 25373588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-2 + -1 + sqrt(80) - sqrt(720)\/sqrt(4)*6.\nAnswer: -50*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 1201?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/2) - 2*-3. Let f = 56 + g. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 281727*p + 2817570.\nAnswer: -3*(p - 93919)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*((sqrt(120) + -2*sqrt(120) - sqrt(120)) + sqrt(120)))\/sqrt(10))\/(-5*(1*sqrt(64) - sqrt(64) - sqrt(64) - sqrt(64)) - sqrt(64)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/4*((-13500)\/(-35))\/6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15)\/k**(-7\/2)*(k**(-3)\/k)**(-3\/11))**35 assuming k is positive.\nAnswer: k**(10297\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 5*q**2 - 7*q + 14. Suppose -4*s = -8 - 4. Let n be (0 - -6)*(s + -2). What is the units digit of w(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqggggqggqqgq. Give prob of sequence qq.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162 - -281. Suppose -3*l - 139 = -3*o + n, 4*o - 348 = 2*l. Let u = 65 + -57. What is the highest common factor of u and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 155*x**2 + 22775*x - 1470 = 0. Calculate x.\nAnswer: -147, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 12 = -29*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 29, 47, 65, 83, 101?\n\"Answer: 18*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -68. Which is greater: -4\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c6 - -23?\nAnswer: e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 - 6039 + 286 = -244*n + 3733 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z + 5*g - 15, 0 = 4*g + 12. Let y be (-33)\/44 + z\/4. Solve m - 25 = -4*m, -2*d + 19 = y*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:24 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n = 60*n + 12. Suppose 2*b - j = -0*b + 5, 0 = 5*b - 4*j - 14. Suppose 0 = -2*k, b*i + k = 2*k + n. Let g(r) = -6*r + 1. What is g(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 418482.\nAnswer: 7951158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c + 75*c**3 + 2 - 207*c**3 + 3*c - 2*c**4 + c**2 + 66*c**3 + 64*c**3 as p*c**2 + l*c**3 + t*c + v + j*c**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5008 divided by 40?\nAnswer: 626\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32680739?\nAnswer: 7, 13, 359129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**7\/42 + 2*l**6\/15 - 3*l**5\/20 - 5*l**4\/6 + 4*l**3\/3 + l - 5014. Factor q(r).\nAnswer: r*(r - 1)**2*(r + 2)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40881 in -0.41, 0.3, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 26*g**2 + 11*g - 154. Let u(f) = -14*f**2 - 6*f + 84. Let z(l) = 6*r(l) + 11*u(l). Let n(y) = 2171*y**2. What is n(z(p))?\nAnswer: 8684*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8470 - -10126. Calculate the greatest common factor of 252 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -0.4. Let y be (-2)\/(-6) - (-10)\/(-3). Let x be 25\/(-30) - 1\/(-2). Put y, c, x in increasing order.\nAnswer: y, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1168*v**2 - 602582*v**3 + 582*v**2 + 586*v**2.\nAnswer: -602582*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -8. Calculate the remainder when 61 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -472, -862, -1252?\n\"Answer: -390*r - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 7*u\/2 + 18.\nAnswer: -(u - 18)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1088) - (4*sqrt(1088)*4)**2) - -5*(0 + sqrt(17) + sqrt(1700)*-2).\nAnswer: -278532 - 87*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 125.77\nAnswer: -503.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13 + p**2 - 2*p - p - 3*p. Let n be z(9). Let u = n + -10. Solve 0*t - u = 2*t - 2*w, -5*w = 2*t - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*a - 2 + 2 - 149*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16823 and -1216?\nAnswer: -20456768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23249 = 1334*q - 4075 + 11508 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a**2*d**3*v**3 + 11*a**2*d**2*v**3 - a**2 - 4*d**3*v**3 - 7*d**2*v**2 + 2*d*v**3 wrt d?\nAnswer: 114*a**2*v**3 - 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6433718 is divided by 623.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + -0.06. Let o = -0.4 + v. Which is the biggest value? (a) -2 (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/6, -7, 2\/11, 0.6, 3\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 22 - 2. Let x = r - -23. Calculate the least common multiple of 6 - 4\/(-3)*21\/7 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8\/9)\/f)\/f**(-2\/9))**1 assuming f is positive.\nAnswer: f**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 + 71 = -64*o - 98*o. Sort -0.25, 4\/45, o, -0.3.\nAnswer: -0.3, -0.25, 4\/45, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -5*j**8\/336 - j**5\/12 + 7*j**2\/2 - j. Let v(q) be the first derivative of z(q). Find the third derivative of v(h) wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/20)\/(582\/970)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**4 + 430*n**3 + 6000*n**2 + 28640*n + 44800 = 0. Calculate n.\nAnswer: -70, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 9.7. Let n = -0.7036 - m. What is n rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 539091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43327 or -43341?\nAnswer: -43327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-8) - -2) + 16 + 9 + -14.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6762 and 349958?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 2?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 7*d**2 + 6*d + 3. Let s be g(6). Let z be 515\/206*(-12)\/10. Sort s, 26, z in descending order.\nAnswer: 26, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/44 + 67\/44. Let z = 1 - 1. Let d = 0.1 - z. Which is the third smallest value? (a) d (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8048*v**3 + 2*v**2 + 24*v + 23. What are the prime factors of k(-1)?\nAnswer: 3, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29988 and 12.\nAnswer: 29988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 863 + -848. Solve 0 = 8*x - 9*x - 3*l - 20, 0 = -2*x - l - n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-215)\/10)\/(2\/(-24)*132\/(-44)*-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {d: 2, t: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p - 3*p + (511*p + 9087 - 9087)*(3 - 5 + 4).\nAnswer: 1023*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -11*f. Let a(i) = 148 + 3*i - 148. Calculate a(p(o)).\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/11 (b) 2 (c) 1\/3 (d) 1 (e) 231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*m - w + 11, 23 = m - 2*w. Let n be 11\/(-3) + (-5)\/m. Let b(k) = k**2 - 9*k + 1. Let q be b(9). Sort q, -1, n in ascending order.\nAnswer: n, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 18. What is the remainder when 70 is divided by w(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 3 + -6)*(-226)\/8?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -3*i, -3*i + 3*a + 4 = 5*a. Let p be (7 + -6 - -9)\/(i*1). Solve p*c - 4*c = 4*k - 21, -4*c + 2*k = 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11234.\nAnswer: 2, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x + 7. Let m(w) = 8*w + 7. Let f(r) = -5*m(r) + 4*u(r). What are the prime factors of f(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1004994, -1005015, -1005036, -1005057?\n\"Answer: -21*l - 1004973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by -27.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4480 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 5. What is s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/8)\/(36\/8*12\/(-144)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4)*(-274)\/(-1233)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 4. What is f(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)\/8 + (-13)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/(-40)*-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 - -5*4\/(-20). Suppose -r - q = -5*r. Let j(g) = g**2 + 1. What is the remainder when j(r) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2859 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 9*q**2 - q - 2. Let f(k) = -2*k**3 - 4*k**2 - 1. Let b(x) = -5*f(x) + 2*p(x). What is the units digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -44920891?\nAnswer: 44920888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 10974\nAnswer: 10987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/84 and 34\/362834763?\nAnswer: 10159373364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261370 is divided by 261357?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3878.725ms to nanoseconds.\nAnswer: 3878725000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 375704*r - 63174720.\nAnswer: 2*(r - 188020)*(r + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1243 from -1749166.29266.\nAnswer: -1747923.29266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2112 and -1*351\/51 - -7 - 6820\/6528?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ppppgipgipppppppippp.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171575, -686311, -1544197, -2745227, -4289395, -6176695, -8407121, -10980667?\nAnswer: -13897327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 2. Let w(f) = f + 1. Let m(d) = -b(d) - 2*w(d). Let r(p) be the second derivative of -p**4\/3 + 2*p. Determine r(m(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1) + 0\/(-1). Let l(j) = -j**3 + j + 7. Let s be l(r). Suppose s = 3*i - 17. What is the highest common divisor of i and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -19515, 11, -1, 35 in increasing order.\nAnswer: -19515, -1, 1, 2, 11, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.06 (b) -3 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 109200474.5 to the nearest ten thousand.\nAnswer: 109200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r\/r**8)\/r)\/r)*r\/((r\/(r**(2\/7)\/r))\/r))\/(r**(2\/15))**(31\/4) assuming r is positive.\nAnswer: r**(2153\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3*(32\/6)\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 146, 1453 in ascending order.\nAnswer: -1, 0, 146, 1453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*g - 16, -2*v - 3*g + 11 = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 817145585*m - 817145585*m + 104 - 21*m**2 in the form s*m**2 + v*m + w and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 21*l**2 - 38*l + 56. Let f be x(-19). Let g = 0 - -4. Suppose -4*j - 104 = -g*d, -j = 2*d - 4*j - f. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126618117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*q + 84 = 0, -5*u - 702*q = -703*q + 156 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 26 + 20 = 0. What is the units digit of (-548)\/c + 10\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -222422, -222419, -222416?\n\"Answer: 3*b - 222425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:01 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 304207 or -23?\nAnswer: 304207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - -5.3. Let k = s + -6. Let f = -4.91 + -0.09. What is the biggest value in f, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqrttttqtxtttvtvt. Give prob of sequence tr.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.199 - -0.199. Let p = -2 - -2. Which is the closest to -1\/5? (a) p (b) n (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - 4. Let n(p) = 13*p + 9. Let i(d) = d**3 - 5*d**2 + 4*d - 9. Let o be i(4). What is o*v(k) - 4*n(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 641*o - 1131. Is q(34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57114 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -488779\/92805 - -2\/30935. What is the common denominator of -59\/55 and y?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 8*h**2 + h**2 - 44 - 36*h. Let x(y) = -3*y**2 - 12*y - 15. Let w(j) = 6*q(j) - 17*x(j). Factor w(t).\nAnswer: -3*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (17 + (18 - 44)) - 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (295*a - 614*a + 395*a)*(0 + 2 - 3)*(4*a**3 - 2*a**3 - 4*a**3).\nAnswer: 152*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155264309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4513974239 to the nearest one hundred thousand.\nAnswer: 4514000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/15)\/((-6)\/(-63)). What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46829 + -0.2.\nAnswer: 46828.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137*i*s**2 - 1060*i - 5*s**2 wrt s.\nAnswer: -274*i*s - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*b**3 + 9 - 376*b**3 + 186*b**3.\nAnswer: -2*b**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15445400.\nAnswer: 2, 5, 29, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 33489804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/9))**47*(a\/((a\/a**10)\/a))**(-6\/7) assuming a is positive.\nAnswer: a**(-265\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(20)\/(-6*sqrt(100)) - ((1*sqrt(120))\/sqrt(12))\/((sqrt(36)\/sqrt(2))\/sqrt(9)))**2.\nAnswer: 31*sqrt(5)\/5 + 2581\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 - 7*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2906, -3711, -4516?\n\"Answer: -805*x - 2101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2172\/2033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z. Let y(x) be the second derivative of x**4\/12 + 3*x**3\/2 - x**2\/2 - 31*x. What is the lowest common multiple of y(-10) and v(1)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-132))\/((-351)\/(-41184))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4495, 8989, 13479, 17965, 22447, 26925, 31399?\n\"Answer: -2*j**2 + 4500*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829694209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -89. Let t be 12 - 6 - 6 - 2\/(-7). Which is the closest to t? (a) -0.06 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1107\/6*(28 + -8). What is the highest common factor of 270 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvvvvvn. Give prob of sequence vvnv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by 269?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:10 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-12))\/(2\/15). Let f be (-4)\/(-20)*3*t. Suppose -f*b + 63 + 9 = 0. Calculate the greatest common divisor of 72 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*m = -26*m - 36*m + 2814. Let l be 1\/(-3) - 128\/(-6). What is the greatest common factor of l and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, -0.08, 9, -32\/25?\nAnswer: -32\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*j, -6*j = -3*j. Let s be v + (3 - 0)*1. Solve s*o - y - 11 = 0, -2 = 5*o + 2*y - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8196*4\nAnswer: -32784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + s - 1700 + 3458 = 1734, 20 = -5*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2444104, -4888557, -7333010, -9777463, -12221916?\nAnswer: -14666369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 935596232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 78*z - 72*z + 7*z**2 - 1 + 7. Let k be c(-3). Let j = -49 + k. Solve 2*m + j*m - 3*b = -2, -b - 12 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h - 3. Let m(a) = -a**3 + 7*a**2 - 8*a + 7. Let o be m(5). Let b be (11 - o)*2\/4. What are the prime factors of i(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiiiihhhihikhih. What is prob of picking 2 h and 1 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 7*d**2 + 11*d - 83. Let c be a(7). Let b(n) = -n**2 - 7*n - 9. What is b(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:39 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = 12. Let n(x) = -x**3 - 4*x**2 + 2*x - 1. What is n(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 22*k**2 - 18114*k + 416093. What is f(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 + w**2 - 1. Let k(z) be the second derivative of z**5\/20 + 3*z**4\/2 + 3*z**3 + 8*z**2 - z + 77. Let h be k(-17). Give n(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 41 - 51. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -102. Let f = 1056 + -1062. Sort f, 5, -3, y in descending order.\nAnswer: 5, -3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -372*d - 3724. Calculate a(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82958 and 14?\nAnswer: 580706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7856*l - 7851*l + d - 30, 0 = l + 5*d - 54 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, 191, 328, 491, 680, 895, 1136?\n\"Answer: 13*h**2 + 72*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -4*r**3 + 0*r - 7\/120*r**5 + 0*r**4 + 14 + 0*r**2. Let a(z) be the third derivative of j(z). Give a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -385096 or -385097?\nAnswer: -385097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 342700 (base 11) to base 4\nAnswer: 2011013022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 12*u = -36. Suppose 5*t + 4 = 3*t. Let y = t + u. What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0*b - 2*k + 32918, 82295 = 5*b - 2*k. Is b a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssmssssssssmsmms. What is prob of picking 2 s?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/17737209 and -5\/9.\nAnswer: 17737209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r - 14. Let l(v) = -5*v - 13. Let a(i) = 5*l(i) - 4*w(i). What is a(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12)\/sqrt(2))\/((sqrt(48) + sqrt(1200) - sqrt(48)) + sqrt(48) + sqrt(48)).\nAnswer: 3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1098.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10) - 2*sqrt(10) - sqrt(10)) + 0 + sqrt(180) + sqrt(180) - sqrt(45)\/(sqrt(54)\/(sqrt(36)\/sqrt(6)))) + 1.\nAnswer: 1 + 21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 581812?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17158 is divided by 780.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 104, 211, 384, 617, 904?\n\"Answer: -n**3 + 39*n**2 - 3*n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/27285588 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191323982*w**3 + w**2 - 85526739.\nAnswer: 1147943892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1569 + -1088. Suppose -3*b - 3*s + 505 = -215, -o = -2*b - s. Suppose -3*j = -3*t - 207 - 48, 3*j = -4*t + b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, v: 6, r: 3}. Give prob of sequence rrvj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 4645193?\nAnswer: -22\/4645193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -693496.\nAnswer: 1\/173374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/4 + 3015*h**2\/2 + 36504*h + 219672.\nAnswer: -3*(h - 2034)*(h + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 21.\nAnswer: 25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -4, -0.2, 0.15, 59260?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2*(-9)\/(-12))\/(12\/(-1256))?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8391.2 times -0.2\nAnswer: 1678.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-60)\/6 - (1 + 0). Solve 0 = g - 12 + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8121 and 81220828.\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = 21. Suppose -r*o - 3*t + 46 = 0, -2*t + 7*t = -2*o + 26. What is the lowest common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 66 and 13436822841715?\nAnswer: 13436822841649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 - 122. Suppose 0*n - 3*n - q = -v, -3*n = -4*q - 104. Suppose 9 - n = -3*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 129\/2, 3, 4, -78, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110265 - 15696 = 7527*o + 78517 + 239615 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3123 - -2226. Let z be 1 + (-1)\/2 - o\/(-1482). Which is the closest to -0.1? (a) 6 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 8*o + 1. Let u be g(-6). Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + o - 15 = 2*q, 5*q + 2*o - 24 = 0. What is the highest common divisor of 54 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008) - (-3 + -2*sqrt(1008)))**2.\nAnswer: 228*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/5)\/p)**(-48))**35*((p\/(p**(-2\/5)\/p))**(6\/5))**(-47) assuming p is positive.\nAnswer: p**(-20184\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 124146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -0.3. Let h be 3 + -2 + (0 - -3). What is the closest to 1 in h, -2\/17, g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 7500 = -3*j. Suppose -5*y - j = -3*d + 86, -y = -3*d + 844. Is (1\/4)\/(6\/d)*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 1\/4*b**5 + 0 + 22*b - 3*b**2 + 0*b**4 + 0*b**3. Differentiate h(w) with respect to w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/402 and 7\/40244?\nAnswer: 8089044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 446 (base 10) to base 2\nAnswer: 110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 0, -8, -20, -36?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**2 + 9*v. Let r be (170\/(-51))\/(4\/(-6)). Let p(z) = -3*z**2 + 4*z. Determine r*p(i) - 2*l(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39720.36l in millilitres?\nAnswer: 39720360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, e: 3}. Give prob of picking 3 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 818815204 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + 1\/(-5). Suppose 2*t - 17 = i, -3*t + f*t + 12 = 3*i. Let w = 0 - t. Let p(q) = 5*q + 5. Let x(n) = 9*n + 9. Determine w*p(m) + 4*x(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*i**5 + 5*i**2 + 406*i + 3?\nAnswer: 1240*i**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2371374562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.839903 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 15.3. Let d = u - -0.2. Let c = -0.4 + d. Sort 4, c, -2.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k - 105. Let l be c(18). Sort -2, 1\/6, l, 5\/4.\nAnswer: l, -2, 1\/6, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 4:23 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 59 - 27 - 35.\nAnswer: 4*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 276107*y**4 - 18327521 wrt y?\nAnswer: 1104428*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 40 = -20*j. Solve -n + 5*y = 16, 0*n + y + 16 = j*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5455.441 kilograms?\nAnswer: 5.455441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 52716610?\nAnswer: 52716606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 32 = -83 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3699, -3716, -3745, -3786?\nAnswer: -3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.9 + -10. Let g = r + 0.1. Let h = 3 - 8. Put -0.5, g, h in descending order.\nAnswer: g, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from ppcpvgvycpvpt?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-16)\/5 - (-10740)\/17900?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w\/(w\/(w**(-1)\/w*w)))\/w*w*w\/(w*(w*w**(-5\/4))\/w))**(5\/6))**36 assuming w is positive.\nAnswer: w**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 75\/44?\nAnswer: 75\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3 - 4 - l**2 in the form o*l**2 + c*l + n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 304857208 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-645)\/(-24))\/((-950)\/1520).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 8 + 8 + 0.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2750*w - 504 = -2757*w. Solve -6*v = 12*v + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l**2 - 6*l - 6. Let r be u(4). Suppose -r*q + 27 = -q - 3*t, 3*t + 90 = 4*q. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04636 * -36.8\nAnswer: 1.706048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/5 + 592*m**3\/5 - 2938*m**2\/5 + 1752*m\/5 + 5283\/5 = 0. What is m?\nAnswer: -1, 3, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -0.447.\nAnswer: -0.01788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -18*y**5 + 8*y**4 + 18*y**3 - 18*y**2 + 10*y + 10. Let n(c) = c**5 - c**3 - c**2 + c + 1. Let l(o) = -d(o) + 10*n(o). Let l(s) = 0. What is s?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -639531?\nAnswer: 639534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-76)\/20)\/((-3)\/15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.188.\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3092, 0.3, 0.5, -20, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, k: 2, r: 1, b: 2}. Give prob of picking 1 k and 1 b.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 443 - 110. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**2 + 4*n + 12. Let h be d(-6). Let z be ((-40)\/25)\/((-8)\/h). Let o = -53 + z. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.12, -0.06, 2\/1815?\nAnswer: 2\/1815","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5331 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20334 + -20330. What is the closest to 0.1 in -0.4, c, 0.55?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 36 = i, 3*i = i - 3*m + 7. Calculate the highest common factor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-28))\/(81\/63).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7616, 6169, 4722, 3275, 1828, 381?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40340029 + 40340029 + 17288*u**2 + 2*u - 2*u - 3*u + u**2 + 3*u + (0 - 4 + 5)*(-4 + 4 + 2*u**2) to the form s*u**2 + i + z*u and give s.\nAnswer: 17291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2234128 and 7360?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8) - 1)*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*-2*1. Let k = 2 + 0. What is the third smallest value in k, -2\/11, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 8, 43, 114, 233?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 m when three letters picked without replacement from mymmymzzy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 4 (c) -3\/17 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95395426 divided by 135121.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, b: 2, i: 2, e: 1, a: 2, x: 2}. Give prob of picking 1 u, 1 i, and 2 b.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 0 + 64\/3*m + 4\/3*m**4 - 28\/3*m**3 + 32\/3*m**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-5))\/((-4)\/(-20)). Let n = 6 + -3. Suppose n*a = -4*q - 8, 5*a - 38 - 2 = 4*q. Solve v - x*v = -a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -35. What is the remainder when 26 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 43*h - 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.02 + -0.02. Let p = -4 + 3.5. Let t = 42099.1 + -42099. What is the nearest to t in p, a, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6819*q - 6787*q + 352 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2518, -3343, -5574, -9907, -17038, -27663, -42478?\nAnswer: -62179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z = 2*w + 52*z - 49 - 47, -z + 8 = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/55 + 2\/5*12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 20*d**3 - 255*d**2 + 24*d - 6. Is 24 a factor of g(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 2:25 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 29*d + 84. Let p be m(10). Let j be (-21)\/p*4\/7. Factor -3\/8 - 1\/8*o**j + 1\/2*o.\nAnswer: -(o - 3)*(o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 13 (b) -1 (c) -0.5 (d) 85 (e) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -13.35. Let z = 8269.829987 + -8270.18. Let p = r - z. Round p to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 3486*i - 3489.\nAnswer: 3*(i - 1163)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/89, -3276?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 7, t: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -3*p**3\/2 - 2*p**2 + 23*p. Suppose f - 11 = -2*f + s, 5*s = -5*f + 5. Let v(w) = 4*w + 2. Give f*q(g) + 7*v(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 53272008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836*x - 31 - 836*x - 18*x**2.\nAnswer: -18*x**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, 0, -5, 2\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.0192 rounded to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 971790*r**2 - 2*r**3 + 8*r**4 - 3*r - 16 - 971790*r**2 in the form u*r**4 + a*r**2 + m*r + v*r**3 + n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 1740*s**2 + 3471*s - 1744. Let d(y) = y**3 + y**2 - 8*y. Let i(u) = 6*d(u) - 3*k(u). Suppose i(p) = 0. What is p?\nAnswer: -1744, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 564.\nAnswer: -112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*l*t*y + 13*c**2*t*y - 40*c*l*y + 2*c*t*y + l*t*y + y - 1 wrt l.\nAnswer: -2*c**2*t*y - 40*c*y + t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 92\/11 (b) -0.4 (c) -5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140875787 and 442?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 130*c**2 - 671*c - 507. Determine w(135).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 971*g**2 - 12604*g - 201. Calculate q(13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 12 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-20*1)\/(-4) + (-9 - -14) and (-3 - 1)\/((-4)\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w - 2. Let f(k) = -7*k + 1. Determine 4*f(y) + 3*r(y).\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 3139156?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 4048.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -4*w, -r = 6*w - w - 12. Suppose 0 = -3*v - 3*i + 90, -3*i + r*i - 54 = -2*v. Suppose v = -2*b + 6*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 0\/((-30)\/(-14) - (-432)\/504).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(0*u + 0*u - 3*u)*(1 + 2 + 5 + (4 + 0 - 3)*(-3 + 3 + 3) - 1 - 3 + 2).\nAnswer: 81*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + 0*y - 4*y - 11*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 13*q**2 - 14*q + 2. Let c be 6\/(9\/6 - 2). What is the remainder when m(c) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-33)\/(-4) + -4 - -2*2 and -119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 308, 1217, 2740, 4883, 7652, 11053, 15092?\n\"Answer: o**3 + 301*o**2 - o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40760 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1182.\nAnswer: 13002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.227 (b) -2 (c) -1.31 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9531288 and 14976.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/8 and 95\/6108.\nAnswer: 12216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0475094 less than -0.1?\nAnswer: -0.0524906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 1)*-2 + 3.\nAnswer: -20*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119\/160 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7880 = 8*l - 6*l. Round l to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1034063 (base 7) to base 13.\nAnswer: -45620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*k = 52, -3*u - 2*k + 61 + 51 = 0. Suppose -12*d = -8*d - u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 111050*a**2 + 616716160*a - 1232988160.\nAnswer: 5*(a - 11104)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 + 60 = 0. Let o = -2491 - -2488. Which is the biggest value? (a) q (b) 2\/19 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-70)\/6)\/(-7)*(1 - -2). Put k, 1, -7 in increasing order.\nAnswer: -7, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.94 + -0.323?\nAnswer: -5.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c - 6*c**3 + 29*c**3 + 45*c**3 + c - 8*c.\nAnswer: 68*c**3 + 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:13 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, c: 3}. What is prob of picking 2 r and 2 c?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*d**4 + 1024*d**4 - 247*d**4 + 835 + 560*d**4 + 1316 wrt d.\nAnswer: 4304*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2\/2 + 18. Let j(b) = 3*b + 5. Calculate j(h) + 2*p(h).\nAnswer: h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1543930.5 months to decades.\nAnswer: 12866.0875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1154 - 1168. Let f(b) = -5*b - 4. Let s be f(-2). Suppose -2*z + s = -5*z. What is the second smallest value in z, v, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.098602 to 3 decimal places.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 14.5. What is the closest to -2\/5 in -0.1, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 <= 102814\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7967 - 7953. Suppose -7*k + 3*k - 2*a + 120 = 0, -5*k + 159 = -2*a. Calculate the remainder when k is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 17 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5422 + 0.0358. Let n = q - 0.57. What is n rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -34. Let u(j) = -8*j**2 + 4. Let g(m) = 1. Let y(p) = -10*p - 591. Let l be y(-59). Give k*g(t) + l*u(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/147)\/(1\/23 + 0). Are -0.1 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(12\/16*126\/(-210))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-9)*n)\/n*n*(n*n\/(n\/n**2))\/n)\/((n**7\/n*n)\/(n**7*n)))\/((n*n**(-9)*n*n)\/n**(-12\/7))**(14\/3) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-42) + ((-76)\/(-24) - 3). Differentiate 152*o + q - 43 - 81*o with respect to o.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200\/7 - 240\/7*w - 2\/7*w**3 + 6*w**2.\nAnswer: -2*(w - 10)**2*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = 12. Let c be (32\/p)\/((-3)\/5). Suppose 34 + 41 = 3*u - 19 + 64. Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3102 = 462*a + 13992 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -7. Let j = 118.4 + -118.5. What is the fourth biggest value in c, 1, j, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 + 1034. What are the prime factors of l?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15776817 - 43?\nAnswer: 15776774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(3 + 7\/(-3)). Suppose -f*h = 3*h. Let b(x) = x**2 - 1. Let o be b(0). Do h and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (-4 + -2 + (sqrt(700)*2)**2 + 4 - (3 + 6*4*(1*sqrt(700))**2)).\nAnswer: -14007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 20. Which is the closest to d? (a) -2\/7 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/12)\/((-390)\/810)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 813318.4 grams?\nAnswer: 813318400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 445204.\nAnswer: 9\/111301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2\/4)\/(123\/(-738)))\/((-1)\/972). What is the greatest common divisor of z and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1593941 * -10.\nAnswer: -15939410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14513717?\nAnswer: 29, 500473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/624 and -105\/416.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20*q - 57. Let h(n) = 39*n - 114. Let c(l) = 6*h(l) - 11*t(l). Let d be c(23). Suppose r - d = 2*m, r + 1072 = 5*r - 2*m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62516753 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c**2 - 5*c + 15. Suppose -2*w + 6*w - 12 = 0. Let n be t(w). Calculate the greatest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 214ccd51?\nAnswer: -214ccd52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 5 = l + 4*i, -114 = -4*l - 3*i. Calculate the remainder when 89 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*m + 70. Suppose 0*d = -m*d + 10. Solve -6*b - i = -b + 25, 0 = 2*b + d*i + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 + ((-1095)\/(-84) - 975\/260). Is 30 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*d - 676, 3*j - 330 = -3*d + 54. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -109*u**4 - 9*u**3 - 8*u**2 - 35*u. Let w(l) = 2*l**3 + 2*l**2. Let g(k) = b(k) + 4*w(k). What is the second derivative of g(h) wrt h?\nAnswer: -1308*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/((p\/p**3)\/p))\/(p**6*p**(-1\/10)))**(6\/5) assuming p is positive.\nAnswer: p**(33\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 18. Suppose -5*l - 12 = -2*p - 2, -5*l + i*p = 15. Do l and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98649 divided by -97.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 58*x**2 + 15*x + 4. Let j(c) = -48*c**2 - 15*c - 4. Give 5*f(z) + 6*j(z).\nAnswer: 2*z**2 - 15*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-107)\/((-2354)\/(-132)))\/(-7)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65529.05mg to tonnes.\nAnswer: 0.00006552905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-5 + 5 - r) - 15*r + 65 - 65)*(2*r + 2*r**3 - 2*r).\nAnswer: -34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*m**2)*(24*m - 31*m + 47*m).\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3819*c + 37 - 37 + 0 + 948*c + 2 - c - 2 - c + 0*c + 0*c + (3 + 2*c - 3)*(4 - 1 - 4).\nAnswer: -2875*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Let p(w) be the first derivative of 2*w**3\/3 - w + 18. Calculate p(c(v)).\nAnswer: 8*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {g: 1, i: 1, t: 5, z: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*d - 2*x - 9, 3*d - 5*x - 2 = 0. Suppose 5*m - 2*m - d = 0. Suppose -m*n + 4*n = 5*z - 1199, -z = -3*n - 251. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.8937 * 0.2\nAnswer: 4.57874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 748799976\/8 - (1*-4 - -1). Suppose 2*t - 4*t - v = 0. What is t rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:31 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1030.31 - 1025. Let z = -0.31 + d. Suppose 8 = -2*a + 4*a. Put z, 1, a in increasing order.\nAnswer: 1, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b - 58*b + 20*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2062472 - 4?\nAnswer: -2062476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let u be ((-1)\/((-5)\/4))\/(1\/(-5)). Let t(c) = 4*c**2 - 5*c. Let l(x) = u*h(x) + t(x). What is the remainder when l(3) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 + 152*k - 4\/5*k**3 - 4\/15*k**4 + 1\/50*k**5 + 144\/5*k**2. Suppose q(h) = 0. What is h?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721, -1442, -2165, -2890?\nAnswer: -3617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(78))\/sqrt(3))\/(1*sqrt(24)\/(sqrt(72)\/sqrt(6))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019039 rounded to four decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a - 1. Suppose -5*s - 7 = 4*z + 6, -4*s + 3*z + 2 = 0. Let t be h(s). Let d be (-2 - 1) + 7 - t. Solve 0 = d*b - 2 - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(4\/(-8)))\/1. Let w be 13\/(390\/5112) - p\/5. Is (1 - 0)*(w\/5 + 1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Express (37582 - 37582 - 1028*v**2)*(-3*v + 0*v + 2*v) in the form o*v**3 + t + w*v**2 + q*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -94. Let s = f - -2.98. Which is the closest to -0.1? (a) 0 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from bobooobo?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 12 - 14 + 29)*(-z + z**2 + z) + 13160 - 13160 - 2*z - 735*z**2 in the form v + s*z + g*z**2 and give g.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p. Let q(b) = 11*b. Let u(t) = 5*q(t) - 6*y(t). Let r(v) = -v**2 + v - 1. Let l(x) = 2*x - 2. Let j(n) = l(n) - 2*r(n). Determine j(u(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-51)\/(4590\/(-120)) + 1\/(-3). Let m = 2 - 1.9. Let y = m + -0.1. What is the closest to y in k, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnn when four letters picked without replacement from nnnnnnnnqnqnnnfnnnff.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdq when three letters picked without replacement from {d: 16, q: 4}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 6*b + 7. Suppose -2*q + 5 = 3*z, 5*z + 13 + 4 = 3*q. Suppose 4*f = -4*g + 16, -3*g + 0*g - f + 20 = 0. Let p be ((-4)\/g)\/(z\/(-12)). Give c(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1017*b**3 - 7*b**2 - 9*b - 3. Let g(x) = -x**3 + 2*x**2 + 3*x + 1. Calculate -c(z) - 3*g(z).\nAnswer: 1020*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -6\/7, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73.669 + 0.669. Let o = -107.8 - -11.8. Let i = o - x. Sort -0.4, i, 1\/3.\nAnswer: i, -0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 66*u - 1089.\nAnswer: 3*(u - 33)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 10 = 3*a, 5781*a + q - 10 = 5782*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5288, 10027, 14742, 19421, 24052?\n\"Answer: -2*t**3 + 4753*t + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -20*p - 17. Let t(k) = 7*k + 6. Let g(o) = 17*t(o) + 6*z(o). Let a(q) = -9*q**2. Give g(a(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -101191649.\nAnswer: -4\/101191649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 divided by 50?\nAnswer: -221\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207955 + 10605377\/51. Let l = -7444\/153 - q. Let s = l + 42. Is s equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(sqrt(105)\/sqrt(7)*3)\/sqrt(3)*-3.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 2*h - 10*h - 2. Let r(y) = 3*y + 1. Let l(t) = -3*t - 12. Let w be l(-6). Suppose -4*c - w = -4*o + 2*o, 0 = 2*c + 8. Determine o*r(s) - 2*k(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556 divided by 139.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 28. Which is the nearest to -2? (a) -5 (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -1\/8*k**4 - 4*k**2 + 0*k + 5\/6*k**3 + 0 + 1\/120*k**5. Let g(w) be the first derivative of h(w). Differentiate g(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 16. Suppose 22 + 5 = 3*h. Suppose 9 = 3*v - h. Calculate the greatest common factor of f and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*v - 38, -4 + 1 = -v - 5*d. Let p = -5 - -17. Suppose j - 12 = 4*u, j - 4*u = -j + p. Solve j = -5*x - 12 - v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 - z - 200 - 69*z**2 + 69 in the form u*z**2 + c*z + g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**3 + 4*z**3 - 2*z**3)*(-4*z + 3*z - z)*(-33 + 58 + 37)*(0 + 0 + 2) as y*z**3 + d*z**2 + o*z + u + s*z**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8562, -8688, -8842, -9018, -9210?\n\"Answer: f**3 - 20*f**2 - 73*f - 8470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4448b (base 14) to base 16\nAnswer: 286ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*t + 37895 - 37370 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137 + 170 + 604 + (2 - 2 + 2)*(0 + 2 + 0))*(-d**4 - 2*d**2 + 0*d**2 - d**4).\nAnswer: -1830*d**4 - 1830*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1169.562 + 10266\nAnswer: 9096.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -894*l**4 + 583 wrt l?\nAnswer: -3576*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2351?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3164457.\nAnswer: 3, 1054819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/21 - 20\/21. Which is the nearest to -2\/5? (a) -1\/6 (b) -47 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**6\/150 + 7*s**5\/50 + s**4\/5 - 7*s**3\/15 - 13*s**2\/10 - s - 4. Find x such that f(x) = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.9 - 83.4. Let n = 105.903 - -0.097. Let k = q + n. What is k rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76064?\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**6 + 25*z**4 + 68229*z**3 - 1167036*z**2 + 3*z + 1 wrt z?\nAnswer: -240*z**3 + 600*z + 409374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - r**3 + r + (168102*r + r**2 - 68 - 168102*r)*((2 - 3 + 0)*(-3*r + 2*r + 3*r) - 2*r - 3*r + 3*r - 2*r - 2*r + 2*r + 6*r - 3*r - 4*r).\nAnswer: -8*r**3 + 476*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 18. Calculate the least common multiple of x and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 47. What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 0. Suppose 14*u + 45 = -31*u. Which is the nearest to 2\/5? (a) s (b) 7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 0*k**3 - 1 + 8*k**3 - 7*k**3 - 8*k**2. Give d(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3364 (base 10) in base 15?\nAnswer: ee4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -564158457.\nAnswer: 564158456.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/5 - 3644*x**4\/5 + 416568*x**3\/5 - 1216816*x**2\/5 - 14624*x\/5 + 324480 = 0.\nAnswer: -1014, -1, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731549.6 litres to millilitres.\nAnswer: 731549600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26\/17 + -1\/34. Let k = -277\/60 - -41\/30. What is the closest to k in c, 3, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 10. Let o be z(-7). Let y be 1 - ((o - 4) + 2). Solve 2*p + p - 15 = y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4 - 348*t**3 + 1038*t**2 - 1036*t + 345 = 0.\nAnswer: 1, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10629192 by 1771532.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:55 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 85124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130213?\nAnswer: 59, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-156)\/(-1716) + 21\/11. Let a(g) be the second derivative of 1\/6*g**3 + 0*g**p + 0 + 3*g. Let v(z) = -3*z. Calculate a(v(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/63 and 5\/217?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 e when four letters picked without replacement from eceeecccceeeccceeece.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*v = 0, 4*b = 3*b + 3*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -690991941*x**2 + 1260438638.\nAnswer: -1381983882*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23209\/4476 + -38\/373. Let z = -6466 - -116395\/18. Calculate the common denominator of z and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10599 + -10599.005839. What is x rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*p + 7*p**4 - 34*p - 5 + 5 - 4*p**4 + (0*p**2 - p**2 + 2*p**2)*(46*p - 46*p + 31*p**2) + (-p**2 + 1 - 1)*(-p**2 + 3*p - 3*p).\nAnswer: 35*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 33*d**2 + 28*d + 301. Determine t(34).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203.9 - -196. Let q = -8 - w. What is the nearest to q in 0, 5, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135 + -124 - (0 - (5 - 3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1482665617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -370*p**3*q**3 - 361*p**3 - 2*p**2*q**3 wrt q.\nAnswer: -1110*p**3*q**2 - 6*p**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 t when three letters picked without replacement from ndararatnatdzz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -27 (b) -0.1 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*-3*2\/42. Which is the closest to 0? (a) 0.1 (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 = -10*c + 2419. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 17, 60?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 35*c + 60. Solve -c = j - 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(252)*-1 - (-5 + sqrt(320) + 2 + 2*sqrt(320)).\nAnswer: -145*sqrt(5)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 - (7 + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32056 is divided by 86.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1. Let h(c) = 2*c - 67. What is -h(u) + 5*k(u)?\nAnswer: -2*u + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*u + 2809, 83*u - 5648 = -2*p + 88*u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*v - 474, 0*n - 4*n + 2*v + 378 = 0. Is 3 a factor of 8\/(-20) + n\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*t + 29128 = 23248 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0 - 1\/6*q**3 + q + 5*q**2. Let z be k(8). Solve z = -2*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 940 and 29542085?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33\/886 + -50705\/29238. Calculate the common denominator of c and -37\/105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + 0 + sqrt(18)) + 4)**2*-3*-1.\nAnswer: 864*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3 + 333*c**2 + 353*c**2 - 639*c**2. Let l(r) = r**2. Determine n(l(b)).\nAnswer: 47*b**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4691\/2*(-4 - -6). Suppose -n = -8*i + 781. Is i a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04449 + 0.05551. What is the nearest to -0.2 in -0.3, 18, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010101110111110101 (base 2) to base 6\nAnswer: 50002525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/160*-8*(-6)\/(-45)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 489, -8, -7 in decreasing order.\nAnswer: 489, -7, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/20*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/83808 and 63\/110968?\nAnswer: 11984544","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 2*35\/10 + 0. Suppose -4*h = -k - 37, -j*h = -0*h + 2*k - 36. Solve -6 - h = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*s**6*s*s)\/s*s*s*s)\/(s**(2\/7)*s))**(-25\/4)\/((s*s*s**(2\/5)\/s)**6\/(s**0\/s)**(-25)) assuming s is positive.\nAnswer: s**(-3963\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.76 + -1.36. What is the fourth biggest value in -1, -4, 6, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y + 10. Let d(o) = o**2 - 2*o + 9. Let t be d(0). Suppose 0 = -3*h + t - 3. Solve -z - 4*u = -y - h, 0 = -z + 4*u - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 11:03 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 3. Let k(d) = d - 1. Let t(b) = i(b) - 4*k(b). Determine t(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-16)\/(((j*j**7\/j*j)\/j)\/j*j) assuming j is positive.\nAnswer: j**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 54788 and 54793 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 17*k**2 + 69*k + 12. Let q be l(10). Are q and 85\/108 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000985 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-3 + (-2 - -9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**6 + 37*r**5 + 229*r**2.\nAnswer: -600*r**3 + 2220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22805668 plus -125?\nAnswer: 22805543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 10)*(4*l**5 + l**3 + 2 + 2860*l - 2860*l).\nAnswer: -64*l**5 - 16*l**3 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.84 - -22. Let v = k - 1.16. Which is the nearest to 1? (a) 1 (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-1 + 2) - (-7 - (-11 + 4))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -679 - -681. Suppose -2*p = 3*c - 9, 2*p - w*c = -3*c + 7. Let -9\/7*m**p + 3\/7*m**2 + 9\/7*m + 3\/7*m**4 - 6\/7 = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/i**(2\/17))\/(i**(-2\/21)*i*i*i\/(i*i\/i**(-10))) assuming i is positive.\nAnswer: i**(4276\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6 + 1. Suppose -i*s + 391 = -29. Suppose 7*k - s = 3*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 5*v**2 - 12*v - 5*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2550*n = 2475*n - 1650 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494388659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.36 + 1.448. Let i = -0.228 + s. Which is the closest to -2\/5? (a) -1 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27344413 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 14011241?\nAnswer: 14011240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245*v**3 - 2 - 1229*v**3 + 2.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*v + 48 = v, -5*v + 38 = 2*c. Let p be ((24\/63)\/2)\/(12\/c). Sort p, 0.5, -5, -0.2 in descending order.\nAnswer: 0.5, p, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*b - 18, 0 = -7*h + 4*h + 3*b - 30. What is the fourth smallest value in h, -2\/9, 0.6, -0.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8454 a factor of 1003379652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 a when four letters picked without replacement from aiaiaaaiiiaiiaaa.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4 - 657*o**3 + 25968*o**2 - 178308*o = 0.\nAnswer: -254, 0, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11474 - 4805. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/42 and -3\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 5:34 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004706 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:41 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -807072, 5, 3, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 + -33d81?\nAnswer: -33d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-5 + 10)) + (-12 + 12 - -3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 = 2. Put -2\/17, d, 3\/8 in decreasing order.\nAnswer: 3\/8, -2\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/5 (b) 0.06 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248896 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 822876744 to the power of 1\/2, to the nearest integer?\nAnswer: 28686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 11) to base 10.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.45 and -0.1.\nAnswer: -1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9506598317077\/492 + -19322347307. Let s = u - 6996. Is -1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b - -272?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:43 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 7*d + 7. Suppose -4*y + 42 = -5*f + 6, -2*y = -2*f - 16. Let c be 1 + (-9 - f - -11). Give l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -g + 3 + 34, 12*g + 6*g - 23*g - 75 = 37*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 19 - 59. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Suppose t*u - 5*w = 61 - 11, 3*u + 2*w - 10 = 0. Suppose i + 12 = 5*i. Solve 5*a + i + u = -d, 0 = d + 3*a + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = x. Let l = 9 + x. Calculate the lowest common multiple of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730 a factor of 5041873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -45005?\nAnswer: 45003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-967*g + 25155 - 25155)*(-4*g**4 - 2*g**4 + 5*g**4).\nAnswer: 967*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001307456391 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182.808 - 182. Round v to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/2 + 170*a**4 + 10499*a**3\/2 + 14146*a**2 - 119454*a - 128520 = 0.\nAnswer: -306, -30, -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 9*x**2 + 202*x + 2047. Let q be z(-11). Solve 24 = -t - q*o + 72*o, -5*o + 22 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, 36, -4, 1 in descending order.\nAnswer: 36, 1, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4849945 is divided by 1212414.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41415 and 6403485.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -164, -151, -140, -131, -124, -119?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390719 is divided by 97673.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**2 + o - 5. Let n(v) = -v**3 - 5*v**2 + 5*v - 4. Let q = 13 - 19. Let x be n(q). Let t be y(x). Solve m = -5*k + t, 2*k - 37 = -5*m - k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(176) + (sqrt(176)*-1 - sqrt(176)))**2*-1 + -1)*-5 + -2.\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + 8*n + 2*n - 3*n + 0*n + (1 + 1 + 0)*(n + 2*n - n) - 3 + 3 - 2*n + 9 + 4*n - 9)*(2*n - 8*n + 0*n).\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 32, 77, 158, 287, 476?\n\"Answer: 2*q**3 + 7*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141535897.\nAnswer: 17, 1823, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, -11, -61, -133, -227, -343, -481?\n\"Answer: -11*h**2 + 5*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -0.3, 13, -1\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -192 + 6776?\nAnswer: 6584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.913857ml?\nAnswer: 0.002913857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 5*s**2 + 7*s. Determine w(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*t + 2 - 4 - 220*t - 196*t.\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 167*q**2 - 252*q - 459. Give i(54).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 19*z**2 + 30*z - 208. Let j be l(18). Which is the second smallest value? (a) -0.02 (b) 2 (c) j (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23374528*l = -23374633*l + 2084 + 1066 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Suppose -7 + 3 = -z*g. What is the nearest to -2 in 4\/9, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*2*1\/(-2). Let v(a) = a**3 + 8*a**2 + 8*a + 9. Let w be v(m). Sort -5, -3, w in decreasing order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 7*j = -27. Let c be (-34)\/(-2)*-1 - -2. Is (c\/10)\/(j\/(-1284)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 41 = -8. Let p = 6 - 4. Calculate the lowest common multiple of w and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -48*i**2. Let y(f) = 84*f - 6. Calculate y(l(m)).\nAnswer: -4032*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075163 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11) + sqrt(11)*-2) + sqrt(11) + 5)*-3.\nAnswer: -9*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -271, -451, -631?\n\"Answer: -180*q - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33413*d**2*q**4 - d**2 + 14144*d*q**2 + q**4 wrt q.\nAnswer: -801912*d**2*q + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Suppose -2*q - q = 0. Let y(i) = -2*i + q*i - i + 5*i. Calculate y(k(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 + (-2794)\/40 + 3. Let q = 3455\/31 + -48021\/1240. Let h = q + b. Calculate the common denominator of -3\/4 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -24249*s - 120581. Determine i(-5).\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16616128, -33232252, -49848382, -66464518, -83080660, -99696808, -116312962?\n\"Answer: -3*t**2 - 16616115*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 9*j - 5*j - j**3 + 8*j**2 - 12 + 2*j**3. Let s be d(-9). Is -3 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 + 5?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -16767*u - 620355. Give i(-37).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15983*m = -16706*m + 32535 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 41*q = 0. Let t(a) = 4*a + 15. Let o be t(-5). Sort 3, o, q, -3.\nAnswer: o, -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -c7?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 3*z. Let t be 3 + -3 + -1 + 4. Let j = 0 - t. Give w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = c - 37, -33 = -4*c - 3*q. Suppose 4*l - 11*v + c*v = 214, -3*l = 5*v - 169. Is 43 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/40 - (-4)\/(-10))*3. Let z = -3.26 - -0.26. Let b = 8 + z. What is the biggest value in 0.3, -4, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -20, -73, -178, -353, -616, -985, -1478?\n\"Answer: -3*k**3 + k**2 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + (-282)\/8. Suppose m - 4*o = -4*m - 25, 0 = -2*o. Let s be (-84)\/v*m\/(-2). What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/12 + 5*p**3\/6 - 5*p**2\/2 + 11*p. Suppose 3*i - 2 = -2*n, 4*n + 4*i + 0*i = -4. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117\/((-18720)\/64)*2*(-1)\/8\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26826361*p**2 + 7348085?\nAnswer: 53652722*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1417412450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cceececece. Give prob of sequence ecce.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5662720 divided by -5.\nAnswer: 1132544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**2\/2 + 7*d - 19. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.70823*4\nAnswer: 10.83292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137087*y - 137085*y + 273024*y.\nAnswer: -1148*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2262 divided by 2\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 8671\/13371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 0.81, 445, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1976.59 rounded to the nearest ten?\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 9*t + 3. Let m(h) = 1. Let n(o) = a(o) - 3*m(o). Let q be n(-8). Solve 0*p + 3*p + q = -4*y, -4 = -5*p + 2*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -9 + 40 + -48?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccccchhccccccc. Give prob of sequence hchc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*c**2 - 11*c**2 - 2420*c - 28*c**2 + 1206*c + 1214*c - 42*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809610280 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10436.3 + -10434. Which is the smallest value? (a) 0.4 (b) 1 (c) 4 (d) l (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 5283*v\/4 - 38512.\nAnswer: (v - 29)*(v + 5312)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + 0*a**3 - 57*a**3.\nAnswer: -54*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83996 divided by 4.\nAnswer: -20999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**3 + 15*m - 5. Let p(g) = -4*g**3 - 7*g + 2. What is -5*p(o) - 2*w(o)?\nAnswer: 4*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-12) + 2\/8. Let a(d) = 3 + 1 - d**2 - 17*d + 3*d + 0*d**2. Let x be a(-14). Solve -3*o + x = o + 4*v, w*o = -5*v + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**2 + 570. Let z(o) = -21*o. Calculate z(y(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30363550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*w = -108. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 106, 141, 176, 211?\n\"Answer: 35*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 357\/(-7)*(-1)\/3. Suppose -10*u + j*u - 77 = 0. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -9. What is the smallest value in -19, 4, t?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1112659637 rounded to three dps?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -9\/5, 71, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:54 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6188 divided by -68?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -53*n - 494. What is the units digit of a(-58)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 177, 460, 873, 1416?\n\"Answer: 65*l**2 - 42*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 1 + 1)*(0 + 3 - 1) - 2*d - d + d - 2 - 2*d - 8 + 7 as s + g*d and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.63 + -1.5. Let t = m - 4.13. Let o = t + 7. What is the second smallest value in o, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + 66*g = 0. Solve 2*q = -2*v, g*v + 2*q = -v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 410\/1960 - (11 - 41)\/(-120).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -9. Suppose -2*k + 4*k - 5*w - 30 = 0, z*w = 3*k - 23. Sort k, -2, 3 in increasing order.\nAnswer: -2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15234 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 20*r**3 - 2\/9*r**5 - 22\/9*r**4 + 334\/9*r - 388\/9*r**2 - 34\/3 = 0?\nAnswer: -17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 932. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11138.786 + 11138. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1480383328 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9320.366 grams to milligrams.\nAnswer: 9320366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27263 times 0.5?\nAnswer: 0.136315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544237 is divided by 383.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 + 86*s - 51. Give m(-10).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 t, and 1 n when three letters picked without replacement from {x: 1, y: 2, t: 1, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*v - 1072*v + 269*v + 273*v + 0 + 0.\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.9. Let r = 997240 + -3988963\/4. Which is the second biggest value? (a) 10 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 168497 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**22*(h**(11\/4)*h)\/h assuming h is positive.\nAnswer: h**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7835 - 7834.72. What is the fourth biggest value in 1\/3, s, -2, 2, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 1. Let y(l) = -l**2 + 14*l - 17. Let a be y(s). Calculate the highest common divisor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21*g - 40. Let p be d(10). Let b = 175 - p. Solve 0*l = 5*l - b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.5 - 9.89. Let x = h + 0.49. Which is the third biggest value? (a) 0.3 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 4*o + 4. Let c(t) = 2*t**2 + 7*t + 9. Let d(w) = -4*c(w) + 7*k(w). Let f(i) = -4*i**2 + 5. Suppose 44*q + 35 = 51*q. Give q*d(g) + 8*f(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2770, 21985, 74074, 175453, 342538, 591745, 939490, 1402189?\nAnswer: 1996258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 9. Let h be (3\/9)\/((-19)\/228). Let u(q) = -2*q - 11. Let t(p) = h*u(p) - 5*k(p). What is t(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 + 102. Let c be 260 - (13 + -2) - (0 + 4). What is the greatest common divisor of o and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95363\/20 - -4767. Find the common denominator of -101\/130 and b.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 5. Let p = 6 + -4. Let o(m) = -2*m**2 + m**2 + 1 + 2*m**p - 3. Let j be 63\/(-7) - 3\/(-3). Give j*o(v) + 3*n(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 7 + 2 = 0. Suppose 4*x + 196 = -3*q, -x - q = -3*x - 88. Let c = -228\/5 - x. Is c != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 0*j - 3*j)*(333 + 526 + 342) to m*j + l and give m.\nAnswer: -2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.68328288 + -91516.28385288. Let n = k - -91487. Let p = 0.4 - n. What is p rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/399 + -4434\/133. Let r = -34 - c. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558090237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 81. Let o = 906.93 + -907. Which is the nearest to -1\/11? (a) o (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29321747 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 5 = 22*u. Let p be u*7\/((-35)\/4). Is (6\/p)\/(21\/84) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*1)**2 + 1 + sqrt(175).\nAnswer: 5*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 708.35 - 702. Let l = -6.85 + s. Put -0.03, 1, l in ascending order.\nAnswer: l, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7221\/2070)\/29 - 20\/230\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/362222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1339289 + -0.134. Round b to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y - 25 - 50551*y**2 + 50551*y**2 - 5*y**3. Let h(i) = 2*i**2. Determine k(h(x)).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7560)\/(-6426)*17\/(-1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 106117151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p + 3. Let f(k) = -11 + 14*k + 15 - 10*k. Let y be 4\/2*(-14)\/14. Give y*f(v) + 3*b(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-9)*i)))\/(i\/i**(-2\/31)))**(-8\/5) assuming i is positive.\nAnswer: i**(2248\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/9 - 100*q**2\/9 - 700*q\/9 - 500\/3.\nAnswer: -4*(q + 5)**2*(q + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -78.3. Let m = 5 - 2. Let o = q - m. Which is the closest to 1\/2? (a) 1\/3 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*-15746.2\nAnswer: 456639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5720 = -223*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2263626112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 30*q + 21. Let i(l) = 2*l - 1. Let w(h) = -2*i(h) - y(h). What is the first derivative of w(u) wrt u?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeaaaaeeeaaaeha. What is prob of sequence ea?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(76) - (sqrt(76) + (-3*sqrt(76)*5)**2)) + (2 + (sqrt(19) - sqrt(171)))**2 + 1).\nAnswer: -17019 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-90) + (-141)\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*2*(-154140)\/1835?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 106*o - 22507. Determine k(-98).\nAnswer: -2515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1707 - -1707. What is the fifth biggest value in -1, -2, 0.1, -3\/5, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0628694183 - -0.06287. What is o rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 30587 = -39*f - 977. What is the greatest common divisor of 144 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 4, 2, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -618 - 1362. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4621*p - 4614*p + 9239*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 - -0.5. Let r = 27365\/14 + -3909\/2. Which is the closest to j? (a) 0.5 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72777 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z + 182. Let w be h(12). Let f be (-44)\/11 - (-108)\/w. Let i = -4 - -4.4. Which is the smallest value? (a) i (b) 5 (c) 3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*h - 59*h + 155 - 155.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322707536 to the power of 1\/2, to the nearest integer?\nAnswer: 48194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4 - 653*g + 328*g + 326*g - g**2. Calculate u(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.51, -1, 4, -3\/5, -0.005 in descending order.\nAnswer: 4, 0.51, 0.5, -0.005, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 149, 16, 0.2, 3\/5 in increasing order.\nAnswer: -3\/8, 0.2, 3\/5, 16, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 381691 at most as big as 381692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-35)*(152\/(-20) + 5). Let g = 187\/315 - v. What is the closest to 3\/4 in -39, -3, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5245 - 3227. Let p = 3508 - z. Round p to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**3 - 2*b**3 + 3*b**3)*(-3*b + 2*b + 4*b)*(0 - 1 - 1).\nAnswer: 42*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-8)\/6*2\/(-4)*-123. Calculate the greatest common factor of g and 27142.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g**3 - 5*g**2 + 5*g**3 + 13*g**3 in the form c*g + h*g**2 + k*g**3 + m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*d + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 15*y**2 - 16*y + 6. Let c be t(-16). Solve -2*x + 4*x = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m. Let p(k) = -5*k**2 - 5*k. Let o = -3 + 6. Let a(j) = o*c(j) + p(j). Factor a(g).\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.068 - 0.468. What is the fourth smallest value in -0.2, 1, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 651*l**2 - l - 337301 wrt l.\nAnswer: 1302*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 1684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 594\/(-54) - (-5)\/(-5)*-3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -23*z**4\/4 + z**3\/3 - z**2 - 3*z + 4. Calculate the remainder when 67 is divided by f(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 18\/5, -46, -0.21, 2\/13, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 551 + -550.9998535. Round g to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h**2 + 28*h - 62. Calculate u(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1342741*k**3 + 3445267 wrt k.\nAnswer: -4028223*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29360 divided by -6.\nAnswer: -14680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0*s**3 + 0*s - 2*s**2 + 0 + 0*s**4 + 1\/60*s**5. Calculate the lowest common multiple of z(-3) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131115500 rounded to the nearest 1000000?\nAnswer: 131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. What is the second derivative of j**4 - 5*j**q + 2*j + j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 9*q. Let o be w(-9). Suppose -10*d + 13*d - 33 = o. Calculate the smallest common multiple of 5 and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 49, 154, 317, 544, 841, 1214?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2616 + -2603. Suppose j = 3*j - 4. Suppose 0 = -j*a + 4*a - 8. Solve -a*c = -5*r - d, r = c + 3*c + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1*28\/4))\/3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107.1 + 107.5. Sort 2, h, -2\/45, -5.\nAnswer: -5, -2\/45, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let d = -24.35 + 24.29. Sort q, -2\/15, d.\nAnswer: -2\/15, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102307098 divided by -753.\nAnswer: 135866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-5)\/(10\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1470*(-2)\/(-6)*-10. Round t to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k + 10. Let z be h(-7). Let a = z + 78. What is the smallest common multiple of 6 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -20*s**2 + 23*s + 16. Let a(l) = 7*l**2 - 7*l - 5. Let u(b) = -7*a(b) - 2*y(b). Suppose 109*r = 113*r + 8. Calculate u(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**3 - 2*l**3 + 5*l**3)*(-4*l - 3*l + 5*l) + 2 + 7*l**4 - 2 to the form d + m*l**2 + x*l**4 + c*l + n*l**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 167835487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448)*5)\/((sqrt(100)\/sqrt(5))\/sqrt(5) + sqrt(16)\/sqrt(4)*-5).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 2, a: 1, i: 2, w: 2, x: 7}. What is prob of picking 1 m and 1 i?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5604, 6176, 6762, 7368, 8000, 8664, 9366, 10112?\nAnswer: 10908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-5\/9))\/(n**5\/n*n))\/(n**(-1\/9)*(n**10*n)\/n*n*n) assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-481)\/(-962))\/((-69)\/34 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*2 + (sqrt(175)*1 + sqrt(7) - sqrt(7))**2.\nAnswer: 12*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from hwvhshuhuv?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 44, -2, 19, -6, 2 in increasing order.\nAnswer: -13, -6, -2, 2, 19, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 1026*j - 7084.\nAnswer: -2*(j - 506)*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25890 is divided by 648?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 40935525471527.\nAnswer: 40935525471531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 79\/11 + (-5)\/110*4. Let o = f - 5. What is the hundreds digit of 3\/((o + -3)\/(-37))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -2.7. Let y = -2397\/7 - -343. Which is the second smallest value? (a) y (b) h (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15318.\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12*q - 10. Suppose 12 = -10*a - 2*a. Let z be g(a). Sort 3, 14, z, -1 in descending order.\nAnswer: 14, 3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -747 by 35.\nAnswer: -747\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Suppose -3*s = -n*g + 57, 21 = 3*g + s - 32. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/12 + 11*i**3\/6 + 11*i**2\/2 - 1113*i. What is s(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {e: 2, x: 1, l: 6, m: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.39, -6, 10, -0.4 in decreasing order.\nAnswer: 10, 2, 0.39, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 344131 times 19\nAnswer: 6538489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 8 = 4*a - 4*n, n - 6 = -a. Let j(f) = 1 + f**3 + f + a + 0*f - f**2. Suppose 5*u - 4*u = 0. Calculate j(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 256, 388, 522?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28790 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*t*x*y - t*x + 22*t*y - 174*t + 9*x*y - 2 wrt x?\nAnswer: 62*t*y - t + 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2. Let u(j) be the third derivative of -j**4\/12 + 2*j**2 + 7*j. Calculate u(z(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33607 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 24 - 56. Let m be (((-66)\/c)\/(-1))\/((-6)\/(-16)). What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/10)\/(852\/40). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.0581 litres in millilitres?\nAnswer: 68058.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7493, -14987, -22481, -29975, -37469, -44963?\nAnswer: -52457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 100?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*r = 21, 24*y + r - 351 = 3*r + r for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766169553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 48935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(4 - n - 4) + (-5 + 4 + 2)*(0 - 2 + 0)*(-7 + 6*n + 7).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -13*k**4\/24 - 71*k**3\/6 + 4*k**2 + 18. Let w be o(-6). Solve c = 4 - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288.528708 rounded to 0 dps?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -403*z - 45985. Give f(-114).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -7, -1 in decreasing order.\nAnswer: -1, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -754.\nAnswer: -2262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**2 + 30*m + 6. Let n = -9 + 14. Calculate the remainder when c(-4) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 55436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21 and 3889171521.\nAnswer: 3889171500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.03 + -2.93. Let v = -11 - -11.2. Put -0.013, v, l in descending order.\nAnswer: v, l, -0.013","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)*g**15 assuming g is positive.\nAnswer: g**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(-3*h**3 + h**3 + h**3) + (250*h**2 - 62*h + 62*h)*(0*h + h + h).\nAnswer: 501*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -42, -10, 79 in decreasing order.\nAnswer: 79, -5, -7, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19283597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26903695?\nAnswer: 5, 7, 13, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3966*d = -3960*d - 2*l - 32, 823*d + 4*l - 6616 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 4*j**7\/945 - 2*j**6\/135 - j**5\/90 + j**4\/12 - 177*j**2. Solve z(u) = 0 for u.\nAnswer: -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/45 + 27872\/13410. Let g = p - 15\/149. Find the common denominator of g and 62\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24672225043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13803 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.82 - 14.82. What is the second biggest value in 9, -0.5, -1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -21*v + v**2 + v + 10 + 11*v. Calculate y(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157.36 - -130. Let s = d - 0.64. Let b = -222 + 222.1. Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.637 - -0.637. Sort 3, -1, 2, y.\nAnswer: -1, y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*h**4 + 54*h**2 - 54*h**2 + 12*h wrt h?\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 1:44 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -2*sqrt(208)*-2) + 1 + (-3 + -2*sqrt(832) - (sqrt(832) - (sqrt(832) + sqrt(832) + sqrt(832)*1 + sqrt(832)))**2*3).\nAnswer: -22474 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 2\/7, -1456\/51, -1\/2 in descending order.\nAnswer: 2\/7, 1\/11, -1\/2, -1456\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 245*p**2 - 122*p**2 - 124*p**2. Let g(q) = -27*q. What is g(s(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - -44) + 1 + -4 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (23 - (-48 - -110))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17) + 3 - (sqrt(119)*-1 + sqrt(119))\/sqrt(7))**2 - (sqrt(1088) + (4 + -2 + sqrt(1088) - sqrt(1088) - sqrt(1088)) + 2)**2.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134 + 134 - 70*r**5 + (-2*r**3 + 3*r**3 - 2*r**3)*(16*r - 36*r**2 - 16*r).\nAnswer: -34*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 575 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2001 - 2000.4. Sort 0, 6, p.\nAnswer: 0, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/816 and 65\/32.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*o**3 - 152 - 1292*o - 741211*o**2 + 56 + 93*o**3 - 48 + 738331*o**2.\nAnswer: (o - 36)*(9*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4040 and 292395?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4089.\nAnswer: -8178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.3 + 117.7. Let f = 151402.9887 + -151554. Let u = f + y. What is u rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114137 and 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 11:55 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(313 - 347 + 719)*(1 - 1 - 1)*(y**3 + 6*y**3 + 0*y**3).\nAnswer: 4795*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19, 3, 1173\/10, 6.1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 1. Let r(j) = -9*j - 9. Suppose 0 = -3*u + c + 54, 3*c = 12*u - 15*u + 54. Calculate u*x(f) - 2*r(f).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) + (-38)\/(-6). Solve n = 3*s - 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53340588?\nAnswer: 2, 3, 7, 23, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69215 and 47960?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26378748 by -4594.\nAnswer: 5742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldlllld. Give prob of sequence dldd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45339\/(-13685) - 85\/(-25)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -8 + 7 - 3) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 53*h = -273. Solve 5*z + 2*s = h, 0 = 17*s - 20*s + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from xxpxppppxppxxxpxxpxx?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5543 - 5490. What is the remainder when c is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -p + 4*w - 52, p = -5*w + 130. Suppose -2*o + p = -3*j + 2*j, -55 = -o - j. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3.7, -6 in decreasing order.\nAnswer: 3, -3.7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 11*d + 14. Suppose 4*y + 24 = -24. Let r be a(y). Suppose -r*h = -5*w + 6*w - 45, -2*h + 198 = 4*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -130?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccqcqc. What is prob of sequence cqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 64. Suppose 2*u = -2*m + m + 36, 2*m = n*u + 54. What is the units digit of 59\/(-2)*m\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/3 + 254*o**4\/3 - 503*o**3\/3 - 254*o**2\/3 + 168*o = 0. Calculate o.\nAnswer: -1, 0, 1, 2, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -53 (b) 34 (c) -27\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*b**2 + 102*b**2 - 47*b**2)*(-b + 19*b - 4*b) to the form g*b**3 + s*b**2 + y + i*b and give g.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15b2 (base 12) to base 5\nAnswer: 40312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5969 = 3*g + 3*y - 943, 0 = 5*y - 15. Calculate the least common multiple of 21 and g.\nAnswer: 16107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b, -5*b - 6 = -2*i - 3*b. Suppose 0 - i = -2*x. What is the second derivative of 2*w + 7*w - 5*w + 4*w + 6*w**x wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 17. Suppose 5*l + 10 = -5*r, 5*r + 15 - 5 = l. What is the nearest to p in -2\/5, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150899 is divided by 150877?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*d - 36*d + 25*t + 345, 0 = -4*d + 4*t + 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 299708 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:06 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*v - 35. What is the common denominator of 143\/42 and (-6425)\/(-1050) - (-1 - v)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 553\/74 + -15\/2. Let n = h - -79\/185. What is the closest to 0.08 in 5, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -794 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1207*p**3 - 4*p*u**3 - p + 3*u**3 + 246*u**2 wrt p?\nAnswer: -3621*p**2 - 4*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*((y\/(y**(-2\/57)*y*y))\/y)\/y*y**(-1\/41) assuming y is positive.\nAnswer: y**(-4649\/2337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -252, -285, -302, -297, -264?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -169, -216, -281?\n\"Answer: -9*r**2 - 2*r - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1349*s**2. Let q(m) = 308 - 156 + 5*m**2 + m**2 - 152. What is a(q(y))?\nAnswer: 48564*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**3 - 18*n**2 + 0*n - 2*n + 156*n**3 + 14*n**2. What are the prime factors of t(2)?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1037\/4 in -0.4, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*g + 10 = 4, -3 = g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2886)\/56)\/(-13) + (-8)\/2. Is 0 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140a (base 13) to base 6.\nAnswer: 21203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/6*(-24)\/(-20). Suppose 1 = -2*s + 5. Solve s*r - 6 = -16, -22 = o*c + 2*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 143, 318, 563?\n\"Answer: 35*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 25 - 50 + 25 + 48*y**2.\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -0.1085?\nAnswer: 6.8915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40451 + 6149. What is o rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Suppose 96*z = 48*z + 288. Let l(j) = -6 + 6*j - j**2 + 1 - 1. Let t be l(z). Give v(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*a + 159*a + 151 + 319. Let l = 9 - 4. Sort -7, l, a in decreasing order.\nAnswer: l, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 4, 5, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 37. Suppose 5*p + 2*b = 9, -5*p + 4*p - 3 = a*b. What is the smallest common multiple of p and 19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 + 3*f + 5. Let v(l) = 2*l**2 + 4*l + 3. Let c be v(-2). Let d be h(c). Suppose -10 = 5*b - 0*b. Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -25*h + 13. Let g be i(-3). Let c = g - 85. What is the remainder when 16 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7554540 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 6. Let v = -12 + 4. Let l be a(v). Calculate the highest common factor of l and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119.164 times -66\nAnswer: 7864.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - i**3 + 13 + 3*i**3 wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -36 + 19 + 16. Let h(j) = -2*j + 10. Let x(m) = -2*m - 17. Let c be x(-8). Let o(l) = c*h(l) - 10*p(l). Let t(n) = -6*n**2. Determine o(t(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**3\/3 + y**2\/2 - 2*y. Suppose 3*g - 5*g = 10, -3*t = -g - 2. Calculate r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1734*a**3*i**3 + 19*a**2*i**2 - 18*a*i**3 wrt a?\nAnswer: -10404*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, s: 6}. Give prob of picking 2 s and 2 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-110)\/8)\/(2\/8). Let s be ((-8)\/5)\/((-11)\/j). Let v be s\/(-2) + 1 + -1. Solve -5 = 3*o - v*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 2. Let q(o) = -2*o - 1. Determine -2*q(j) - 3*u(j).\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323 - 10?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47, -122, -249, -428, -659, -942?\n\"Answer: -26*c**2 + 3*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 12, -3*n - 2 = -5*m + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = u - o, -3*u + 5*o = 8. Suppose 4*t - 7 - 2 = -s, -u*s + 4 = 0. Is 380 + (t + 2 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from mmhhazh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*o + 4, -4*o + 2*l + 10 = -2. Suppose -2 - o = -2*s. Suppose -29 + 1 = -s*t. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.103 - -10.103. Let l be 9\/30*(-2)\/(-3). What is the closest to 2\/5 in c, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 27. What is f(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 144*q + 12840 = -13*q. Let t(o) = -o**2 + o + 14. Calculate the remainder when q is divided by t(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 286*c**5 + 3*c**4 - 78*c - 4. Let q(x) = -859*x**5 - 8*x**4 + 234*x + 12. Let n(j) = -3*q(j) - 8*w(j). What is the second derivative of n(d) wrt d?\nAnswer: 5780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(280\/(-42))\/20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - (8 + -8 + 7) - (-1 - 26))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 659760 divided by 164940\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/30 and -71\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -439.5\nAnswer: -439.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28808657*j**2 - 2*j + 181363673 wrt j?\nAnswer: -57617314*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 4. Let m be h(6). Find k such that -m*k**2 + 16*k - 2 - 1 - 5 + 2*k**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469912 is divided by 148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 3*h**2 + 4*h**2)*(16 + 17 - 31)*(-1 - 3 + 5)*(15*h + 119 - 119).\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2 - 2)*(2 + 4 - 3) + 0*g - 3*g + 5*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 14*r**2 + 16*r + 29. Let w be k(-15). Suppose 2*i = -2*i + 5*h + 28, -3*i = 5*h + w. Solve -5*g - 5 = 0, -3 - 19 = 5*f + i*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 914*z + 4555 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6278.567 litres?\nAnswer: 6278567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -904 + 927. Let n(b) = 7*b**2 + 2*b + 1. Calculate the remainder when q is divided by n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**39*f\/f**(-2\/85) assuming f is positive.\nAnswer: f**(3487\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 2. Suppose 4*o - 3 = -s + 11, -o + 9 = 3*s. Suppose 0*d - 3 = k + d, -3*k - s*d - 10 = 0. Let c be (k\/(-2))\/((-4)\/(-12)). Determine h(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -13*r**2 + 2*r - 2. Let f(k) be the first derivative of -7*k**3\/3 + k**2\/2 - k + 151. Determine 4*a(b) - 7*f(b).\nAnswer: -3*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (3 - -2) - -1 - -10 - 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120469 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: Sort -1273, 2, -180 in descending order.\nAnswer: 2, -180, -1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 51 = -3*j - 4*k, 17 = -j + 4*k. Let d = -12 - j. Let y be 20\/(-10)*d\/2. Put 2, -2, y in descending order.\nAnswer: 2, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59220 and 1500.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 9 (c) -314 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in millimeters?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -106\/224375?\nAnswer: -106\/224375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1052.9 - 1107. Let r = t - -50. Let d = -1.2 + r. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -14. Suppose 0*k + 11 = -k - v*t, 3*k - 35 = 5*t. Suppose 146 = k*x - 2*g, -x + 70 = x + 5*g. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (8 + -4))\/1. Solve -94*z + 98*z = m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(sqrt(38)\/sqrt(2)*1 + sqrt(19) + 2).\nAnswer: 13 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*i - 2 = 7, -2*w = -4*i - 22. Suppose 7*d - 20 = w*d. Suppose -3*s + 4*m + 19 = -0*m, -s = d*m + 19. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -694 + 693.417. Let b = f - 0.107. What is b rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384 by 24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46903 divided by -6.\nAnswer: 46903\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 869418.\nAnswer: 869418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -616 - -609. What is the tens digit of (-4773)\/(-9) + v\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1082201?\nAnswer: -1082203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 651210197 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2097993, -2097997, -2097999, -2097999?\n\"Answer: m**2 - 7*m - 2097987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107673927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*a - 3*a, 0 = 4*a + o + 7. Let b = 2 - a. Suppose -b*l = l + 5. Let m(t) = 7*t + 1. Determine m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -7*k**5 - 2195*k**4\/4 - 3640*k**3\/3 + 610*k**2 - 2152. Suppose l(y) = 0. What is y?\nAnswer: -61, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4032 and 1035888?\nAnswer: 12430656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 + -134. What is the nearest to -1\/3 in -4, o, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 9*k**2 - 8*k + 25. Suppose -4 = -r - 10. Let n be h(r). Let f = 40 + n. Solve f*x + 0*m + 3*m = -1, 2*x - 4*m = -16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7045222 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 0*q)*(5*q - q - 6*q) - q - 267 - 135*q**2 + 304*q**2 - 168*q**2.\nAnswer: 3*q**2 - q - 267","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -24*w**2 + 380*w + 85. Calculate y(16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 648301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 28. Let a(l) = 16*l**2 + l + 1. Calculate the remainder when 50 is divided by a(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let f be (3 + -2)*(3 + q). What is the second smallest value in 5, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 117.93. What is l rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/((-4)\/24). Let k(w) = 6*w + 3 - v + 4*w**2 - w**3. What are the prime factors of k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - ((-15 - 10) + 9 - -10).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3391*w + 40. Let r(a) = -1131*a + 14. What is 6*g(c) - 17*r(c)?\nAnswer: -1119*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7\/b)\/(b\/(b**(-1\/14)*b)))\/(b**(2\/3))**(24\/11) assuming b is positive.\nAnswer: b**(689\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 28006 = 11*u. Calculate the highest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (219\/(-730))\/(135\/(-31500))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8023 times -2.4548?\nAnswer: -19694.8604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31020113 - 301?\nAnswer: -31021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 11) + -7 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) + 1*sqrt(20)) + (-2*(-3 + sqrt(17)*1 + sqrt(17)))**2.\nAnswer: -143*sqrt(17)\/3 + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-630)\/(-140)*1\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58131, 116251, 174361, 232461, 290551, 348631?\n\"Answer: -5*z**2 + 58135*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by -4.\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1681681*m**6*w**2 - 17*m**3*w**3 - 94*m**2*w**3 + m**2*w - m**2 + 8*w**3 + 13*w**2 - 2*w wrt m?\nAnswer: 201801720*m**3*w**2 - 102*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.13 + -30.12991961. Round a to six dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 257 = -6*b. Let u = -62 - b. What is the nearest to 2\/9 in u, -35, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 + -0.03. Let i = -6.3 + 8.58. Let m = i - 2.26. Put m, d, -1 in increasing order.\nAnswer: -1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 4*p**2 - 7*p - 6. Let n(y) = -y**2 + y + 1. Let a = 10 + -4. Let b(m) = a*n(m) + u(m). Factor b(i).\nAnswer: -i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -488967\/56 or -8731?\nAnswer: -488967\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 + 2 + (-4 - -4). Let d be 34\/(-3)*(-6)\/q. What is the highest common factor of 187 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - r - 2 = -0, 4*q - 3*r = q + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1486*a - 30 = -2*t - 1484*a, -3*a - 3 = 0. Solve q - t*q - 52 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3046174 (base 11) to base 15.\nAnswer: -714775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 31*f - 59. Let p be a(-2). Sort -5, p, 0, -2, -4 in ascending order.\nAnswer: -5, -4, -2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*q + 79*q**3 - 279*q**3 + 5*q**5 - 810*q**2 + 1370*q**2 - 822*q**2 - 26 - 48*q**4.\nAnswer: (q - 13)*(q + 1)**3*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*b + 12 = 0, -3*q + b = -2*b - 15. Suppose 0 = 4*f + 5*a - 11, 5*a - a + 20 = q*f. Factor 2*w**2 + 0*w**2 - 3*w**2 + 8 - f.\nAnswer: -(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 16\/3)\/(1\/9). Suppose -2*z = h*z + 4*s - 156, 12 = 3*s. Calculate the smallest common multiple of z and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6145420928?\nAnswer: 2, 83, 113, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 8)*(-17*j - 279 + 279 + (-2 + 2 + 2*j)*(3 - 3 - 4)) in the form w + f*j and give f.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198707?\nAnswer: 3, 29, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*q**2 - 84*q**2 - 82*q**2 - 88*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - 3*d**4 + 3*d**4 + (18*d**3 + 3*d**3 - 3*d**3)*(14*d**2 + 16*d**2 + 3*d**2).\nAnswer: 593*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 694 = -4*g, 4*t - 5*g = 946. Let d = t + -82. What is the remainder when d is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**5\/20 - 5*c**4\/12 + c**3 + c**2\/2 + 9*c - 5. Let m(k) be the first derivative of o(k). Determine m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 10269\/242215 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5686*n. Let b(a) = -2*a**2. Determine b(j(p)).\nAnswer: -64661192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 r when four letters picked without replacement from {r: 2, v: 3, m: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-93)\/(-155))\/((-9)\/(-465)). Suppose 1 = -x, 2*y = 6*y + x - w. Let a = 47 - 27. What is the least common multiple of a and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from qcqcc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - sqrt(504)*2)\/(sqrt(175)*-4))**2 + 5.\nAnswer: 259\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1030\/(-60) + 65\/390?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24221, 96864, 217935, 387434?\n\"Answer: 24214*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 8*n + 4. Let k be y(8). Is 11*(3 - k)*-1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.036 + 24.964. Let k = -24.86515 - 0.13385. Let x = g + k. What is x rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 + 2*z. Let f be p(5). Let m(d) = 8*d**2 - 11*d - 23. What is the hundreds digit of m(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32377651.3 rounded to the nearest 1000?\nAnswer: 32378000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 1. Let w(b) = 9*b**2 - 12. Give 36*f(c) - 3*w(c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14527 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 1240510?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -209\/183896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k**2 + 388. Let f be a(0). Suppose 307 = 5*s - f. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 + 15*p**2 - 26*p + 154. Does 94 divide s(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1, l: 1}. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 - -1)) + (-9 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -24. Differentiate a - u + 6*a + 0 wrt a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-2)\/(-48)). Suppose h - 5*x - s = 0, 2*h - 10 = h + 4*x. Let c be (-1 + h - 2)*0. Round c to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 51 = 46. Solve -2 = -w*r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3633647808 + -13241012693407\/3644. Let n = -6\/911 + d. Suppose 126 = 4*s + s + 3*o, 5*s - 128 = -4*o. Calculate the common denominator of n and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/1071 - 16775\/1071. Let i = -3365 - -3350. Let j = h - i. What is the nearest to 1 in 0.06, -5, j?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2274 + 674 = 0. Calculate the common denominator of 1140\/(-315) + 2\/6 and c\/63 + (-6)\/(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 19*s + 964. Let a(g) = -6*g - 314. Give -10*a(l) - 3*o(l).\nAnswer: 3*l + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:56 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 39. Let a(f) = 7*f - 70. Let u(k) = 5*a(k) - 9*b(k). Let v(c) = 1. Determine u(x) + 2*v(x).\nAnswer: 8*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/8)*u*u)\/u*u**(6\/7))\/(u*u**(-4\/7)*u*u\/(u*(u**(-1\/4)*u*u*u)\/u)) assuming u is positive.\nAnswer: u**(185\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 0*r**2 - r**2 + (2*r + 0*r - r)*(5*r - 2*r + 3*r) to y*r + d + o*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t**2 + t - 2. Let i be z(-2). Let o be (-1)\/(-1*(1 + i)). Suppose 3*w - 13 = -o. Solve -h - 3*c + 5 = -0*h, -3*h - w*c = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - ((2*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77)))\/sqrt(7)*2.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*u + 232*u - 1660 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*w**3 - 2*w**2 - 164*w - 33808 wrt w.\nAnswer: 135*w**2 - 4*w - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 750*w**2 - 8876*w - 14760.\nAnswer: -(w + 2)*(w + 10)*(w + 738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 14\/1 + -3. Suppose d + 33 = x. Let z = -31 + x. Calculate the remainder when 42 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4 = 2*l. Suppose l*p = 3*p - 4. Suppose 0*j = j + p*r - 34, 3*r - 43 = -2*j. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h**3*s*u + 800*h**3*s - 248*h**3*u - 52*h**3 + 13*h*s*u + 3*h + 6*u with respect to s.\nAnswer: 7*h**3*u + 800*h**3 + 13*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 10*t + 7. Suppose -2*m - 5 = 5. Let d be w(m). Suppose -2*c + 4*c - d = 0. What is the remainder when 30 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(228) - -5*(sqrt(228) - sqrt(228)*-3))\/(-3*sqrt(432) - (sqrt(768) + sqrt(768)*-1 + sqrt(12))) + 2.\nAnswer: -22*sqrt(19)\/19 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t + 30*t - 61*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*u - 16, 4*j + 5*u = 5 + 15. Let m = 19 + -7. Solve g = -4*i - j*g - m, -2*g - 3 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -196*j + 14. Let g(u) = -3*u**3 + u**2 + u + 1. Suppose -s - 2 = -0*s. What is the remainder when g(s) is divided by i(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 6 = -13*u + 3*d, 0 = -3*u + 15*d - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -5. What is the smallest common multiple of (1112\/40 - -18) + (-8)\/10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 4:28 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28747 = 3*x + j, -26019 - 12301 = -4*x + j. What are the prime factors of x?\nAnswer: 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c*f**2*s**2 - 63*c*f**2*s - f**2 + 21*f*s**2 - 18*f - s wrt c.\nAnswer: 5*f**2*s**2 - 63*f**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + l - 3*l)*(2*l**2 + 3*l**2 - 6*l**2) + l - 2*l**3 - 2*l**3 + 680404 - 680403 - 726*l**2 as c*l**2 + f*l + s*l**3 + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(2\/7)\/(h\/h**6*h**1) assuming h is positive.\nAnswer: h**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 10. Let z(n) = -1. Let k = 83 - 73. Let u(h) = k*z(h) + l(h). Let f(c) = 16*c**2. Determine u(f(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - 0.4. Let z = -114 + 110. Let c = 1.2 - 1. What is the third smallest value in c, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1906154972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 4*n + 5*n - n. Let p(u) = 2*u + 1. Let b(g) = g + 1. Let d be b(-3). Calculate d*p(w) - 3*o(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(8\/9)*w)\/(w\/(w**(2\/3)*w))*(w**(-2\/11))**(-48))**39 assuming w is positive.\nAnswer: w**(18382\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gddd when four letters picked without replacement from gdgdddgd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -151 - 3*q**2 - 6*q**3 + q**3 + 150 as m*q**3 + g*q**2 + u + l*q and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 11 = 3*q, 0 = q + 4*w - 9*w - 8. Suppose 4*c - 4*z - 32 = 0, q*c + c + 4*z = 8. Calculate the remainder when c is divided by 6\/(-21) - (-46)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-60))\/((-38)\/1805*-76)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s + 48. Let w be u(6). Suppose -9*y + 1 + 26 = w. Solve 4*q = y*r - 0*r + 7, 4*r = 4*q - 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 400482 by -9.\nAnswer: -44498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 7*m + 9. Calculate t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15*1\/6. Let g(q) be the second derivative of 0*q**3 + 0*q**5 + q**2 - b*q**6 + 0 + 0*q**4 + 2*q. Differentiate g(m) with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*i - 59*i - 57*i)*(-18916 + 56*i**2 + 18916).\nAnswer: -224*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from npponpscns?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}