diff --git "a/data/dm_maths/full_data_2/1178_11255.jsonl" "b/data/dm_maths/full_data_2/1178_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1178_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v be 1\/2 + (-6)\/(-4). Let x(c) = -3*c**2 - 4*c. Let i(m) = -3*m**2 - 5*m. Let n(p) = 4*i(p) - 5*x(p). Let b(g) = -16*g**2 + g - 1. What is v*b(u) + 11*n(u)?\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 5, -5, -2 in decreasing order.\nAnswer: 8, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 79 = 3*j, -j + 2*j = -t - 71. Let u = -27 - t. What is the remainder when 239 is divided by u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254924*g**2 + 39*g + 471?\nAnswer: -509848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -15 + 35, 0 = 5*n - 3*c - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.847 + -0.7792. Let c = t + 0.3322. Suppose 2*f + 4*x = 26, -5*f + 21 + 5 = -3*x. What is the fourth smallest value in 3\/8, c, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 9536528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 2*y**2 - 2*y**2 + 4*y**2 + 6. Give f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344 and 77802816.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -85603, -7, 2 in decreasing order.\nAnswer: 2, -7, -85603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -98. Let w be (-14)\/3*(u + -6). Let y = w - 24. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1261 + 1267. Let r(d) = d**2 - 11*d + 1. Let f(z) = z**2 - 10*z. Let h(s) = 6*f(s) - 5*r(s). What is h(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-14 + 3 - 0 - (44 - (-49 - 41)))?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 7*a + 312. Let n be r(0). Suppose -2*q = 5*c - n, 10*c = 7*c - 6. List the prime factors of q.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 18. Let k(q) = q - 9. Let j(t) = 11*k(t) + 6*s(t). Let o be j(9). Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88204394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**5\/50 - i**4\/10 + 2*i**3\/15 + 3. Suppose y(t) = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510667 divided by 11?\nAnswer: 2510667\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154 - (-32 + -46)) + 89?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37\/(-2))\/(2 - 0\/1). Let z = w - -107\/12. Let k = -0.8 - -1.5. Is k < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = 6*j. Let t(w) = 2*w**2 - 4*w - 4. Let a be t(j). Let v(r) = 26 + 66*r - 67*r - a. Let i(q) = -21*q**2 + 2*q. Determine v(i(y)).\nAnswer: 21*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*j - 5*j**4 - j**4 + 24*j + 3*j**3 - 3*j**2 + 22*j - j**2 + 2 to g*j + m*j**2 + w*j**3 + f*j**4 + i and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -952, -3798, -8542, -15184, -23724, -34162, -46498?\nAnswer: -60732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -339948, -339947, -339946, -339945?\n\"Answer: n - 339949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 - 2*b - 6. Calculate k(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9412550 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/17 - 3090986*w\/17 + 3090988\/17.\nAnswer: -2*(w - 1)*(w + 1545494)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 21 = 3*c + 12, -2*y = 2*c + y + 20 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**3 - 7*y**2 + 10*y**2 + 13*y**2 - 17*y**2.\nAnswer: 22*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-36) + 976\/(-18). Suppose 26*b + 8 = 28*b. List the prime factors of h\/b*(-22)\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 17, 29, 41, 53?\n\"Answer: 12*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-6336)\/20)\/8)\/((-69)\/1610). What is the greatest common factor of p and 1518?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/16490 and 113\/17374?\nAnswer: 8426390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (250 + 66 - 48)*(a - 4*a + 2*a) - a + 2 - 2 as r*a + n and give r.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51255 and 60.\nAnswer: 205020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 49*p**4 - p + p**3 + 836 + p**2 - 837 to a*p**4 + z*p**2 + c*p + j*p**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 43*h**2 + 33*h + 3. Let x(z) = 17*z**2 + 17*z + 1. Give -4*n(r) + 10*x(r).\nAnswer: -2*r**2 + 38*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-2*f + 0*f + 3*f + (-4 - 2 + 5)*(-2*f + f + 2*f) - f - 4*f + 4*f - f - 1 + 1 + 8*f + 14*f - 21*f + 5*f - f - 2*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 + -67584?\nAnswer: -67522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 84 + 36. Suppose -2*q + b = 2*q. Calculate the lowest common multiple of q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -32. What is the remainder when 33 is divided by ((-4)\/a)\/((-4)\/(-180))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/(v\/(v**(-3)*v)))**29 assuming v is positive.\nAnswer: v**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 38*n**2 - 128*n - 52. Let w be y(22). What is the highest common divisor of 14436 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*r + 2340 - 2624. Let j(l) = 4*l**2 - 2*l + 5. Let y(w) = 8*w**2 - 5*w + 11. What is r*y(q) - 9*j(q)?\nAnswer: -4*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 91. Let f be 50\/(-40)*4\/m*2. Let l = 0.9 - 1. What is the nearest to l in f, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220260 + 0?\nAnswer: -220260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/5)\/(-4))\/((111618\/18020)\/351)?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 10:08 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*n**3 + 95*n**3 - 3*n**2 - 128*n**3 + 3*n**2 + 44.\nAnswer: 56*n**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -4*o - 24, 0 = 2*v - 5*o - 24. Is v < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30554291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 28 = -r + 4*l, 0 = l + 4. Solve y = r - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z + 41 = 544 + 109. Solve z*y - 32*y = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*a**4 + a**3*v - 32*a**2*v - 14*a*v + 6*a - 2*v - 4 wrt a.\nAnswer: -2604*a**2 + 6*a*v - 64*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3036 = -5*a. Let j = -990 + a. 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 -18400009 = 2*f - 3*x, 0 = 2*f - 5*x + 12118182 + 6281833. What is f rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4211746?\nAnswer: 2, 7, 11, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-16) - (6652\/(-592) - 0) - 9?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 266714?\nAnswer: 44\/133357","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-7)*(-1)\/5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 1. Let t(i) = 51*i**2 + 44*i**2 - 8*i + 41*i**2 + 49*i**2 - 186*i**2 + 4. Determine t(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1137 and 1181 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - c**2 + 5*c**2 + 4 - 4 - 2*c**2 + (-2*c - 2 + 2)*(-4*c + 2*c + 3*c) + 0*c**2 - 4*c**2 + c**2 - 2*c**2 + 0*c**2 + 0*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/1545 and -23\/3090?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-3)\/(-3)*-1*7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**3 - 2*r**2 - 7*r + 12. What is n(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-6)\/(-27)*(3 - 17\/6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**4 + 6*o**2 + o - o + 9*o**4 wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - sqrt(99)\/(-1*sqrt(11)))\/(-6*1*sqrt(3)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -6 + 28 + (-2 - 3) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*p**3 + 438*p**2?\nAnswer: -1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 11*l**2 + 19*l + 13. Let n be a(-9). Solve 5*r + 0*r + 20 = 2*o, 0 = -n*o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 0.365892.\nAnswer: 1.365892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 145. Calculate the lowest common multiple of 8 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -3*z. Let f(h) = 4*h + z*h + 3*h - 4*h. Suppose 65*s - 3*s + 91 - 29 = 0. Determine f(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 171 = v. Let n = -82 + v. What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 13*d + 5 + 12*d)*(75*d - 42 + 78 - 38)*(2 + 1 - 1)*(-1 - 3 - 2).\nAnswer: 900*d**2 + 1776*d - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-27 + 87 - (-24 + 38))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219743093?\nAnswer: 219743093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/l**(-19\/5)))\/l)\/((l\/l**(2\/17))\/l)*(l*l\/((l\/((l\/l**(-33))\/l))\/l))**(-35) assuming l is positive.\nAnswer: l**(-104438\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 + 24*m + 7. Give g(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*r - 414 = -19*r - 50*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/((-26)\/(-78)). Let m be f*18\/(-8)*3\/(-9). Solve y = -m*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/25, -77, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16114687335 + -16114686974.00000259. Let r = h - 361. Round r to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 11 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 25*d**8\/112 + 41*d**7\/42 + d**6 + d**5\/3 + d**2. Suppose r(t) = 0. Calculate t.\nAnswer: -2, -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(5) - (sqrt(605) + 1)) + (-5*sqrt(80) - (sqrt(500) - (-1 + sqrt(500))**2)).\nAnswer: -60*sqrt(5) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - (-4 + 2)) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*k**2 - 57*k**2 + 203*k**2 to the form p + u*k + l*k**2 and give l.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -30233?\nAnswer: 30235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 0 + -91 + 71?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.005 in 0.25, 2.05, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (361 - 47*p**3 - 361)*(2*p**2 + 3 - 3 - p + p - 4*p**2 + 0*p**2 - p**2 + 0*p**2 + (-4 + 5 - 3)*(-p**2 - 4*p + 4*p) - 2*p**2 + 7*p**2 - 3*p**2).\nAnswer: -47*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 544\/6153 + 2\/293. Let f(i) = i**2 + 2*i - 3. Let v be f(-2). Sort -1\/7, b, v in ascending order.\nAnswer: v, -1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggffff. Give prob of sequence fgfg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12044 (base 8) to base 10.\nAnswer: 5156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60\/29 + 656\/261. Let h(a) = -a**3 - a**2 + a - 3. Let k be h(0). Let z be (-2 - k)\/(0 - 2). What is the second biggest value in 0.1, z, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(2450))*-5)**2*-3*2 + -4.\nAnswer: -368518 - 27300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 2*y - 17 - 16. Put y, -21, 1, -3 in descending order.\nAnswer: y, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z - 13*z + 80*z + 13*z - z.\nAnswer: 53*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/18*5\/150*-9.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1521988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/280 + n**5\/60 - n**3\/3 + 4*n**2. Let s(t) be the first derivative of p(t). Find the second derivative of s(h) wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k + n - 1 = 35*k, -4*k + 16 = -2*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 17}. What is prob of sequence xvv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 + 2*i + 2. Let j(q) be the first derivative of -12*q**3 + 15*q**2\/2 + 15*q - 1. What is 2*j(w) - 15*k(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00182421469 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10824020 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 9, 3\/7, -4 in descending order.\nAnswer: 9, 3\/7, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 164*q - 9. Suppose -3*c = 5*r - 12, -4*r + 5*r = 0. Is a(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.6 (c) -5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*p**3 + 2*p**2 + 8*p + 3890 wrt p.\nAnswer: -48*p**2 + 4*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 10 = 10*n - 4*i, 0 = -3*n - 5*i + 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 34*n + 4. Let w be p(-4). Calculate the common denominator of (-2 + 1)\/(w\/(-90)) and 142\/36 + 2\/(-6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.51 from -6148.625.\nAnswer: -6130.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = -u + 17, n = -2*u + 33. Suppose -2*o - 1 = -u. What are the prime factors of (57\/12)\/(2\/o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725746496?\nAnswer: 2, 11, 1933, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:22 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 r, 1 x, and 1 n when four letters picked without replacement from xexexkreeermneeexmmn.\nAnswer: 128\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 0*g**2 + 0*g**2 + (3*g - 3*g + 3*g)*(-1 + 1 - g) + (2*g - 3*g + 2*g)*(-2*g - g + 12*g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11066415676 + -4?\nAnswer: -11066415702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367\/242 - -2\/121. Let h = -0.7 + 0.65. Let a = h + 2.05. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13394, -13386, -13378, -13370, -13362?\nAnswer: -13354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.47, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 - 426306*x + 45434201409 = 0. Calculate x.\nAnswer: 213153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 1, i: 2}. Give prob of sequence ximx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1318 - -1485. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 522 divided by 174\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30922 is divided by 493?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.109 + -1.309. Let b = 4 - 8. What is the biggest value in w, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 6. Suppose 2*m - m = p. Let v = -0.2 + 0.1. What is the nearest to 2\/7 in 0.2, m, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18487 is divided by 130?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.3 - -32. Let l = 35 - 35.7. Let i = v + l. Put i, -1\/3, 3 in increasing order.\nAnswer: -1\/3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239745357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1045 - -1048. Let z = 3 - 0. What is the derivative of -s*m**2 - 6 + z*m + 12 - 3*m wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*l**3*y - 15*j**2*y**2 + 337*j**2 + 4*j*l*y**2 - 13*j*l*y - 67*l**3*y**2 wrt y?\nAnswer: -30*j**2 + 8*j*l - 134*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 5*d + 2. Let r be t(3). What is the third derivative of 6*q**5 + q**2 - 5*q**5 - 7*q**2 + 2*q**r wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 + 304012*a + 69408984 = 0. Calculate a.\nAnswer: -75774, -229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-1 + 3)*(-1)\/4. Suppose 3*a + 2*a + 10 = i. Put a, 0, -1, 5 in descending order.\nAnswer: 5, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1518)\/12 - 6)*-132. Suppose 9*x = -6*x + a. List the prime factors of x.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/24 + 17*w**3\/6 - 8*w**2. Let x be p(14). Calculate the remainder when 79 is divided by x + (-4)\/(-12)*51.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 3*m, 4*r + 0*m = 3*m - 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n**2 - 8\/3*n**3 + 0*n - 38. Let c(q) = -q. Give o(c(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idndis. Give prob of picking 1 n and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3)\/6*1. Let d be (-7 + x)\/((-15)\/10). Suppose k - 17 = -3*r, -3*k + 0*r = d*r - 46. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let q be (2 - 2)\/(6\/3). Let j(n) = n**2 + n - 3. Let s be j(q). Let b be (1\/s)\/(3\/(-27)). What is x(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*w - 348*w - 9411 = 22509 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 64. Suppose -5 + v = p. Let h(r) = 2*r**3 + r**2 - 4. Let w(i) = 2*i**3 + i**2 - 5. Calculate p*h(d) - 2*w(d).\nAnswer: 2*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3608*i - 306*i**4 - 262 - 18*i**4 + 3608*i wrt i?\nAnswer: -1296*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*x + k, 2*x + 5*k = -x + 5. Solve 2*y + x*d + 3 = -d, 0 = 3*y + 2*d + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -259 - 15296?\nAnswer: -15555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5138 + 5128. Let m(c) = -6*c - 58. Calculate m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 252677 = 19*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218*k + 397*k + 440*k)*(-2 - 2 + 2)*(3 - 1 - 3).\nAnswer: 1238*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 42 + -8)*(-1)\/(-5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 452*b + 2*b**2 - 233 - 646*b + 37 = 0?\nAnswer: -1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 6*y + 7. Let i(h) = -4*h**2 + 12*h + 15. Let l(d) = 6*i(d) - 13*z(d). Let a(c) = 4*c**3 - 17*c**2 + 21*c - 1. Let s be a(2). What is l(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -55, -46, -35?\n\"Answer: u**2 + 4*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284563 is divided by 19172.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21494*u**5*w + 78*u**3 + 218837*u**2*w - 10*w wrt u.\nAnswer: -1289640*u**2*w + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2 - (-11 + 3 + -44 + 5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 116740*i**3 + 674253030*i**2 + 83566577900*i + 2562098736125.\nAnswer: 5*(i - 11735)**2*(i + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 37 - 37 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -102.66.\nAnswer: 513.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -36)\/(-9) + 233*1.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*t - 45 = 0, 2*t - 71 = -3*x + 12. Suppose 8*q = 3*q + x. Put -5, q, 3 in descending order.\nAnswer: q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-15))\/((-63)\/(-45)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10392 - 10389. Solve -v*f + 672 = 684 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*f**2 - 6534 - f**3 + 760*f**2 + 6534.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-3 + 70\/(-4)). Let w be j\/(-39) - (-9)\/(-3). Which is the nearest to 7? (a) -3 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, q: 1, j: 6, c: 6}. Give prob of sequence jggj.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 8 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/16 + ((-18)\/(-8) - 2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -47. Let o = 6 + 4. What is the remainder when k is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -153351, -1\/39, -1\/3?\nAnswer: -153351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-6) + 3)*1. Let g(f) be the third derivative of -23*f**2 + 3\/2*f**3 + 23\/12*f**4 + n*f + 0. Differentiate g(t) wrt t.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -154\/5 (c) -13 (d) -5\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -28*j + 255. Suppose -86 + 14 = -8*m. Let l be d(m). Solve 3*w + l = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*-20*(-9)\/72.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 123. Calculate o(26).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2 (c) -341 (d) 0.4 (e) -0.01 (f) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(3*x**2 - x**3 - 3*x**2)*(0*x + 4*x - 3*x).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7363*l + 58910. What is j(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516020329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 - -236. Suppose -2*j + 4 = 0, 34 = 5*h - 4*j - l. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14215994 is divided by 132.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -1757.374284\nAnswer: 1749.374284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12197700 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 18*c**2 - 16*c + 5. Determine u(19).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/20 + 5*o**4\/12 + o**3 - 9*o**2\/2 - 38*o. Calculate b(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -366 divided by -1\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-63)\/2184)\/(9\/180)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 34*v - 33. Let f be s(1). Let 0*k - k**2 - 1\/2*k**3 + f + k**4 + 1\/2*k**5 = 0. Calculate k.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 121 + 421. Suppose -2*u + 6*u - p = -4*w, 5*u = 5*w + 75. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a = 17*a + 68454. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z + 2*z - z + 2)*(-3*z**2 - 19*z + 19*z) as g*z**3 + t*z + s*z**2 + r and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 44*t**2 + 33*t. Let h(o) = o**2 + o. Determine 66*h(n) - 2*s(n).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*p + 53094 - 53037, -4*p = m - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -0.161507698129?\nAnswer: 0.161507698129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0\/q)**(-2\/63)*(q\/(q*q*q*q*q\/(q\/(q*q*(q**(-1)\/q)\/q))*q))**(-42) assuming q is positive.\nAnswer: q**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511301672 is divided by 459?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -348, -691, -1034?\n\"Answer: -343*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 3*x - 24*x + 10*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 464 and 1392?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j. Let w be (-1)\/(-3) + 15\/(-9). Which is the closest to 2\/5? (a) j (b) w (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from bbeeee.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-99)*3*(-9)\/5.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 429 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 459.7802cm to micrometers.\nAnswer: 4597802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120575, 120642, 120709, 120776?\nAnswer: 120843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 + 1. Let v be t(-1). Suppose 0 = 5*f - 13 - v. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 110. Let y be v(-36). Let j(s) = -3*s**2. Let b(o) = o**3 + o**2 - 1. Calculate y*b(r) - j(r).\nAnswer: 2*r**3 + 5*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(1\/2)*k*k)**27)**(2\/39)\/(k**(-1)\/k*k**(-2\/11)*k**2*k*k**(2\/19)) assuming k is positive.\nAnswer: k**(10658\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssnns. What is prob of sequence snsn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 45*g + 45. Give w(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 17 in ascending order.\nAnswer: -4, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/4 + 1740187*q**2\/2 - 580062*q.\nAnswer: -q*(q - 1160124)*(3*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kked when four letters picked without replacement from {e: 7, k: 3, d: 2}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 8329404*w - 74964879.\nAnswer: 3*(w - 9)*(w + 2776477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5708 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -59*h**2\/2 - 5*h - 15. Let d be u(1). What are the prime factors of (d\/4)\/4 - -245?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*y - 3. Let h be (-1 - -3) + y + 5. Solve -h*q + 3*d - 8 = d, 0 = 2*d + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101665 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 206365 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -18. Let t be 12\/(k\/3) + 0. Suppose q - 24 = -2*q. Solve -t*y + q*y = 2*c - 22, -5*c = y - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0.06, -1\/216, 146, 5, 3 in decreasing order.\nAnswer: 146, 42, 5, 3, 0.06, -1\/216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3724?\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 137*r**2 - 5 - 5 + 279*r**2 + 25*r.\nAnswer: 416*r**2 + 25*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 70, 168, 316, 520, 786, 1120, 1528?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25725163 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3916 + 4035. What is the remainder when 3803 is divided by n?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5402 + -1300. Suppose -85 = 13*m - p. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, i: 2, r: 3, f: 2, z: 2, k: 2}. What is prob of picking 1 r and 2 f?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) 475 (b) -73 (c) 4 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1022*d - 19628 = 13076 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 + 16*h**3 + 10*h**2 + 2*h**2.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + -1 - (537 + -556) - (0 + -6)) + 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89 + 6?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9292 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 6*s + 9. Let x be r(7). Suppose -5*n + x + 4 = 0. Let f be 3*n\/6*-1. What is the nearest to f in -2\/7, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/10 of a litre?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433694 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:25 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 10 = 0. Suppose h = 2*t - 22. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 1\/3, -0.4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3375952 divided by 3375952?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(9\/(-33)))\/(-1). Let z = s - 8. Suppose q - 3*g = 433, 5*g - 1339 = -z*q + 4*g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-250)\/55 - 37412\/(-4378). Let 7\/4*v**2 - 1 - 15\/8*v**3 - 9\/8*v**s + 3\/2*v = 0. Calculate v.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1907310 or -1907363?\nAnswer: -1907363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 + 508*g**4 - 395812*g**3 - 88893676*g**2 - 4618954944*g - 70337490480 = 0. Calculate g.\nAnswer: -207, -34, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 566 - 520. Let j be 16\/24 + 32\/6. Let f(q) = -q**3 + 5*q**2 + 7*q. Calculate the remainder when z is divided by f(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2162 divide 5437020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*o + 428*o + 326200 = 855*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let j(t) = 3*t + 2. Let p(o) = 7*d(o) + 4*j(o). Let m(z) = -4*z - 7. Calculate -3*m(l) - 2*p(l).\nAnswer: 2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = -10. Solve 2*x + 3*u = -x + 24, x - 2*u = -q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300 + 3323022310?\nAnswer: 3323030210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84840 and 5126255.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 4, h: 2, v: 2, a: 1}. Give prob of picking 1 a and 1 f.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m. Let p(t) be the third derivative of 3*t**5\/5 - t**4\/4 - 40*t**2 + 25*t. Determine x(p(c)).\nAnswer: -144*c**2 + 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35462563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {v: 1, e: 2, d: 1, t: 7, q: 2, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-2*sqrt(891) + -1*sqrt(891)*1)*-6 + -4)**2 + 3)*-2.\nAnswer: -5196350 - 7776*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/3 + 80180*m**2 - 160359*m + 240538\/3 = 0. What is m?\nAnswer: 1, 240538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 166*f**2 + 1694*f - 27. Determine j(-11).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553794052?\nAnswer: 2, 7, 41, 482399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 9*i**2 - 3*i - 13. Let h be k(-9). What are the prime factors of 2 + (-7)\/(h\/(-66))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 2, m: 14}. Give prob of sequence wmss.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:11 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2938 and 452.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.2 + -7.9. Which is the nearest to h? (a) 4 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12782, 51089, 114922, 204281, 319166?\nAnswer: 459577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1124 - -1134. Solve -2*t = 7*k - 3*k - 14, -l = -2*t - 2*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4345 + 4345.2. Which is the third biggest value? (a) -6 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 + 12323356*i - 12323360 = 0. Calculate i.\nAnswer: -3080840, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 - 31*q + 25. Let f be j(7). Solve 0 = 2*g - g + 3*s - 16, 0 = -f*g - 2*s + 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1640 - 9985\/6. Calculate the common denominator of p and 1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 u when four letters picked without replacement from {a: 6, u: 3, j: 4}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h**2 + 17. Let f be z(0). Let j(b) = -b**3 + 5*b**2 - 4*b - 1. Let t be j(2). Suppose t*d = f - 2. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3483 - -3486. Let u(y) = 2*y**2 - 31*y + 20. Let s be u(15). Sort s, p, 4 in descending order.\nAnswer: s, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 257, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 + 2 = 0. What is the second derivative of u*h + 4*h**3 - 5*h + 0*h + 0*h wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 - 4*t - 1. What are the prime factors of q(-4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - o + 3. Suppose -y = y. Let s be h(y). Calculate the highest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r + 354 = -60*r. Let n = 175 + r. Let u = 5 + -4.9. What is the second smallest value in 0.3, u, 1, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85769\/64 - -1340. What is the common denominator of 31\/10 and k?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14561506.21 + 1086?\nAnswer: -14560420.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 5 (c) 4 (d) -0.11 (e) 3014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*o**4 - 96*o**2 - 2*o - 1 + 96*o**2 wrt o.\nAnswer: 504*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 7*t - 2*t - 30, 15 = x + 5*t. Suppose x*k + 46 = -d + 3*d, -2*d - 2*k + 18 = 0. What is the greatest common factor of 104 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(405) + -1))**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 3.3. Let s = q + -1. Let z be (-46)\/4*636\/(-2438). Sort s, -2, 3\/7, z in increasing order.\nAnswer: s, -2, 3\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17726111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:11 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 times -2486?\nAnswer: -139216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1000.651 + -1000.6. Put d, 3, 0.2, 0.5, -1\/8 in descending order.\nAnswer: 3, 0.5, 0.2, d, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716989570?\nAnswer: 2, 5, 11, 277, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*l - 420*l + 27018 = -958*l - 37457 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1719622 and 21963.\nAnswer: -1697659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-6) - 2\/(-6). Let f = k - -7. Let l = -235 + 242. Solve -f*h = 8 + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggjujhjju. Give prob of picking 1 h and 1 u.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 6. Let g = -14 + i. Let l = -192 - -1724\/9. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) 1\/9 (c) 0.9612\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151031029511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.08 or 0.0721?\nAnswer: 0.0721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*z - h - h, -z - 2*h - 6 = 0. Let x be -2*(2\/z + -2). Is x + -3 + (-1 - -33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7*o**2 + 2)*(-3 + 3 - 2*o**2) as z*o**4 + h + y*o + t*o**3 + g*o**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960732 and 23940?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + 2. Let y be 18\/4*(8\/(-3) - -4). Let q be (-4 + y + 11)*1. Let x(s) = 3 - 19*s + 6*s + q*s + 6*s. What is 8*m(t) - 5*x(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 332000. Suppose -c = -0*b - b. What is b rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 6*m**2 + 9*m - 11. Determine t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 + 40\/12 + -3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/9 - 4003966*q + 72071396\/9 = 0.\nAnswer: -18017849, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-15)*56\/((-280)\/(-20)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2897 + 2894. Let g be (-2)\/(14\/18 - 1). Sort x, -2, g.\nAnswer: x, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -719 + 5470. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577328 is divided by 9463.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*b - 12 = 6*b, -4*b = -2*w + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-870)\/15)\/29)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (8 + (10 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2 + 5*w - 28. Suppose 2*o + 0*k + 5*k = -4, 4*o - 8 = -2*k. Calculate v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 1.1. Let y = s - -3.5. What is y rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12534539.99964747 + 12534532.07. Let q = a + -0.17053353. Let v = -8.1 - q. What is v rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, d: 5, n: 1, t: 4, f: 1}. Give prob of picking 3 d and 1 n.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/14)\/(246\/(-287)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -12, -156*w + 72*a = -153*w - 294 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -7. Let x = t + 5. Let o be (-36)\/1287 - (-4)\/22. Is x bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 26, 47, 78, 119, 170?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16579.61026 plus 1?\nAnswer: 16580.61026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39342112 times 0.2?\nAnswer: 7868422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182.3 - 182. Which is the third biggest value? (a) y (b) 0 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 10 - 4. Suppose -u*h = 2*h - 20. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -9. Let m = 3.9 + u. Let s = 12 - 12.1. Which is the closest to s? (a) m (b) -1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5014113375 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 29, 203, -1\/15, 3\/2, -2\/9?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 107, 247, 387?\n\"Answer: 140*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22108343, 44216689, 66325035, 88433381, 110541727, 132650073?\nAnswer: 154758419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l*l\/((l*l\/((l\/(l\/(l\/((l**(-1)*l)\/l)*l)*l*l))\/l))\/l))*l)\/l)**(2\/13)\/((l*l**2)\/l*l)**12 assuming l is positive.\nAnswer: l**(-466\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*o - 414 - 3827 = 322*o + 2458 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 8*r - 9. Let o = -259 + 264. Calculate s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 220204*q**2 - 53678.\nAnswer: 440408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(sqrt(2) - sqrt(2)*-2)*-4*6)\/(sqrt(44)\/(2*sqrt(4)) - 4*-3*sqrt(11)))**2*-6.\nAnswer: -3072\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -49. Let d(l) = -l**2 - 15*l + 12. What is the remainder when g is divided by d(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 19.73. Let f = 306 - 305. Is q at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3000*p. Let j(s) = -s + 10. Let u be j(6). Let b be 3\/(1 - 10\/u). Let n be y(b). What is n rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 - 4*g**2 - 4*g**2)*(-29 + 16 - 2*g**3 + 21 + 2*g).\nAnswer: 4*g**5 - 4*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8215058 is divided by 12836.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -21 + 49*x + 39 - 23 - 44*x. Calculate m(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23312, 23325, 23338, 23351, 23364?\nAnswer: 23377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**(-6\/11))\/(r**1*r**(4\/7)) assuming r is positive.\nAnswer: r**(-317\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 6. Let n be l(4). Let v = 5 - n. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 18*l**2 - 38*l + 14. Let y(f) = 13*f**2 - 26*f + 10. Let s(z) = 5*v(z) - 7*y(z). Factor s(u).\nAnswer: -u*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -7. Let q be 2 + 0 + (-16)\/j. Let y(h) = 0 + q - 1 + 2*h - 5. Calculate y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.28422, -1\/3, -0.4?\nAnswer: -0.28422","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -107*a + 113*a + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-14) - (-20202)\/147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167127 is divided by 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (3 + (-4*(sqrt(7056) - 2*sqrt(7056) - sqrt(7056)) + sqrt(7056))\/((sqrt(490)\/(sqrt(50)\/sqrt(5)))\/sqrt(7)))**2.\nAnswer: 648*sqrt(7) + 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**2 + 475 - 475.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1. Let s(k) = k - 1. Let i(a) = a**2 - 2*a - 1. Let c be i(0). Give c*s(v) + 2*o(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 43*z + 88*z - 202 = 47*z, -2*o + 4*z = 76 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*f + 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**3 - 17*w**2 + 7*w + 1. Let i(q) = 7*q**3 - 16*q**2 + 8*q + 2. Let p(b) = 6*i(b) - 5*z(b). List the prime factors of p(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3716 - 1122. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -1291*w**6\/120 - 113*w**5\/10 + w**4\/12 + 3493*w**2. What is the third derivative of p(s) wrt s?\nAnswer: -7746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxrx. Give prob of sequence rxr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 + 7*n + 8. Let b(u) = u**2 - 2*u - 2. Let q(l) = -9*b(l) - 2*g(l). Let t be -8 - -1 - (2 - 5). What is the units digit of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 22 = -a - 2*c, -2*a - c + 16 = 0. What is the greatest common divisor of a and 1194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**7\/14 - 3*b**6\/4 + 3*b**5\/8 + 15*b**4\/8 - 7*b**3\/4 - 10*b + 16. Suppose o(n) = 0. What is n?\nAnswer: -1, 0, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-11)\/528*-33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, 5, -10, -2 in descending order.\nAnswer: 5, 2, -2, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 2*j = -17*j + 1036 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*l + 4*l = -6, -187*y + l = -183*y + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 - (-3 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 1\/6, 0, 3\/14 in decreasing order.\nAnswer: 3\/14, 1\/6, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12374735 by -6.\nAnswer: -12374735\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 6*h - 14. Let g be (-98)\/(-28)*72\/h. What is the greatest common factor of 63 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/2)\/5*6. Let n be 3*(-3)\/c - -45. Suppose 2*l + 19 = w, 4*l + 18 = -4*w + n. What is w rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137912*t**4 - 138957?\nAnswer: 551648*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 19 - 93. What is the highest common factor of 28 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5250122 (base 6) to base 3\nAnswer: -110222021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5, 11*l - a + 13 = 14*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**4\/8 - 17*k**3\/6 + k**2. Let d be a(7). Let i(w) = -w**3 + 5*w**2 + w + 1. Let n be i(5). Solve -n*g = -2*g + d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1679 * -34.21.\nAnswer: -5.743859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 448812 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2407, 9231, 20613, 36559, 57075, 82167, 111841, 146103?\n\"Answer: v**3 + 2273*v**2 - 2*v + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8)\/(18 + (-1435)\/80). Let b(r) = r + 1. Let u be b(1). Solve 3*p + 3*a = 15, -8*p - u*a = -l*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m + 11. Let a be n(9). Suppose a*o - 7*p + 67 = -2*p, 0 = -5*o - 4*p - 85. Let k be o\/14*8\/(-6). Put 3, k, 1 in decreasing order.\nAnswer: 3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 73. Let n(w) = w**3 - 4*w**2 + 2. Let p be n(4). Suppose -p*f + 8 + 6 = 0. Is b bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*u**2*x**2 - 2*l*u**2 - 10*l*u*x**2 + l*u*x - 2*l + 58*u**2*x + 7*u*x**2 wrt x.\nAnswer: 2*l*u**2 - 20*l*u + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u + 5 = 59. Suppose 20 = -4*g + 8*g. Suppose 3\/2*a + 9\/2*a**g - 3*a**4 + 3*a**2 + 0 - 6*a**u = 0. Calculate a.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4686633, 4686634, 4686635?\nAnswer: 4686636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/4 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*v = 210*v + 52*v - 736. Solve -2*t - 2*l = -10, 14 = v*t - 3*l + 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5193 (base 10) to base 3.\nAnswer: -21010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 270 = -2*w, -3*w + 13 = -l - 41. Let m = l + 99. Calculate the remainder when 133 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1220, 4\/13, -1\/20, -1\/4, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)\/m**19*m**18*m*m\/(m\/(m*m*m**(-12\/5))) assuming m is positive.\nAnswer: m**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 5 - 2) + 2. Let f(q) = 5*q - 3. Let c be f(k). Let z = -23 - c. What is the third smallest value in z, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*z**2 + 0)*(3*z - 3*z + z)*(1 + 7 - 1) to x + j*z**3 + h*z**2 + p*z and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/3 - 3)\/((-198)\/9). Sort -3\/2, n, -34, -0.2 in increasing order.\nAnswer: -34, -3\/2, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 + 7 = 0. Let p(v) = -1 + v**i - 4*v - 1 + 3. What is the units digit of p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*w, 3*w = -5*c - w - 1. Suppose c*h - h = -4, 0 = q + 4*h - 18. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57285?\nAnswer: 3, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 2*m + 6. Let g be 6 + -1 - (-2 - -2). Let n(u) = -u**2 + 2*u - 7. Let l(i) = 7*i**3 - i**2 + i - 1. Let o be l(1). What is g*n(r) + o*v(r)?\nAnswer: r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 165*d - 1. Let v be o(1). Suppose -2*q + 72 = -m, -3*q - m - 61 = -v. Suppose w - 14 = a + 2*a, q = 3*w - 2*a. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9363710 is divided by 256.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163398290611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 497*o - 7 + 17.\nAnswer: -497*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-50)\/(-138))*77\/(462\/(-5))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:11 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 175052045 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + 2*s**2 - 3. Let r(f) = -f**3 + f**2 + 1. Calculate n(k) - 2*r(k).\nAnswer: -3*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 13*u**2 - 14*u + 3. Let a be n(14). Let r = a - -13. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463 + 395 + 68 + 13*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 1690437.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u - 3. Put u, 2, 3, 2\/3 in increasing order.\nAnswer: u, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 47*s - 5641. Let o be w(125). Let v(h) = -9*h. Let u be v(-2). What is the greatest common factor of u and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30755286.09136 and 4.\nAnswer: -30755282.09136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/56 and -59\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 116\/14 + (-4)\/14. List the prime factors of (u\/(-12))\/(2\/(-57)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 100200011121200?\nAnswer: 100200011121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 44503*z\/2 + 1980517009\/4.\nAnswer: (z + 44503)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-12 - 4) - 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (0 - -6 - 2). Is 3 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119.4 - 119. Let w = -0.05 + 0.35. Let r = w + -0.2. Which is the closest to r? (a) i (b) 2\/21 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + ((-20295)\/20)\/(-11). Let l = q - 26. Let n = -16 + l. Calculate the remainder when n is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51 and 2.5.\nAnswer: -48.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8163 + 8185. Let z be (-3 + (-28)\/(-4))\/2. What is the remainder when (z\/4)\/(3\/246) is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**2 - 453 + 541*v**6 + 358*v**6 + 2035 wrt v.\nAnswer: 107880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8146*u + 8211*u - 13780. Calculate the remainder when 2961 is divided by u.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34540 from 77.\nAnswer: -34463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4020*b + 4064*b - 5 - 39 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 2, v: 1}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in 5, -2\/3, -5\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 14*l**2 + l**3 - 12 - 10*l + 6*l**2. Determine y(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Suppose -5*q + 24 = 2*t - 0*q, 11 = 3*t - 5*q. Let r(s) = t*s - 4*s - s - s. Give b(r(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*j - 59, -2*z + 34 = 4*j + 8. Calculate the greatest common divisor of z and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 11 + 3. Let z be -2 + 6 + 1 - 0. Suppose -z*s = -w - 12. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5.3. Let l = -1.3 - -1. What is the second biggest value in f, 5\/2, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22 - 6 = -3*f, -2*f + 27 = 5*b. What is the remainder when (b - 24)*(0 + -1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 60. Give j(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (595\/(-9))\/(-17) + 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v. Suppose v*l - 81 = -3*l. Suppose 3*j + l = 3*u, 0 = -u + 4*j + 12. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(280) - sqrt(280))*-5)\/(sqrt(360)*-1))\/(((sqrt(192)*3 - sqrt(192))\/sqrt(4))\/(-2*sqrt(48))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 0*n + 0*n)*(3*n**3 - 7*n**3 - 6*n**3) + n**4 + 3*n**4 - 2*n**4 in the form z + b*n**3 + m*n + u*n**2 + t*n**4 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 4*x**3 + 0*x**3 + (2*x + x - 5*x)*(-4*x - x**2 + 4*x))*(-77*x - 28*x**2 + 77*x).\nAnswer: -84*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 times 24.168674\nAnswer: 5.80048176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-54)*((-37728)\/128)\/(-131)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 2. Give s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:14 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-680)\/17*-6*6\/45.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(58 - 96 - 145 - k)*(-3 - 2 + 6)*(-4 + 0 + 2)*(0 + 2 - 3).\nAnswer: -6*k - 1098","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 145 - 5*x**2 + 67)*(-3*x**3 + 4*x**3 - 14*x**3).\nAnswer: 65*x**5 + 468*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27221, 26700, 26179, 25658?\n\"Answer: -521*q + 27742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o. Let x(f) = -214*f + 3789. Calculate m(x(g)).\nAnswer: 428*g - 7578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 448309, 896606, 1344895, 1793176, 2241449?\n\"Answer: -4*y**2 + 448309*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 385*f + 21181. Give k(319).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 44, 50?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (8 + -4 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13035941.\nAnswer: 131, 191, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m - 3 + 5*m - 2*m - 5*m. Let q(z) = 7*z - 2. Calculate 3*p(o) - 5*q(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3731 + 3221. What are the prime factors of y?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 2\/13, 425, 4.3, 4?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01785 - -0.11785. What is the third biggest value in 5, y, 0.019, -2?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 37*b + 420 = 33*b. Solve -3*c + d = -b, -5*c + 7*c = -4*d - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/1517463 at most -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1370.2 + -1370. Sort b, 3, 0.5, 19 in increasing order.\nAnswer: b, 0.5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, -8, -45, -2278.\nAnswer: -2278, -45, -8, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 8, 1108, -69?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 356469.35 + -356469. Suppose 0 = 3*x - f - 8, -3*x - 4*f - 7 = -2*f. What is the closest to x in -1, -1\/6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5974891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 17, 106, 0, -4.\nAnswer: -5, -4, 0, 2, 17, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1220*c**2 + 108*c + 108. What is the hundreds digit of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/(-493) - 64\/(-34). Suppose -2\/5*n**3 + 4\/5*n + 0 + 2\/5*n**r = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 16*i**3 - i**2 + 6*i - 5. What is the smallest common multiple of j(1) and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7*j - 5. Let y = -244 - -251. Let b(f) = -6*f - 6. Give y*p(s) - 6*b(s).\nAnswer: -13*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000000010001 - -101001101?\nAnswer: -1100111011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*q + 5, 3*m + 20 = -2*q + q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163922802 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -24612.298 to the nearest ten.\nAnswer: -24610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/393428 and -33\/350.\nAnswer: 9835700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.27 - 1.2699894. Round d to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029927 rounded to six dps?\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 35 = 5*b + 7*u, 5*b + 2*u = 20. Suppose -3*i + 1 + 8 = 0. Suppose -4*o = -i*o - 3. Solve o*d = 5*y - 22, b*d - 3*y + 11 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.3. Let f = -1819 - -1805. Are t and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 51*u**2 + u + 1. Let i be c(-1). Let d = i + -30. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 - 106 - 88 + 810*a - 134*a to n + t*a and give t.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4218090, 4218543, 4218998, 4219455, 4219914, 4220375?\n\"Answer: y**2 + 450*y + 4217639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 - (38 + -89) - (22 + -7).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -2 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 48*a**2 + 49*a + 1187. Calculate o(-49).\nAnswer: 1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108056.202 rounded to the nearest 1000?\nAnswer: -1108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 6*c**3 - 21*c**3.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - 333 = 4*u, -2*u - 161 = -3*f. Let z = 70 + u. Let g(q) = 4*q + 4. Let a be g(-4). Is z at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/88*28\/5*30\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 38.478?\nAnswer: 15.3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-24)\/32)\/((-8)\/2592) is divided by 128?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 3825. What is the tens digit of q\/(-25) - (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and (-19)\/(19\/36)*8\/(-6)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 4, j: 1, u: 1}. What is prob of picking 1 l, 1 w, and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4\/3 - 16020*w**3 - 46788092*w**2 + 24165609148*w\/3 - 8008398936 = 0. What is w?\nAnswer: -6089, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -9. Let b(t) = 12*t - 5. Let w be b(q). Let n = w - 46. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105009.1 tonnes to grams.\nAnswer: 105009100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + w - 7, 3*w + 8 = -1. What are the prime factors of 94\/6 - x\/15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/270194?\nAnswer: 3\/270194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*g*s*v**2 + 275*b*g*s*v - 7*b*g*v - 13*b*s*v**2 - 12*b*s - 2*v**2 wrt g.\nAnswer: b*s*v**2 + 275*b*s*v - 7*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1471, 5678, 12683, 22480, 35063?\n\"Answer: -r**3 + 1405*r**2 - r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 404, 427, 450?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1144.8 and -6.\nAnswer: -6868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n = 796*n - 1717 - 722 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24377087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1 + (-14)\/(-6)). Let v be ((-16 - -6)\/(-2) + -5)\/1. Solve v*b - q = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**2 - 19*t - 15. Let q(y) = -y**2 + 3*y - 1. What is -f(x) - 6*q(x)?\nAnswer: -4*x**2 + x + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -729, -1111?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2536 and 1.77.\nAnswer: 4488.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3614 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1043658 divided by -15813\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 61276312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1896\/2347 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753190 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 1, t: 1, s: 1, r: 1}. Give prob of picking 1 s, 1 i, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g + 5 - 7 + 3 - 3 - 27*g**2 + 11. Let b(h) = 13*h**2 + 4*h - 4. Calculate -9*b(i) - 4*c(i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 197 divided by -951\nAnswer: -197\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 28*f + 428. Is 16 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/52 + ((-10448)\/13)\/(-2). Let h = d - 345. Which is smaller: 55 or h?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 32 - 23. Factor 2 - 2 + 605*y**4 - 32*y - 200*y**2 + 52*y + 385*y**d.\nAnswer: 5*y*(y + 1)*(11*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o - 0. Let n = 7 + o. Let x = -5 + n. Solve 0*u - 4*u - 12 = x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 261\/440 + -12\/55. Let d = -0.2 - -1.2. Let q = -343 + 342.7. Sort -2, t, d, q in increasing order.\nAnswer: -2, q, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 3*l - l)*(-l - 5*l**2 + l + (-2*l + l - l)*(0*l + 0*l - l)) to z*l**2 + g*l**3 + i*l + v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + (-20)\/(-30). Let g(z) = -z - 1. Let q(m) = 7*m + 6. Give v*q(a) + 6*g(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2945634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6393, 6384, 6361, 6318, 6249, 6148, 6009?\n\"Answer: -r**3 - r**2 + r + 6394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329.27 - -10.08. Round j to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 4}. What is prob of picking 2 s and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 55029 + -27630. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-78) + ((-590)\/48 - 7\/(-56)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 23. Solve n = -a - 2, -a - v*n - 5 + 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -41590801\nAnswer: 4\/41590801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5032 (base 6) to base 8\nAnswer: -2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 0. Let n(y) = -y**3 - 3*y**2 - 4*y - 2. What is the units digit of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d = -4*a - 14, 0 = -4*d - 3*a - 82. Calculate the common denominator of d and -101\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 - 12*t**2 - 14*t**2.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 7*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) + sqrt(576)*-2 + sqrt(576))*6 + 2*1*sqrt(576))\/((sqrt(432)\/(sqrt(12) + sqrt(24)\/sqrt(2)))\/(sqrt(132)\/(sqrt(11) + sqrt(22)\/sqrt(2)))).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1896 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1995 divided by 5.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q**3 - 23*q**3 + 2*q - 3*q + q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 25, 23, 21, 19?\n\"Answer: -2*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*y + 2*r, 0*y + 3*r = y + 9. Let h be (-52)\/(-69) + 2\/y. Which is the third biggest value? (a) 0 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 27*s - 200. Calculate the remainder when j(11) is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.271014151 to four dps.\nAnswer: -1.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18705 + 0.01295. What is the second smallest value in 126, c, 0.04?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 94.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321 + -318. Suppose h*p - 4*c = -p + 64636, -p - 3*c = -16175. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 5*c = 10, 218*c - 223*c + 45 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*o - 133*o - 78618452*o**3 + 78618449*o**3 - 15.\nAnswer: -3*o**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/45934 or 1?\nAnswer: -3\/45934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6*(-49)\/42)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -181 not equal to -182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 55311*y + 110624.\nAnswer: -(y - 2)*(y + 110624)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from pppyyypppp?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(539) + -1*sqrt(539)*2 + sqrt(539) + ((3 + -2*sqrt(539))*6)**2)*2.\nAnswer: -6048*sqrt(11) + 155878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(2\/5))\/i)**(12\/7)\/((((i\/i**(-2\/11))\/i)\/i)\/i*i*i**(-3))*i**(-2\/19)*i*i\/(i\/i**5)*i*(i**(-1\/4)\/i)**(-2\/17) assuming i is positive.\nAnswer: i**(471127\/35530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 44. Let b(s) = 1. What is 6*b(l) + r(l)?\nAnswer: l + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 595, 1195, 1783, 2353, 2899, 3415, 3895?\nAnswer: 4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 288 + -2?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n - 20. Let c be q(-2). Let d(t) = -9*t - 1. Let k be d(-8). Suppose -4*i - 23 + k = c. Let o(g) = -g**2 + 13*g - 17. Determine o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2. Let b be g(1). What is the common denominator of (-6)\/18*(-213)\/22 and 2\/(b - 130\/61)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/759 and 53\/660.\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*p**3 + 58*p**3 - 25*p**4 - 22*p**3 - 20*p**3 + 178*p**2 + 29*p**4 as r*p**2 + k + q*p + o*p**3 + c*p**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h + 3. Suppose h*s = -5*g + g, -s + 6 = -g. Solve s*k = -3, 2*i + k + 21 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.13 times 7.2?\nAnswer: 202.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*(1 - 0))\/1. Let w = 27 + j. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136757, 136503, 136247, 135989?\nAnswer: 135729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24255 and 2520?\nAnswer: 194040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + y + 212. List the prime factors of k(0).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-10))\/(-42*(-162)\/315))\/(5\/(-15))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -25. Let s be (-2 + x + -2)*81. Suppose 0*y = 3*y - s. Calculate the highest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2152451 and 269392.\nAnswer: 2421843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Suppose u*z + 1 - 17 = 4*v, 4*v + 6 = -3*z. What is the remainder when ((-690)\/20)\/(v\/4) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29963 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -3*a - 2*u, -2*a - 3*u + 15 = 0. Is 20 a factor of a\/5 + 487\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1641 from 0.0922.\nAnswer: -0.0719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(-1)*5112\/(-1491)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 6272.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = -3*q + 669, -3*n = 5*q - 673. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594353 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: Let i = 105 + -737\/7. Let k = 41 - 41.1. What is the nearest to k in 4, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1544 + 14?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -9503920?\nAnswer: 9503915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c + 3 + 2*c - 5.\nAnswer: 31*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2. Let p be c(0). Let n(u) = 13 - 13*u - 2 - 26 + 8 + 9. Give n(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/5)*q)\/q*q**(1\/4))**(-5\/11) assuming q is positive.\nAnswer: q**(-29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**2. Let h(y) = 4484*y**2 - 160. Calculate h(i(u)).\nAnswer: 645696*u**4 - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, g: 2, z: 4, a: 1}. What is prob of sequence zzzu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42139 (base 11) to base 7\nAnswer: -343656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7 + 3 - 15219*g + 2 + 15087*g.\nAnswer: -132*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124.75 + 123. Let m = -0.95 - z. Is -4\/3 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3956, -16781, -38158, -68087, -106568?\nAnswer: -153601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Suppose 4*r - 1 = -5*s + 31, -2*r + 5*s = -16. Calculate the least common multiple of k(-4) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-4 + 92\/24). What is the second smallest value in d, -4.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (63 + -70 + 54)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0257*1582.39\nAnswer: 40.667423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**3\/6 - 4*c**2 + 2*c. Let n = -41 + 47. Let h be v(n). Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -559 + 966. Let m(u) = -5*u**3 - 5*u**2 + u - 2. Let k be m(-4). Let y = f - k. What are the prime factors of y?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 36 = -6*c. Let g(l) = -l**2 + 23*l - 38. Let v be g(21). Solve -v*q = -q + c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*f = -45, 0 = -f - 3*f. Let x be (k\/(-6))\/(9\/(-12)) - 3. Let a(s) = -23*s - 1. What is the tens digit of a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3990 divided by -6.\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -0.4, 1.51?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*k - 262, -5*u = 4*k - 2*k - 246. Suppose -3*s + 9 = -12. Calculate the greatest common divisor of s and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -109.38, -0.5, 1\/12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = -2*r + j, -3*r + 18 = -4*j. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 + 28*y - 11. Calculate r(11).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -657279122 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6766\/9 (b) -2 (c) -3\/4 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 138402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -58 - (8 + -1 + 7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 38 = 3*k. Let c(z) = -64*z - 18. Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let s(z) be the first derivative of 452*z**2 - 1455. Determine o(s(h)).\nAnswer: -904*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -1\/30*l**6 - 4 + 1\/20*l**4 + 0*l**2 + 0*l + 0*l**3 + 0*l**5. Factor u(n).\nAnswer: -n**3*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/(-3) + 5 - (0 - 3). Let z(h) = -h**2 - 8*h - 8. Let l be z(-6). Let j = -1.4 - 0.6. Which is the closest to -0.1? (a) t (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*f - 18, -d = 5*f - 17 + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*q - 79674 = -21446, 3*i = 3*q + 174660. What is the ten thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-66)\/24*4\/8. Which is the nearest to -0.1? (a) -1\/3 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/35 and ((-1)\/14)\/((-8976)\/(-996) - 9)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 26672372*i - 88926928513298.\nAnswer: -2*(i - 6668093)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2227491251 + -5.\nAnswer: -5.2227491251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 67*t. Let q(n) = -n - 1. Let j(i) = 1. Let k(f) = -j(f) - q(f). What is k(g(v))?\nAnswer: 3*v**2 - 67*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445907107.\nAnswer: 3709, 120223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*v - 9. Calculate the least common multiple of 38 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 - 218. Solve 5*m = x*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1855982 and 273877?\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-11 - (-35 - -10 - -12)) - 36?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1 = -2*d + 9, -5*d = 2*p - 19. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 706*u**2 + 298*u**2 - 306*u**2 - 127 - 8*u**3.\nAnswer: -8*u**3 + 698*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -4, -1, 0.5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 17*i**5\/60 + i**3\/6 - 12*i**2. Calculate the least common multiple of t(1) and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 664?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + p**2 - 2*p + 1. Let u(r) = -2*r - 22. Let k be u(-14). Let o(z) = 2*z - 9. Calculate the remainder when t(1) is divided by o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4765322?\nAnswer: 2, 1307, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102184 divided by -964.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(425) - sqrt(425)) + -1 + 3)**2*-3.\nAnswer: -5208 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231258756, -231258755, -231258754, -231258753, -231258752?\nAnswer: -231258751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) -4 (d) 17 (e) -1\/3 (f) -696 (g) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905 a factor of 1263989070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935229 to the power of 1\/2, to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*w + 956 = -28*w - 578 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 58*m**2 - 194*m + 102. Let b be n(-60). What is the highest common divisor of b and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3 = v, 461*v - 466*v + 137 = -28*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -3, 5, 0.03, 0.3, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2296 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*a + 3*a. Suppose 2*i = -0*i - 4*l + 86, 0 = -a*i - 3*l + 120. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 165604386, 165604394, 165604416, 165604458, 165604526, 165604626, 165604764?\n\"Answer: p**3 + p**2 - 2*p + 165604386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 j when four letters picked without replacement from ghjhhhjjjhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g + 7 + 42*g - 13 - 11*g + 4.\nAnswer: 12*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 6*p**2 + 1104*p**3 + 0*p**2 - 559*p**3 - 547*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 247 * -0.1729.\nAnswer: -42.7063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 752464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*u + 4*c, 5*c - c + 6 = -2*u. Let l be (-60)\/80*((-22)\/(-72))\/11. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:10 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-44)\/(-20) - -1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8 - 2*r + 4 + 3*r. Let u be w(2). Does 5 divide (2\/3)\/(u\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.74736 centuries in decades?\nAnswer: 327.4736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4769 and 2126.\nAnswer: 10138894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**2 - 7*c - 17. Suppose -3*d = 4*u - 5*d + 4, -u + 4*d = 15. Let x be 150\/15 - (u + 1). Is f(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2172194535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 558 - 377. Calculate the remainder when f is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 3\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2228*j - 62906 + 122103 = -123499 for j.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h. Let b(i) = -i - 101. Determine b(q(d)).\nAnswer: -14*d - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1 + 1 + 18 + -8. Suppose 9*c - u*c + 1719 = 0. Suppose 9*g - c + 186 = 0. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-3)*(20\/5)\/(72\/234*-13).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 17\/6, 3, -8.08, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)\/i*((i\/(i*i**(2\/19)\/i*i)*i*i)\/i)\/i*i)\/(i*i\/(i\/i**(-3\/5))*i\/i**(1\/4)) assuming i is positive.\nAnswer: i**(-1997\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -4, -3.\nAnswer: -89, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 50*t + 174. Give k(-5).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -633230231?\nAnswer: 633230234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1552 and 80?\nAnswer: 7760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 28*x - 13*x - 12. Suppose 0 = 2*d + z - 422, -d + 2*z + 3*z = -222. Calculate the lowest common multiple of x and d.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27) + (sqrt(27) - sqrt(108)) + sqrt(27))*-6 + sqrt(27)*-2*-1)\/((sqrt(81) - sqrt(81)*2)\/sqrt(9)*5))**2.\nAnswer: 48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 19*p + 26. Let s be t(-12). Let h = s + -249. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 + -0.8087\nAnswer: -101.8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 102 + (-36 - -18) - (1 + 0 - 8).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 70 = -22*p + 6*x, 4*x = 5*p - 42 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 56, -5\/4 in descending order.\nAnswer: 56, 5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41003818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/21 + 2734*z**3\/21 + 61910*z**2\/21 + 5506*z + 2688 = 0.\nAnswer: -1344, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/6*-13 + 1\/12*-2. What is the second biggest value in 0.5, 0.06, a, 12\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j**2 - 11 + 11)*(j + 0*j - 4*j).\nAnswer: -39*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 65*x - 295. Calculate t(15).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-73)\/5)\/((-2)\/20). Let y = -145 + g. Sort y, -10, 4.\nAnswer: -10, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10182 - 10174. Suppose -5*v + l = -15, 4*l - l - 23 = -2*v. Calculate the least common multiple of v and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 - 77. Let c = b + -143. What is the tens digit of 7\/(-28) + c\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24)\/(2\/(-6))*(-90)\/5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*y**2 - 269*y**2 - 124*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 4 + 13 + -11. Suppose h = u*h + 10, 4*f = 4*h - 120. Let r = 113 + f. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d - 3*v = -35*d - 131, 0 = 4*d + v - 257. What is the remainder when d is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 20 = 4*q. Let m = q - -10. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.84 - 0.16. Suppose -27*f = -13*f - 28. What is the third smallest value in f, 1\/5, x, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxdxxxvddmxmxxmyam. Give prob of picking 1 a and 2 m.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/10 - 25*k**4\/4 + 67*k**2\/2 + 91*k. Differentiate n(m) with respect to m.\nAnswer: -6*m**2 - 150*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6 = -2*x + 26, -143*g = -140*g + 6 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -691*p - 5448*p + 370*p in the form q*p + x and give q.\nAnswer: -5769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11315141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 0 = -m - 1, -j + 5 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:28 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + (-6 + 5 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -12452490 and -12452492 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 104 - 2301683544\nAnswer: -2301683440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02907 rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, 1 a, and 1 h when four letters picked without replacement from {q: 6, a: 2, y: 3, h: 5, b: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, f: 5}. What is prob of sequence vvf?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/3, -1\/2, 5\/2, 1\/3, 1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.044 - -0.456. Sort z, -0.1, -8 in ascending order.\nAnswer: -8, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1512 and -219339?\nAnswer: 331640568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p + 6. Determine o(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 518615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*sqrt(405) - sqrt(45))\/(sqrt(36) + 2*sqrt(36)))**2.\nAnswer: 1805\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17231*t**5 + 556*t**3 + 143991301*t**2 wrt t?\nAnswer: -1033860*t**2 + 3336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**2 + 3*t + 1. Let z(m) = 17*m**2 + 3*m - 45. Calculate -6*c(v) - 2*z(v).\nAnswer: 2*v**2 - 24*v + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1611 = -571. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 255936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 - 16*x**3 + 30*x**3 - 5*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/10 - (92408\/(-20) + -5).\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + 2. Let v(l) = 5*l**3 - 5. Let f(k) = 2*v(k) + 5*y(k). Let b(h) = -5*h**3. What is 5*b(t) - 4*f(t)?\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -67 + 117 - (9 + -3 - -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*m = u + 16, 0 = -4*u + m + 10. Suppose x - 2 = 5. What is the units digit of (-1 - x)*-8*u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**6\/120 + 2*y**5\/15 + y**4\/24 - y**3\/3 - 4*y**2. Calculate the remainder when p(7) is divided by (19\/(-3))\/((-12)\/36).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10332412033 (base 5) in base 9?\nAnswer: -23085147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/140 and 44\/63.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.6750097 to one dp.\nAnswer: -111.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*h**2 + h**3 + 2*h**2 + 16*h**3 + 9*h**2 wrt h.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -7. Let j(o) be the second derivative of o**5\/20 - 7*o**4\/12 + 4*o**3\/3 - 3*o**2\/2 + 5*o - 12. Give j(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = 16*j + 392168. Let h = -8661 + j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 4*a - 2*a - 5*k, -5*a - 2*k + 530 = 0. Let o(q) = q**2 + 4*q + 1. Let z be o(-6). Calculate the greatest common factor of a and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 8*x + 6*x - 10, -2*x = -10. Solve -5*i + 6*i = -p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3129*l + 1. Let o(h) = -h**2 + 2*h**2 + 9165954 - 9165954. Determine c(o(p)).\nAnswer: 3129*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 - 22720*x - 32262400 = 0. What is x?\nAnswer: -2840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -130\/18933?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -22*h**2 - 3*h - 43. Let l(t) = 31*t**2 + 4*t + 65. Let d(x) = 7*b(x) + 5*l(x). What is d(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22175.012508 + 22175. Round x to 4 decimal places.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/4 (b) 2\/7 (c) -0.04 (d) 35\/183 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1309 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4\/9*o**2 - 2\/9*o**4 - 8\/3*o + 2\/3*o**3 + 16\/9 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 6*o + 44. Let v be y(10). Suppose f - 3 + v = 5*r, 0 = 2*r - 2*f - 2. Let h be -1 + r + 1 - 0. Is h < -3\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 503314 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, m: 1, e: 3, v: 3}. Give prob of picking 3 n and 1 v.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/70959 - -2058031\/15610980. Let a = -1547\/660 + u. Calculate the common denominator of -11\/18 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 6 = 17*l - 14*l, 15 = 3*l + 2*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 5*v**2 - 32*v - 8. Let o(c) = 2*c**3 + 10*c**2 - 55*c - 15. Let i(p) = 5*j(p) - 3*o(p). Determine i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 578 - 578. Which is the closest to 0? (a) 1 (b) w (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**3\/6 - 3*x**2. Let c(j) = -j**2 + 134*j - 3121. Let h be c(30). Let v(o) = -3*o - 8. Calculate h*v(g) + 6*k(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/284 and -59\/5448.\nAnswer: 386808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -365*s**3 - 10*s**2 - 24*s + 3. Let u(q) = -121*q**3 - 4*q**2 - 9*q + 1. Give 8*u(l) - 3*w(l).\nAnswer: 127*l**3 - 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*d - 504 - 526 - 400 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-9\/5)\/d*d**(-1\/36))\/(d**(2\/17)*d*d**6) assuming d is positive.\nAnswer: d**(-24313\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.53 * -3.\nAnswer: -10.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**9\/168 - q**5\/60 - q**2\/2 + 4. Let w(m) be the second derivative of n(m). What is the third derivative of w(g) wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*v + 195, -8 = -0*v + 4*v. Let m be 780\/14 + (-18)\/t. Suppose 0 = -24*k + 17*k + m. Calculate the highest common divisor of k and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 1268*h - 18795.\nAnswer: -(h - 1253)*(h - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620861.\nAnswer: 1321, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1753719498 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 47*z**2 + 527*z - 341. Calculate x(-23).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44456.7879 minutes to weeks.\nAnswer: 4.410395625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 6:03 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - (31 + -20 + -29)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 210111112001?\nAnswer: -210111112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12181328 divided by 1522666?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24\/233 (b) -4 (c) 6 (d) 1 (e) -1\/4 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 3, o: 3}. Give prob of sequence ybyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - s = -121, 4*y + 2*s = -s - 157. Let r = 60 + y. Solve -4*p + 0*d - 3*d + r = 0, 5*p = 3*d + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -6. Suppose d*r - 5*x - 8 = 0, -2*r + 0*x + 40 = 3*x. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/84 and 58\/105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z + 139. What is s(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3396, -6791, -10186, -13581, -16976?\nAnswer: -20371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*h**3\/3 + 80561474*h**2\/3 - 23017546*h + 4932330.\nAnswer: -2*(h - 822055)*(7*h - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31)\/(-3) + (-2)\/(-3). Let p(q) = 321*q + 967. Let h be p(-3). Suppose o = -o + 8. Solve -4*x + 10 = -o*d - 5*x, -c = d - h*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = -425. Suppose 3*f + g = y + 429, -5*y - 340 = -3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*c + c**2 + 81*c + 4*c**2)*(c - 2*c - 2*c + 2*c + 4*c - 5*c + 1 - 1 + 2*c + (-3*c - 3*c + 4*c)*(2 + 0 - 4) - 5*c + 6*c + 0*c).\nAnswer: 25*c**3 + 115*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2, -3*c - 2*c + 4 = 3*a. Suppose -9 = a*s, 5*t - 4*s - 96 = -14. Let b = t + -12. Calculate the highest common divisor of 18 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.043.\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-1) + -3 - (-196)\/14. Let f = 7 + -10. What is the third biggest value in j, f, 3\/8, 0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 2*l - 2200. Suppose -47 + l = z. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s + 10. Let u = -10 + s. Let c(v) = -v**2 - 6*v - 1. Calculate c(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -400 + -3?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260325 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6006 = -2607*i + 2376*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1\/8, -29 in descending order.\nAnswer: 2, 1\/8, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/17773 and -89\/190425.\nAnswer: 1332975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*p**5 + 25*p**4 + 3479*p**3 + 12*p**2 - p - 419537 wrt p.\nAnswer: 900*p**2 + 600*p + 20874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8498+0.02\nAnswer: -8497.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 32 = 0. Suppose n*t - 1735 = 3*t + 5*o, -o = t - 341. Suppose 0 = 5*v - v - t. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21437562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -67. Let u be (1 - (-8)\/(-2))*-1. Suppose 2*g - 2*n - 26 = l, u*g - 5*n = -n + 36. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427756 = 126*d + 437332 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-3) - -3)*6. Let r be (1\/12)\/(-1 + (-9)\/(-18)). Sort r, 17, u.\nAnswer: u, r, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**5\/7 - 264*a**4\/7 + 7830*a**3\/7 - 97200*a**2\/7 + 435375*a\/7 = 0.\nAnswer: 0, 15, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*q**2 - 8*q + 31631?\nAnswer: 182*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 4:30 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878766623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1 (c) -0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0*d - 1\/8*d**4 - 2 + 1\/60*d**5 - 21*d**2 - 3*d**3. Suppose m(v) = 0. What is v?\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 435, 437, 439, 441?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**3 - 60*j**2 + 23*j + 126. Calculate m(-6).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57908605.\nAnswer: 5, 41, 282481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 2059905 + z**3 + 187204 - 2247109 + 0*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w + 128 = 382 - 143. Let u(z) be the second derivative of 5\/6*z**w + 1\/12*z**4 + 7\/2*z**2 + 0 + 26*z. What is u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.926 - 898660.143.\nAnswer: -898658.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11837 = -12569. Calculate the remainder when 561 is divided by c.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 4, u: 5, k: 1}. Give prob of picking 1 k and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(63)*2 + sqrt(63))**2 + -5 + sqrt(63) + 2 + (2 + sqrt(3087)*3 + -1)**2.\nAnswer: 129*sqrt(7) + 32884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwwwwkwwww. What is prob of sequence wwk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2110?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -412404141 (base 5) to base 10\nAnswer: -1684921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 3, w: 2, d: 6}. Give prob of sequence wfmw.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79340300 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 1\/50*j**5 + 0 + 1\/5*j**4 - 10*j + 3\/5*j**3 + 4\/5*j**2. Factor d(k).\nAnswer: 2*(k + 1)**2*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/25 >= 0.332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35678712 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51145, -102167, -153193, -204223, -255257, -306295?\nAnswer: -357337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*f - 5 = f, -3*l + 3*f - 3 = 0. Solve 2*z - w + 3 = z, 4 = l*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*(-6)\/(24\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/27*((-36)\/(-10))\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5\/7, -21, -0.07, -0.3, 2.\nAnswer: -21, -5\/7, -0.3, -0.07, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:46 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*v - 8*v - 8*v - 5*v**2 + 3*v**2 to g*v + z + t*v**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 688\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 + (-3)\/4 + 3. Solve u + u + 17 = -i*d, -4*u - 3*d - 19 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605062 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 p be (-20)\/(-54)*2799\/(-6). Let s = -242 + 69. Let m = p - s. What is the nearest to -1\/3 in m, -5, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m. Let u(s) = s**2 + 3*s + 3. Let i be u(m). Suppose 0 = i*j + 3, 0*t - 3*j = -3*t + 12. Solve -z = -t*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2767242375 and 2010.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/155319150 and 173\/217446810.\nAnswer: 1087234050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 + 0*r**4 - 3*r**4 + (-66 + 434 + 659)*(1 - 2 + 3)*(-r**4 + r**4 + r**4) to the form f*r**4 + t + d*r + h*r**3 + g*r**2 and give f.\nAnswer: 2051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 2965*d**2 + 438075*d + 441045.\nAnswer: 5*(d - 297)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03074 - -0.0195. Round d to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11))**2*((a*a**(-11)\/a)\/a)**(-6\/19))**37 assuming a is positive.\nAnswer: a**(-12802\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -6*h**3 - 9*h**2\/2 - 1119*h. Let r be (-1)\/(-2 - 7\/(-3)). Does 22 divide v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28597 + 29237 = -32*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/7)\/((-14)\/686). Suppose -11*a - 18 = -4*c - 6*a, r = 3*c - 4*a. Solve -5*n + 37 = 3*m - 3, 10 = -c*m + 4*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -535. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(108)\/(1*sqrt(4)) - (-2*sqrt(3) + 1 + -4)))**2.\nAnswer: -20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10*q = q. Solve 4*k - o + 8 = q, -o - 1 = 5*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Let l = 0.31 - 0.61. Put q, l, 4\/5 in increasing order.\nAnswer: l, 4\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3 = -c + 2*c, -11 = -f - 2*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -109\nAnswer: 5\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20960 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 51942.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.8358, -0.35, -4 in ascending order.\nAnswer: -4, -0.35, 18.8358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Let i(q) = 2*q**2 - 2*q. Calculate the remainder when i(c) is divided by (-3)\/(-2)*(-26)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a68 - 230?\nAnswer: 6838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbtpytb. Give prob of picking 1 y and 2 b.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 j when three letters picked without replacement from {j: 8, u: 2, m: 1, l: 1, p: 7}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 56\/(-9)) + -4. Put -6, 1, s in descending order.\nAnswer: 1, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97838452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.217? (a) 5 (b) 2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2746 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/8 (b) 1 (c) 3\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -10. Suppose 0 = -a + m. Let l(h) = -3*h**2 - 5*h**a + 2*h**2 + 4*h**2. Let f(g) = g**2. Give f(l(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712542734?\nAnswer: 2, 149, 2391083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218*t**2 + 116 + 178*t**2 - 37*t**2 - 194*t**4 + 196*t**4 + t - 16*t**2 wrt t.\nAnswer: 24*t**2 + 686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20464044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147839 is divided by 309.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {w: 1, k: 1, b: 2, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 118451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 392636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/4)*p**6*(p**(1\/3))**(-47) assuming p is positive.\nAnswer: p**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6 - 174\/12. Let p(b) = -16*b + 19. What is the units digit of p(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978898?\nAnswer: 2, 489449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -11, -20?\n\"Answer: -9*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*q + 15 = -0*a, 0 = 4*a + 4*q - 40. Let d = 0 + a. Let n(p) = -4 + 0*p - 1 + 3*p - 2*p. What is n(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**5 + 2*u**4 + 2. Let a(i) = i**5 + i**4 + i**2 + 1. Let q(t) = 4*a(t) - 2*l(t). What is the third derivative of q(b) wrt b?\nAnswer: 600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -635?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-32)\/52)*-5*387\/(-3870).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 38) + -21 + 50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -378*v + 363*v + 2432145. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g - 129. Let c(x) = 2*x**2. Calculate c(l(m)).\nAnswer: 242*m**2 + 5676*m + 33282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*b**3 - b**2 + 0*b**2 + 8857*b - b**4 + 9 - 8856*b to the form l + u*b**3 + n*b + s*b**2 + i*b**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000228 rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 1\/6, -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10921?\nAnswer: 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 + 2.18. Let x = -589.3 + 592.3. Which is the closest to x? (a) -1\/3 (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91783 (base 11) to base 8\nAnswer: 405626","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 2 - (-66)\/45 and (-6)\/39 + (-238)\/650.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1 + 3*g + 1 + 0*g. Suppose 32 = 4*y - 4*d, -d + 23 = 4*y - 2*d. Suppose y = -v + 3. What is m(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 44, 4\/63, 0, 13\/9?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2 - 2*i**2 - 3*i**2 - 20*i**2 + 4*i wrt i.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + 7 + -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7335?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*6*1*-4*sqrt(272)*-3)**2.\nAnswer: 5640190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1741, -30 in increasing order.\nAnswer: -1741, -30, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6408937.\nAnswer: 149, 43013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (928\/1392)\/((-4)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 27?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 9000\/253?\nAnswer: 9000\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 82. Let d be b(19). Let a(l) = -4*l + 3. Let w(z) = -z + 1. Determine d*a(t) + 22*w(t).\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/9 + 244*d**4 - 613682*d**3\/9 + 663680*d**2 - 14796800*d\/9 = 0.\nAnswer: 0, 5, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97527 + 128067 + 1219956 = -10475*l for l.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 11903161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 97*v - 9600. Give a(60).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b940 (base 13) to base 7.\nAnswer: 1301246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6602813.7 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10 = -3*j + 8*r, 0 = 5*j - 2*r - 10. Suppose j = 6*n - 93 - 543. Let a = 146 - n. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -2 - 7\/3*l**3 + 1\/4*l**4 + 7\/2*l**2 + 0*l. What is p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 106, 118, 130, 142, 154?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:08 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3789?\nAnswer: 18945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + c + 8, 4*c + 0 - 4 = -2*d. What are the prime factors of -3*d\/9*(0 - 351)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + 65*i + 70. Let q be v(14). Which is the nearest to -1? (a) q (b) 2 (c) -2\/7 (d) 172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389909447.\nAnswer: 3, 6427, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/2 - (-7 - -14 - 4088) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -182365*j. Let r(w) = 2*w**2 - 252*w. Calculate r(f(g)).\nAnswer: 66513986450*g**2 + 45955980*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8)\/((-8)\/(-288)*(-159)\/53).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*12\/(20\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9814 - -29443\/3. Let o = -8.17 + 8. Put -0.4, o, n in ascending order.\nAnswer: -0.4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 6:52 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4726021 times -0.1\nAnswer: -472602.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4996 - -5000. Solve 0 = i*j + k - 4*k + 16, 3*j = 3*k - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 3. Let g be y(2). Sort g, -3, -5.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53580, -68842, -94278, -129894, -175696, -231690?\nAnswer: -297882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 10\/4 - (-669)\/6. Let z = 447\/4 - a. What is the nearest to 0.1 in z, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465, 619, 767, 903, 1021?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 118 * -0.2\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 4 = -3*z - 4*l, -l = -47 + 57 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*-4)\/sqrt(8))\/sqrt(5).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(55)\/(sqrt(22)\/sqrt(2)).\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-8 - -1) - (-1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10653*p**3 - 2*p - 25*p**4 - p**2 - 10655*p**3 + 4*p to u*p**2 + m*p**4 + k + z*p + c*p**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 13.048. Let x = p + 0.04800066. What is x rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144934.\nAnswer: 2, 72467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 12 + (0 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-2 - (-8 + 2))) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r**13*r)\/r)\/r)\/(((r**(-2\/31)*r)\/r)\/r) assuming r is positive.\nAnswer: r**(436\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1925*r + 186. Is x(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)*1 - -13. Let t be (27\/c)\/3*4. Let a(m) = -6*m + t*m + 2*m. Let f(h) = -h**2. Give f(a(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83228*c**3 - 21917*c**2?\nAnswer: 499368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39032 divided by 2296?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 861\/11321 or 0?\nAnswer: 861\/11321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + 3795*j + 30799. Give b(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 936 + 9\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790737*q - 790740*q = -12, -104 = 6*v - 5*q for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 0*n**2 + 0*n**2 + (9 - 55 - 77)*(2 + n**2 - 2).\nAnswer: -122*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121)\/((-88935)\/(-525))*56.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8841.15 rounded to the nearest 100?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0831 + 0.04422. What is p rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 + 5*a**2 + 4*a - 7. Suppose 41*v - 259 = 78*v. Let n(h) = -2*h**3 - 4*h**2 - 3*h + 6. Calculate v*n(c) - 6*o(c).\nAnswer: -4*c**3 - 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Work out 379759 * -0.2.\nAnswer: -75951.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -3*r + 9*r. Let l = r - 26. Let c be (-7)\/1 + (l - -7). What is the third biggest value in 0.3, c, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-55)*738\/(-205)*(-1)\/((-3)\/50)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, k: 2, x: 3}. Give prob of picking 1 w, 1 x, and 1 k.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y + 3*j = 24, j = 0. Let r(m) = m**2 - 8*m - 1. Determine r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3150 and 120.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3 - 6*d - d**2 - 3 + d**4 - 4*d**4 as s*d**4 + y*d**3 + m + h*d + n*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -4 (b) -785 (c) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-14*(-38)\/(-40964)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 976.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o**3 + 290*o**2 - 1800*o**4 + 1803*o**4 + 178*o**2 = 0. Calculate o.\nAnswer: -13, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 268, 3, 13, -5, 6 in ascending order.\nAnswer: -5, -3, 3, 6, 13, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2343728.8617 - 2688958.859. Let h = -345251 - a. Let t = h + 21. Round t to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 2*b + 2. Let i be k(2). Suppose 2*r - 372 = -i*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 8. Let w be z(7). Let b be (-1 + (-2606)\/w)*-60. What is b rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 - -189b?\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 1\/3 (c) 0 (d) -199 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.967955 rounded to three dps?\nAnswer: 17.968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4466, 9602, 15414, 21902, 29066, 36906, 45422?\nAnswer: 54614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 32. Suppose -2*w + 5*l - 2*l = -u, 4*w - 20 = 4*l. Let m be ((-10)\/(-8))\/(w\/(-16)). Round m to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.1. Let n = z - -2. Let c = 969 - 971. Put c, 0.1, n in decreasing order.\nAnswer: n, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/37 in -21\/2, 0.2, -0.5, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2 - 4. Let i be 0\/(-12)*(-1)\/g. Solve d - 6*d - 10 = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**2 - 137*l - 523. Calculate d(-5).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 4*g = -61*g + 122046122. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23475, -46910, -70369, -93864, -117407, -141010, -164685, -188444?\n\"Answer: -2*b**3 - 23421*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69144\/2144)\/(90\/(-24)).\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Let m = -19677 - -19676.5. Let w be 2*(1 + (-5)\/2). Which is the nearest to -1? (a) m (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/((-14)\/(-616)*11)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50423 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12233 and -7\/8469.\nAnswer: 110097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13.445346 - -160809\nAnswer: 160822.445346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*u + 1593 = 516 - 878 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12889.6 + -12889.6. Let s = -11 + 19. What is the nearest to s in n, 0.4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -25*x - 32. Let z(s) = -7*s - 9. Let y(a) = -2*p(a) + 7*z(a). Let h(m) = 4*m**2 - 12*m - 12. What is 4*h(c) + 48*y(c)?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 41*p = -45*p + 5, -5*p = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 6*z**3 - 5*z**2 + 5*z**2 + 9*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*v + 43*v + 4*w + 24, -5*w = -5*v + 45. Calculate the remainder when 212 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(120\/10))\/((-35)\/(-14))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10100010000100000101 (base 2) to base 14\nAnswer: -133cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 2}. Give prob of sequence fhf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11062726349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85787 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 18 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 622 - 31670?\nAnswer: -31048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -29. Suppose 41 + 35 - 111 = -7*h. Solve -q*k + 7*k + h = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(147\/7)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 2*l - 4*l)*(182*l**2 + 89*l**2 - 71*l**2)*(2*l**2 + 2*l - 2*l).\nAnswer: 800*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1048712 and 1281?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5007 - 5060. Which is greater: z or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*g**4 - 2\/5 + 6\/5*g - 4\/5*g**3 - 4\/5*g**2 - 2\/5*g**5.\nAnswer: -2*(g - 1)**4*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -760\/439?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from bfibrkq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*j - 4 = -2*o, -2 = -3*o + j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, k: 6}. Give prob of picking 2 b and 2 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 981390 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 22. Let x be f\/(-4)*5\/(-10). What is the closest to 1\/3 in 1\/4, 5, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/330 and -57\/5005.\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 - 1965326*w - 3930660 = 0. What is w?\nAnswer: -2, 982665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69844?\nAnswer: 2, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 718939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -907, -909, -911?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamkmkmkmmagmmgkmak. What is prob of picking 1 k and 1 a?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*c - 55872 = 74*c - 593361. What are the prime factors of c?\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -20. Suppose 4*p - 86 = 2*f, 3*p = 2*f - 10 + 73. Let g = p - h. Let c(y) = -1. Let k(s) = -2*s - 5. Give g*c(z) - k(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(11\/((-11)\/(-10))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1451*d - 1488 = -1544*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**3 + 10*h**2 + 4*h\/3 = 0. What is h?\nAnswer: -2\/3, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**2\/2 - 92*w + 809. Let d(k) = 2*k**2. Give d(j(s)).\nAnswer: 2*s**2 + 368*s + 16928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18635 (base 11) to base 14.\nAnswer: -96cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203072, -202560, -202048, -201536?\nAnswer: -201024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73389.7kg to tonnes.\nAnswer: 73.3897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5 - 12*y**3 - 8\/5*y**2 + 12*y = 0. What is y?\nAnswer: -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573721496 to the power of 1\/3, to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6065 or 4548?\nAnswer: 4548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173902323 + 173902323 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = -u + 29, 2*u + 8625*o - 19 = 8622*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. What is the biggest value in -1, 3\/4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 180*s - 191*s - 86. Let p(i) = -i**2 - 17*i + 25. Determine p(s).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663 + 113 = 8*s. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3121\/49584 or -1?\nAnswer: -3121\/49584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1614\/(-538)*(-3)\/2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 8*a + 21. Let c be x(-3). Solve c*d = 10*d + 4*j + 4, d + 3*j = -3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*v - 403 - 224 = -174 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1013 + -0.2967. Which is smaller: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2689 or 0?\nAnswer: -1\/2689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6875*m + 6875*m - 4863*m**3.\nAnswer: -4863*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(68) - (sqrt(68) + (-2*sqrt(68) - sqrt(68)))))\/sqrt(4).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238 * 0.5.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.5 - 18. Let l = d - 6. Which is the biggest value? (a) 1\/7 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4160 and 753720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -23 + 399\/21 - (76\/(-2) - 0). What is the greatest common divisor of 2431 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111122121 (base 3) to base 12.\nAnswer: -5914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + l - 6 - 6 = 0, q + l + 4 = 0. Let k = -5 - q. Solve -3*j - 2 = 2*m - j, 0 = -m - k*j + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.04 (c) 0.2 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1376 and 7396?\nAnswer: 59168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-68)\/(-18) + (-4)\/(-18). Let q = -2 + i. Factor 12*f - 4*f**3 - 2*f + 8 - 8*f**q - 6*f.\nAnswer: -4*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q**4 + 128*q**4 + 32*q**4 + (q**3 + 4 - 4)*(-q + 0*q + 0*q) as t*q**4 + n*q + x*q**2 + k*q**3 + h and give t.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40985499787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*((-2*(sqrt(72) + 0) - (1 + sqrt(72))*3) + 0)**2.\nAnswer: 540*sqrt(2) + 5427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96148648.\nAnswer: 2, 23, 181, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 51. Suppose f*v = 44 - 2. Let l(n) = n**2 - n - 8. Calculate the remainder when 60 is divided by l(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589 = -5*t + 231. Suppose 4*k - 4*u - t = 0, -3*k + 129 + 26 = 5*u. Suppose 0*d - 27 = -3*d. Calculate the highest common factor of k and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3195, 11620, 25693, 45414, 70783?\nAnswer: 101800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -63.999999841. Round d to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 876*d**2 + 836*d - 16565. What is r(-437)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q. Is 14 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4728, 6448, 8162, 9876, 11596, 13328?\n\"Answer: l**3 - 9*l**2 + 1740*l + 2996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -434961 < -434960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 5*m + 4. Let v(h) = -h**2 + 6*h - 2. Let t be v(5). Let w be b(t). Let z be w\/9 - (-14)\/63. What is the second biggest value in z, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6\/5)*h**(-7))**(-1\/12) assuming h is positive.\nAnswer: h**(41\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 13*m + 7. Let v be d(-12). Let f(l) = l + 10. Let a be f(v). Solve 7 + a = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 1722\/79 (c) -2\/13 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4986 by -22.\nAnswer: -2493\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-10) - 160\/(-50). Suppose -5*f - v = -c*v - 10, -3*f - 3*v = -30. Suppose -f*u + 10*u = 365. List the prime factors of u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 - 309.9651667084.\nAnswer: -344.9651667084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 28.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 6*h + 350. Let n be 10\/h - (-42)\/10. Suppose 4*j + 2*c = 1154, -n*c = -j - 0*c + 275. Calculate the greatest common factor of j and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*c**4 - 648*c**3 - 364*c**2 - 13?\nAnswer: -912*c - 3888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29801, -59595, -89389, -119183, -148977?\nAnswer: -178771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1152921090 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/57 and -67\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.9. Which is the nearest to -2\/9? (a) 4 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 3*z + 3. Let s(m) = -54*m - 1 + 27*m + 28*m. Determine -f(h) - 3*s(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11 + (-312)\/(-20) - 4) + 364\/10 is divided by (-2)\/5 - (-42)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 9:29 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - (0 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1334\/145 + 12\/(-10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 202 - -477?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 11 + -28 + -18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3173678 at most as big as -3173679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 14602*y**2 - 4*y**3 + 17061*y**2 - 2 as l*y**2 + x*y + g*y**3 + c and give l.\nAnswer: 2459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 6*h = 10*h, v - 9*h + 41 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (93 - 52 - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -0.5, 5, -0.2, -85 in decreasing order.\nAnswer: 5, 4, 1, -0.2, -0.5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g + 167 = 65 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 168 = i - 0*i, -i = -3*h - 126. Let u be 4\/6*(-63)\/h. Let f be (6\/12)\/(u\/10). Solve 5*y + s = -4 - 6, 10 = -f*y - 2*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0.4 (b) -1\/2 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7 + 24 - 13*s**2 - 178*s + 172*s. Let g(t) = -t**2 - 1. Let o(b) = 6*g(b) - v(b). Find the first derivative of o(q) wrt q.\nAnswer: 14*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/(-15))\/(2\/(-102))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 + -135. Which is the third smallest value? (a) -5 (b) v (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43.5 and -10.3.\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 1:49 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + -2 + 6 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44312 (base 14) to base 2.\nAnswer: 101000010101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20152, -40157, -60162, -80167, -100172, -120177?\nAnswer: -140182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**5 + 850*w**2 + 2*w + 94.\nAnswer: -40*w**3 + 1700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8215992689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - -4.656. Let h = 0.2 - r. Round h to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.8 - 64. Let k be 1\/((-32)\/(-24) - (-74)\/(-54)). Put 0.4, k, f in decreasing order.\nAnswer: 0.4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8284*s**2 - 7*s + 1679. Let z(r) = -33136*r**2 + 29*r - 6713. Let x(a) = 21*b(a) + 5*z(a). What is the second derivative of x(d) wrt d?\nAnswer: 16568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314042 (base 5) in base 10?\nAnswer: -10522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**3 - 14*v + 21. Let p be q(-7). Suppose 12*t - p = -8*t. What is the highest common factor of 36 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 8*w**2 - 3*w + 5. Give g(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6574 - -6572.8. Put 2\/9, 0.1, t, 3, -3 in decreasing order.\nAnswer: 3, 2\/9, 0.1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 7345.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n. Let d(h) = -2*h**2. What is t(d(p))?\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034748 - -0.5?\nAnswer: 0.465252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 - 370. Solve -2*n + 3*t - 3 = n, 2*n + 3*t + 17 = m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17747\/6 + -2969. Let t = 23\/2 + q. What is the closest to 0 in t, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 6*v + 4. Let h be a(-6). Let n be 1\/h - 9\/(-12). Put n, 3, 0 in ascending order.\nAnswer: 0, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**3 - 4*f**2 + 10*f + 2. Calculate the remainder when a(6) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3.3 (b) -2\/1275 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {f: 4, r: 6, i: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839045.\nAnswer: 5, 167809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**3 - 6*w + 4. Let m(j) = j - 1. Give -g(l) - 4*m(l).\nAnswer: -4*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s - 3 = 45 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 0.4, -21, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2797 + -2782. Solve v*s - 25 = 10*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + o + 5 = 4*v, -5*o = -3*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, 7, 44, 83, 118?\n\"Answer: -g**3 + 10*g**2 + 6*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2 - 214*j - 627. Give n(-32).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7 and -169\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(112\/(-36))\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -4. Find the first derivative of -4*v - 34 - 3*v + i*v + 17*v wrt v.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*n + 8 = 36, 2*m + 4*n = 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -191088903*u**3 + 67708*u**2 - 270832*u. Let g(q) = -16933*q**3 + 6*q**2 - 24*q. Determine 33854*g(y) - 3*v(y).\nAnswer: 16927*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*3\/(-2) - 1. Let j = -0.3 + 0.4. Let f = 0.1 - -0.4. What is the nearest to j in q, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 8*m - 13. Let i be c(-4). Suppose 2*w - 1 = 3*p - 15, 7 = i*p + 5*w. Suppose 6*x = x + 60. Solve -x = -p*g - 0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2*-4 - sqrt(77))\/(sqrt(1584)*1))**2 - (-4 + 2*sqrt(700) + 2).\nAnswer: -20*sqrt(7) + 95\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33858966 divided by -6\nAnswer: 5643161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -87. Let u = r + -48.067. Let n = u - -0.0667. What is n rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 562 - 607.7. Let v = -45.4 - c. Put -0.66, v, -4 in descending order.\nAnswer: v, -0.66, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.77 - -0.23. Let b = -8 + g. Let u be (-8)\/20 - 12\/45. What is the closest to u in 5, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1295.85 in 3, 3\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 - -1.3. Let i = 0.04 + 1.46. Let f = k + i. Is -0.2 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15156478 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*d = 45, 0 = -685*d + 689*d for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22818, 23011, 23204, 23397, 23590, 23783?\nAnswer: 23976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(1 - x**4 - 1) + x**4 - 2*x**4 + 4*x**4 + 1 - 1 + 54*x**4 + (-5*x + 4*x - x)*(-5 + 2*x**3 + 5).\nAnswer: 52*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 2617 - 2617 - 55*f**2.\nAnswer: -67*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54940 is divided by 241?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60740680 and 5166?\nAnswer: 546666120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.775*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6 - 577*h**2 + 26 + 564*h**2 + 8*h + h**3. Let n be o(13). What is the highest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1751625?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6569 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 3:57 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 7*c**4\/12 + c**3\/6 - 9*c**2\/2 - 13*c. Is j(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 113\/3. Let r be 1 + -1*(-1 - -1). Let d be (-1263)\/1684 - ((-118)\/72 - -1). Which is the second smallest value? (a) d (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3\/4 + 171*x**2 - 2799*x\/4 - 870 = 0.\nAnswer: -232, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26790*f**3 + 214322*f**2 + 428656*f + 32.\nAnswer: 2*(f + 4)**2*(13395*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34391\/142357576 + 2\/41287. Let x = 26719\/10344 + f. Find the common denominator of x and -107\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 206 - 12. Calculate the remainder when (-6873)\/(-24) + 60\/96 is divided by x.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**3 - 6*r**2 - 5*r - 1. Let y(t) = 20*t**3 - 17*t**2 - 14*t - 3. Give 17*c(l) - 6*y(l).\nAnswer: -l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = 164. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -1100001011010101000010100?\nAnswer: -1100001011010101000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and -58*(1212\/304 + -4).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/7 - 519*j**4\/7 - 1548*j**3\/7 + 4*j**2\/7 + 2064*j\/7 = 0.\nAnswer: -516, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 9600 + 14672 = 0. Let z = g + 2155. What is the first derivative of -13 - z*r + 638*r + 14*r**4 wrt r?\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*b**3*d**3 - 3*b**3 + 3*b*d**3 + 44*d**4 + 11707*d**2 wrt d.\nAnswer: 1470*b**3 + 18*b + 1056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 2258.39.\nAnswer: -903.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 2, v: 2, s: 1, x: 3, f: 2}. What is prob of sequence xefx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 20. Let l be (-2)\/3 - g\/(-6). Is (l*3)\/((-4)\/(-24)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in 5, 2, -0.2, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:55 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(144)*-2 - sqrt(144))\/(3*(sqrt(2) + sqrt(2)*-2*-3)).\nAnswer: -18*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*u = 14, -5*v - 1778*u - 2 = -1777*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 116.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*b = -80*b + 27*b - 33462 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -736 + 712. Let k = 53 - 161. Let d be t\/k + 16\/(-234). Which is the biggest value? (a) 0.1 (b) 3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263.5 - 263. Let v = 4.51 + -4.21. Suppose 2*m - 2*q - 14 = 0, 2*m + 3*m - 3 = -3*q. Which is the closest to v? (a) 2\/3 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 28 = -7*u. Let h = 7 - u. Let s = 46 + -47. Sort -4, h, s.\nAnswer: -4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 27902864043144?\nAnswer: -27902864043144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11408 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*i - 4. Suppose 4*f = 4*w - 6*w - 8, 2*w - 5*f = 37. Let q be 70*(-1 - w\/i). What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-218612)*43*-6.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*q - 11. Solve 0*z - 3 = -q*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 2. Suppose 0 = m*w - 7*w. What is the second derivative of -6*a + w*a**2 + a**2 + 2*a**2 - 5*a**2 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upp when three letters picked without replacement from {d: 4, p: 5, v: 8, u: 2}.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 4 + 7*q**3 - 3*q - 7*q**3 in the form i*q**2 + b*q**3 + n + j*q and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtttqtppqtapatqt. Give prob of sequence tt.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 - 223*c - 778 - 13*c - 27*c + 383.\nAnswer: -263*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - l - 102 = 0, 3*z + 690*l - 691*l = -96. Put z, 13, -4, 1 in descending order.\nAnswer: 13, 1, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-22 - 20 - 6*s + 40)*(8*s**4 - 13*s**2 + 13*s**2).\nAnswer: -96*s**5 - 32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*k + 6 = 163*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -24, -2*k + 1336 = 25*x - 23*x. Which is greater: 675 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2. Let w(j) be the first derivative of -15*j**2 - 8. Determine w(n(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.828465 decades?\nAnswer: 99.4158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/3 + 68*b**4\/3 - 572*b**3\/3 - 208*b**2\/3 + 1870*b\/3 - 1156\/3 = 0. Calculate b.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 108 = 5*p. Let b = 137\/5 + p. Does 10 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - 10131?\nAnswer: -10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y - 22*y - 3483 = 0. Calculate the greatest common factor of y and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x. Let w(m) = -10*m + 25. Let v(s) = s - 2. Let j(n) = 75*v(n) + 6*w(n). Determine -4*j(q) + 11*u(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 5*l - 3. Let f be b(-2). Suppose 4*d = 12, -2*d = 2*r + 3*d - 87. Suppose -f*p + r = -0*p. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waf when three letters picked without replacement from {w: 4, f: 2, s: 3, d: 2, m: 1, a: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14783958.\nAnswer: 2, 3, 7, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 53, 80, 107, 134, 161?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -1232131?\nAnswer: -1232203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*d**3*i**3 + 2*d**3*y**2 + 889*d**3*y + 4*d*i**2*y + 2*i**3*y**2 wrt i.\nAnswer: 114*d**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2515 (base 6) in base 2?\nAnswer: 1001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65 less than 0.11?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.21, -0.2, -1, 2?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 742, 3, 2, 1, -7, 54 in increasing order.\nAnswer: -7, 1, 2, 3, 54, 742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 302141359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 216286. Let j(r) = 122*r**2. Determine s(j(k)).\nAnswer: 244*k**2 + 216286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least as big as 6362\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 1. Let n be (8\/10)\/(1\/x). Solve -4*y + 5*p - 2 = -21, 4*y + 4*p = -n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*v**2 + 1 - 5*v - v + v**4 as s*v**3 + q*v**2 + j*v**4 + y + x*v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**2. Let x(f) = 3*f**2 - 7 + 11 - 4. Give x(d(r)).\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 8*t**4\/13 - 11200*t**3\/13 - 691206*t**2\/13 - 13943362*t\/13 - 93261880\/13 = 0.\nAnswer: -41\/2, -19, 1460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(81)\/sqrt(3) + sqrt(27)))\/(sqrt(18)\/sqrt(2)*1).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(-1 - 5 + 0)*(4*s + s - 3*s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 988547 and 3101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1)*(3*p - p - 3*p + 0*p + p - 2*p + (-3 + 2 - 1)*(-2 + p + 2) - 2*p + 0*p + 0*p + 2*p - p - 2*p) in the form k*p + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*z**4 - 74060*z**3 - z**2 + 15*z + 1007296 wrt z?\nAnswer: 936*z - 444360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u - 3*u, -2*t + 3 = 3*u. Let o(i) = 2*i**3 - 91*i**2 + 510*i - 52. Let x be o(39). Is t bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14036489 divided by -10789?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-9) - -1)*3\/64*16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*u**2 + 10 + 13\/3*u.\nAnswer: (u + 3)*(u + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 1 = -n, 3*n - 7 = -419*q + 421*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -206058 divided by 3\nAnswer: -68686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -7. Suppose -3*a = 226 + 5. Let m = a - -155. Calculate the remainder when m is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/4075 and -94\/7335?\nAnswer: 36675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 151*s + 2. Let k(l) = l**2 - 1. What is 2*k(t) + y(t)?\nAnswer: t**2 - 151*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkz when four letters picked without replacement from {z: 2, g: 6, k: 3, b: 1, r: 2, w: 4}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.21, 2\/5, -1\/99, -4, 2650?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/54473513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*p + 3227, -4*k + 3748 - 513 = -3*p. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-3 - 0 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - 178605*c**3\/2 + 89302*c**2.\nAnswer: c**2*(c - 178604)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 518? (a) -2\/39 (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2144 + 2524 = -19*k + 173*k - 414 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 93*j**3 - 2181*j + 2181*j as z*j**3 + a*j + s + p*j**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4*z + 6)*(767*z**2 + 788*z**2 - 276*z**2) + 2*z**3 - 2*z**3 + z**3 - z**2 + 2*z**3 + z**2 in the form y + m*z + q*z**2 + w*z**3 and give w.\nAnswer: 5119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**2 - 13*u**3 + 116*u**3 + 112*u**2 - 54*u**2.\nAnswer: 103*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11610, -46453, -104526, -185829, -290362, -418125, -569118?\n\"Answer: -11615*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5868768 is divided by 838330.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i**2 - 1 - 90*i**2 + 1.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -242376?\nAnswer: 1454256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 60 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - 2*v**4 + 4*v**4)*(-2*v + 13 - 5 - 7).\nAnswer: -2*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c + 2*c)*(117*c - 57*c + 123*c) to r*c**2 + i*c + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a kilometer in meters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11730000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4\/4 - 2*b**3\/3 - b**2 - 2*b - 4. Let j be v(4). Calculate the greatest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**7\/280 + o**4\/8 - 2*o**2. Let h(t) be the second derivative of y(t). Let v(s) = -12*s - 2*s + 15*s. Calculate v(h(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and 5425?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4650 and 1215?\nAnswer: 376650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1386.6739 + 0.5739. What is v rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-336)\/(-2170)) + 1\/12. Which is the fourth smallest value? (a) 0 (b) y (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.4, -2, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 200, 208, 252, 332?\n\"Answer: 18*o**2 - 46*o + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n = 6. Solve 5*z - n*s - 1 = -0*s, 3*z - 4*s = 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-976923)\/174)\/197)\/(-6)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -36. Suppose w*g - 255 = 6. Suppose 145 = 5*p - 4*l, -2*l - l - g = -3*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5346 - -5345. Let m(c) = 6*c**2 + 6*c + 6. Let b(d) = -d**2 - d - 1. What is v*m(f) - 5*b(f)?\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39845?\nAnswer: 5, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133696948 and 60771340?\nAnswer: 668484740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -302*w**2 - 3*w + 5. Let y be o(3). Is (0 - 2)*y\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/12988?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -8, 3\/7 in increasing order.\nAnswer: -8, 3\/7, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 450*y**6 - y**4 - 25203*y**2 wrt y?\nAnswer: 54000*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/9 and 43\/1653.\nAnswer: 4959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576533 is divided by 576449.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:41 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -44*d**2 - 13*d + 45. Let i(n) = -43*n**2 - 13*n + 46. Let q(j) = -5*h(j) + 4*i(j). Is q(3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2017 = -280*t - 1376 + 313 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 10) to base 16\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35207?\nAnswer: 17, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/10 - 2\/5. Suppose -2*o = -3*v + o + 99, 0 = -4*v - o + 142. Let z be 14\/v*10\/(-12). Put z, -2\/7, u in descending order.\nAnswer: -2\/7, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/3 (b) 0.6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 5494*l - 322025. Calculate q(58).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983840959?\nAnswer: 3, 11, 19, 71, 97, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330292459.\nAnswer: 19381, 68639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 21 in descending order.\nAnswer: 21, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248 and 310.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134.3367 - 134.4. Let g = 0.2633 + o. What is the second smallest value in -0.11, g, 0.3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7163 - -12152. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 163*o**3 - 2*o**2 + o. Let t(k) = k**3 - 24*k**2 + 139*k + 61. Let a be t(12). What is x(a)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f)**(17\/2)*((f\/(f*f*f\/(f\/f**(2\/7)*f)*f))\/f)**(-45))\/(((f**(1\/3)*f)\/f*f)**44)**36 assuming f is positive.\nAnswer: f**(-28247\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = 11. Put 1, f, -4 in increasing order.\nAnswer: f, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {h: 5, q: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 11*n + 30*n)*(11*n + 3*n + 9*n).\nAnswer: 414*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v**2 - 3\/5*v**3 + 3\/5*v.\nAnswer: -3*v*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4 = 3*s. Is s less than 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a510 (base 14) in base 7?\nAnswer: 12245620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 times -32?\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h + 1. Let w(j) = -22*j**2 - 8*j - 5. Let c(f) = f - 8. Let g be c(7). Let t(o) = g*w(o) - 4*v(o). Is t(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134509 is divided by 3448?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 7. Let n be l(-6). Let z = -41711 - -3128333\/75. Is z smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 108. Let o = -35.54 - j. Let r = 1.32 + o. Round r to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -113*w**2. Let h(s) = -13521*s + 23. Give h(k(d)).\nAnswer: 1527873*d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401112 (base 6) in base 8?\nAnswer: 75204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*l = -94*l + 2160. Is l a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38\/49, 0 in descending order.\nAnswer: 2, 38\/49, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18*t + 14. Let r be a(-4). Let s be (-4)\/(-10) - 404\/10. Let l = s + r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let v be (o - -3 - 1) + -1. Let a(f) = f**3 - 14*f**2 + 16*f - 11. Let k be a(13). Solve 4*t + 2*z + k = -v*z, 0 = -z - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 30 = -7*d. Is 4 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 502 + 1569. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 + 6*m**2 - 18. Let u(h) = -3*h**3 + 5*h**2 - 12. Let x(n) = 2*r(n) - 3*u(n). Factor x(j).\nAnswer: j**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 - (0 + 3 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w - 1. Suppose 0 = -0*z + 5*z + 10. Let c(g) = 4*g - 2. Determine z*c(o) + 3*b(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = 2*b, -4*o - 2 = -5*b + 16. Let x = 7 - 9. What is the smallest value in -5\/4, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*v + 3*a + 10, -2072*v + 2079*v = 4*a - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 346\/(-48) + 12 + -11 and -139\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 2\/11 (c) 72 (d) 1\/2 (e) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(24) + 2*sqrt(24)*-5)\/(sqrt(12)*-2*-5))**2 - ((sqrt(48)\/(sqrt(24)\/sqrt(3)))\/sqrt(3) + -1)).\nAnswer: -sqrt(2) + 231\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -0.4, 11, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3)*c*c)\/c)**(-10\/3)*(c*c*c\/((c*c\/(c\/c**(-4)))\/c))\/c**(2\/17) assuming c is positive.\nAnswer: c**(203\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 152 = -6*w. Suppose -5*b - 1035 = -2*n, -23*n + 2*b = -w*n - 2062. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -19, 8, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6.4982, -2\/7, -33, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**4 - 7*s**3 - 32. Let o(n) = 22*n**4 - 22*n**3 - 96. Let z(f) = -16*b(f) + 5*o(f). Differentiate z(q) with respect to q.\nAnswer: -8*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 154*w**3 - 176*w**3 + w**2.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 - 510 = 4*x. Suppose 5*o = -x + 69. Put -3, o, -2 in increasing order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*-1*(15 - 8581) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 47. Suppose -40*i + 66*i = 17056. Let t = i + -652. Solve -n = 5*v - t*q, -5*v = -0*v + q + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 - 9*o + 11. What is the tens digit of j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0 + 6*h + h**2 + 11\/6*h**3. Let v(t) = 6*t + 1. What is 4*p(c) - 7*v(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92\/1105 + -6\/85. Which is the third biggest value? (a) 5 (b) 5\/3 (c) 3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134902*d**3 + 3*d**2 + 1682914*d?\nAnswer: 809412*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 13*g**2 + g + 2. Let x be c(13). Suppose -s + 5*f + 21 = -3*s, 5*s - x = f. What is the first derivative of n**2 - 9 - n**s - 4*n**2 wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.011 + -10.839. Let c = g - 1.05. Let x = c - -12. Put -1\/5, 0, x in ascending order.\nAnswer: -1\/5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 384.0692 + -384. What is x rounded to three dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -10, -h - 4*z = z + 25. Suppose -o + 6 = 2*q - 2*o, 4*o = h. Find the third derivative of -17 + 17 + 9*x**3 - q*x**2 wrt x.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -55*p - 268. Let d be k(-5). Suppose 4*h - 2*h = 178. Suppose 0 = -5*l - d - 8, h = 2*q - 5*l. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4132 (b) -4 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706*n**3 - 2*n - 1377*n**3 + 2*n + 680*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/17 + 536*f**2\/17 - 17430*f\/17 + 134100\/17 = 0.\nAnswer: -298, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31518184547\/50 - -630316244. Let y = d - -47445. Calculate the common denominator of y and -19\/9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 96*f + 755. Give b(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 - (0\/2 + -1). Solve -5*f + 0*f + 2*h = 19, 0 = 5*f - 4*h + y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 0*c**4 - 2*c**4 + (-4 + 4 - 2*c**3)*(5*c - 3*c - c) - 1 - c**4 + 1 + 4*c**2 - 8*c**4 - 4*c**2.\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -264*d**3 - 15*d**2 - 11*d + 11. Let l(t) = 132*t**3 + 8*t**2 + 6*t - 6. What is -6*g(a) - 11*l(a)?\nAnswer: 132*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 188892, 188567, 188242, 187917, 187592, 187267?\n\"Answer: -325*i + 189217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/5)\/c)**(-4)\/(c*(c\/(((c**2\/c*c)\/c)\/c))\/c*c**(-6)))\/((c*(c**(-2\/3)\/c)\/c)**8\/(c**(2\/3)\/(c*c**(-2\/15)\/c))) assuming c is positive.\nAnswer: c**(311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9b (base 13) to base 8\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 759089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 771678038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from qiiiiiiiiiiqi.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/27)\/k*k*k\/k**11*k**12\/k*k**2)**27 assuming k is positive.\nAnswer: k**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11344014 divided by -6486\nAnswer: -1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4\/5 (c) 871593\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 0*w + 0*w)*(-1 - 1 + 3) + 0*w - 5*w + w)*(4 - 3 + 4) - 5*w + 9 - 9 + (-w - w + w)*(-4 + 0 + 2) + 3*w + 2*w - 3*w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.91059m to micrometers.\nAnswer: 17910590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1755104140?\nAnswer: 2, 5, 17, 5162071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1122?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Differentiate 5*o**2 + 3*o**2 - w*o**2 + 28 - 33 with respect to o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15, 2, -22 in decreasing order.\nAnswer: 15, 2, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 27*x**3 - 6*x - 196. Let f(r) = r**3 - 2*r + 1. Let l(o) = 3*f(o) - j(o). Differentiate l(b) wrt b.\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1668 or 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 19 = 4*z - z, 5*z = 2*r + 32. Let f be -2*(0 + -1) + 1. Suppose -2 = 2*p, 2*h - f*p = 37 - 10. What is the highest common divisor of z and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31.15882 milligrams?\nAnswer: 31158820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 239*i + 718*i - 239*i - 242*i.\nAnswer: -2*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -11 (c) 0.2 (d) 349 (e) 3\/8 (f) 2\/69\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1 + (sqrt(11) - ((sqrt(132)\/sqrt(3))\/sqrt(4) - sqrt(11))))*-1 + (1*1*sqrt(110))\/(2*sqrt(160)))*2)**2.\nAnswer: 175*sqrt(11) + 15075\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f - 3. Suppose 24 = 3*d + 3*d. Let h be (-5 + -5)*d\/(-8). Calculate the common denominator of -13\/3 and o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = u - 13, 2*u - 28 - 22 = -2*p. Suppose 0 = -2*m + 21 + u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3802694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2430 + 4423. List the prime factors of b.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5 - 15*k**4 + 9*k**3 + 67*k**2 + 42*k = 0.\nAnswer: -1, 0, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**3 + 3*x**3 - 2*x**3)*(-918*x + 420*x + 298*x) as b*x**2 + v*x + t*x**3 + y*x**4 + s and give y.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2178097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23751 is divided by 5928?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.351, 51, 2\/5, 3 in descending order.\nAnswer: 51, 3, 2\/5, 0.351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 8*l + 1. Let r(d) = 9*d**2 - 15*d - 1. Give 5*c(x) + 3*r(x).\nAnswer: 2*x**2 - 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 5*g**2\/2 + 5*g + 2. Let s(m) = -2*m - 2. Let x = 18 + -14. Give x*v(y) + 11*s(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11844458 = -17*k - 11842860 for k.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*p**4 + 3*p**3 - 4*p**2 - 7*p + 4762341 with respect to p.\nAnswer: 780*p**3 + 9*p**2 - 8*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*h = -290*h - 391*h + 15897 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16414829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-6)\/(-14)*(-1000 + 1063)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -133034.\nAnswer: -21\/133034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atttttttaattaa. What is prob of sequence ataa?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.57 - 2. Let j = 0.03 + d. Let s be (-6)\/(-40) - 2\/5. Which is the closest to s? (a) 0 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121\/3 or -39?\nAnswer: -121\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - 2. Let j(y) = y**3 - y - 2. Let b be j(2). Suppose -a*o + 10 = c - 0*c, -c - b*o + 12 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k**2 - 26*k**2 - 52*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 z when four letters picked without replacement from zgggz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11776 and 676352?\nAnswer: 15556096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 r when four letters picked without replacement from {r: 13, m: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8311346615.\nAnswer: 5, 11, 13, 563, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1995)\/(-2)*2 - (5 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 17*l**7\/42 + l**4\/3 - l**3\/6 - 89*l**2\/2 + 112*l. Find the second derivative of b(a) wrt a.\nAnswer: 340*a**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:14 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12454*q**2 + 18*q + 18. Let l(g) = 16314742*g**2 + 23577*g + 23577. What is 6*l(f) - 7859*y(f)?\nAnswer: 12466*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -5, 3\/4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.4, 3, -41\/3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -3*c**6\/5 + 11*c**5\/20 + 2239*c**4\/12 + 197*c**2 - 10. What is the second derivative of y(h) wrt h?\nAnswer: -432*h + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.92 - -21.08. What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 65. Let j(t) = 65*t - 32. Is j(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653666708 a multiple of 5127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.03 + 3.53. Which is the biggest value? (a) -0.2 (b) 4 (c) 2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23560 - 1062?\nAnswer: 22465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*l, 5*g + 9*l = 13*l - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105789916?\nAnswer: 2, 26447479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2)\/v))\/(v**7*v*v))**(1\/10)*(v**(2\/7))**(-1\/16)\/(v**(7\/3)\/(v\/(v*v*(v*v\/(v**(1\/5)\/v)*v)\/v*v)*v)) assuming v is positive.\nAnswer: v**(-5587\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.5. Suppose 4*j + 3 = -5. What is the smallest value in o, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 - 12662*w\/9 - 1733480\/9.\nAnswer: -2*(w + 140)*(w + 6191)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -456600 or -456601?\nAnswer: -456600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**6*p)\/p*p**11*p\/(p*p\/p**10)*p\/(p*p\/(p**(2\/9)*p)) assuming p is positive.\nAnswer: p**(245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 147.23 times -0.3\nAnswer: -44.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-42 + 74 - (11 - -2))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*c - 132*c - 1408 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 2*r - 3. Suppose -6*w = -13*w + 21. Calculate the remainder when z(w) is divided by (-4)\/((-27)\/21 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 + 137. Suppose 16 = a + 3*a, -t*a = 5*d - 763. What are the prime factors of d?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let w = 4.5 - 4.8. What is the closest to -1 in m, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 8, -3\/7, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -411639*f. Let g(d) = 2*d - 4. Give a(g(u)).\nAnswer: -823278*u + 1646556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22568302 to the power of 1\/2, to the nearest integer?\nAnswer: 4751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129116 is divided by 223.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6 + (-372)\/(-60)). Put l, 19, 1, -9 in ascending order.\nAnswer: -9, l, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 5, -4*l = -4*o + 8. Suppose -2*v - 49 = -5*p, -4 = p - l*v - 2*v. What is the highest common factor of 99 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 divided by -1818.\nAnswer: -181\/1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10665144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -641\/42 - -95\/6. What is the closest to -1 in h, -0.07, 1\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 525419, 1050843, 1576267?\n\"Answer: 525424*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.2154 (b) 9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162) + -5)**2 + -5.\nAnswer: 180*sqrt(2) + 668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.5 - 10.99. Let h = -0.11 + t. Let z = -2.253 + 0.253. What is the closest to -0.1 in z, -3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 925 and 900?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -2, 5, 4, 131 in ascending order.\nAnswer: -2, 1, 4, 5, 8, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1269\nAnswer: 2\/1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14037 is divided by 1079?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b. Suppose b*r = 4*r + 3*y - 292, -y - 4 = 0. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 6*y**2 + 4*y + 1. Let v be n(-5). Let b be (-2)\/v - 5\/(-15). Let t be (2*(-1)\/2)\/1. Which is bigger: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27769503 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*l = 135, 66*c - 70*c + 5*l + 67 = 0 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - 3*v**3 - 12*v - 7*v**2 - 2 + 31*v - 17*v - v**4 to the form j*v**3 + r + d*v**2 + y*v + u*v**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2bb3 + -12?\nAnswer: a2ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70.5*-133.\nAnswer: -9376.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2480*a**2*k - 23*a**2 - k - 42070 wrt a?\nAnswer: 4960*a*k - 46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63749618 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (719*l**2 - 1075*l**2 - 1876*l**2)*(-3*l - 2*l + 0*l) to the form v*l**3 + d + n*l**2 + f*l and give v.\nAnswer: 11160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/504 - ((-11)\/30 - -1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5178 * -3\nAnswer: -4.5534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmvllpvlclcp. Give prob of sequence fl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 32*s**2 - 3*s - 39. What is the hundreds digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -85*r + 89. Let q be f(1). Solve q*l - 32 = -3*c, 0 = c + 3*l + l - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - -2 - (-9)\/1. What is the common denominator of (111\/18)\/((-2)\/m) and (-211)\/(-6) - 1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9559*s - 4477*s + 2579*s - 831*s in the form h*s + b and give h.\nAnswer: -12288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 4*m. Let w be 54\/84 + 1\/2. Let a = 86\/63 - w. Sort a, -1.2, m.\nAnswer: m, -1.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 37*d + 106. Let w be t(-34). Let c(k) = -k**3 + 4*k**2 - 4*k + 6. Calculate c(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -6 - 1*-1. Suppose f - 7 = -c. Calculate the lowest common multiple of 1 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 9*m**2 + 10*m - 17. Let b be o(-7). Let h(k) = b - k**2 + 4 - 9 + 16. Let u(f) = -f**2. Calculate u(h(w)).\nAnswer: -w**4 + 44*w**2 - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4470 - -4474. Let f(w) = 2*w**3 - w**2 + w - 1. Let z be f(1). Let j(a) = -a - 1. Let y be j(-4). Sort z, x, y in descending order.\nAnswer: x, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*r + 5 = 0, -58*r = -o - 53*r - 3. Solve -4*b + 6 = -5*b + o*g, -2*g = 5*b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (82\/(-7))\/((-804)\/(-469)) and (5\/(-6))\/(1\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c + 120. Let o be q(-8). Solve o = 5*p + 16 - 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**3 - 5*d**3 + 14*d**3)*(-2*d + 6*d - d).\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002 (base 3) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227 + 0.2121.\nAnswer: 227.2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 27 = 3*t - 4*t, 4*c = -3*t + 47. Let p be ((-9)\/18)\/(1\/c). What is the tens digit of -1*84*3\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 995, 2, -2, -17, -4.\nAnswer: -17, -4, -2, 2, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 14*m - 4. Let q be s(-3). Factor 145*h - 2 - 19 - 2 - q - 10*h**2 - 101.\nAnswer: -5*(h - 1)*(2*h - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Let r(b) = 24*b - 21*b - 12*b - b**2 + 3*b**2. Let v(z) = z**2 - z. Let f(u) = -2*r(u) + 6*v(u). What is a(f(s))?\nAnswer: -4*s**4 - 48*s**3 - 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 37 + 627 = 0. Is 5\/(-1)*w\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 4)*(-4)\/(-6). Solve -14 = -o*q + 3*v - 6*v, q + 5*v - 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b - 91. Let k be v(0). Let o = -21 - k. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + 414220?\nAnswer: 414245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137\/13 + -1019\/130. What is the common denominator of h and -5\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*f + 23, -4*q - 4*f + 7*f = -17. Let d = 241 + -240. Solve w - q*w = 2*v + d, w = 5*v - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2920 and -17\/30.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189891951?\nAnswer: 3, 41, 53, 29129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Solve -4 - p = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:47 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 31 = 3*w, 0*w - 3*w + 61 = -2*o. Suppose 184*t - 5202 = 150*t. What is the lowest common multiple of w and t?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 570ac + 19?\nAnswer: 570c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplpivpwv. Give prob of picking 1 i and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -4328807307479.\nAnswer: -4328807307479.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -h + 50, 130 = 2*h + p + p. What is the greatest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 9 = 4*p, -38*l = 17*l - 45*p + 50*p + 180 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.211 + -0.663. What is g rounded to 2 decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhrh when four letters picked without replacement from hhhrhrhhhhhhrrhhrh?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688*j - 9 - 10 + 19.\nAnswer: 688*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1425*u**4 - u**2 + 11650 wrt u.\nAnswer: -5700*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 59 - 12*k**2 - 90 - 50*k**4 to x*k**2 + r + p*k + t*k**4 + m*k**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 115 = -10*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 268478*j\/3 - 1968516.\nAnswer: -2*(j + 22)*(j + 134217)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 97. Let m(o) = -4*o**3 + 15*o + 3*o**2 + x*o**3 + 1 - 9*o - 2*o. Determine m(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4 = -12*a + 11*a, 3*i + 17 = -4*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*b + 7 - 2, 4*b = 5*h - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 17 - 12 - 4187*d**2.\nAnswer: -4187*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 22 = -4*j, j + 2*j = -2*w + 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20244*f**2 + 124410*f**2 + 91374*f**2.\nAnswer: 195540*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7048848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 0 + 2\/3*i**3 - 2*i**2 - 1\/24*i**4 + 0*i. Suppose 0 = 4*r - 4*f, 5*r - 2*f + 7*f = -30. What is q(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 5*w - 3. Let h be b(-4). Let o be (-371)\/(-159) + 1 + 1\/(-3). Suppose 8*m - 7*m = o*t - 7, -t = -m + 1. Solve m = 4*g + h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, w: 6, u: 5, p: 5}. What is prob of picking 1 u and 1 w?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -121360001 (base 7) in base 13?\nAnswer: -175b90b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3 + 4*i**2 - 2*i**2 + 4*i**3 - 3*i**4 + 6*i**3 + 1047 - i**4 wrt i?\nAnswer: -16*i**3 + 36*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d - d**4 - d**4 + 155*d**3 + 2*d**2 + 12*d + 46*d**3 in the form z*d**4 + n*d + g*d**3 + k + r*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/2688)\/(72\/1440)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111657?\nAnswer: 3, 7, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, -5\/4 in ascending order.\nAnswer: -9, -5\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -327 in 1, 4, -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 4 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j - 10320. Suppose j = 4*h + 3*z, -2*z = -5*h + 4879 + 1594. Let y = h - 833. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -21, -34, -43, -48, -49, -46?\n\"Answer: 2*f**2 - 23*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 9*d + 36 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 7*u - 11. Let g be 10\/4*(-112)\/(-40). Let h be -1 - g - (-4 + 5). List the prime factors of t(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30927148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -218 (b) -1 (c) 4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 21 = -11*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/126)\/((30\/44)\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-1)*q))**20*q**(-1\/2)\/q**(-8))**(-50) assuming q is positive.\nAnswer: q**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 - 6*x. Suppose -28 + 0 = -7*i. Suppose i*o - 5*h = 34, 2*o = -3*o - 5*h + 20. Let t(u) = -u**2 - u. What is o*t(c) - d(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.58. Let y = 0.3 - k. Let z be (-105 - -12)*1\/3. Which is the smallest value? (a) y (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1039 + 1651. What is the remainder when 20 is divided by (-2)\/(-7) + a\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 33\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124623091 - 0.2.\nAnswer: -124623091.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z = 27*z + 136. Let h = -9 - -13. What is the remainder when z is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Suppose 0 = -t - 0*t + k. What is the remainder when 14 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/42 and 107\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:19 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 + 0*l**2)*(-l**3 - 16*l**3 + l**3 + (0*l**3 - l**3 + 0*l**3)*(-1 + 3 - 5)).\nAnswer: 13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 3 (c) 0.23 (d) 2 (e) -245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + (0 - (-1 + 3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*a + 104652, -275*a + 83737 = 4*r - 274*a. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 36*z - 358. Let o be l(10). Solve 13 = -2*w + 3, 0 = -5*v + o*w + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5596681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccdcccccpctc. Give prob of sequence tcdc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*u - 15 = 0, 5*r - 3*u - 21 = -5*u. Let d(j) = 5*j**3 - 7*j**3 + 2*j**r - 2*j**3 + 4. Is d(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 13) to base 14\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((648\/(-68))\/9)\/2)\/(((-27)\/2)\/9)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 4, q: 6, l: 3, e: 3}. Give prob of sequence eye.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -287, -281, -273, -263?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2782673.507 to the nearest one hundred.\nAnswer: 2782700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2063 = 2*d - 9006, 0 = -u + 1. Suppose 4*n - 9573 = -5*h, -3*n - 7642 = -4*h + 2*n. Let s = d - h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 13*i**2 - 106*i - 6. Let m(a) = 26*a**2 - 230*a - 13. Let w(f) = 13*h(f) - 6*m(f). Determine w(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k**3 - 37*k**2 - 1\/42*k**7 + 0*k + 0*k**4 + 0 + 0*k**6 - 1\/12*k**5. Find the third derivative of h(v) wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -0.1, -3\/14600, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0559822 - 0.363?\nAnswer: -0.4189822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**2. Let b(d) = -d**2 - 14*d + 21*d - 2 - 6*d. Let f(g) = g - 2. Let i(c) = b(c) - f(c). What is a(i(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3635400 and 1095600?\nAnswer: 79978800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 727941967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1066)\/1230 - (-2)\/3 - 36\/(-5). Solve 3*j = g + 5 + v, -3*j - 6 = 5*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 305229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*a + 33*a - 20*a)*(35 + 10 + 20).\nAnswer: -910*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*c - 124*c - 433 = 2143 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkck when four letters picked without replacement from {c: 2, n: 2, k: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 943, 2560, 4819, 7714, 11239, 15388?\nAnswer: 20155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -953260666*q**5 - 9814*q - 1881.\nAnswer: -19065213320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630672 by 13139.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 27*i**2 - 29*i + 40. Calculate the least common multiple of l(28) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 - 3.57. Let u = 54 - 376\/7. Which is the third smallest value? (a) -1 (b) u (c) m (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**4 + 2*n**4 + 0*n**4 + (1 - 2 + 2)*(0*n**3 + 0*n**3 - 2*n**4) - 1404*n**4 - 1522*n**4 + 2329*n**4 as z*n**2 + a*n**3 + d*n**4 + m + x*n and give d.\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(48)\/sqrt(12))*5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6943 + 6959. Solve 2*q = -q - 6, 4*o + 4*q + p = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*b - 7 = -108*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -72839, -145577, -218315?\n\"Answer: -72738*x - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2894 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 33*l - 44. Let q = l + -16. Suppose -4*o + 45 + 11 = 0. Calculate the lowest common multiple of q and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 20*v**2 + 97*v - 29. Let k be n(24). What is the third smallest value in 0.3, -1, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jas when three letters picked without replacement from aasjsjjaaas?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31 + 1*(1 - -2). Let u = o - 16. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 17 + 54)*(0*w + 3*w - 7*w + 7*w - 3*w - 2*w + (3 + 1 - 2)*(-w + 3*w + 0*w) + w + 0*w + 0*w) in the form n + i*w and give i.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let j(h) = -644*h + 155. Determine j(w(g)).\nAnswer: 644*g + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 13. Let f be (r + -9)*((-18)\/(-4))\/3. Solve -4 = -f*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 1, g: 1, m: 5, a: 5}. Give prob of picking 1 m and 2 a.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 31441\/(-115) + (8\/10)\/2. Let b = u + 275. Solve n = -n - b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4204, 4432, 4660?\nAnswer: 4888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 12 - 19 = -3*o, 3*i + 14*o - 113 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 31*q**2 + 4*q - 131. Let m be x(31). Is m <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 247239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -232*k + 9*k - 14*k - 836*k in the form y + w*k and give w.\nAnswer: -1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5320 is divided by 377?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 - 368. Suppose i*j = 26*j. Solve 0*w - 4*v + 10 = 2*w, j = 3*w - v + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.26.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -1003*k**6\/6 + 415*k**3\/3 + 1243. Find the third derivative of p(m) wrt m.\nAnswer: -60180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let v(o) = -3*o - 3*o + 5*o + 2*o. Determine v(h(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z**2 - 636*z + 6333. What is v(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7*v)\/(v*v**(-5\/6)))\/(v**(-13)*v*v**(-6\/11)) assuming v is positive.\nAnswer: v**(1345\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004394097 rounded to five dps?\nAnswer: -0.00439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-2)\/(-2) + -2). Let w = -0.32 - -0.12. Suppose 4*v + u + u = -12, 3*u + 14 = -5*v. Sort n, v, w in descending order.\nAnswer: n, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 358*v + 110*v + 68*v + 71*v + 106*v.\nAnswer: -3*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130742.\nAnswer: 2, 65371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12 + 675\/(-1170)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = -1. Let y be f + ((-6)\/4)\/3. Suppose -1\/4*s**2 + 1\/4*s + y = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2. Let o(m) = m**2 - m. Let q(r) = 8*r**2 - 9*r. Let x(k) = 18*o(k) - 2*q(k). Calculate u(x(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13*u = 12*u + 48, -4*k = 4*u + 24. Let p(t) = -5*t - 45. Let y be p(k). Sort 3, -6, y in increasing order.\nAnswer: -6, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 33*s - 12. Let t be a(9). Calculate the greatest common factor of 81 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 1 a when three letters picked without replacement from faaxaxak.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 - 20*u - 4264\/3.\nAnswer: 4*(u - 41)*(u + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67797 at most as big as 67898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/((-9878820)\/(-411621) + -24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480.5222 at most 1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 29. Suppose 5*p = v + 4 - 3, -x*p = 2*v - 73. Let h = v - 9. What is the remainder when 72 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2. Let s(h) = 8*h**2. Let q(k) = 20*r(k) - s(k). Let a = 29 + -24. Let n(w) = -3*w + 3*w + a*w - 3*w. Calculate q(n(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*j = -233*j - 726. Suppose -3*l = 2*a - j + 62, 5*a - 10 = 3*l. Factor 0 + 0*i**a + 2\/5*i - 2\/5*i**3.\nAnswer: -2*i*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007194 rounded to six decimal places?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(19)*-2)**2).\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - n**2 + 9*n**2 + 6*n**2 in the form y*n + k*n**2 + f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - k - 1659, 2*k = i - 580 + 174. Suppose 3 - 27 = 6*v, -3*v - 88 = -2*t. Calculate the remainder when i is divided by t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - ((-3)\/2 + 2))*-262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 146 = t, 4*t - 458 = t + 2*v. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/8 - 81*f\/8 + 555\/4 = 0 for f.\nAnswer: -37, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 155 (b) -0.01 (c) -9.2 (d) 0.182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 22886385.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 670 = 4*f + 500, -2*a = -5*f - 82 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*n + 20, -2*u + 0 = 3*n + 6. Let j be (3\/u)\/(1\/(-462)). Let l = -111 + j. Does 31 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-1)\/(-8)). Let g be (-1)\/(-4) - (-2)\/(-8). Suppose g = -i - j + 6. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -57, -78, -95?\n\"Answer: 2*o**2 - 31*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 59762?\nAnswer: -59761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-500)\/(-14) + -2 - (-7 + 752\/112). Solve -8*w + 22 + v = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 + 2 = 0. Suppose 0 = -3*p - 5*c + 69, -5*p + 4*c + 78 = -0*c. Suppose -p = -q - q. What is the smallest common multiple of q and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3914 and 190.\nAnswer: 19570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -47. Let a be (-2)\/(-4) - o\/8. Find the second derivative of -6*p - 26*p + 18*p**4 - a*p wrt p.\nAnswer: 216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmmwwllgfmlfwwllfw. What is prob of sequence wmm?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-6) - -3 - (0 - 3). Suppose s*w - 22*w = -90. Solve w = -42*y + 37*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-1)\/(-1))\/(22 - 23). Let p(l) = 9*l + 3. Give p(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*i**4 - 484*i**3 + 376*i**2 - 12*i = 0. What is i?\nAnswer: 0, 1\/30, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111011100110 + -1111000100?\nAnswer: -11000001010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/88 - (-142)\/8. Let i(k) = k**2 + 6*k - 11. Let r(a) = -a**2 + a - 2. Let w be r(3). Let o be i(w). Solve -12 = -o*s + 3*y + 14, x = 4*s - y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 9. Let f(i) = n*i + 1 + i - 3*i. Let w be (-2)\/(-7) - 2\/7. Calculate f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-5) - 0\/(-2). Let d be (-3 + o)\/((-1)\/15). What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4026, 4029, 4032?\n\"Answer: 3*r + 4023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41078 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-62)\/(-4)) + -46 + 2988\/72.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 252*h**2 + 3*h + 591. Let m be w(39). Round m to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*t - 3 = -3*t, -t - 3 = 0. Solve -j + 20 = 3*m, 2*j + 5 = -n*m + 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699103739 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.2, -1\/926, -1\/2, 10, 5\/4, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27149*j - 4*j**2 + 27149*j + 0*j**2 + 6*j**2 + j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddoo when four letters picked without replacement from {d: 1, n: 11, x: 1, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/16 + (-1062)\/48. Let h = u + 22. Solve n = -1 - h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*j - 111*j + 249*j - 60 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**6\/(n**0)**42 assuming n is positive.\nAnswer: n**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**8\/20160 + n**7\/7560 - n**6\/2160 - n**5\/360 - n**4\/3 - 5*n. Let d(r) be the third derivative of x(r). Factor d(m).\nAnswer: (m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609960 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 + 16*w - 6 + 3 - w**3 - 17*w - 2*w**2 as g*w**3 + j*w + n + l*w**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 1\/6 (c) 9\/7 (d) 0 (e) 6\/271\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 7*a**2 + 3*a - 1. Calculate the remainder when p(7) is divided by (-4)\/(-6) + (-2 - (-43)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858132 divided by -4.\nAnswer: 214533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 36 = -2*u, 5*u + 10 = -5. Let r be 88\/(-80) - 1\/x. Which is the third biggest value? (a) -1\/2 (b) r (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*r - 16. Suppose -r*p = 2*p. Solve 2*x = -p*x + w + 9, 4*w = -4*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -1 (c) 161 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -545, -818, -1091, -1364?\nAnswer: -1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y = -32627 + 152081. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 6*l + 3906 = 3944. Let x = 5 + -1. Solve 5*b - 19 = -0*p + l*p, b = -x*p + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -742, -726, -684, -604, -474, -282?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {n: 1, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 1. Let m be (-6 + -1 - 243)*(-2)\/(-4). Let l = 119 + m. Sort g, -3, l.\nAnswer: l, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769588805?\nAnswer: 5, 29, 5307509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 136\/18*(-297)\/(-66). Solve -36*u + v*u = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y. Suppose -4*j + 3*j = -4, 2*j = 4*o. Let q = 6 - o. Let z(b) = -b**2 + 4*b. Let l(m) = q*n(m) + 5*z(m). What is l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 1 + 3 + 3*s to the form c + w*s and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24951.058 - -24838. Round m to the nearest integer.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5243, 0.221, 2 in increasing order.\nAnswer: -5243, -4, 0.221, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 + (-2 - 32\/(-12))*225 and 40.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -31*z**2 + 39. Let q(f) = -125*f. Determine s(q(x)).\nAnswer: -484375*x**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -s. Let w(r) = -1 + 2*r - 2*r + 0*r + s*r. Let n(u) = 2*u - 1. Determine 5*n(d) - 4*w(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twof when four letters picked without replacement from odffdwtdwowe?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {f: 2, q: 2, h: 5, l: 3, a: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 81*p**2 + 63*p + 63. Let u(j) be the second derivative of 5*j**4\/12 + 2*j**3\/3 + 2*j**2 + 36*j + 2. Calculate -63*u(b) + 4*x(b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58275765?\nAnswer: 3, 5, 1091, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 232*d - 88. Let g(a) = -155*a + 57. Determine 8*g(t) + 5*l(t).\nAnswer: -80*t + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-36)\/(-3))\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -51, -94, -157, -246, -367?\n\"Answer: -b**3 - b**2 - 19*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 2*c - v, 5 = c - 2*v. Suppose 0 = 4*x + 4, -c*b - 3*x = -7 - 10. What is the smallest common multiple of b and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 61*q - 221. Calculate a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 130 = -9*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 2. Let r(p) = 4*p - 147. What is 3*b(f) + r(f)?\nAnswer: -2*f - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q + 5. Let k(w) = -19*w - 6. Give 4*k(h) + 5*x(h).\nAnswer: 19*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 34695454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 1265 + 1254 - 2549 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 13*v = -360. Suppose 13*k + v = 3*k. Let z(g) = g + 5. Give z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(600\/1080)\/(20\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10*w = -66. Let p be 1 - ((-6)\/(-2) - (-12)\/w). Let t(m) be the second derivative of m**4\/12 + 5*m**3\/6 + 5*m**2\/2 + m. Calculate t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 + 814628625071\nAnswer: 814628625069.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + f**2 - f + 3*f**3 - f**2 in the form k + i*f**2 + d*f + a*f**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -35*b**3 - b**2. Let o be (0 - (-4)\/12)*(3 + -6). Determine p(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30965258 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**4)\/r*r**(-6\/5)*(r**(-2\/7))**(-29)*(r**5*r*r**(-7))**(-1\/63) assuming r is positive.\nAnswer: r**(3497\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -2\/47, 2.9?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -123004 equal to -122981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*i**2*x + i**2 - 2*i*x**4 - 6 with respect to x.\nAnswer: -71*i**2 - 8*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34898?\nAnswer: 2, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-130) + 30\/50?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 45 = -q, -2*d = 2*d - 5*q - 55. Suppose g - 5 = 5*i + 1, -88 = -5*g - 4*i. Calculate the smallest common multiple of d and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -n + 4, 2*n - 4*r = 5*n + 8. Suppose 0 = -10*h + 6*h - 8. Let o be ((-2)\/h)\/(1\/3). Solve 5*z - o - 17 = n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 8 - (1 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44975*p**3*x**4 - 13925*p**3*x**2 + 6*p**3*x wrt x?\nAnswer: 1079400*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95643495 is divided by 264.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 172c7 (base 14) to base 2\nAnswer: 1110001101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -34. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-5) - (-2)\/(-5). Let k(o) = -2*o + 4*o**n - 3*o**2 + o - 1. Let j(z) = -7*z**2 + 6*z + 6. Let v be -3*(5 - 70\/15). Give v*j(r) - 6*k(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 1, r: 1, k: 1, s: 1}. Give prob of picking 1 k and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 126874\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p)\/(p*p**(-3\/17))*((p\/((p*p\/p**5*p)\/p))\/p)**(-2\/9) assuming p is positive.\nAnswer: p**(-586\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-9 - -5 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:50 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 4*q**2 - 3*q**5 + 3*q**2 + (1 - 1 - q)*(-5*q**3 + 4*q - 4*q)*(2*q - 2*q + q).\nAnswer: 2*q**5 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssuh when four letters picked without replacement from ueeoshls.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2187*t - 1103*t - 1047*t + 12190.\nAnswer: 37*t + 12190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**13)*g)\/(g*g**(-10)*g) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 0*h + h)*(-4*h + 2*h + 0*h) + h - 5791*h**2 - 8360*h**2 + 2986*h**2 - h to the form d*h**2 + i*h + z and give d.\nAnswer: -11161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (75\/12)\/(7\/28). Let x be 27\/(-6)*8\/(-6). Solve -3*i - 20 = 5*v, x*i + u = i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -3\/7, 2 in descending order.\nAnswer: 9, 2, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 9*t. Give k(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a meter in centimeters?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 697125608*c - 47538920 wrt c?\nAnswer: 697125608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-43)\/(-86))\/((-2)\/(-4)). Which is smaller: -1\/346 or h?\nAnswer: -1\/346","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 862, 1607, 2312, 2977, 3602, 4187?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 - 715\/6. Let z be (2\/15)\/((-2)\/6). Which is the nearest to z? (a) 0.3 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1013103210 (base 4) to base 16\nAnswer: 474e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -1\/20*s**5 - 1\/3*s**4 + 2*s + 0 + 1\/2*s**2 - 1\/3*s**3. Suppose -c = 4*c + 10. What is n(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 (base 2) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(272) - sqrt(272)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 104497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -0.1, -73\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 6. Let g(j) = j - 1. Let q(c) = -b(c) - 2*g(c). Let d(l) = -2*l**2. Calculate q(d(x)).\nAnswer: 6*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/60)\/((4050\/14400)\/((-2)\/4)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2 + 2340*a + 2339 = 0.\nAnswer: -2339, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 2 - 5*o)*(-3*o + 5 - 5).\nAnswer: 12*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 206890 or -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11728996 is divided by 693?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 4, z: 3, s: 4, x: 4}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + r**2 + 3*r - 4. What is the remainder when 67 is divided by v(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 8:49 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 0 - 27\/7*d**3 + 6\/7*d.\nAnswer: -3*d*(d - 1)*(9*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 14*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1541713 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*6)\/((-11)\/(253\/46))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let o be b\/(-5) - (-9)\/15. Let l(c) be the third derivative of -c**6\/40 + c**4\/12 - c**3\/6 - 2*c**2. Determine l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - n - 1. Let c be ((-2)\/(-4))\/(2\/(-4)). Let f(r) = r**2 + 2*r + 3. Calculate c*f(l) - 2*a(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2206303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 2}. What is prob of sequence tut?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687205370 a multiple of 2370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 6, h: 8, u: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -167, -425, -793, -1271, -1859?\n\"Answer: -55*h**2 - 93*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/33 - (-185)\/11. Let p = 69\/4 - b. Is -1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63439838 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 6*o**4 + 5*o**2\/2 + 14. What is the second derivative of m(s) wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Suppose h - t - f = 0, 4*h - 2*t + 3*t + 2 = 0. Which is the closest to h? (a) -1 (b) 1\/6 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmv when three letters picked without replacement from {j: 1, v: 5, e: 4, c: 5, g: 2, m: 3}?\nAnswer: 5\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -388, -359?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1041\/14, -2, -1\/7 in decreasing order.\nAnswer: -1\/7, -2, -1041\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*a + 4*k, 2812*k = -5*a + 2817*k + 85 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1) + (0 - (5 + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*q - 808*q - 18476 = 0 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-4)*16\/(-20). Let j be 3\/(-2)*(-8)\/f. What is the units digit of (1 - j - -2) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.15 (b) 12 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7236 + 9560. What are the prime factors of h?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 58*v + 34*v + 1530 = 0 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -2*d + 5*f + 16, -3*f + 51 = 91*d - 94*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14255667.09s?\nAnswer: 23.570878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**2 - 56*p + 56*p.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - 0.18. Let p = -0.19 - t. Let z = -0.09 - p. Is z not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) 0.771 (b) -2 (c) -0.02 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 2. Put h, 2\/3, -2, 1\/3 in descending order.\nAnswer: 2\/3, 1\/3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -230785.\nAnswer: -69235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/((-2)\/(-30)). What is the first derivative of n*f**4 + 2 - 2*f**4 + 0*f**2 + 0*f**2 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**8)\/t*t*t**(-5)*t assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 + -247 + -4 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 + 11 = 0. Suppose o - 19 = -5*l. Let b(r) = -r**3 + 3*r**2 + r + 3. What is b(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*t. Suppose -48*g - 1 = -49*g. Let r be (1 - 1)\/7*g\/(-2). Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34.2, 26, 3\/5.\nAnswer: 3\/5, 26, 34.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p - 1. Let w be u(-1). Let b be -9*(-3)\/w*-5. Are 9 and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*b, 133671*b - 133843*b = 2*p - 850 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29136353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.16 (b) -0.5 (c) 2 (d) 1 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -651, 3\/7, 15, -1\/5, 1\/6 in decreasing order.\nAnswer: 15, 3\/7, 1\/6, -1\/5, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 12}. Give prob of sequence pypp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 113124002 (base 6) in base 2?\nAnswer: 1000000011010100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 762781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 + 91 + 93 - 33*p**2 + 87.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462913 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 2*s**2 - 9*s**2)*(2 + 0 - s + 0*s) in the form j*s**3 + d*s**2 + c*s + y and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 9930600.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(5\/4))\/b*(b\/(b*b**(-6)*b*b))\/b)**(-38)\/((b**2\/b**(-3))\/(b**(-2)\/(b*b**(-1\/6)*b*b))) assuming b is positive.\nAnswer: b**(-343\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**12*r**(-5\/3)*r**(-1\/3)\/(r**(4\/9)\/(r\/((r*(r*r*r**(-1\/4)*r*r*r*r*r)\/r*r*r)\/r))) assuming r is positive.\nAnswer: r**(101\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -41512 (base 6) to base 9\nAnswer: -7588","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 3, 1064545 in decreasing order.\nAnswer: 1064545, 6, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.65 - -3.\nAnswer: -5.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - z)*(4 - 1 - 5) + (213 + 18*z - 213)*(-32 + 89 + 10).\nAnswer: 1208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 2*x**4 + x**4 + 3*x**4 - 3*x**4 - x**4 + (-1 - 1 + 0)*(-x + 2*x**4 + x) + 2*x**4 - 2*x + 2*x - 4*x**3 + 4*x**3 + 2*x**4.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, 1 j, and 1 a when four letters picked without replacement from yymyyjlllymay?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 8*n**2 - 10*n - 7. Suppose -h - 5*j = 3*h + 26, 4*h - 2*j = -40. Let r be w(h). Is 6336\/30 + r\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = -3*g + 4, 2*g = 10. Calculate the remainder when 55 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -274442 and -1.04793.\nAnswer: -274443.04793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1 + 26*w**2 - 2 - 16*w - 2 + 2. List the prime factors of f(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 bigger than 2592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = 5*p, -3*p - 2 = 4*z + 1. Let w be (-2)\/(-6) - 4\/3. Let b = w + 3. Solve -2*y + z*y + 12 = 3*k, 3*y = b*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o**2 - 6*o**2 - 7*o**2 - o**2. Let z(b) = 6*b. Calculate z(g(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1)**2 + 5 - ((2*sqrt(108) - sqrt(108))*-1)**2.\nAnswer: 6 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**7\/84 - l**5\/24 - 7*l**3\/6 - 10*l. Let d(j) be the second derivative of a(j). Find the second derivative of d(p) wrt p.\nAnswer: 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 125 = 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002857432 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by -10 + 126\/9 - -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4139886 to the power of 1\/2, to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4146, -4144, -4140, -4134, -4126, -4116?\nAnswer: -4104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1, -2\/21, 3\/2, -1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**5\/60 + 5*n**4\/24 - 6*n**2. Let p be c(-6). What is the highest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 6920826?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1356 - -1328. Put 1, x, 21 in increasing order.\nAnswer: x, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from berbbbbcbrcurwr. Give prob of picking 1 e, 1 w, 1 u, and 1 c.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 9*x**2 + 9*x - 1. Calculate l(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4069871 take away -22126?\nAnswer: -4047745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-4)*i)\/i)\/(i**5\/i))\/(i**5*i*i*i*i**(-2)))\/(((i*i\/i**(-2\/3))\/i**(-6))\/(i**(-2)*(i*i\/(i*i**(-1\/6)\/i))\/i)) assuming i is positive.\nAnswer: i**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18 + 2 - 1 + 28*r**2 wrt r?\nAnswer: 56*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 17*p + 72 = 14. Suppose 2 + 3 = l. Solve -f + l = -p*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + -1 - (-297 + 218)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -293, -619, -1075, -1667, -2401?\nAnswer: -3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-5))\/((-45)\/(-4590)*-34)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012301 (base 5) in base 12?\nAnswer: -16775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1976, -1972, -1960, -1934, -1888?\n\"Answer: x**3 - 2*x**2 + 3*x - 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - 2*sqrt(190)*-1 - sqrt(190)) + sqrt(190) + sqrt(190))\/(-4*sqrt(90)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (873\/388)\/(3375\/60)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -881873*g**2*l - 34*g*l + 1795*g + 2 wrt g.\nAnswer: -1763746*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1009, -1\/3, 3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 281525.09 plus -6?\nAnswer: 281519.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2831*u - 1213*u - 1451*u - u + 0*u + 3*u + (-3*u + 3*u + u)*(0 + 0 + 1).\nAnswer: 170*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = s - 17, -4*h + s - 9 = -28. Suppose 4*f = -x - 101, 0*f - h*x = f + 29. Let m be (-8)\/(-10)*f\/(-10). What is the biggest value in 0.5, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 - 5*l + 9. Let a be x(4). Factor 1 - 4 - s**3 + 3*s + a.\nAnswer: -(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 250, 374?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91\/2 + 44. Suppose -425*d - 2856 = 289*d. What is the fourth biggest value in d, -2, y, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -86, -81, -74, -65?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1013, 2016, 3031, 4064, 5121, 6208, 7331, 8496?\n\"Answer: x**3 + 996*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567304 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: Is 1347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.18 + -0.18. Let r = -2877.171935 + 2868.172. Let j = r + a. What is j rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*c + 8 + 32 = 0, -4*c + 24 = -2*s. Suppose -4*q + 12 = -0. Put s, -3, q in increasing order.\nAnswer: s, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6021*n**2 - 14249*n**2 - 19877*n**2.\nAnswer: -40147*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 + 0*r - 4*r + 6*r + (-6*r - 2*r + 2*r)*(-2 + 2 - 1) to y*r + m and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d**3*j*p**2 + d**3*j*p + 274*d**3 + 685*d**2*j*p**2 + 3*d**2*p**2 + d*j - 2*j*p wrt d.\nAnswer: -42*j*p**2 + 6*j*p + 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**11*l)\/l)\/(l\/l**6*l)*l**(-1)\/l**(2\/19) assuming l is positive.\nAnswer: l**(264\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -1 + 2*x**2 + 4*x + 1\/3*x**3. What is the units digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 17*i + 118. Calculate r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*a + 1. Suppose g = -g + a. What is the smallest common multiple of g and 115?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140121 (base 5) in base 2?\nAnswer: -1011000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18578*u + 3 + 5 - 12 - 18324*u to the form p + o*u and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 87?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*r - 2*r**3 + 16\/5 + 2\/5*r**5 + 4\/5*r**4 - 4*r**2 = 0. What is r?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 58*t + 1. Let s be z(2). Suppose 2*g = g, 3*d - 5*g = s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3796)\/(-584)*(29 + 1 - 0). Suppose 13*p - j - 143 = 0. What is the remainder when 307 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644*a**4 + 10901900*a**3 + 49983416*a**2 + 47413456*a - 17881248 = 0. Calculate a.\nAnswer: -66\/23, -2, 2\/7, 16933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 218 = -42. Suppose -3*l = 18 + 21. Let m = p - l. Solve 2 = -m*i + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-91))\/(4\/(-14))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 - 179 = -2*j. Let x = 4579 - 4570. Suppose x*r = -29 - j. Which is smaller: r or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l + 6. Let n(q) = 1450*q + 377. Let x(t) = 6*n(t) - 377*v(t). Let k(j) be the third derivative of -j**5\/30 + 147*j**2 + 1. Give k(x(h)).\nAnswer: -1682*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:10 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(22)\/sqrt(44).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let f(i) = -4*i**2 + 7*i - 227571. What is y(f(c))?\nAnswer: -8*c**2 + 14*c - 455142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 f when three letters picked without replacement from fffffffe?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 27*f**2 + 21 - 18 + 20 + 47*f + 2*f**3. Let m be u(25). Is -56 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 394, 1003, 1612, 2221, 2830, 3439?\n\"Answer: 609*t - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*n + 0*n + 1 + 4*n**2 to the form h + q*n + d*n**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 275760151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -301 + -1.81550651.\nAnswer: -302.81550651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 13*f - 6. Let q be h(-7). Suppose -5*c + 5*s + 15 = 0, c - q = 2*s + 2. Suppose 2*x = 5*x + 9. Put 1, x, c in decreasing order.\nAnswer: c, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257391 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 8*b + 432 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1232 and 4.338009.\nAnswer: 1236.338009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*w + 173 = 0, -6*i - 4*w = -7*i + 170. Calculate the smallest common multiple of i and 20.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 14. Let a(f) = -3. Calculate 9*a(j) + 2*t(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2330?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 9*t**2 - 7*t + 10. Let s be f(-8). Let x(n) = -97 - s*n + 97 + 9*n. Give x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94279 (base 12) in base 14?\nAnswer: -50953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*z = 312999, 4*r + z - 240078 = 385875. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83166049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 611 + 608. Let z(s) = -13*s**2 + s + 1. What is z(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1024.\nAnswer: 2, 3, 1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -13*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.417936 minutes in weeks?\nAnswer: 0.0006367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - -53?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6905?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-80))\/((-12)\/80).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/15 + -6)\/(-18 + (-1448)\/(-80)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**3 + 2*u**4 - 2*u**3 + 2600 - 216*u + 9*u**3 + 34*u + 926 wrt u.\nAnswer: 8*u**3 + 18*u**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 26*j**2 - 184*j + 15. Let x be q(7). What is the third smallest value in -0.4, 0.4, 14, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 1 f when three letters picked without replacement from {f: 4, l: 4, b: 3, o: 1, g: 2, z: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -148*q - 64*q - 11 + 55*q. What is the units digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 43 + 8 = 3*g, -18 = -y - 2*g. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 o when three letters picked without replacement from {s: 11, u: 1, t: 5, o: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (2 - -11 - (38 + -36) - 1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13110159193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 13*t - 3. Let r be n(-8). Let h = -36 - r. What is the remainder when h is divided by (-20)\/8*(-4)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 40, 37, 34, 31, 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/61070 and -37\/592379.\nAnswer: 5923790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 300\/78 + 4\/26. Suppose o - 3*j = -1, 0*o + 3*j = -t*o + 11. Let n be 1\/o + (-5)\/10. Solve l + l + 6 = n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 2. Let h(l) be the third derivative of 1\/6*l**3 - l**2 + 0 + 0*l. Let k(s) = 2*h(s) - q(s). Let b(i) = -i. Determine k(b(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24302 - -1041?\nAnswer: -23211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -1, 0.1, -0.5, -175\/3, -1\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -39?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7*w = -4*s - 12, -12 = 4*s. Suppose w = y - 1, k - 4*y = y + 906. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3824820 and 83\/94440.\nAnswer: 7649640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ttbbtbtttbtb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9 + 4?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 10*k**2 - 13. Suppose 39*x + 11877 = 28725. Calculate the remainder when x is divided by t(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6538*a**3*h*u + 4*a**3*u + 14*a**2*h - 22*a**2*u + 15*h*u wrt a?\nAnswer: -39228*h*u + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105182 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2. Suppose -3*l + 5 = -4. Suppose -l*d = 5*d - 40. Let n(m) = -8*m**2 - 10*m + d*m + 5*m. Determine g(n(s)).\nAnswer: 384*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 5*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**5 + m**2 - m. Let r(h) = 4*h**3 - 1 + 2*h**4 - 7*h**2 - 8*h**5 - 3*h**2 + 1 + 4*h + 2. Let o(p) = 6*c(p) + r(p). Factor o(d).\nAnswer: -2*(d - 1)**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19573376, 19573378, 19573380, 19573382, 19573384, 19573386?\nAnswer: 19573388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2. Let c(j) = -3*j + 7. Give m(c(v)).\nAnswer: -36*v**2 + 168*v - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 2*q. Let u be ((-6)\/(-10))\/(-5 + q). Suppose g + 1 = 2*g. Does u = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-6)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-112))\/((125\/(-50))\/(-10*1))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 3*t**2 + 166. Determine j(0).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.4 or -68.236?\nAnswer: -68.236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/161 and -8\/1389.\nAnswer: 223629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:14 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873980 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 - 204. Solve -3*m = 5*d - 2*d + 6, 0 = 4*m + p*d + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let t(v) be the third derivative of 2*v**5\/15 + 2*v**2 - 88. Calculate t(h(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266127595\/60947054 - 25\/140431. Let b = 18\/31 - d. Let c = 12\/11 + -335\/176. Find the common denominator of b and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905135?\nAnswer: 3, 5, 107, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/726754 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6983 (base 10) to base 14\nAnswer: -278b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 4*m + 9. Let c(n) = n**2 + n + 1. Let f(u) = 6*c(u) + l(u). What are the prime factors of f(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8170 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (365\/90)\/((-24)\/(-36)) and (-1)\/(-2) + 1497\/(-2124)?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3920\/(-63))\/35 - 2\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 6*h - 2. Let u be i(6). Let p = 1.5 + -1. Which is the nearest to 2\/9? (a) -0.5 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -9. Let v be y\/(-12) - (-39200001)\/(-4). What is v rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2\/2 + 4947*m\/2 + 7407 = 0. What is m?\nAnswer: -1646, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7697 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/22, 1, 0.3, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 2)\/(((-280)\/(-612))\/(-35)). Which is smaller: -478 or g?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -1. Let g(w) be the second derivative of w**4\/4 + w**3\/3 + 3*w**2\/2 - 7*w. What is the smallest common multiple of b and g(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 54*f - 17480\/3*f**3 + 2712*f**2 + 3200*f**4.\nAnswer: 2*f*(10*f - 9)**2*(48*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 35*l**2 + 37*l + 30. What is f(-36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m - 27*m = -546 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*f + 375 = -51*f. Calculate the remainder when 805 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-10))*(m\/(m**(-19)*m)*m)\/m assuming m is positive.\nAnswer: m**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133098926 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -321*f**4*w**2 + 3*f*w**2 - 11*f - w**2 + 2120*w - 3 wrt f?\nAnswer: -1284*f**3*w**2 + 3*w**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101101111101000010101 - -11?\nAnswer: 111101101111101000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 4:03 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/h*h*h*h)**(4\/43)*h**(5\/4)*h\/((h*h**2)\/h))\/(h\/h**1*h**(-4\/7)*h*h*h\/(h\/(h\/(h**8*h)))*h*h*h*h*h\/(h\/(h**(2\/3)*h)*h)) assuming h is positive.\nAnswer: h**(8551\/3612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58113473.\nAnswer: 11, 5283043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3*h + 4*h + h.\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 + 0*h**4 - 4*h**4 + (8*h**2 - 10*h**2 + 3*h**2 - h)*(0*h - h + 3*h)*(0*h - 3*h - 2*h).\nAnswer: -14*h**4 + 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**2 + 2 - 2. Let j(q) be the first derivative of -4*q**3\/3 - 239. Calculate j(k(z)).\nAnswer: -324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(10\/(-20) - (-42)\/(-4)). Let b(g) = -g**3 + 16*g**2 - 15*g - 8. Let x be b(15). Let c be z\/((-44)\/x)*13\/2. Solve 0 = -5*d + 3 - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/11)\/(w**(1\/8)\/w*w))\/((w*w**(-3))\/(w*w**(-16)\/w*w)))**(5\/3) assuming w is positive.\nAnswer: w**(-5935\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*w**2 - 10194 + 10194.\nAnswer: 127*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-22 - -9) - (10 + -7) - 36\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 15440101.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = -0*v. Suppose -46 + 276 = -v*m. Let z = m - -93. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 2*r - 118, 875*s - 878*s = -5*r + 79 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slgl when four letters picked without replacement from mmsllsssgsss?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 734144?\nAnswer: 2202432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b - 109 = 53. Let y(r) = 5*r**2 - r - 1. Let m(u) = u + 1. Give b*m(x) - 3*y(x).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, w: 2, z: 1, y: 1}. What is prob of picking 1 w and 2 x?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110101100110010111110 - -110?\nAnswer: 10010110101100110011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4734, -9241, -13748, -18255?\nAnswer: -22762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 10a4425?\nAnswer: 10a4427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Let g(c) = -c**2 + 9*c - 6. Let b be g(8). Let u = b + n. Let x(y) = 1. Let m(d) = -d**2 - 5. Determine u*x(v) + m(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + 44\/16. Suppose -3*c + 28 = 5*l, b*c + 0 = -2*l + 4. What is the second derivative of l*a**2 - a + 2*a - 3*a - 2*a wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-4)\/(-6) + 5). Let w = -1 - -1. Solve -3*n + t - 2 = w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3575*s + 256. List the prime factors of p(-1).\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106020 and 123690?\nAnswer: 742140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/(-39))\/((-1)\/(-3351)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/20 - 9*c**4\/4 + 17*c**3\/2 - 6*c**2 - 19*c. Factor f(j).\nAnswer: 3*(j - 17)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 + 1 - (23 + -16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -157*j**4\/4 - 2*j**3\/3 + 39*j**2 - j - 29. Find the third derivative of a(s) wrt s.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828399840 to the power of 1\/3, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*i + 2 = -2, 4*d - i = -9. Let k = 6 + d. What is the least common multiple of k and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(117))**2 + sqrt(117) - sqrt(117)).\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5700*y**3 + 5691*y**3 - 11395*y**3 + 28 + 15.\nAnswer: -4*y**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2988\/(-135)*(-6)\/16 and 71\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and -218.591.\nAnswer: -218.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87016 and 298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.4273 in -0.1, -1.02, 1\/3, 3?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -316 at most -408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -t - 8, 4 + 5 = 3*t + y. Suppose 5*p = -t*r - 220, -r + 132 = -3*p - 2*r. Let d = -34 - p. What is the least common multiple of d and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from gggggggggxxgxtg?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**4\/4 - 15*p**3\/2 - 156*p**2. Find the first derivative of h(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j - 22. Suppose -y - 3*h - j = 0, y - 18 = -y + 2*h. Suppose 5*q - 5 - 28 = -d, y*q - d = 21. 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: Divide -804 by 21455.\nAnswer: -804\/21455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -385 - -416. Suppose 39*g = u*g + 56. Solve 0 = -2*s - 5*s - g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 34*p - 5. Let a = 34 + -51. Let f(j) = 100*j - 14. Let c(m) = a*y(m) + 6*f(m). Let k(b) = -b**2. Calculate c(k(q)).\nAnswer: -22*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-13 - -26) - 20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 278.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 709*u**6 - 105*u**2?\nAnswer: 85080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 2*r - 20*r. Suppose -k = k - 4. Find the third derivative of -4*b - r*b**4 + 12*b**2 - 16*b**k + 4*b wrt b.\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 17*o)*((-30*o - 40*o + 26*o)*(0*o + 3*o - o) + 5*o**2 - 2*o**2 + 0*o**2).\nAnswer: -1445*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -2d7?\nAnswer: 2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-2)\/(-76)). Let n = 5 - p. Let w(y) = -y**3 - 14*y**2 - 3*y - 18. What are the prime factors of w(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -0.3. Let y = 104.84 + 2.16. Let w = -95 + y. Is w <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28088 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12 - 218*w - 10*w**2 + 429*w - w**3 - 213*w. Calculate g(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 14.5. Let q = r + 2. Let c = 0.0586 + -3.0586. Put c, q, -1\/4 in descending order.\nAnswer: -1\/4, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u. Let j(l) = l**2 + 5*l + 15. Let s(z) = 2*z + 7. Let k(q) = -2*j(q) + 5*s(q). Let g(x) be the first derivative of k(x). What is 5*g(a) + 8*r(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n + 0*n**4 - 8 + 0*n**2 + 2\/65*n**5 - 2\/39*n**3. Factor o(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*v = 860, -7*r + 5*r = -5*v - 330. Suppose 2*i = r + 336. What are the prime factors of i?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1819924801 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -82. Let c = r + 69. Solve 6 = -c*p + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20063 + -60181\/3. What is d in -8\/3*d + w + 2\/3*d**3 - 2\/3*d**2 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 8, 0 = 5*o - 5*z - 100. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -15*a**5 + 5850985*a**4 - 15602535*a**3 + 5850935*a**2 + 3900630*a = 0.\nAnswer: -1\/3, 0, 1, 2, 390063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.9 - 3.1. Let m = -12 - i. Let c = 0.3 + -0.4. What is the nearest to -2\/5 in m, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:41 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1331) + 0)**2*-1 + (sqrt(1331) - (sqrt(1331) + (sqrt(1331) + sqrt(1331)*2*4)**2) - sqrt(1331) - (1 + sqrt(1331) + -4)))*-6.\nAnswer: 132*sqrt(11) + 654834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6038723 is divided by 2012480?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -274270230 - -2?\nAnswer: -274270226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 18 = -6. Suppose 2*f - 11 = y + d*f, -y - 16 = 3*f. What is the tens digit of y + 41 - (-2 - 0\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 124 = 10*d. Let f = d + 21. Let i(g) = -g**2 - 13*g + 8. Let t be i(f). Calculate the greatest common divisor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 38*i. Let f(o) = -85*o. Let c(t) = -4*f(t) - 9*w(t). Let r(u) = -3*u**2 + 26*u + 1. What is c(r(n))?\nAnswer: 6*n**2 - 52*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 2. Let q be -2*((-5)\/2 - -4). Let z(n) = -2*n**2 + 3. Calculate q*m(r) - 2*z(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 333270 (base 8) to base 13\nAnswer: 3c175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 19.1. Let m be (-8)\/(-1) + 195\/(-25). Sort -25, f, m in decreasing order.\nAnswer: m, f, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 414 in 5, -4.9, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*7)\/((-11)\/(-319)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygbyyveehhh. What is prob of sequence hh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5243, 5241, 5239, 5237?\nAnswer: 5235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 4*d + 12. Let w be (102\/12 - 11)\/((-3)\/6). Let l(o) = -4*o**2 + 5*o + 12. Give w*g(c) - 4*l(c).\nAnswer: c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3492, 17, 27 in increasing order.\nAnswer: -3492, 17, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (377\/(-58))\/((-2)\/4). Let m(u) = 8*u**2 - 10*u + 139. Is m(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 - 34 = 7*k. Let r be 2 + (4 - 8) + 2. Sort 3, k, -4, r in descending order.\nAnswer: 3, r, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2846568377 to the power of 1\/2, to the nearest integer?\nAnswer: 53353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 524497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u + 1 + 347*u**4 + 12*u**2 - 1271*u**4 - 1 - 9*u wrt u.\nAnswer: -22176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316815 is divided by 96?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/3)\/(6\/(-27)). Let a be ((-8)\/j)\/(2\/(-6)). Suppose -a*x + 1 = -11. Solve 4*c = -x - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3016 - -4672. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y**3 + 0*y + y + y + y**3 as v*y**2 + g*y + r*y**3 + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1238665 and -1.\nAnswer: 1238665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 1, r: 1, a: 1, q: 1, h: 2}. Give prob of sequence qar.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.667 + 280.\nAnswer: 288.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 10*h**2 + 208*h - 128. Let u be g(20). Let i(w) = -8*w + 262. Determine i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 7*d**2 - 2*d + 5. Let l = 50 - 43. Give b(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 117, 4, 1 in ascending order.\nAnswer: -35, 1, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/2 - 232*g**3 + 33943*g**2\/2.\nAnswer: g**2*(g - 373)*(g - 91)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 953?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = 4*t. Let f(v) = -7 - 2*v**t - 5*v**2 + 8 + 3*v**3. Is f(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = 8. Let z(f) = f - 1. Let m(t) = -3*t**2 + t + 1. Let c be m(1). Let l(h) = -h**2 - 4*h + 4. What is c*l(s) + j*z(s)?\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 + 514. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -63. What is the remainder when (-1)\/(-7) - 9891\/m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - f. Let a(w) = -3*w**3 - 28*w**2 - 45*w - 20. Let v(y) = a(y) - d(y). Factor v(p).\nAnswer: -4*(p + 1)**2*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 - 30 = 7*g + 4*r, 0 = 4*g + 4*r - 152. Calculate the remainder when 3\/2 - (-137)\/2 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 4, j: 2, c: 2, p: 1, r: 3}. What is prob of sequence jwc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4298*v - 358*v**3 - 4298*v.\nAnswer: -358*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*q + 4 - 4 + q**3 as d*q**2 + x*q**3 + y + i*q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -5*v + 12. Calculate the common denominator of 133\/24 and (-106)\/v + (-2)\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9)*10\/(-2). Let s be ((-8)\/(-24))\/(-1*1). Let i = 1 + -1. What is the closest to s in g, i, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -14, -3\/334, 1, 2, -16?\nAnswer: -3\/334","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**3 - 150*i**2 + 792*i - 80. Give o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/2 - 2610211*k\/2 + 2610213 = 0. Calculate k.\nAnswer: -2610213, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 42 = 17. Suppose 4*q - 12*q + 40 = 0. Solve -q*y + 5 = -z*l, -l + 0*y + 5*y + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 + 6*t**2 + 7. Let r(p) be the first derivative of -p**4\/4 - 2*p**3\/3 - 2*p + 2. Suppose 4*k = 13 - 5. What is k*h(i) + 7*r(i)?\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 48, 213, 542, 1089, 1908?\nAnswer: 3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*((-99)\/(-22))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - 63. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*q - 7*h + 4*h, 17 = q + 2*h. Let p = q + 8. Let t = -71 + 122. What is the highest common divisor of t and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231 + 241 - (22 - -6) - 16.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020220212012011 (base 3) to base 11.\nAnswer: -a1a2927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/13195598 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5601972, 5601982, 5601992, 5602002, 5602012?\nAnswer: 5602022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -468*r - 103. Let j be (1 - 6) + (4 - 5). Is x(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 11. Suppose i = 58 + q. Suppose -5*z = -i - 123. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14095530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 less than -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 710.2260855 + -967.22607735. Let m = -257 - a. Round m to 7 dps.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 7. Suppose -o*t + 207 - 63 = 0. Is 730\/4 - 24\/t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 54*r**2 + 511*r + 57. Determine b(25).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 1\/168*o**8 + 0*o**4 + 0*o + 0*o**3 - 13\/210*o**7 + 1\/5*o**6 + 29*o**2 + 0 - 3\/20*o**5. Factor f(s).\nAnswer: s**2*(s - 3)**2*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9290 is divided by 3072.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083059 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260749 or -260748?\nAnswer: -260749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -3\/8 (c) 1 (d) 11.932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.68 * -23273.86\nAnswer: -15826.2248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 973 or 972?\nAnswer: 973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -39.5?\nAnswer: -39.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52691170 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**3*x - 10*n*q*x**2 - 124*n*q - 4*q*x**2 + 103*x**2 wrt n?\nAnswer: 6*n**2*x - 10*q*x**2 - 124*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41246192*n**2*y**3 + 23*n**2*y + 2*n**2 - n*y**3 + 2*n*y**2 + n*y - 4386*n - 49*y wrt y.\nAnswer: -247477152*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13980436.\nAnswer: 2, 29, 191, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 500, 496, 482, 452, 400?\n\"Answer: -c**3 + c**2 + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -26. What is the derivative of -44*q + 44*q + 47*q**w + 18 - 65 wrt q?\nAnswer: 94*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 - (-120)\/((-30)\/(-3)). Sort 4, t, -314 in decreasing order.\nAnswer: 4, t, -314","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -10. Sort -4, b, -8.\nAnswer: -8, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 13*j = 5, 5*l - 25 = j. Suppose l*w = 6*w - 32. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -14*q + 392. Suppose 11*b + 5*j = 13*b + 8, 0 = -5*b + 4*j + q. Solve -d = -5*m - 0 - 16, -3*d = 3*m + b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 - 127*o**2 - 4731*o - 42237 = 0 for o.\nAnswer: -57, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + i = -8, 4*y - 105*i = -100*i + 41 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613563729?\nAnswer: 3, 41, 4988323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28715 is divided by 9555.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -8*j**7\/7 + 9*j**3 - 6. Find the third derivative of v(i) wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2745 (base 8) to base 9.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.175 + -3.125. Let w = 3.19 + q. Which is the biggest value? (a) -4 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 11409590 + 11409528 - 22819118.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*(-1)\/(-11))\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 458119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -511 (base 6) to base 15\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133 - 177. Put 1, -1\/2, h, 1\/3 in increasing order.\nAnswer: h, -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*1)\/(sqrt(55)\/(1*sqrt(5))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -39\/5 (b) 2\/7 (c) 0.1 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2, -2, 33, -5 in descending order.\nAnswer: 33, 20, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 + (1456 + 0)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 16521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 10:37 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 4968 = -7*n + 5656 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -0.55.\nAnswer: -11.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.0131 (c) -1\/11 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**3 - 5*i**2 + 23*i - 21. Let b be c(1). Solve 14*t - 20*t = -3*y - 45, -10 = -b*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 42\/105 - 3\/(15\/(-253)).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5890566619.\nAnswer: 7, 841509517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - o + 16 + 11 = 0, -5*o - 27 = -2*v. Let y be (v - 2)\/(2 + -4). Calculate the remainder when 17 is divided by 1\/((-3)\/60*y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 i when four letters picked without replacement from iiiiiuuii?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3703*k = -3718*k - 27 - 33. Which is the nearest to -35? (a) k (b) 3 (c) 0.04 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-30)\/18))\/(2 + (-161)\/91).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 8*g**2 + 2*g - 8. Let n = -87 - -143. Suppose 34*r = 27*r + n. Calculate j(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28857, -2.647, -3 in decreasing order.\nAnswer: 1, -2.647, -3, -28857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 652602*z**2 + 4355751 wrt z.\nAnswer: 1305204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*v - 318 = 810 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 29*y**9\/3024 - y**5\/120 + y**3 + 14*y. Let z(k) be the second derivative of a(k). Find the second derivative of z(x) wrt x.\nAnswer: 580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 159, 205, 273, 351, 427, 489, 525, 523?\n\"Answer: -2*j**3 + 23*j**2 - 9*j + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1769631 and 3751882?\nAnswer: 5521513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/(c*(c\/c**8)\/c)*c)))**(2\/93) assuming c is positive.\nAnswer: c**(20\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f + c?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 682.\nAnswer: -1\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 20 = 76. Let r be ((-3)\/(-2))\/(y\/(-232)). Solve -4*c = -2*d + 10, -d - 2*d - r = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + (-3 - (-5 + 5)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 5*u. Calculate c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53973936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*q + 292 = -238, -4*l - 2*q = -510. What is the highest common factor of l and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (836*q - 4*q**2 - 431*q - 350*q)*(-4 - 2 + 9) - 1 + 2*q**2 + 1.\nAnswer: -10*q**2 + 165*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-21)*(-1624)\/87.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1922 and 7874?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*y - 388, -2*y - 4*l = 410 - 12. Let u = 137831\/6 + -1806533\/78. Let w = y - u. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 127. What is the closest to i in -2\/7, 84, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -4. Let p = 8 + u. Suppose 2*c - 1 = p. What is the lowest common multiple of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n - 40 = 0. Let t be (n\/6)\/(0 + -4). Let q = 56 - 52. Which is the nearest to 2\/7? (a) 3 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4\/2 - 153*j**3\/2 - 285*j**2\/2 + 441*j\/2 = 0.\nAnswer: -49, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1110110001101111001100 (base 2) to base 11\nAnswer: -2206442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z + 126. Suppose -17*b - 60 = z. Let u(i) = i**2 + 6*i + 1. Give u(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (138\/(-5))\/(12\/(-80)). Suppose -14*i + b = -13*i. Calculate the highest common divisor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 5*f + 2*f)*(44*f - 30*f + 68*f).\nAnswer: -410*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 - 3. Let b be (-304)\/(-72) + 1 + (-4)\/((-4)\/(-5)). What is the biggest value in b, s, 65, 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51876*j**3*y**2 + j**2*y**2 - 21*j**2*y + 24*j*y**2 - 16 wrt j?\nAnswer: 311256*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 86 + ((-8)\/(-20))\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 + -100. Suppose 6253 - 2916 = 564*l - 12455. Calculate the greatest common divisor of l and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4038044382 to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2784 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 10:26 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose -w + 7 = -0*w + s, -n*w + 33 = 5*s. Suppose -2 = -0*y - w*y. Is 4\/3 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + n**2)*(-4 + 3 - 2)*(n + 2*n - 5*n)*(4 + 7 + 11).\nAnswer: 132*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 24 = -4*i + i, n - 2*i - 11 = 0. Suppose -3*p + 4*t = 3*t - 120, 5*t - 160 = -4*p. What is the greatest common divisor of p and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - 24. Let x = 53 + g. Let o = 15.01 - x. Put -3, 2, o in decreasing order.\nAnswer: 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80.86 + 82.86. Put -0.13, 2\/7, p, 0.2 in decreasing order.\nAnswer: p, 2\/7, 0.2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*1629\/(-362)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 35. Let s = -43 + 28. Let o be t(s). Suppose 0 = 2*k - 6*k - 20. Is o less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -1490*g + 1483*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1351.35346 - 0.05346. What is n rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 1, -0.2, -4 in descending order.\nAnswer: 1, -0.2, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 6*q**2 - 11*q - 7. Suppose 0 = -o + r - 5*r - 6, -4*r - 10 = 3*o. Let k be x(o). Solve -z + 25 = 5*j, -4*j + z + 4 = -k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615521881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y, 2*t + 4*y - 56784 = 2*y. Let b = 39893 - t. Suppose 5*m + 0*m = -b. What is m rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 62. Let o = h + 43. Let p = 17.0000011 - o. What is p rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*b*i + 3*b - 244*i - 1 wrt b.\nAnswer: 40*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n + 3. Suppose -4*j + 3 + 17 = 0. Suppose -j + 11 = -3*k. Let x be 3*k*(-5)\/(-10). Determine q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/21))**(-32)\/(w*w**(-42)*w*w\/w**(3\/17)) assuming w is positive.\nAnswer: w**(1474\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -34*u - 53 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61856 + 97147. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (sqrt(320)*-1)**2 + -3 + 2)*4 + (-3*-3*sqrt(320) + (sqrt(320) + -3 + sqrt(320))*2)**2.\nAnswer: -1216*sqrt(5) + 55392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + g - 3. Let s be t(-3). Let y(h) = 2*h - 12 + 40 - s. Let m(w) = -3*w - 11. Calculate -5*m(z) - 8*y(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*d - 5*d. Let k = 6 - d. Suppose 2*a - 74 = -72. Which is greater: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -358\/9 + 40. What is the nearest to -3\/5 in -0.4, c, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2251765 and 4953883?\nAnswer: 24769415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/528 and 23\/88?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 1197.\nAnswer: 10\/1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15372, -1, -11, 5 in decreasing order.\nAnswer: 15372, 5, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 44 = 16. Let r(v) = v**2 - 35*v + 14. Let g be r(35). Let d = z + g. Solve -5*o = d + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.0063 + -0.0063. Sort -3, l, -0.2 in decreasing order.\nAnswer: l, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, n: 7, s: 2, w: 1}. What is prob of picking 1 n, 1 g, and 1 s?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 10829012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**3 + j**2 + 3. Let o(y) = -y**3 + y**2 + y. Let t(i) = -6*o(i) + r(i). Let g be 3\/18 + 506\/(-12). Let q = 48 + g. Determine t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33685500?\nAnswer: 2, 3, 5, 17, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/33 - -4 - 28\/(-88). Factor -1\/4 + g*t - 1\/4*t**2.\nAnswer: -(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195412 + -2344871\/12. What is the common denominator of r and (-4)\/(-30)*(-19)\/6?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 20*x - 140. Calculate the lowest common multiple of 7 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*x + 8*x + 2177 = 0, -3*w + 4*x = 1319. Let g = 444 + w. Solve 10 = -3*b + g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 5*z**5 + 3*z**5 + (-2*z - 2*z**2 + 2*z)*(-1 + 1 + 2*z**3) + 2*z**5 - 2*z**5 - 2*z**5 + (-z**4 + z**4 + 4*z**4)*(-6*z + 3*z + 2*z).\nAnswer: -11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 4556\/306 + -24?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532504499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 148*h - 146*h - 4, -5*h + 15 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*b + 11 - 5 + b**2 in the form u + i*b**2 + c*b and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 160900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 - 514?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y*(y\/(((y**(2\/15)*y)\/y*y)\/y))\/y)**(-6)*(y\/(y\/(y*((y**3*y)\/y)\/y*y*y))*y)\/y**4*(y\/(y**(-2\/7)\/y))\/(y\/(y\/y**(1\/4))) assuming y is positive.\nAnswer: y**(47\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2623.97 + 2637. Let i = y - 13. Let p = i + -5.03. Which is the nearest to 0? (a) p (b) 6\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4907261\/55 - 89599. Let m = -1352339\/770 + p. Let o = 2135 + m. What is the common denominator of o and 123\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 190\/(-90)*(-1 + -14). Let i(l) = 2*l**2 - 8*l + 7. Let u be i(6). Let g = u - o. Which is the third smallest value? (a) 3 (b) 1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3374, 10, 53 in increasing order.\nAnswer: -3, 10, 53, 3374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 3. Let z(u) = u + 6. Let t be z(-6). Let m be f(t). Solve -m*x - 5 = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.5524245\nAnswer: -0.15524245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 791076 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (-4 - (-6 - (1 - 6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 5*a + 14, 15*b + 180 = -150*a + 153*a for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 564 + 282 = -6880*c + 6930*c, -2*c + 5*j = -54 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 59 = n + 9, 5*j - 4*n - 85 = 0. Solve 67 = -21*d - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1078 and 21\/22.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12626200 + 5?\nAnswer: -12626173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 2, 22, 50, 80, 106, 122, 122?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1666\/(-357)*(-3)\/2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*x + 19, -2*a - 2*x - 14 = -3*a. Suppose -5*o - 49 = -a*i - 0*o, 3*i + 5*o = -7. Solve -5*g - 4*v = 1 - i, -5*v + 13 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbqr when four letters picked without replacement from {q: 2, s: 2, j: 4, b: 1, r: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, x: 1, v: 5, t: 5}. What is prob of picking 1 v and 2 t?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - (1 - -3))*140\/(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-165) + -2*1\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -12, -37, -74?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*r**3*u**2 + 1332*u**2 with respect to r.\nAnswer: 108*r**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 8. Let o(u) = 7*u + 7*u**3 - 5*u**2 + 9*u**2 + 7*u**2 - 5 + u**3 - 7*u**3. Is o(p) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26123604 (base 9) to base 13\nAnswer: -28726a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**3*z + 160*o**3 + 22*o**2 + o*z - 5*z wrt o?\nAnswer: 6*z + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiil when four letters picked without replacement from iqlkkliqkqqqqkl?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000082 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -100470.56 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32881264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p - 1315. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + 0.23. Suppose 0*k - 19*k = 19. Which is the nearest to k? (a) s (b) -2\/15 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 695145150 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 3. Let q(i) = 10*i**2 + 14. Let w(o) = 14*p(o) + 3*q(o). Let m(r) = -382*r + 768*r - 373*r. Give m(w(h)).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x + 3*x + x)*(-2*x + 3*x**2 + 2*x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 28400 - 28400.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2873*v - 105955 + 11146 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -62*z**2 - 2169*z + 153. What is q(-35)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 22*m - 16. Let k be l(2). Which is the nearest to -1? (a) k (b) 1\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 8*q + 30 = -7*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23913003, -23913002, -23913001?\n\"Answer: q - 23913004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 1. Let a(m) = 8*m - 2. Calculate -a(o) + 6*g(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - n - 2. Calculate b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 133*((-170)\/35 + 4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 13. Let z(w) be the third derivative of -w**4\/8 - 5*w**3 + 4*w**2 - 587. Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -55139*b - 63579. Let c(v) = -11035*v - 12716. Let y(z) = 16*c(z) - 3*r(z). What is the first derivative of y(m) wrt m?\nAnswer: -11143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Let f(i) = 294*i + 683*i - 126*i - 29*i. Determine f(c(z)).\nAnswer: -822*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107036.\nAnswer: 2, 26759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -47*l + 77. Let m(x) = 60*x - 77. Give -3*m(f) - 4*v(f).\nAnswer: 8*f - 77","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + -27. Let m = t + 78.8. Which is the nearest to 1? (a) m (b) 4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + ((-7 - -2) + -3 - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*x = -36, -6*c + 36 = -3*c + 2*x. Suppose 3*h = c, -5*h = 5*q - 2*q - 305. What is the remainder when q is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -273. Let j = -135 - z. What is the hundreds digit of ((-245)\/j - -4)\/((-3)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q = -41*q - 69. Let i = q - 19. Suppose -i*g = w - 46, -19 = -3*g - 3*w + 11. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*x**3 - 194*x**4 + 192*x**4 + 2)*(-3 + 3 + x + (-3*x + 2*x + 5*x)*(2 + 2 - 3)).\nAnswer: -10*x**5 + 20*x**4 + 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*q**2 + 27129722*h*w - 8*q**2*w + 1657*q**2 - 2*q*w + w - 1 with respect to h.\nAnswer: -4*q**2 + 27129722*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4500 to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*x**2 - 3*x**4 - 20*x**4 - 21*x**2 + (-4*x**4 + 2*x**4 + x**4)*(0 + 2 - 4).\nAnswer: -21*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 29, 61, 93, 119?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5515444 is divided by 397?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/2 - -3)*2. Let x be (-4)\/12 + p\/9. Solve -x*i + 5 = -11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*((-12880)\/294)\/46.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*sqrt(539)*-1 + -5)*-4)**2.\nAnswer: -112000*sqrt(11) + 3459600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*n + 215*n = 0. What is the biggest value in 11, -5, n, 1\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 0.07, -3.054, 50, -3 in descending order.\nAnswer: 50, 3, 0.07, 0, -3, -3.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 8*j**2 + 15*j + 55. Determine b(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-18)*3\/(-12). Let c = 0.539 - 0.239. What is the closest to o in -3\/5, 0.2, c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/418884 and 89\/75024.\nAnswer: 5026608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1416.23037 and -0.2?\nAnswer: -283.246074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1063 divided by 4.\nAnswer: -1063\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(720)*2 - 5*(sqrt(720) + -2))*-2)**2.\nAnswer: -2880*sqrt(5) + 26320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 1\/2, -1\/3, -109?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + o - 3. Let z(g) be the first derivative of g**3\/3 - g**2\/2 + 5. Let c(s) = u(s) + z(s). What is the derivative of c(y) wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/7 + 86*v**3\/7 + 1361*v**2\/7 - 2984*v\/7 + 1536\/7 = 0. Calculate v.\nAnswer: -64, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4956 + -54566\/11. Let y = -3\/2687 - -158560\/24183. Calculate the common denominator of y and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**3 + 5*x + 2. Let g(j) = j**2 - j + 1. Let i(b) = -13*b**3 + 2*b**2 - 13*b - 3. Let n(r) = -2*g(r) + i(r). Give 4*n(d) + 9*w(d).\nAnswer: 2*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 - 128. Suppose -4*s = -u + 4, -t*s + 0*s - 3 = u. Solve u = d + 2*f - 2, 5*f + 1 - 21 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/30 - 2*l**3\/3 + 2*l**2. Let c be x(-4). What are the prime factors of 2\/12 + (-714)\/c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + 12*u + 4*d, 0 = -3*u - 3*d + 27. Solve 0 = u*r - 3 - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l. Let m = l - -3. What is the third derivative of 4*h**4 + h**4 - m*h**4 + 3*h**2 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(4*d + 0*d - 2*d) + 2*d + 8 - 8 + 20 - 20 + 4*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30672)\/19170*210\/(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*t + 5074, -12*t = -4*m - 14*t + 10152. What are the prime factors of m?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x. Let d(u) = -u**3 - 3*u**2 - u - 2. Let h be d(-3). Solve x = 3*p - h - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 807. Which is bigger: y or -759?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*v - 121976, -68*v + 152462 = 5*h - 65*v. What are the prime factors of h?\nAnswer: 2, 5, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 1 + 1. Let b(w) = -9*w. Let d be 16\/3 - 8\/6. Let r be (31 - 35)\/(12\/(-3)). Give d*i(y) + r*b(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2664 divided by -111.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-25) - (-696)\/10. Let s be y\/54 + 10\/45. Let t = -1.1 - -5.1. What is the closest to -1 in -4, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 14*u**2 + 7*u + 8. What is the units digit of p(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-60))\/(-3*(-1)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 185 = 9*n. Let x = n - 24. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6523061*a**3 + 2*a**2 - 151536*a - 10 wrt a.\nAnswer: -39138366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (283 - 283 + 5*p**2)*(-45 + 58 + 62) in the form s + j*p + i*p**2 and give i.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/(24004\/(-42007))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -5) + -4 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1515)\/150 - 2\/(-20). Let d(a) = a**3 + 11*a**2 + 5*a - 28. Calculate the remainder when 56 is divided by d(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -95*r**6\/3 + 94*r**2 - 250. Find the second derivative of g(z) wrt z.\nAnswer: -3800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*y + w, -4303*y - w = -4304*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(18 - (-6400)\/(-340)) + 1\/(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from bbaabzvvscba.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 43. Which is the third smallest value? (a) -1 (b) 0.1 (c) 5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v + 3. Let t be a(6). Suppose -4*g + t = -0*h + 5*h, 2*h - 4*g + 10 = 0. Solve 3*c - 3 = -h*l - 1, -4*c = 4*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/24 and -65\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 - 2*i**2 + 16*i - 4. Let l(t) = 3*t**3 + 3*t**2 - 15*t + 4. Let w(d) = 6*l(d) + 5*x(d). Factor w(n).\nAnswer: -2*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**4*y**15)**(-16) assuming y is positive.\nAnswer: y**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13385 = 5*r + 3*j, 0*j = r - 4*j + 2700. Is r\/(-9) - 4\/(-18) 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 -1\/4, 0.5, 0.07, 3, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, 38, -4, 15, 3, -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert d879 (base 14) to base 7.\nAnswer: 213612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210 + -3?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = a - 1, b - 2*b + 7 = -a. Solve -2*g = -c + 3 - 1, 3*c - 4*g - b = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6594.171 times -0.1\nAnswer: -659.4171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2356.36562 to 1 decimal place.\nAnswer: -2356.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/5811 and 109\/78.\nAnswer: 11622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2 + 1762545*r - 8812600 = 0. What is r?\nAnswer: 5, 352504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 8 = 26*u. Let q(a) = 2*a - 26. Let c be q(u). Let y(w) = 2*w - 5. Let k(s) = 7*s - 225 + 209 - s. What is c*y(h) + 3*k(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/((o\/(o*o**(1\/3)))\/o)*o)**50*(o**(-2)\/o)**16*(o**(-8)\/o**2)\/(o**6\/(o**(-2\/7)*o)) assuming o is positive.\nAnswer: o**(4271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177040770 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 12, 2*r - 5*j = -0*j + 23. Calculate the smallest common multiple of 6 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h + 2*h**2 + h + h - 2 + 2*h**3. Determine i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262 - -269. Let u(n) = n**3 - 7*n**2 + 2*n - 9. Let k be u(r). Solve -11*y = -16*y + k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -77. Suppose 16*t - 17*t = -5*b - 54, 5*b + n = 3*t. Let z(w) = -w**2 - 12*w - 1. Determine z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*y - 3*w + 24, 24 = -2*y - 4*w. Let d be (9\/y)\/(-3)*-2. Let h be d*(0 - (-3)\/3). Is -6\/7 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*a + 3*a - 3*a + 207 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2236 + 2236. Let u(m) be the first derivative of -5 - 33\/2*m**2 + 0*m**4 + 29\/5*m**5 + 0*m + q*m**3. Find the second derivative of u(r) wrt r.\nAnswer: 348*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -24*t + 3690. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 6*c - 4. Let p(r) = -4 + 0 + 3*r**2 + 3. Give p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 338*w - 1023.\nAnswer: (w - 341)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2. Let s(h) be the third derivative of -h**7\/1008 - h**5\/15 + 17*h**2. Let k(f) be the third derivative of s(f). What is a(k(u))?\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 3*h - 3*h + h**4 - 18103*h**2 + 18100*h**2 to the form g*h**3 + y + t*h + s*h**2 + j*h**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 182104*-1929.\nAnswer: -351278616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + 2*sqrt(475))**2.\nAnswer: -20*sqrt(19) + 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 3937571.\nAnswer: -15\/3937571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/441160 and 41\/1420320.\nAnswer: 58233120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**2*z + 21827*j*z - 35*j - 4*z + 14573213 wrt j?\nAnswer: 6*j*z + 21827*z - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2514 + 2569.4. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181301 is divided by 3808.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15160 and 3240520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-66)\/297).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*b**3*n**2 + 63*b**3*n + b**2*n + 4*b**2 - 55*b*n - 11*n**2 wrt b.\nAnswer: 606*n**2 + 378*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 24)\/6*(-3)\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -17*z**5\/60 + 1022*z**2. Let a(s) = -18*s**2 + 1. Give -2*a(b) + 3*w(b).\nAnswer: -15*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2476, 2457, 2438, 2419, 2400, 2381?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160824 and 462369?\nAnswer: 3698952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56264 and 3484.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lylrtrrrdlrdytd. What is prob of sequence ltdd?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + 6161?\nAnswer: 6191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/9 + 1253996*b\/9 - 393126492004\/9 = 0. What is b?\nAnswer: 626998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a tonne in kilograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50564*g**2*n**2 + g**2*n - 3*g*n - 26024*g wrt n.\nAnswer: -101128*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-618)\/26 - (22087 - 22114)?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404687113 to the nearest integer?\nAnswer: 20117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*u + 6 = 318*u. Let g be 57400006\/u + 10 + -13. What is g rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1490, -2994, -4498, -6002?\nAnswer: -7506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228717566*x**2 + 18142194*x wrt x.\nAnswer: 457435132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-3*(sqrt(2) + sqrt(6)\/sqrt(3)))*6)\/((sqrt(14) - 3*-2*sqrt(14))\/(sqrt(7) - (sqrt(7)*1*-3 - sqrt(7)))).\nAnswer: -5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -430?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = 3*u, 2*u = -5*i - 3*u - 5. Is -3 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 105*b.\nAnswer: 5*b*(b - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjbbjbstbt. Give prob of picking 1 t, 2 j, and 1 x.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:45 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 - 0.06\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-11*6\/12 - 2)*8\/(-12) and 295\/4 - (-2)\/8?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 14*h + 73. Calculate q(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3 - 3 + 174*z - 172*z. Let b(r) = -16*r**2 + 14. Let a(y) = -y**2 + 1. Let n(k) = -70*a(k) + 5*b(k). Determine w(n(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18338542.\nAnswer: 2, 157, 58403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4765812653 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 14\/5)*(-190)\/(-57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*j - 4448*j - 6841*j.\nAnswer: -12138*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27801 or 27571?\nAnswer: 27571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15234*b + 42. Let y be o(-13). Round y to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 17630?\nAnswer: 17630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a - 10 = -196*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 - k**4\/3 + 7*k**3\/3 + 3*k**2\/2 - 110*k. Calculate l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4.4. Let l = -0.1 + y. Let d = -7 + 7. What is the nearest to d in 4, l, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4635 + -4636. Is a at least -5\/1043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 17 + 20 + (35 - -53).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*x*y**2 - 2949578*f**3*y**3 + f**2*x*y**2 + 44*f**2*x*y + f*x*y**3 - 1260*f*x*y**2 - y**2 wrt y?\nAnswer: -17697468*f**3 + 6*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/389 - -18256\/3501. Let d = 5 - n. Put d, -0.1, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o - 4*o)*(396*o + 7909 - 7909)*(3 - 3 - o + (2 + 1 - 1)*(0*o + o - 3*o)).\nAnswer: 3960*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + k**3 - 8*k**3 - 2*k + 5*k in the form x*k**2 + z*k**3 + a + v*k and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.92058219.\nAnswer: -2.76174657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.033 + -0.033. Let v = -62 + 312\/5. Let w = 0.24 + 0.06. Which is the second biggest value? (a) w (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Let w = -1 - 0. Let a be (-14)\/(-35)*1\/1. Sort w, a, u.\nAnswer: w, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492925 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d01 (base 16) to base 3.\nAnswer: -11120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10723865.\nAnswer: 5, 23, 93251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4, -l - 1 + 3 = 2*a. Suppose 3*f = -5*u - 1 + 2, 0 = u + 3*f + 7. Let j be (-3 - u)*6\/(-5). Solve 0 = -a*y - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/2785 and 48\/6127.\nAnswer: 30635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2384860 is divided by 203.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*y + 40051, 3*u - 4*y = 4*u - 7997. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 310*y**2 + 1365*y + 121680.\nAnswer: 5*(y - 39)**2*(y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 - 1095310*b**2 + 1026277900*b - 240915749000 = 0. Calculate b.\nAnswer: 470, 218122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*x**2 + (2*x - 5*x - 2 - 3*x)*(-2*x - 2*x + x)*(-6 - 1 - 11))*(-10*x + 15*x + 38*x) to the form b*x + h + o*x**2 + u*x**3 and give u.\nAnswer: -14018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68143487231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 298*l**2 + 17301*l + 65. Determine w(-219).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 + 2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131.68 + -131.77071. Round g to 3 dps.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/3395074 and 26\/477?\nAnswer: 30555666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 7*d**4\/24 + 1075*d**2. Let u(z) = -5*z + 9. Determine u(j(f)).\nAnswer: -35*f + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*y - 5*y**4 - 5*y + y wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -64. Suppose 30 = u*c + 5*c. Factor -5\/2*k + c + 1\/2*k**3 - k**2.\nAnswer: (k - 3)*(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*a = 8, 4*q - 25 = -61*a + 60*a for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200483397 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 9:01 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Let q(s) = 3*s - 3. Calculate the remainder when q(5) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 684*x + 146.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1101.83 + -1107. Let o = n + 2.37. Put -0.3, o, 4 in ascending order.\nAnswer: o, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**2*q**4 + f**2*q**2 + 2*f*q**4 - 4*f*q**3 - 11*f*q**2 + 2*q wrt q?\nAnswer: -120*f**2*q + 48*f*q - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/73? (a) 2\/3 (b) -1 (c) 0.02 (d) 673 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65695 divided by 292?\nAnswer: -65695\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-15))\/(1\/9). Let i(m) = -5*m - 1. Let r(t) = -4*t - 1. What is y*r(z) - 2*i(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-8)*(-4)\/(-24). What is the closest to -0.3 in 3\/2, 1\/2, 5\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020577 to the power of 1\/2, to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10230*d - 81749. Give k(8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0773737*0.1\nAnswer: 0.00773737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*s + 5*s + 43, -3*u = 4*s + 23. Let g be ((-126)\/s)\/(-14 + 17). Does 4 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1519, 3, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9739?\nAnswer: 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 57105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 20 + -13 + (-10 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2 - 2)*(193 + 36 + 98 - 52 + 78).\nAnswer: -353*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -106*m**2 - m - 18. Let q(f) = -110*f**2 - 13. Calculate -3*q(y) + 2*v(y).\nAnswer: 118*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o - 11*o + 19*o + 18 - 21.\nAnswer: -8*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36196 + -36194. Which is the third smallest value? (a) 4 (b) 0 (c) y (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let n = -515 + 517. Let u(r) = 12 - 15*r**n - 12 + 13*r**2 + 4*r. Give z(u(m)).\nAnswer: -4*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5 + 26*x**4 - 44*x**3 - 4*x**2 + 46*x - 22.\nAnswer: -2*(x - 11)*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2184)\/(-17712) + (-2)\/18. Let l = 101\/123 + p. Calculate the common denominator of l and -9 + 9 - 55\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 9*p + 3*s - 7 = 0, -8 = -2*p - 2*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8 + 2.6. Let n = f - -2.03. Let i = n + -0.03. Which is smaller: i or 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f + 3*d, 4*f + 0*f + 3*d - 23 = 0. Suppose 3*y + 2*z = -f*y + 20, -2*y = -3*z + 11. Put 1, y, 5 in decreasing order.\nAnswer: 5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*c - 26 - 54, 0 = 3*a + 2*c - 45. Let x(q) = -25*q**2 + 1397*q - 1206. Let g be x(55). Solve -g*k + 1 = a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**2 + 2*s. Let b be j(2). Let x be b\/(-12) + (-2)\/(-3). Solve 5*h = -15, h = 5*u - 2*u + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2\/(-14))\/((-51)\/119))\/((-6)\/(-3798)). Solve -35 + i = 44*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/4)*j))**5\/(j\/(j**0*j))**(-33\/2) assuming j is positive.\nAnswer: j**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 542230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 1. Let r = -2 - v. Let m(b) = b**2 - 2*b + 3. Is 7 a factor of m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 227*p**2 + 3333*p + 9884. What is c(241)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {u: 1, t: 1, g: 1, n: 1, w: 2, z: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -21*x**2 + x. Let f be (-240)\/30 - (-122)\/15 - (-1)\/30. Let u(g) be the second derivative of 0 + f*g**3 + 0*g**2 + 11*g. Calculate u(l(m)).\nAnswer: -21*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15860 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1310240 and 532.\nAnswer: 9171680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 1. Suppose -2*f + 6 = -f + 5*y, -3 = -3*y. Let a(s) = -48 - s - 5*s - 8 + 2*s - 9 + 69. Calculate f*a(x) + 5*n(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Let x(t) = -885183*t - 6. Give p(x(o)).\nAnswer: -1770366*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224215305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:37 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/v**(5\/7))\/(v*v*v\/(v*v**(-1)))**(-8\/11)*((v\/v**0)\/v)**(-40)*(v*(v**(-1\/2)\/v)\/v)**(-2\/99) assuming v is positive.\nAnswer: v**(141\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 164, 173, 182, 191, 200, 209?\n\"Answer: 9*h + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -242.03, 4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 - 1)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -0*m. Let v(h) = h**2 + 2*h - 2. Suppose -19*l = -20*l + 10. Let u(t) = -t + 1. Let d(a) = l*u(a) + m*v(a). Let k(y) = 3*y**2. What is d(k(f))?\nAnswer: 45*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.7? (a) -1 (b) 0 (c) 98.528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 24 + -15 - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 645 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 608.00526 - 608. What is d rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:37 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245969249.\nAnswer: 245969249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16239 + -16239.1. Put -18, u, 25 in descending order.\nAnswer: 25, u, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 757293 and 0.3.\nAnswer: 227187.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 2, -0.2, 5\/8, 4, 1\/4?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -12.9. Let z be 4\/22 + 3171\/(-77). Let u = 40 + z. What is the nearest to v in -2\/9, u, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000707835274 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16987 is divided by 5615.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*m**6 - 640*m**2.\nAnswer: -6480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + p = -2, -124381*p = -x - 124376*p - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 15. Which is the biggest value? (a) 3 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 145d7 - 2?\nAnswer: 145d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77771.28 months in decades?\nAnswer: 648.094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 divided by 625?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1296)\/(-162) + (-6 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**3\/6 + 4*c + 1. Let q(a) be the first derivative of y(a). Let b(w) = -9*w. Calculate q(b(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 - 80*f + 52. Give a(-30).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 3. Let s be o(3). Let m(d) = d + 3. Let b be m(s). Suppose 64 = b*n - n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((((n\/(n*n*n*n**(4\/7)*n*n*n))\/n)\/n)\/n)*n*n**(1\/8)\/n)**(-2\/93) assuming n is positive.\nAnswer: n**(-181\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/6))**(-2\/17)*(h*(h\/(h*h**(-2)*h)*h)\/h)**(-40))**31 assuming h is positive.\nAnswer: h**(-126449\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*j - 5*j. Let p = 18 - 4. What is the highest common divisor of p and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1485505368 divided by -6?\nAnswer: 247584228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33930380021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 + 11*u**3 + 88*u**3 + (-6*u**2 + 11*u**2 - 8*u**2)*((4*u + 3*u - 5*u)*(0 - 3 + 2) + 1 - 1 - 4*u).\nAnswer: 122*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 5. Let o = g + -10. Put 1, o, 2 in descending order.\nAnswer: 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*x = 104, 3*x = -5*f + x + 151. Let p(c) = 2 - 72*c + 18*c + f*c + 23*c. Calculate p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1518, -1502, -1476, -1434, -1370, -1278, -1152, -986?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -581, -2030, -4865, -9548?\nAnswer: -16541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 5. Let v(u) = 0*u**3 - 1 - u - p*u**3 - 5*u**3. Determine v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i = -274*i - 275*i - 21150 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 20\/15)\/4. Which is the nearest to y? (a) 5\/3 (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/100 and 95\/242?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 66*f + 1153. Calculate the remainder when 309 is divided by o(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 230502670*r**2*x + 159487726*x wrt r.\nAnswer: 461005340*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqp when three letters picked without replacement from {q: 2, p: 11, u: 1, e: 1}?\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 44. Let x = 0.3 + -0.1. Let b be (2\/3)\/(8\/18). What is the nearest to 0.1 in q, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -24*r - 974, -5*w + 315 = -5*r + 135 for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.3, 1\/7, -0.1, -13\/4, 126?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1111 + 1113. Suppose -54\/7 + 54\/7*f - 18\/7*f**x + 2\/7*f**3 = 0. What is f?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*d - 2580, -4*d + 26*o + 2580 = 31*o. What are the prime factors of d?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -3*c**5\/20 - 17*c**4\/2 - 80*c**3 + 3600*c**2 + 11831*c. Solve g(i) = 0.\nAnswer: -20, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157594106 + -608?\nAnswer: -157594714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 + 356*c**4 + 11868*c**3 + 75548*c**2 + 116936*c + 52896 = 0 for c.\nAnswer: -19, -6, -1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 4. Let y(s) = s**2 - 12*s + 13. Let l be y(10). Let o be d(l). Let j(k) = -k + o*k - 3 - 6*k. Let t(w) = 2*w**2. What is j(t(p))?\nAnswer: -8*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261 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: Suppose 8*j + 42*j = 12*j + 38. Solve -2*x = -x + j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270010 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -7, -1 in decreasing order.\nAnswer: 41, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 7, n: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 156 - 8?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1966 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2792, -2718, -2520, -2138, -1512, -582?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046 to five decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 18937 = -4357. Suppose 141*r - i = 132*r. Calculate the greatest common factor of r and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654966321 to the power of 1\/2, to the nearest integer?\nAnswer: 25592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -676*l**2 + 7732*l**2 - 12*l + 12*l + 14575*l**2 as h + z*l**2 + k*l and give z.\nAnswer: 21631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 199, -0.5, 0, 0.1, -3452?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4\/3 (c) -3\/19 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 26 = 4. Let b = 10 + z. Suppose 3*m - 5*m + 8 = -4*n, -b*n - 4*m - 20 = 0. Let q(j) = j**3 + j**2 - 2*j - 3. Give q(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (47 - 46)\/((-1)\/(-2)*1). Suppose -5*n + a*t + 3975 = -2*t, 2*n - 1572 = -2*t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6456450.\nAnswer: 2, 3, 5, 7, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c04 (base 14) in base 4?\nAnswer: 210310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 136 = 152. What is the remainder when 114 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*v - 432 - 40 + 73 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 5*p**2 + 6*p - 2. Let q be d(-6). Let x be -4*2\/4*q. Let g(k) = -x + 4 - k. Let n(m) = -3*m. Calculate g(n(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4884 + -7285. Let n = l + 1671. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1242 and 17874?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 30. Which is the nearest to k? (a) 0.1 (b) -0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 21*w**2 - 17*w + 13*w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - t - 1)*(-8*t**2 + 182 - 182) - t**3 + 14*t**3 + 0*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + -302?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.85 + 0.15. Let i = 12.4 - 2.4. Let t = u - i. Put t, -5, -0.5 in decreasing order.\nAnswer: -0.5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 + -61. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 30 = -4*v + 3, 5*s - 15 = 5*v. Let f(u) = -2*u**2 - 16*u - 9. Let n be f(-7). Suppose n*h + v = 12. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18394253 times -14?\nAnswer: -257519542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*m - 4, 5*c - 26 = -6. Suppose 5 = -b, -4*r = -6*r - m*b - 6. Factor 0*n - 1\/3 + 1\/3*n**r.\nAnswer: (n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3 + 5296*a**2 - 31722*a + 47556 = 0. What is a?\nAnswer: 3, 2642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y)**(-18)*(y**(-1)\/y)**(-1\/68) assuming y is positive.\nAnswer: y**(1\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:02 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**2 - 11*d - 5. Let g be j(-5). Suppose -1165 = 5*p + 5*t, -3*t + 8*t = -4*p - 928. Let a = g - p. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120263 is divided by 60128.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4589*l - 316651. Calculate c(69).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493 equal to 5496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -566.138 + 12.038. Round x to the nearest ten.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-6)*r)\/(r\/(r*r**(-2\/3)))*r**(-1)*r*r*r*r**(-3)*r)\/(r**(-5)\/r*r**(1\/4)\/r*r**6*r**(-3)) assuming r is positive.\nAnswer: r**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 79*o + 5219. Let p be r(-66). Solve 1 = -z + 4*q + 2, p = 5*z + 2*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*-73330.4\nAnswer: -249323.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*q + 65*q - 480. Is (21048\/q)\/((-1)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/6? (a) 3\/2 (b) 4 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -2\/9, 0, -35\/6, 2\/51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r - 15*r + 4*r**2 - 24*r - 17*r.\nAnswer: 4*r**2 - 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18102661 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(12)\/(sqrt(6) + sqrt(96)) + 0 + 3) + -5)**2.\nAnswer: 136*sqrt(2)\/5 + 7257\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.4 + 15. Let j = -313.04 - -313. What is the second biggest value in i, -5, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 86733242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 3418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 656525*k**3 - 10*k**2 - 7*k - 226.\nAnswer: 3939150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.5104274 and -3.\nAnswer: -163.5312822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Suppose s - 10 = -u*s. Suppose -3 + 25 = s*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -116, -192, -264, -332?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/((-1008)\/224)*(-4)\/(-42)*-3?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -39*h**2 + 6*h - 4. Let v(y) = -5*y**2 - y. Determine 6*v(g) + w(g).\nAnswer: -69*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 12*x**2 - 8*x - 12. Let g(i) = i**2 + i + 1. What is 12*g(z) + n(z)?\nAnswer: -2*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 7 (c) -1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 4*h**3 - h**3 + (h - 2*h - 3*h)*(-2*h**2 + 3*h**2 + 0*h**2))*(2 + 7*h + 3*h - 14*h).\nAnswer: 12*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-50)\/(-30))*6\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336945 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-14)*1)\/(38\/532). Is 6 a factor of (7 + (-119)\/14)*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 293.6367 (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528381?\nAnswer: 3, 7, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3*12\/9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1741.4 - -1778.4. Which is the second biggest value? (a) z (b) -1\/3 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 13. Let r(l) = -7*l - 12. Let c(j) = -3*j - 6. Let x(g) = 5*c(g) - 2*r(g). Calculate -6*s(u) + 13*x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2786*a**3 + 256316*a**2 - 5895544*a + 8464.\nAnswer: -2*(a - 46)**2*(1393*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*h + 2656*h - 135324 = 0 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30814, 30815, 30816, 30817?\nAnswer: 30818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/320 and 23\/280.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/3 - 8*l**3\/3 - 4*l**2 - 8*l\/3 - 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let v(c) = -381*c**2 + 57*c - 19. Give v(o(w)).\nAnswer: -381*w**4 - 57*w**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let p be (-3)\/(-5)*225\/540. What is the nearest to o in p, -5, -39?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/((-1053)\/90))\/(2\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 964, 2\/11, -3, 0.01 in decreasing order.\nAnswer: 964, 2\/11, 0.01, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*l - 193*l + 41 = 5*d, 0 = -d + 5*l + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) -0.8 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/(-19)*(7 + -7). Solve x = 22*u - 19*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**8\/1344 - 67*h**7\/420 + 1451*h**6\/160 + 1139*h**5\/30 + 289*h**4\/6 - 1598*h**2. Factor z(l).\nAnswer: l*(l - 68)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 3*n + n**3 - 4*n**2 - 3. Let i = 33 + -23. Suppose -i = -2*r - 2. What is b(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27345, -54556, -81767, -108978, -136189?\nAnswer: -163400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < 10947\/1214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2920 divided by -146.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -63. Let a(g) = 3*g - 1. Let m be a(2). Solve -5*j + d*j + 5*o = -35, 4*o + 33 = m*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 28, -3, -3993, 2, -5 in decreasing order.\nAnswer: 28, 6, 5, 2, -3, -5, -3993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-15) - (-7857)\/15. Let a be (6\/(-8))\/(-3 + n\/176). Let k = 41 - a. Solve 0*x + k = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaxgxak?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12940, 13059, 13174, 13285, 13392, 13495, 13594?\n\"Answer: -2*i**2 + 125*i + 12817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.00066*-1.587\nAnswer: 0.00104742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 - 318897*z**2 + 33899707755*z\/2 - 67794313254.\nAnswer: 3*(z - 106297)**2*(z - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 + 7*l**2 - 2*l - 6. Is j(3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36571806 to the power of 1\/2, to the nearest integer?\nAnswer: 6047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.71 in -52\/11, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {l: 1, x: 1, e: 1, d: 4, t: 2, r: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*a**4 + 44*a**2?\nAnswer: -1032*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -42, 7\/12, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80, 192, 340, 524, 744, 1000?\n\"Answer: 18*a**2 + 58*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z**2 - 4*z**2)*(3*z - 1 - 2*z + z)*(10*z**2 + 5*z**2 - 6*z**2).\nAnswer: -36*z**5 + 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2976*s + 1001*s + 1000*s + 991*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. What is the biggest value in k, 0.1, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 + 0)\/(-3)*5\/20. Find the common denominator of 11\/3 and 1360\/384 - p\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4249501 is divided by 624?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 46. Let z(h) = h. Determine t(z(i)).\nAnswer: -2*i + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23916 + -169079\/7. Let k = -240 - b. Let v = 6\/127 - 5219\/254. Find the common denominator of v and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 2*v - 2. Let s be m(2). Let g be 14\/35 + (-16)\/s. Put 4, -8, g in decreasing order.\nAnswer: 4, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 + 184688*w**2\/9 - 738776*w\/9 + 738784\/9.\nAnswer: 2*(w - 2)**2*(w + 92348)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Let j = h - 5. Let v = j - -17. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -902 and -1.\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 - 29.72. Let i = -6 + w. Let d = -35.9999953 - i. Round d to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-5\/2)\/j)*j)\/j**0)**(-6)\/(((j**(-2)*j)\/j*j**(-6))\/(j**(-2\/3))**(-2\/15)) assuming j is positive.\nAnswer: j**(-1121\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 400028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poff when four letters picked without replacement from qoqnqpqqfqfqqqa.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1479 + -6149\/4. Let f = o + 58. Put -1\/9, f, 9 in decreasing order.\nAnswer: 9, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + l + 917*l**5 - 920*l**5 + 42*l**3 + l + (-3*l**3 + 15*l**3 - 7*l**3)*(2*l + l**2 - 2*l).\nAnswer: 2*l**5 + 42*l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**4 + 9*g**3 - 19*g**2 - 9*g. Let m(k) = k**4 + 8*k**3 - 18*k**2 - 10*k. Let a(d) = -6*m(d) + 5*x(d). Suppose a(h) = 0. What is h?\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4561 - -68?\nAnswer: -44a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 5*z**4\/24 + 215*z**2. Let s(v) be the second derivative of -4*v**3\/3 + v. Give s(d(u)).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + -4 + 3) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1872) + (-3*sqrt(1872) + -2 - sqrt(1872)) + (sqrt(1872) + 1)*1 - sqrt(1872)*1*2*3)**2 + 3.\nAnswer: 192*sqrt(13) + 119815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40765.4, 1, 5 in decreasing order.\nAnswer: 5, 1, -40765.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 305074855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472242.\nAnswer: 2, 736121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -38 + 3 + -7 + -1 + (14 - 10)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 33 = -2*n. Let b = 32 + n. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-30) - 1\/(-2). Suppose 4*z - 4*s + s = 10, -s = -4*z + 14. Let o = -6 + z. Sort p, -0.4, o in decreasing order.\nAnswer: p, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 517477467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/48)\/(6\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37186?\nAnswer: 2, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -267223 (base 14) to base 11\nAnswer: -826090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -472 - -45086?\nAnswer: 44614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 1 in decreasing order.\nAnswer: 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.36135597 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 512?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-2))\/(1\/2). Suppose 4*g - i*s - 26 = g, -2*s + 26 = 4*g. Let l be (-52)\/104 - (30\/4)\/(-1). What is the greatest common divisor of g and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + sqrt(17))*5*1 + -5*(-2 + sqrt(17) + -1) + 5)*4.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 33, 95, 187, 309, 461?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - 4\/(-2)*-1. Let i(h) = h**3 - 8*h**2 + 6*h + 10. Let n be i(f). Solve 0 = -2*g + n - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*u - 2 - 4 + (u - 3*u + 4*u)*(0 - 1 + 3) - 9*u + u + 2*u + u - 3*u + u + (-2 + 4 - 1)*(0*u - 2*u + 0*u) as t*u + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*b - b - 70, 0 = -4*b - 4*m - 80. Let q = b + 34. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*o*x - g**2*o - 747*g**2*x**2 - g**2 - 3*g*o*x**2 + 17899*g*o*x + 3*g*x**2 - 2*o*x**2 wrt x.\nAnswer: -1494*g**2 - 6*g*o + 6*g - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 3*m - 2*m + (-1 + 1 - m)*(-1 + 2 - 3) + 2*m + 0 + 0 + 55981298 - 55981298 + 7598*m)*(-14 + 14 - 5*m) as k*m**2 + f + w*m and give k.\nAnswer: -38015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 + 250. Suppose -18*r - 75 = -w. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-12 - -8) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022010 (base 4) to base 9.\nAnswer: 6446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {d: 4, l: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 1673 - 3*m**2 - 2*m**2 - 1458.\nAnswer: -5*m**2 + m - 3131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 17. Let d be (34\/4)\/((-1)\/2). Let t be m(d). Solve -3 + t = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 9. Let b(w) = -w + 2. Let q be b(2). Suppose q = 7*u - 8*u - 4. Determine k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 8 = 0. Suppose i*j - 62 = -5*w, -2*j + 58 = 5*w + j. 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 f = 17 + 7. Let t = f + -18. What is the least common multiple of (-2)\/6*-38 - (-52)\/(-78) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 706372 and 185616.\nAnswer: 25429392","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:38 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 8*d + 375. Let z = d - 49. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1084.1805 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {q: 2, n: 2, r: 1, a: 2, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 6*h - 8 + 223 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1150 + 1920. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231021123 + 3033?\nAnswer: 231030222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -271, -412, -555, -700?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15162*k**3 - 27200*k**3 + 12037*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15533977\/10 + 1545130. Let n = r + 8260. What is the common denominator of 1\/13 and n?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 2*f - 3408. What is the remainder when 146 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 34. Suppose 4 = 2*d + 5*s + 35, 2*s = -5*d - 25. Let x = -3 - d. Does 9 divide i(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10014.3561 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.744 + -0.344. Let u = z + -7.4. Which is greater: u or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16081005, 16081006, 16081007, 16081008, 16081009?\n\"Answer: k + 16081004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h - 4*h)*(4*h + 0*h + 0*h) + (-5*h + h + 5*h)*(1 - 1 - 2*h) - 5*h**2 - h**2 + 4*h**2.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000662051 to six decimal places.\nAnswer: -0.000662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*o - 5*d + 1242 = -146*o, 632 = 2*o - 3*d. Calculate the remainder when o is divided by 110.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 5*l + 51, -30*l + 48 = -4*z - 34*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from tptxpx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**5\/10 - 13*b**4\/8 - 26*b**3\/3 + 16*b**2 + 1019. Factor l(n).\nAnswer: n*(n - 16)*(n - 1)*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8399693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 28*l**2 - 20*l + 11258. Is 13 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**4 + 285*v**3 - 4110*v**2 + 3280*v + 7680 = 0?\nAnswer: -1, 2, 24, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.002 and 0.4.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 28*w + 5*w + 4*w**2 - 33*w.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 - 3. Let j be i(2). Let s = -3 + 5. Suppose -5 = s*x - j. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-357) - ((-518)\/(-49) - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzozoozooozozoooooo?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 127075, 254157, 381239, 508321, 635403, 762485?\n\"Answer: 127082*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/4 + 5*a**3\/3 + 3*a**2 + a + 3. Let q be c(6). Let m = q - 1. Solve 5 = -p - m*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0651 * 454.\nAnswer: 29.5554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 208624 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -42c?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3350 + -67043\/20. Let a be 42\/4*8\/(-6). What is the common denominator of (30\/a)\/((-2)\/(-5)) and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 5528240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125 + 125 - 8*c**4 + c**2 wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-1 - 0)\/(8*8\/64))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 - -0.38. Suppose -293*x = -295*x + 4. Suppose 3*z - 4 - 5 = 0. Sort x, z, c in increasing order.\nAnswer: c, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50 and 0.1085?\nAnswer: -5.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 149*u - 4423. Let j be b(-41). Let l = 5 + 0. Suppose 14 + 6 = l*a. Put j, a, -1 in descending order.\nAnswer: j, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184481, -368945, -553385, -737789, -922145?\nAnswer: -1106441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d8196d - 3?\nAnswer: -8d81972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - (4\/2 + 0). Let w(b) = -7*b + 4. Let s(z) = 2*z - 1. Let d(y) = t*s(y) + 2*w(y). What is the first derivative of d(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*a + 2*a + 9 = 0, -5*a - 12 = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.85, 21\/4, -4 in descending order.\nAnswer: 21\/4, -4, -8.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2200 - -2392.3. Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 926255*l - 8335890.\nAnswer: -5*(l - 185242)*(l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7167967 - 2?\nAnswer: -7167969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 34, 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*f**5 + 252*f**2 wrt f.\nAnswer: -3240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, m: 3}. What is prob of sequence ommo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u - 1. Let g be o(9). Let y = g + -64. Find the common denominator of 3395\/60*1\/y and -37\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = q, -4*z + 5*z = -5*q - 7. Suppose 2*v = z*v + 2. Let o be (-2)\/(-4)*(4 + v). Solve r + o = n, 0*r - n - 8 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 2800961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1544, 6, 2\/17, 2\/9?\nAnswer: -1544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-152)\/(-96))*(-1)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 3, -f + 20527 = -6*a + 20500 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14952 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1127, -4579, -10331, -18383, -28735?\n\"Answer: -1150*n**2 - 2*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 12\/99919?\nAnswer: 12\/99919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2. Let a(q) = -9 + 673*q - 179*q - 183*q. What is u(a(k))?\nAnswer: -193442*k**2 + 11196*k - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1089580441 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 29. Let p = 23 + j. Let h = 11.2 + p. Which is the third smallest value? (a) h (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.22 + -5.11. Let m = y - 0.11. Which is the closest to 0.1? (a) 0.5 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 1, t: 3, l: 4, s: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-70)\/36) - 812\/2030. Suppose -2*z - s + 10 = -5*s, 2*s + 49 = 5*z. What is the second biggest value in z, -0.1, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1228487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/44*(-208)\/4. Let f(t) = t**2 + 6. Let u(c) = -c**2 - 13. Give i*f(w) + 6*u(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**3 + 46*n**2 - 9*n + 2. Determine y(-7).\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Let a(n) = n + 15. Let b be a(z). Suppose b*l - 17*l = -8. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 22 = -j, -j = -2*h + 15 + 13 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j**3\/7 + 158*j**2\/7 - 56*j + 72\/7.\nAnswer: 2*(j - 2)*(j + 18)*(5*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 15*f**2 - 13*f - 12. Let s be j(-16). Let b = s + 487\/8. Let a(u) = 7*u + 13. What is the common denominator of b and a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j + 16. Let h(o) = -o**2 + 5*o - 6. Let n be h(j). Let l = n - -6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13493, -28383, -43273?\n\"Answer: -14890*t + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*i - 0*m, 0 = 3*m + 15. What is the nearest to -0.4 in 0, i, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1922599*l**2*z + 4*l*z + 3631*l - z + 2 wrt l?\nAnswer: -3845198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1319010, 13 in decreasing order.\nAnswer: 13, 7, -1319010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 30, 19, 4?\n\"Answer: -2*i**2 - i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 6*c**2 - 6*c + 4. Let s be f(-7). Let a be (2 - 1) + s + 2. Solve y = -h - 8, a = -4*y - 5*h - 26 - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.680470541 rounded to 2 dps?\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((3\/(84\/28))\/(13*-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 992774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5843.\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -29640 divided by 6878\nAnswer: -780\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -84 - (-88 - -30 - -25)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10184, -20381, -30590, -40817, -51068, -61349?\n\"Answer: -s**3 - 10190*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -34, -18, 34, 134?\n\"Answer: 2*n**3 - 22*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170329633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/130 and -1\/182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.693 and -1561.\nAnswer: -1081.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c + 44. Let y = -882 - -875. Give k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4631 is divided by 470.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 19*d**2 - 37*d + 13. Determine y(-17).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Suppose -4*w = 3*s - 21, 0 = -3*s + 4 - 19. Let i be (w\/(-1))\/(d\/5). What is the highest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 39*z - 6. Let k(y) = -19*y + 3. Let l(s) = 5*k(s) + 3*r(s). Let w be l(4). Suppose -352 = -3*c - w. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/28 - 2 - (-13 + 9). What is the third biggest value in 47, r, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 1. Let g be b(0). Suppose -3*y + 8 = -g. Suppose -y*m + 125 = 2*s - 0, -2*m + 10 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -115*b**4 + 1055*b**3 + 1200*b**2 - 2540*b + 400 = 0.\nAnswer: -2, 4\/23, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(22 + 29 - 7 + g)*(3*g - 3*g + 2*g**3).\nAnswer: 4*g**4 + 176*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -8*v + 3*v - 4201, 12603 = 3*y - 5*v. Suppose 3*m - 5*m = 0. Suppose -5*f = -3*w - y, m = -4*f - 5*w + 1596 + 1750. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5867216844 a multiple of 2821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109275*j**3*u**3 - 13835*j**3*u**2 + 3*u**2 wrt u?\nAnswer: 655650*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16*(-2 - 7\/(-2)). What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*f**2 - 66*f**2 + 48*f**2 to o + z*f**2 + u*f and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 - -1)) + (88 - 101).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 t when three letters picked without replacement from {t: 2, n: 1, y: 6, m: 3, a: 1, k: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6533350.\nAnswer: 2, 5, 41, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311117, -622227, -933323, -1244399, -1555449, -1866467, -2177447, -2488383?\nAnswer: -2799269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, b: 6}. What is prob of sequence cbcc?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 - 7*k - 7. Let c(n) = 9*n**2 + 7*n + 8. Let v(y) = -3*c(y) - 4*g(y). What is v(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18578 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -25*s**3 + 8*s + 8. Let o(l) = 8*l**3 - 3*l - 3. Let d(g) = g**3 + 3*g**2 + 15*g + 18. Let v be d(-2). Calculate v*o(u) - 3*y(u).\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3302*r**2*x + 9572*r**2 + 2*r*x + x wrt x?\nAnswer: 3302*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(159*m - 929 + 929 + 5*m).\nAnswer: -164*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*w + 4*w. Suppose m = -79 + 9. What is the lowest common multiple of w and m\/(-8) - (-9)\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.59. Let s = -18.9 - -19.89. Let p = s + g. What is the nearest to 0 in -3, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 x when three letters picked without replacement from {x: 1, k: 1, f: 7, m: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154129 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 6)*((5*h - h - 3*h)*(-3 - 3 + 4) - 2*h + 4*h - h - 6*h + h + 3*h + (-1 - 1 + 3)*(2*h - 2*h - h)) to the form b*h + f and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25100, -50324, -75548, -100772, -125996, -151220?\nAnswer: -176444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2406609, -4813216, -7219821, -9626424, -12033025?\n\"Answer: t**2 - 2406610*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:37 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 15624.\nAnswer: 4687.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 63. Let v = 0 + 2. What is the third biggest value in 4, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a50a6 - 2?\nAnswer: -4a50a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*m - 14, a + 2*m + 7 = -1. Let i(l) = 7*l - 3*l + 3*l**2 - l**3 + 10 + 11*l. Is 18 a factor of i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, 1\/3, -2\/9, -4 in ascending order.\nAnswer: -4, -2\/9, 1\/22, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 9, -0.66, -45\/4, -1\/3, -2?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231130829 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 3. Let n(q) = -q - 3. Let x(v) = -5*k(v) - 4*n(v). Let c be x(-7). Suppose -c*j = -9 + 1. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81.76361 + -0.3\nAnswer: 81.46361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/189)\/(7\/21).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.25 (b) 3\/5 (c) -15 (d) -6 (e) -14 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 386 (b) 326 (c) -300\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42100.66 micrograms in kilograms?\nAnswer: 0.00004210066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8804*i + 188 = -8898*i. Put i, -13, -1\/6, -5\/2 in increasing order.\nAnswer: -13, -5\/2, i, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1948 - -22861. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 5, a: 14}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose 2*q + a*p = 5, 3*p - 12 = -4*q + q. Suppose -q*s - 4*d = -13, -s - 10 + 5 = -3*d. Put 0.3, -3, s in decreasing order.\nAnswer: s, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -25*g**3 + 6*g**2 + 50*g - 1. Let k(n) = 21*n**3 - 5*n**2 - 49*n + 1. Calculate 6*k(x) + 5*p(x).\nAnswer: x**3 - 44*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 9*v + 20. Let f be i(-6). Suppose 0 = -f*u + a + 7, u - 14 = -2*u + 5*a. Solve -m + 11 = -u*c, 2*c + 7 = -2*m - 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 5*s - 5*s + (0 - 2*s**2 + 0)*(4 - 1 - 5) + 0*s**2 - 3*s**2 + 2*s**2 + (-2*s - 3*s + 0*s)*(-91*s + 71*s + 109*s)*(3 + 0 - 4).\nAnswer: 447*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 82, -70?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/15)\/(2\/5). Suppose u - c*u = 0. Solve 0 = -2*z - 2*w + 8, -11 = -3*z - u*z - 4*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1213, 464, 3259, 7172?\nAnswer: 12203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-100)\/200)\/(1\/2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -2\/13 (b) -249 (c) -3\/7 (d) 0.4 (e) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4917\/728 - 11\/91. What is the common denominator of y and 38\/14 + 3\/4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/27 + (-167)\/(-96) and 83\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Let x(l) = -4*l**2 + 3*l**2 + z*l**2. Let n(p) = 73605 - 4*p - 73605. Give x(n(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*x + 242*x - 1063*x**2 to u*x + a + s*x**2 and give s.\nAnswer: -1063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -275985 in 1, -0.16, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8369 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2311.8 - -2274. Round w to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v + 480 = -6 + 54 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(108) + sqrt(108) + -2))**2 + (4 + -3*sqrt(108)*4)**2.\nAnswer: -2304*sqrt(3) + 31264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(2541) - sqrt(2541))\/(sqrt(48)*1 + sqrt(3)).\nAnswer: -22*sqrt(7)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p - 4. Is a(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270552973.\nAnswer: 41, 6598853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1884632 and 1136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297 - -291. Let n be ((-260)\/(-312))\/((-10)\/f). Suppose 0 - n*x**2 - 1\/2*x = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q - 21. Let y be i(4). Suppose 15*x - 332 = -v + 10*x, 986 = y*v + 5*x. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1313 - -62312?\nAnswer: 60999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/28)\/(((-9)\/42)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 3 - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -16*f - 150. Let x be z(-12). Let u(w) = -2*w - 1. Let d be u(-3). Suppose -x - d = -c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*y - 28 = 0, -4567*y = -4563*y + 4 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.389 - 18.311. Let q = -19 - x. Let h = 79\/3 + -27. Which is the closest to h? (a) -0.5 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -413.3 + -85.7. Let r = -498.99999707 - b. Round r to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 2*o**2 + 7. Let h be j(3). Let p(x) = 3*x**2 - 3*x + 6. Let u(d) = -16*d**2 + 16*d - 31. Give h*u(i) - 11*p(i).\nAnswer: -i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 639505, 639471, 639437, 639403, 639369?\n\"Answer: -34*r + 639539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) + 154\/44. Suppose -3*r = -8*r + 25, k - b*r = -24. Let p be -2 - k\/(162\/40). Is p >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1315430, 23 in ascending order.\nAnswer: -1315430, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/5826730 and -59\/416195?\nAnswer: 5826730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -127, -0.1, 1\/3, 0?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546418 is divided by 145.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 219935070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 8*h**2 - 8*h - 5. Let x be m(9). Suppose -s = -5 - x. Let p(r) = -r + 17. Does 8 divide p(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 4*k**2 + 14*k - 42. What is n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:52 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -28*p + 7. Let m be t(8). Let j = m + 220. Solve j*s - 13 + 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 38.87?\nAnswer: -39.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 37 = 20*z - 5*l, 7*l - 62 = 2*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*r**2 - 216*r**2 - 94*r**2 - 261*r**2.\nAnswer: -435*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 5)*((3 - 4 + 2)*(25*q - q + 76*q) - q - 28*q + 3*q) as j + t*q and give t.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1232912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507830 at most as big as 7507831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n*n*n\/(n\/(n\/(n**(-14)*n)))*n)\/n))\/n**(2\/7) assuming n is positive.\nAnswer: n**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 2*a + 5*a)*(-a + a + a**2) + 81*a**3 - 4604 + 4604.\nAnswer: 79*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 5) to base 10.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 11}. Give prob of sequence fxf.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/24 + 2*(-4)\/32?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -443. Let w = -2876\/9 + y. What is the nearest to -8\/11 in w, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42*(-45)\/3150)\/(2\/(-130))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 1306. Determine n(24).\nAnswer: 1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.0168 - -0.0168. What is the second smallest value in 18, -2\/7, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -10. Let z = -2 + t. Solve -2*y - z = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -22 in decreasing order.\nAnswer: 1, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 13 = l, -1 = -2*l + 4*k - 11. Let x = 25 - l. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 9*k - 1. Let n(j) = 3*j**2 + 10*j. Let g(o) = -3*n(o) + 4*w(o). Suppose -2*z - 4*s = -z + 6, 4*z - 3*s + 24 = 0. Does 21 divide g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let l(d) be the first derivative of -d**2\/2 + 23*d + 429. Give y(l(s)).\nAnswer: -s + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4702 - 2)*(-575)\/(-46) - -7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2, 347 in increasing order.\nAnswer: -12, 2, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43848 and 29736.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 10.5. Which is the closest to -1? (a) v (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(5\/(-10)) + 8. Solve -5*q - a = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 266 - 16*w + 59*w - 38 + 75*w wrt w.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 18, -13, -80, -195, -370, -617, -948?\n\"Answer: -2*m**3 + 7*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14919352 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l + 1. Let a(x) = -x**3 + 3*x**2 + x - 8. Let z(m) = -4*m**3 + 8*m**2 + 4*m - 23. Let y(n) = -8*a(n) + 3*z(n). Give -3*g(i) - y(i).\nAnswer: i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = 0. Suppose -s - 3 = -b*s. Let g(m) = m**3 + 5*m**2 + 4*m + 2. What is g(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 0*g + 2*g**2 - 2 + 6*g + 12. Let h be d(-8). Suppose -h*m - 5*s = -27, m + 0*s = -2*s + 13. Calculate the greatest common divisor of 77 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765859867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 76.905. Let z = o - 69.905. Let b = z + 67. Is b less than or equal to -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:53 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23560 = -1333*d + 713*d for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Let s(h) = 1 - f + 4 + 2*h. Let v be 3\/(2*(-1)\/(-2)). What is s(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110101011000 (base 2) to base 9.\nAnswer: 16827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 + 20*j**2 - 4*j + 6*j to s*j**2 + t*j + y and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 1. Let u be r(1). Solve -7*t = -u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2008410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(224\/(-5)) - (3938\/(-176) + 22)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 277*d - 276*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + 2\/6. Let v be (-30)\/190*2\/(-6). Let j = -45\/133 + v. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(704) + sqrt(704)*3)**2.\nAnswer: 34496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfmmymlyfml. Give prob of sequence mm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 5\/48 (c) -1195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 577*h + 14366 wrt h.\nAnswer: 577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -40\/3*r**3 - 33*r + 0*r**2 + 63. Differentiate o(s) wrt s.\nAnswer: -80*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)\/((-36)\/72). Sort 0.1, -0.5, u, 4\/3.\nAnswer: -0.5, 0.1, 4\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12*8\/(-120)*-1470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*h - 6, 5*f - h + 4*h = 30. Suppose -10*q = -4*o - f*q + 4, -5*q = -20. Let j be 3 - (o + -3 + -3). Sort -3, -4, j in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.5 (c) -13\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1403*z**3 + 3 - 2 + 1400*z**3 + 14*z**2 to the form x*z**2 + a + w*z + u*z**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*w = -2*q + 31, -5*w = 4*q + 17. Let c be (-16)\/(-7) + q\/(-7). What is the second derivative of 2*h**2 + h**2 - 4*h**2 + 2*h + 4*h**c wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*y - 0 + 6, 3*y = 2*s. Solve 0 = -4*l + s*c + 8, -l + 2*c - 1 - 2 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-39))\/((-18)\/(-1404)*-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -95. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ab - 5?\nAnswer: -4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4491?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152459392 to the nearest integer?\nAnswer: 12347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 940907 + 3*w**2 - 939986 + 2*w - 2*w**2.\nAnswer: w**2 + 2*w + 921","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**3 - 2*f**2 - 3*f - 4. Let n(r) = r**3 - r - 1. Let q(o) = -3*n(o) + p(o). Does 11 divide q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 - 7*s + 7. Suppose 8*z - 10*z = -14. Let o(a) = -3*a**2 + 4*a - 4. Calculate z*o(f) + 4*v(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5761836 or -5761842?\nAnswer: -5761836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*s**5 - 170\/11 - 466\/11*s - 4*s**3 + 38\/11*s**4 - 380\/11*s**2 = 0. What is s?\nAnswer: -1, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -3691.\nAnswer: -51674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:08 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4891913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 11 = 0. Suppose -4*v = -3*z + 2*z - r, 0 = v + z + 1. Which is the closest to v? (a) 2\/21 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252394479 to the power of 1\/2, to the nearest integer?\nAnswer: 15887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 - 21 = 0, u - 2*p = 10. Suppose u*w + w - 12 = 0. Find s such that 3*s + 7*s**2 - w*s**3 - 10*s**2 - 2*s = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 + 152. Which is the second smallest value? (a) 2 (b) q (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 40 + 6*u - 43\/2*u**2 + 7\/3*u**3. Factor c(o).\nAnswer: (o - 6)*(7*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from {r: 2, n: 2, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 254.017998s?\nAnswer: 0.002940023125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2 - 154*c + 3. Let t(a) = -2*a**2 - 39*a + 1. What is 9*t(l) - 2*w(l)?\nAnswer: -2*l**2 - 43*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4887162415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66669 and 1190244.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2 + (-3 - -1))\/2)\/(2 - 1). Which is the closest to m? (a) -1\/4 (b) -0.17 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z. Let s be (-18)\/10*130\/(-39). Let k(q) = -5*q**3 + 15*q**2 - 3*q - 2. Let v(b) = s*u(b) - k(b). Is v(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 82. Suppose -n + 112 = y - 3*n, -4*y + n = -483. Calculate the remainder when y is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -a + 55. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.5565 weeks in seconds?\nAnswer: 14851771.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -47*p - 22. Determine v(-3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/381 and 16\/98679?\nAnswer: 98679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -133601 from 5337573.\nAnswer: 5471174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-21) - (-6)\/(-21). Suppose d*h = -h - 18. Let j(g) = -10*g + 19. Is j(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 1, l: 4, o: 6}. Give prob of picking 1 d and 2 o.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7541969.972 to the nearest one thousand.\nAnswer: -7542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p*p**(-11)\/p)*p*p*p))**(-2\/7)*(p\/p**(1\/22))\/p**(-2\/25))**(3\/16) assuming p is positive.\nAnswer: p**(61449\/61600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18388 - -18387. Which is greater: -40\/1171 or m?\nAnswer: -40\/1171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmfr when four letters picked without replacement from {f: 5, r: 4, m: 8, n: 2}?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 0, 103, -4, 2.\nAnswer: -4, -1, 0, 2, 12, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1273 (b) 0.04 (c) -1\/10 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*j**4 + j + 17*j**4 + 2*j**2 + 17*j**4 + 0 + j**3 + 0*j**2 + 1 as k*j**3 + d*j + l*j**4 + f*j**2 + s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65\/23? (a) -1 (b) -8 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -149362714, -149362713, -149362712, -149362711, -149362710?\n\"Answer: k - 149362715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -25 + (-36 - -11) + -7\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5*v - 261*c**4*v**3 - c**2*v**3 - 51*c**2*v + c*v**3 wrt c.\nAnswer: 120*c**2*v - 6264*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 - -295. Let a(x) = 9*x - 6. Let c be a(5). Calculate the highest common divisor of m and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from avqsaqsaav?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3048)\/4064)\/((-6)\/(-100))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {g: 7, d: 4, s: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7 + 134 = 5*t, -2*d + 149 = 5*t. Let o = t - 3. Calculate the greatest common factor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*l - 2*l - 8, -512*s = -525*s + 5*l - 37 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -284\/377 - -759\/1508. Let b be 2\/(-6) - 21\/(-36). Let x = -18 - -11. What is the nearest to y in 3, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 1260998.\nAnswer: -29\/1260998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 292 and 11534.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 462868676966\/6981 + -66304065. Let q = -1\/1074 + a. Let v = -69\/29 + 943\/116. Find the common denominator of q and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018898 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2226 = 618. What are the prime factors of r?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 19. Let o(m) = -6. Let s(y) = -3*o(y) - v(y). Let u(j) = -2*j - 3. Determine -5*s(a) + u(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + n + 38. Let b = 0 + 0. Let g be y(b). Let l = g - 6. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.5 - -23.5. Which is the closest to d? (a) 1\/5 (b) -1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:40 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26978 + -2.\nAnswer: 26976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 22*p**2 + 11*p**2.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241209822 and 1618?\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 6*a**2 + 2*a - 4. Suppose 4*d - d - 6 = 0. Let g(n) = -3*n + 3. Let u be g(d). Calculate the remainder when 33 is divided by y(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from fnfeftnnftff?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 30 + 4 + (-3 + 1 + 0)*(-5 - 3 + 6))*(3 + 1 - 5)*(0*d + d - 7*d).\nAnswer: -54*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -301*p - 528. Give w(-3).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3098 and -5.\nAnswer: -15490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a factor of 45736728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 25*r**3\/3 + 4*r**2 - 47. Find the second derivative of k(f) wrt f.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1995)\/70)\/(7\/(1148\/(-6))) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -335831*a + 336036*a + 6970 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-2680)\/220 + 15 + (-6)\/(-33))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r + 19*r - 207 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 9*h**2 + 2*h - 12. Let x be k(9). Let n(s) = s + 2. Let g be n(x). Which is greater: 0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {z: 1, f: 1, d: 2, p: 5, w: 6}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = -5*s, 5 = 2*u - 5*s - 0. Let z = u - -8. Is 13\/z*(1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69736 divided by -23.\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from qcacrvz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - i + 29 = 4*i, -4*t - 2*i = 4. Let p = t + -3. Let b = -3 - p. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j - j)*(1 + 2 - 1) - j - 2*j - 6*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 smaller than -3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2142 + 2158 - (1 + -27).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 634*d**4 - d**3 - 788*d**4 + (d**2 - 3*d**2 + d**2)*(-3*d**2 + 3*d**2 + 2*d**2).\nAnswer: -156*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5 + 12324*k**4 + 50651616*k**3 + 69527489264*k**2 + 415344138096*k = 0. What is k?\nAnswer: -4106, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7592.1106 - -7594. Round a to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13970 and 5339080.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from augjgkja. What is prob of sequence kua?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -44089 divided by 11684\nAnswer: -44089\/11684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4560612.3 rounded to the nearest one thousand?\nAnswer: -4561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 19. Let n(p) = -p**3 - 6*p**2 - 8*p. Let f be n(-6). Calculate the greatest common divisor of f and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13379 is divided by 6683.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:31 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 20*c - 26 = 0. Suppose 2*a - 5 = -v, c*a + 9*v - 3 = 6*v. Solve 8 + 2 = -g - a*s, -s + 20 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54764574, 109529151, 164293728, 219058305, 273822882?\n\"Answer: 54764577*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50085 + 71059. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 6203799216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2*(-3801474)\/(-90)*5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270457 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12\/64902821?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u*u*u\/(u**(-6)\/u)*u))\/u)\/u**2)\/(u*u*(u*(u**(-3\/11)*u)\/u)\/u*u**1))**(-4) assuming u is positive.\nAnswer: u**(648\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (0 + -1)) + -31 + (103 - 80).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/65 - (111\/39 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 124130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b + 115. Let a be u(16). Let y(z) = a*z - 4 + 3 + 4 - 3. Let w(i) = -167*i**2. Give w(y(m)).\nAnswer: -1503*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74.5 + 74.45. What is the closest to v in 0.5, 4, 5, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -24*g + 1080. Let f(v) = v - 48. Let q(c) = 45*f(c) + 2*m(c). Let r(u) = 735*u. Calculate q(r(l)).\nAnswer: -2205*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/11885, 0.5, 452?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12) + (-12)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405814128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 16. Let u be 3\/4 + 25\/c. Differentiate -1 + t**4 + 5*t**2 + t**u - 6*t**2 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3 - 20882*h**2 - 125335*h + 146216 = 0. Calculate h.\nAnswer: -7, 1, 20888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 2, h: 1, s: 10, n: 1}. Give prob of picking 1 h and 1 d.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 17*l**2 + 1136*l - 7457. Calculate q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7189000 rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5 + 21*u + 8*u**2 - 27*u + 3*u**2 - 2*u**2. Let z(h) = 10*h**2 - 7*h + 6. What is -7*q(b) + 6*z(b)?\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.995 + -0.695. What is the closest to -0.2 in -2\/7, -5, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -210 or -45320\/217?\nAnswer: -45320\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192251862?\nAnswer: 2, 3, 11, 970969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -7 + (15 - 17) - 24\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/15)\/(2\/(-20)). Suppose 5*c = 2*u + h, -3*c + u + 10 = -0*u. What is the third derivative of -18*p**2 - p**c - 2*p**4 + 15*p**2 wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**3*v + 15*h**3 + 47*h**2*v**2 - 89*h*v**2 - 2*h*v + v**2 + 4 wrt h?\nAnswer: -42*h*v + 90*h + 94*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 5. Let j be v(-14). Suppose -21*s = -22*s + 15. Calculate the highest common divisor of j and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*c**4\/3 - 199258*c**3\/3 - 300798065*c**2 - 109372332*c.\nAnswer: -c*(c + 9057)**2*(11*c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.258883\nAnswer: -0.658883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2573266.\nAnswer: 2, 1286633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-33) + (-3175)\/275)*-307. What is the highest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67605092263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(5\/6))**(-3)\/(g**(5\/8)\/g*g\/g**(2\/3)))**(-2) assuming g is positive.\nAnswer: g**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1666*j**2 - 9*j + 11. What is the units digit of u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2 + 84*i - 882 = 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 7. Let r be u(6). Let c(n) = n**3 + 15*n**2 - 15*n + 20. Let v be c(-16). Let a(s) = 12*s - 5 + s**2 + v - 5*s + 0. Give a(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Factor 4 + 4*q + 5*q - 2*q**2 - 3*q - w*q.\nAnswer: -2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 454.7 + -474.356. Round p to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 7*t**3\/6 + 9*t**2\/2 - 4*t + 6. Let k(f) be the first derivative of z(f). Find the first derivative of k(b) wrt b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378012919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {t: 4, g: 8, d: 1}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433578868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56411*n**2*s**2 - 226*n**2*s + 36217953*s**2 + 2 wrt n?\nAnswer: 112822*n*s**2 - 452*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:55 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 0 - 10\/(-2). Let k = 12 + -17. Let f be (-2)\/4 - k\/10. Solve -l = -c - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyqyyqyyy. Give prob of sequence yqy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 278341193 to the power of 1\/2, to the nearest integer?\nAnswer: 16684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 232119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13.1608+-22001201\nAnswer: -22001214.1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**3 + g**2)*((-4 + 6 + 0)*(1 - 3 + 0) + 2 - 1 + 1 - 3 + 1 + 0 + 2 + 1 + 0).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 3*k + 957 = 0, 0 = 3*d + 5*k - 925. What is the highest common divisor of 30 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67866442, -135732910, -203599428, -271466020, -339332710, -407199522?\n\"Answer: -4*v**3 - v**2 - 67866437*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 1. Let o = 19 + -17. Suppose -t + 3*t = o. Let i be u(t). Solve -4*n - 4*h + 8 = -i, 0 = -h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 2*g + 4. Let v be a(3). What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*x + 2 - 37 - 5*x**2 + 38)*(0 + x + 0).\nAnswer: -5*x**3 + 117*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2)*(-1 - p**3 + 1) - 26491 + 455*p**3 + 26491 in the form z*p + m*p**3 + l + i*p**2 and give m.\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478262 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -326602106 + 5?\nAnswer: -326602101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35825748.22 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6*-4.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3 - 5.2. Sort k, -1, 3 in descending order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.159 (b) -37\/6 (c) 2.6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k**2 - 36*k + 60 = 0. Calculate k.\nAnswer: -2, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 7576*j**2 - 7576*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 21*j**2 + 46*j - 24. List the prime factors of w(-11).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.22 - 3.42. Which is the smallest value? (a) -4 (b) -17 (c) 8 (d) 3 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 + 10. Let o be c(7). Let d(r) = 34*r**2 - 26*r + 2. Let p be d(3). Calculate the highest common divisor of p and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.3 - -7. Let m = -0.4 + 0.8. Which is the second smallest value? (a) 4 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1166 and 33315.\nAnswer: 38845290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**2 + 899*d - 1764. What is f(93)?\nAnswer: 4002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-6)\/268)*1\/(-2). Let u = 16 - j. Calculate the remainder when u is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1748 divided by 1?\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*z**3 - 8\/5*z - 12\/5*z**2 + 2 + 2\/5*z**4.\nAnswer: 2*(z - 1)**2*(z + 1)*(z + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.009 and 0.36.\nAnswer: 0.00324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -60, 4, 1228 in decreasing order.\nAnswer: 1228, 101, 4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -26*b**2. Let z(v) = 4 - 4 - 19124*v + 19147*v. Give g(z(p)).\nAnswer: -13754*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1082 - -1919. Suppose -3*d + l = -c, -2*d = -4*l - 916 + 358. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/76168 and 8\/409403.\nAnswer: 3275224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 + -1 + (2 - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-1)\/(-112))\/(2\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u**2. Let r(v) be the second derivative of -2*v**3\/3 - 26*v. What is t(r(q))?\nAnswer: -320*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 + -3 - (-34 - -28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -1 + (11 - 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 248773, -1, 1\/4, 0?\nAnswer: 248773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3402, 3378, 3364, 3366, 3390, 3442, 3528, 3654?\nAnswer: 3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*m**3 - 64 + 34 + 41*m**3 + 60*m**3 + 33 in the form i*m**3 + f + j*m + l*m**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + 5 + -14 + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, d: 11, i: 1}. Give prob of picking 1 d and 2 e.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -5533.\nAnswer: 442.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131*-67.\nAnswer: -8777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*r**4*z + 7349*r**3*z - 2*r*z + 1299233*z wrt r.\nAnswer: -1800*r**2*z + 44094*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -10*h**6\/3 + 22*h**4\/3 - 154*h - 121. Let w(a) be the first derivative of k(a). What is the third derivative of w(m) wrt m?\nAnswer: -2400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 9.8. Let k = -9.98 - d. Let y = 0.32 - k. What is the closest to 3 in 1, y, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*k**3*n - k**3*u**3 - 387*k**2 - k*n*u - k*u**3 - 2*n*u**2 wrt k.\nAnswer: -240*n - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t**2 - 34. Let u(f) = -4*f - 29. Let x be u(-6). Let o(n) = -31*n**2 + 67. Let c(s) = x*v(s) - 3*o(s). What is the first derivative of c(p) wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 70 = 4*j + 262, -3*m - 2*j + 149 = 0. Let i = 45 - -4. Let q = m - i. Sort 1, q, -1 in increasing order.\nAnswer: -1, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56096951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 695 + 2305. Suppose -20*c + 5140 = -t. List the prime factors of c.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeteetrtettttee. What is prob of sequence tte?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0 - 6. Let v(u) = u**2 + 3*u + 4. Let z be v(-3). Suppose m + j*t + 2*t = 18, -106 = -z*m + t. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6340 and 35.\nAnswer: 44380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -71.\nAnswer: 92\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and 0.02944.\nAnswer: -0.79488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2287 + -390. Suppose -2*m = 4*l + l - j, m = 3*l + 965. Let t be m\/6 - 2\/(-3). What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8400, -5, -2.1 in descending order.\nAnswer: 8400, -2.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srrxsxtrtr. What is prob of picking 1 x and 2 s?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*a**3*c**2 - 429*a**3*c - 2*a**3 wrt c.\nAnswer: -134*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 16*w - 260 = -9*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4634*q**2\/9 - 72290*q\/9 - 3296.\nAnswer: 2*(q - 16)*(2317*q + 927)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 4*t - 4. Let s(q) = 2*q**2 - 5*q - 5. Let l(a) = -5*o(a) + 4*s(a). Let w(x) = 67 - 67 - 3*x**2. Give l(w(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-3)\/(18\/6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -462488 or -462490?\nAnswer: -462488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5406810 and 1221?\nAnswer: 59474910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*m - 7*m + 9*m + 11 + m + 7*m + m**2 to the form f + l*m**2 + c*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 22*h**2 - 18*h - 26. Let z = -25 + 44. Calculate the remainder when s(21) is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/23)\/((-12)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 230732011 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -968 + 940. Which is smaller: q or -225\/8?\nAnswer: -225\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3009 + 575 - 2658 + 486 + f**3 - 629 to r + w*f**2 + p*f**3 + h*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.67948 and 1.\nAnswer: -1.67948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2708871 and 32465?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 5*m + 24, 3*m = -15. Let r(p) be the third derivative of p**5\/12 - p**4\/24 - p**3\/3 - 6*p**2. Let c be r(f). Solve -4*z + c = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5740, -5440, -5142, -4846?\n\"Answer: -z**2 + 303*z - 6042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 14) in base 9?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-7)\/(-175)*-3*-25?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-2))\/((-2)\/44). Suppose 0 = 5*b - 20*b + 1500. Calculate the common denominator of -9\/8 and (n\/b)\/(2\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 f when three letters picked without replacement from jirkfhiffijirfif?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7302 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*h**2 + 1228142*h + 8831076.\nAnswer: -32*h + 1228142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 21*d**3 + 0*d**2.\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*p - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 5*a - 3*r, 5*r = 6*r. Let h = a - 92. Let f be 266997 - h\/(8\/6). What is f rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 482874, 3, -2 in descending order.\nAnswer: 482874, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*l - 6. Suppose -5*n - 3*i = 533, -l*n + 2*i - 239 = 77. Let w = -63 - n. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:39 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.005 - 18. Let d = m - 0.00500031. Round d to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 273645*m**2\/2 - 136823*m.\nAnswer: m*(m - 273646)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733028 is divided by 43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25754.\nAnswer: 2, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3 - (-2 + 1 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 254468?\nAnswer: 1272340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.112 - -47.112. Let q = v - 47.105. What is q rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6780 by 226.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3536136 and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19901735.\nAnswer: 5, 7, 89, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -57896*w + 2257975. What is b(39)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4358.\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 593999654477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 + -17. Let q be m*(3 - (-11 + 4)). Round q to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 19*f**2 + 55*f - 33. Give d(9).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/((d**(-7\/2)\/d)\/d))*d*d**(-22)*(d\/d**(-5\/2))**(-39) assuming d is positive.\nAnswer: d**(-163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/436464 and -53\/23382.\nAnswer: 1309392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 392 = 22*x - 26*x + 622, -15*r + 101 = x for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*1\/15 - 14690\/(-175). Let s = -84 + r. Factor -s*k**4 + 2\/7*k + 0 + 0*k**3 + 3\/7*k**2.\nAnswer: -k*(k - 2)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 2*f - 3. Let d(k) = -7*k**2 + k - 2. Let p(u) = -3*d(u) + 2*q(u). What is the tens digit of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + r**2 + 4*r**2 + 6*r + r**3 to s*r**3 + i*r**2 + y + w*r and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114546 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*a - 10. Find the second derivative of 12*j**2 - 17*j**2 + 9*j**5 + 5*j**a + 2 + 2*j wrt j.\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.086 (b) 18 (c) 3\/2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 25*n**3\/6 - 11*n**2\/2 + 16*n. What is the derivative of f(c) wrt c?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2431 and 110107657.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 121*w**8\/48 + 439*w**4\/24 + 2*w**2 - 787*w. Find the second derivative of a(z) wrt z.\nAnswer: 16940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -268. Suppose 2*k + 2*k - h = 0. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39150*z**3 + z**6 + 39957*z**3 - 80023*z**3 - 4 + 66*z**2 + 6*z + 2*z**4 - 2*z**4 wrt z.\nAnswer: 120*z**3 - 5496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 22*p - 217*p + 4992 = 189*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 17 + 1223*g**2 + 22 + (2 - 2 - g)*(2*g - 3*g + 0*g) + 6*g**2 - 3*g**2 + g**2 in the form i + h*g + u*g**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.5 - 28. Put j, -15, -3 in descending order.\nAnswer: j, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 495\/(-45)*16\/(-88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 33 = k, 4 = -3*o + 5*k. Let l be 2\/o + 99\/21. Suppose -3 + l = v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 6*g + 18*g + 15*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13386 times 0.03?\nAnswer: -401.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/3, -11, -0.1, 1\/7, 0.04?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49866135?\nAnswer: 3, 5, 11, 31, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvhqb. What is prob of sequence vw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*d + 78 = 0, 4*n - 3*d + 12 = 95. Suppose n = -3*i + 2*p + 3*p, 3*i + 37 = p. What is the common denominator of -27\/10 and (-8)\/16 - 4\/i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 223, 888, 1995, 3544?\n\"Answer: 221*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 979\/5392 + 2\/337. Let b(i) be the first derivative of 0*i - 3\/20*i**5 - 1 + 0*i**2 - z*i**4 - 1\/24*i**6 - 1\/12*i**3. Find w, given that b(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 1:41 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:41 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2296*g + 849*g - 980*g as m + q*g and give q.\nAnswer: -2427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -80, -113, -146, -179, -212?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627568 is divided by 1233.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - -0.4. Let p = n + -0.6. Suppose 0 = a - 3*a + 4. Put a, p, -2 in decreasing order.\nAnswer: a, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-3)*1\/(-3). Let z be -9*2\/c*-2. Let p(q) = -5*q**4 + 4. Let m(g) = 21*g**4 - 17. Let s(k) = z*p(k) + 2*m(k). Differentiate s(w) wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17105101.\nAnswer: 13, 701, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1132548 equal to -1132542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.30111 centuries?\nAnswer: 5161.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w\/(w*w\/w**(-1\/4))*w*w*w\/w**(-15)*w)**(-1)*((w*w*w**(-14)*w)\/w*w**(5\/2))**(-38) assuming w is positive.\nAnswer: w**(1361\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19458764 and -170767.\nAnswer: 19287997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.02 + 2.91. Let c = -1.29 + g. What is the third biggest value in c, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15*(1 + (-8)\/5). Let n(m) = -m + 12. Let y be n(w). Suppose y*i - 20 = 1. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 6:48 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 944920.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6543 + 5?\nAnswer: 6548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 + 190*h**3 + 1840*h**2 - 160*h - 42240 = 0. What is h?\nAnswer: -22, -12, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91.408 or -3\/589?\nAnswer: -91.408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 773, 1605, 2733, 4157?\nAnswer: 5877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40591 from 3972.\nAnswer: -36619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 2*b**2 - 4*b**2 + 4*b**2 + 9*b as p + i*b + d*b**2 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12758 - 12757.9. Sort 27, c, 0.3 in ascending order.\nAnswer: c, 0.3, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18606.8999936 + -18607.7. Let k = 0.11 - 0.91. Let f = z - k. Round f to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 56*d + 5 = -51*d, 7 = 5*p + d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssdsfzfsw. What is prob of sequence zw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*y**2 + 75*y**2 + 65*y**2 + 34*y**4 wrt y?\nAnswer: 816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*u + 18. Let l = u - -14. What is the tens digit of (l + 5)*(1 - -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*1*sqrt(1053)*-3 - ((sqrt(1053) + sqrt(1053) + sqrt(1053)*-1 + -4 - sqrt(1053) - sqrt(1053)) + -2)))**2 + 3.\nAnswer: -1584*sqrt(13) + 67516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - -27. Suppose 4*p + 12 - w = 0. Let v = -4 + p. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90577.6 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 66196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -368997*t + 30. Let q be c(-10). What is q rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*m - 60, m - 51 = 5*n + 153. Is (-970)\/n + 3\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -16725.\nAnswer: 16724.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11.93764ml?\nAnswer: 0.01193764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*o = -167*o. Let t(x) be the first derivative of -10\/3*x**3 - 21 + 0*x + 0*x**4 + 21\/5*x**5 + o*x**2. What is the third derivative of t(h) wrt h?\nAnswer: 504*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-3)\/6*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2330*a - 5731. What is the remainder when i(-6) is divided by 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21150 less than 2?\nAnswer: -21148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.008 + -3.992. Let t = -11\/14 - -15\/28. Let p = -0.05 - -0.25. What is the nearest to p in t, j, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -12243.69.\nAnswer: -36731.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*(-1)\/2)\/(-1). Suppose k + 2*q - 47 + 7 = 0, a = 5*q - 5. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -608830 from 0.\nAnswer: 608830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 9. Let i(l) = l + 1. Let a(b) = 5*i(b) - p(b). Let x be a(-11). Let g(d) = -2*d - 5. What is the smallest common multiple of g(x) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -321*w**2. Let g(v) = -8*v - 94. Determine g(d(q)).\nAnswer: 2568*q**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/56 and (2\/21)\/((-120)\/(-44) + (-34)\/561).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y - 21. Let w(m) = -38*m - 66. Let r(o) = 10*i(o) - 3*w(o). Let t(c) = c - 2*c + 1 - 2 + 0. What is -r(a) + 12*t(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21757*j - 14044*j + 23139 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1622 is divided by 203.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/26*(-3887)\/299. Let z(r) be the first derivative of -3\/5*r**5 - 3\/2*r**4 + g*r**2 - 12*r + 3*r**3 - 8. Solve z(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94095999 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 47 - ((0 - 0) + 0 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 10\/51, -4, 0.45?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1885*y = 1886*y - 1792. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 2.8. Let u = l - -3.2. Let s(q) = -3*q**3 - 18*q**2 + 20*q - 3. Let d be s(-7). Sort 2\/5, u, d in descending order.\nAnswer: d, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2))\/((9975\/560)\/(81\/(-36)))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.819274 kilometers to meters.\nAnswer: 9819.274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13244, -55538, -126878, -227264?\n\"Answer: -14523*t**2 + 1275*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667557563 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 + 545\/3. What is the third biggest value in i, -2\/7, 0.3, -1\/18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (0 + 1) - -3. Suppose 0 = -4*o + 3*k + t, 2*o - 5*k + 3*k = 0. Solve 10 = 2*z, 4*z + o = 4*q + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73\/110 - 4\/11. Let p(g) be the second derivative of -g - 7\/15*g**3 + 2\/5*g**2 - j*g**4 + 0. Find k, given that p(k) = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14362699, 28725389, 43088079?\n\"Answer: 14362690*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10410 and 673845.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 125150210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2136305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162692894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -22*h**3 + h**2. Let y be a(-1). Let c be ((-68)\/y - -3)\/1. Let m = 41\/115 + c. Put m, -0.1, -0.5 in descending order.\nAnswer: m, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -1 + 65*v - 242*v**2 - 2 + 7*v**3 + 178*v**2 - 5 = 0.\nAnswer: 1\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 17 = 29. Suppose -5*l = -3*c - l + 364, -u*c - 4*l = -276. What is the least common multiple of c and 3?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -83.24830037.\nAnswer: -95.24830037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160120.\nAnswer: 2, 5, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 21*t + 43. Give w(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 14. Let u be b(-14). Suppose 5*y - 25 = u, n - y + 2*y = 127. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 9*g - 5*g - 4*o, 176 = 5*g + o. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-20))\/((-9)\/24). Let b(w) = -7*w**2 + 8*w**3 - 6*w**3 - 17 + 6 + p*w - w**3. Let c be b(7). Solve -c*o + 12 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*h**2*w**3 + h**2*w - 3*h - 3*w**3 wrt h?\nAnswer: -350*w**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6543488\/(-18660800) - 4\/428.\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 4*i**2 - 5*i. Let u = 5 + -2. Calculate the remainder when q(-3) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iryg when four letters picked without replacement from {y: 1, r: 1, i: 3, g: 5, b: 3}.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 42, 86, 146, 222?\n\"Answer: 8*z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 times -0.18?\nAnswer: -192.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/8088 and -21\/70612.\nAnswer: 142777464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 - 2720*h**3 - 5428*h**2 - 2712*h = 0. Calculate h.\nAnswer: -678, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 213, 765, 1681, 2961, 4605?\n\"Answer: 182*x**2 + 6*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 + 1556 = 5*f + 5*n, -1932 = -4*f - 5*n. What is the remainder when f is divided by 133?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5327\/25874*102\/15\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + -12 + (-1 - (-1 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {d: 7, r: 2, o: 1, y: 4, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21672 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -4540954 and 0.014604.\nAnswer: -4540953.985396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1387.889ml?\nAnswer: 1.387889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - f**4 + 0*f**4 + (2 + 2*f**3 - 2)*(-2 - 3*f + 2)*(-2 + 1 - 1).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69.18 + 70.08. Put 4, g, 4\/3, -0.2, -2 in increasing order.\nAnswer: -2, -0.2, g, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j + 4*v = -17, 2*v = -2. Suppose -l + 3*x = -2 - 0, -j = -3*l + 2*x. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 12:48 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*i**2 + 17762*i**5 - 90*i**2 + 15252*i**5 + 11972*i**5 + 160*i**2 + (-2*i**2 + 3*i**2 - 2*i**2)*(2*i**3 - 2*i**3 + i**3).\nAnswer: 44985*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*z = -36, 763*z - 764*z = 2*l - 15. Solve 15*k - 18*k + l*v + 32 = 0, 3*k + 4*v + 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 1 + -13 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/9*(-14 + 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/98*(-28)\/(-6). Suppose 4*d = -2*y + 16, -o*d = -2*y - 2*d + 22. Let z = y - 7. Let n(a) = a**2 - 2*a + 3. What is n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7755*b**4 + 8553*b**3 + 942*b**2 - 1668*b - 72 = 0.\nAnswer: -2\/5, -2\/47, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 9) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 183, 389, 665, 1005, 1403, 1853, 2349?\nAnswer: 2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6793966407 to the nearest integer?\nAnswer: 82426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 97.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*f - 25 = 10, -5*h + 15 = 2*f. Suppose 2*p - h*b = 6*p - 380, 4*p - b = 356. What is the remainder when p is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**3 - q**2 + 2*q - 1. Let k be p(1). Let j be (-4 - 34\/k)*3. Suppose -j*l - 80 = -6*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - q - 12. Let n be c(6). What is the greatest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62513796 is divided by 760?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*l + 2*l. Let v(t) be the first derivative of l*t**2 - 1 + 0*t**3 + 1\/2*t**4 + t. What is the first derivative of v(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 4. Let t(d) = -1. Let z(c) = -b(c) - 6*t(c). Let u be z(6). Solve -a + u = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 21*k - 14. Suppose 0 = k*b - 47 + 43. Differentiate 26*l**2 - 23*l**2 + 23*l**b + 20*l**2 - 16 with respect to l.\nAnswer: 92*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -291857 times -0.49\nAnswer: 143009.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose 11478*j - 24 = 11472*j. Solve j*f + 7 = -v - k, v - 2*f = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:12 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (6 + (-13 + -12 - -9) - (3 - 59)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/2)*y)**(-16)*(y**1)**(-39) assuming y is positive.\nAnswer: y**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(5\/6)\/s*s)\/s*s)*s*s\/(s*((s**(-2\/3)*s)\/s*s)\/s*s*s)*s*s**(-2\/7)\/s**(-1\/12))\/((s**3\/(s\/(s**(-2)*s)))\/(s**2)**(-4\/33)) assuming s is positive.\nAnswer: s**(-565\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 456 + -420. Let z(y) = 8*y. Let a be z(5). Let h be -3 + 1 + a - 2. Is l bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**3 + o**5 + 6*o**3 + (-3*o + 3*o - 3*o**2)*(-2*o**3 + 2*o**2 - 2*o**2) + 3*o**5 - 13*o**5 + 5*o**5.\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 105*j**3 + 7281*j**2 + 104675*j + 97500.\nAnswer: -(j - 156)*(j + 1)*(j + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(180) - -2*sqrt(180))\/sqrt(4))\/(3*sqrt(9)*-1).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6998 - -23404.3002. Let c = -23344.074 + l. Let a = c - 63. What is a rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134614.\nAnswer: 2, 67307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 347681.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 3*m - 3*m + (m - m - 2*m)*(-571 + 571 + 44*m) to b + c*m + u*m**2 and give u.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**3 + 8*f**2 - 8*f - 3. Let v(u) = u**3 + u**2 - u - 1. Let d(z) = t(z) - 3*v(z). Let h = 37 - 21. Let b = 10 - h. Determine d(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 - x**3 - 2*x - 8. Is 8 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose -c + z*v = -2*c + 2, 4*c + v - 19 = 0. Let a be (1\/3)\/(c\/75). Calculate the greatest common factor of 35 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p - 1\/8*p**4 + 3*p**2 + 1\/10*p**5 - 58\/3*p**3 - 2. Find the first derivative of z(d) wrt d.\nAnswer: 12*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284341580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (25 + -21 + 4 + 5 - 6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 7*n**2 - 5*n + 2. Let d be q(-6). Let p be ((-69)\/(-60) + -1)\/(16\/(-80)). Which is the third smallest value? (a) 4 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813632 + 209.6.\nAnswer: 813841.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49373209 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/10)\/((-72)\/(-160))*(-15)\/(-8)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 2*s**2 - 3*s + 2. Let p be o(-3). Let l be ((-6)\/(-5))\/((-9)\/30). Let j = l + 3. Put -5, j, p in descending order.\nAnswer: p, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -31. Suppose 10 = -f + d. Suppose f*s + 10 = s. Which is the second biggest value? (a) s (b) 0.7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*n = h - 11, -2*n + 2 = 2*h. Calculate the lowest common multiple of (-5 - 0)*(h - 0) and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6905, 6889, 6885, 6893?\n\"Answer: 6*y**2 - 34*y + 6933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 7)\/(2\/(-6)). Suppose 0*p - 6 = i*p. Let j = p - -3. Calculate the smallest common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 4*t - 3*t + t - 4*t + 2*t + (1 - 1 - t)*(-3 + 3 + 1) + t + t - 3*t + 4*t - 2*t - 5*t + (2*t - 3*t + 0*t)*(-1 + 3 - 1) + 13*t + 18*t - 16*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 5*f + 54 = 5*k + 99, 4*f - 28 = -86*k + 89*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-3) + 286\/6 is divided by (-158)\/(-10) + (-8)\/(-40).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5021 (base 6) in base 8?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57264308 is divided by 5571?\nAnswer: 5570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.188278771 rounded to 1 dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5. Let s(x) = -113*x + 96. Let t(q) = 2*i(q) + s(q). List the prime factors of t(-9).\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11602356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 12293*p**6\/120 + 1033*p**5\/5 + 25*p**2 + 104. What is the third derivative of q(f) wrt f?\nAnswer: 73758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 - 257. Calculate the lowest common multiple of 58 and a.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweccaaeeccwcew. What is prob of picking 1 a, 1 c, and 1 e?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 2*d. Let b(l) = -5*l**2. Calculate a(b(k)).\nAnswer: 75*k**4 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 29 (c) 8\/19 (d) 1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1489 = -169*b - 475 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1088 and (3\/(-170))\/(2013\/(-1380)*4 - -5)?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 16, 22, 32, 46, 64, 86?\n\"Answer: 2*o**2 - 4*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 5)\/(-2)*(-2)\/14 + 2?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -9. Suppose -5*y - 25 = a + a, -a - 2*y - 10 = 0. Let w be 3*z + (-1 - a). Solve 4*l = -w*q, -q + l + l = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 65 + 63. Let k = -23 + 27. Solve v = -k*i - 4*h, -2*h + 20 = -7*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = q - 68, -3*q = 3*o + 76 - 64 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 623 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10)*10\/2. Suppose -v - 9 = -y*v. What is the greatest common divisor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 + o. Let q(d) = 4*d**2 + d - 2. Let k(y) = 5*y**2 + y - 2. Let r(z) = 2*k(z) - 3*q(z). Calculate -2*a(c) + r(c).\nAnswer: 2*c**3 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102*(9\/4*622\/933)\/(-3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -672261533?\nAnswer: -672261526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 8328624*l - 8670747216672 = 0. What is l?\nAnswer: -2082156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 85. Let g be (-1 - 0)\/(l*3\/(-216)). Sort -1, g, 3.\nAnswer: g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -642229*t**4 - 2543289?\nAnswer: -2568916*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5745736?\nAnswer: 2, 709, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 33*f - 75. Let r(d) = -6*d**2 - 65*d - 150. Let c(k) = 5*j(k) - 3*r(k). Factor c(z).\nAnswer: 3*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/12 + 13*j**3\/3 + 15*j**2\/2 + 207*j - 2. Let q = -4 + 26. List the prime factors of w(q).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91922 is divided by 43768?\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1107023*l**4 - 19796*l - 21 wrt l?\nAnswer: -13284276*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 43 + 1)*(z**2 - 2*z**2 + 0*z**2).\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*i**3 - 5*i**3 + 17*i**3)*(4*i - 10*i - 5*i + (2*i + 1 - 1)*(1 - 4 + 4))*(-4*i + 16*i + 2*i).\nAnswer: 2520*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/12*4*-3. Let y be 2\/1414*-216 - 0. Let c = y + 2\/101. Is c at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58297\/36 (b) 5\/2 (c) -1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/3)*k)\/k*(k*k**0*k)\/k*k**(-6\/11)*k\/k**7*(k*k**0*k)\/(k**(4\/3)*k*k)*k**(3\/2)*k*(k\/(k**6\/k*k))\/k assuming k is positive.\nAnswer: k**(-575\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:09 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**2 - 9*l + 13. Let s(j) = -2*j**2 - 2*j + 3. Suppose 3*p + 31 = 5*v - 0*v, 3*v = 15. Give p*m(i) + 9*s(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 495097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 1 + 13. Let v = 11 + f. Solve -5*s + 2*u = -2, -7*s + 2*s - 5*u - v = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385992 and 864?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = -o - 2*o, 4*y + 1 = o. Suppose 5*j = -j - 18. Let p(l) = 3*l**3 + 61*l**2 + 17*l - 66. Let c be p(-20). Put -5, c, j, y in ascending order.\nAnswer: c, -5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18203556 = 18203555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*8\/6*(-36)\/(-360)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7*l - 6. What is the least common multiple of ((-42)\/(-9))\/(7*6\/63) and q(4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 345*i + 37. Is t(13) a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76320?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-t - 3*t + 17*t)*(1 + 4 - 3).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.29 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/(-48) + 3\/4. Let d(v) = 0 + v + 0*v + 2. Let u be d(0). Solve -u*x = -r - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -515\/2348 + -18\/587. Sort x, 2, -541 in descending order.\nAnswer: 2, x, -541","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -19772\/38281?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five ninths of a day?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -444, -1803, -4078, -7269, -11376?\n\"Answer: -458*t**2 + 15*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from {p: 12, w: 7}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q = 5621 - 5453 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 40*c + 44. Let y be a(7). Suppose 4*f = -3*l + 30232, y*f = 10*f + l - 7559. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363095 - -614952. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -42*q**2 + 5*q - 3. Let a(h) = -h**3 - 3*h**2 - h + 1. Give -2*a(x) - r(x).\nAnswer: 2*x**3 + 48*x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117094130?\nAnswer: 2, 5, 17, 31, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhrqkhqrrhrkhk. What is prob of picking 1 q and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*u - 196 + 33*u + 64*u + 2*u - 3*u - 2*u + (5 - 1 - 3)*(-3*u + 4*u + 0*u).\nAnswer: -4*u - 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.984 - -26. Let o = f + 9.984. What is the fourth biggest value in o, 5, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -6. Let w be (z - 1)*1\/(-2). Solve -w*l - 4*p = 8, 2*l + p - 6*p = 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*i - 15, 10*a - 15 = 15*a. Solve -5*q + 2*q - i*c = 15, -c - 3 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s, 0 = q + 5*s + 2. Suppose -2*b = -0*b - q. Calculate the highest common divisor of 32 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (-6 + (-343)\/(-14)) and 5\/399?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 3629?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-5))\/(6\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -33, 2, -5.\nAnswer: -33, -5, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*a = 0, 2*k = a + 2*a. Let h = k - -2. Solve -8*v + 3*v = 2*u - 35, -5*u - h*v = -35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-57)\/(-171) - 2\/6. Solve -5\/3 + n*w - 5\/3*w**4 + 0*w**3 + 10\/3*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from ggygygycggyecgggee.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*v - 1. Suppose v*o - 28 = t, 0*o + 3*o = 2*t + 44. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 3*o - 4*o)*(-10 + 10 + 4*o**2).\nAnswer: -20*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 7:00 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10\/89 (b) 1\/6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 8*q**2 + 7*q + 5. What is the tens digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyur. Give prob of sequence uyr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7709*w. Let x(k) = -10*k**2. Calculate x(r(l)).\nAnswer: -594286810*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/5 + u**4\/5 + 21*u**3\/5 + 47*u**2\/5 + 8*u + 12\/5 = 0?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -37.91, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*q - 350945, 8*q = 6*q - 6. Suppose -13*z = -b - 25929. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/42)\/(4\/6). Let y = -26 + 38. Let d = y + -12.1. Which is bigger: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.2, -2, -1\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 7*c + 23. What is n(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 240 = -4*q, 4*q = l - 0*l + 224. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80*4\/(-8))\/2)\/(54\/27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)\/h)**(1\/7))**(5\/4) assuming h is positive.\nAnswer: h**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58934542 is divided by 1403203?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152675.\nAnswer: 5, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 11100 = -d. What is the remainder when d is divided by 553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 110. Which is the second biggest value? (a) 4 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2. Let j(h) = 8185*h**2 + 6. What is j(w(r))?\nAnswer: 8185*r**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -34*q**3 - 10*q**2 + 32*q + 32. Let g(j) = 11*j**3 + 3*j**2 - 11*j - 10. Determine 16*g(z) + 5*i(z).\nAnswer: 6*z**3 - 2*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/((-315)\/(-6))*(8 + -5). Let y = -2\/635 + 1316\/14605. Let t(s) = s + 1. Let k be t(4). What is the second biggest value in k, -4, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 6, -29 = 5*j - 0*k + 3*k. Let t = 13\/2 + -27\/4. Which is the second smallest value? (a) t (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 6*k - 3851. Let t be w(0). Let j = 92357\/24 + t. Find the common denominator of ((-23)\/(-1))\/((-9)\/3) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*q*t**2*u + 120*q*t**2*v + t**3*u - 3*t**3*v - 2*t**2*u*v + 144*u wrt v?\nAnswer: 120*q*t**2 - 3*t**3 - 2*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176680885 to the nearest integer?\nAnswer: 13292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*r + 2*z + 2, -3*r + z = -4. Let l be (r\/6)\/((-3)\/(-225)). Let f = 35 - l. Calculate the remainder when 18 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 1345\nAnswer: -1344.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22357, 89445, 201259, 357799, 559065, 805057, 1095775?\n\"Answer: 22363*l**2 - l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -14, -31, -52, -77?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26647495 is divided by 1140.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 2. Let q(l) = -115*l + 4. Determine -q(y) + 2*z(y).\nAnswer: 113*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1467 + 2037 = 146*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - 154 + 87 + 77 + 6*y to v*y + w and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -53, -1, 23, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -39.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - -11)\/(0 + 12\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/9 + 16\/3. Let w(m) = -m - 8. Let f be w(-4). Let n be 1 + 294\/9 + f\/u. What is the highest common factor of n and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**3\/3 - 3*w**2 + 9*w - 2. Let v be y(-7). Suppose -2*r + n + 1 + 4 = 0, 4*n = -v*r + 10. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*q**4 + 76*q - 122*q**4 + 5*q**4 wrt q.\nAnswer: -768*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3389863\nAnswer: -3\/3389863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 - 3638*z**2 - 254 - 2*z**3 + 452 - 198 to y*z**3 + c + j*z + d*z**2 + o*z**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/((-3)\/102). Suppose j - k = -2. Calculate the remainder when 1*56\/10*5 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11182.\nAnswer: 1\/11182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 73855.28 tonnes?\nAnswer: 73855280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 3*a - 3. Let o be l(-3). Suppose -4*z = 3*d - 2*d - o, -4*z = 2*d - 10. Suppose -q = 4*q - 10. Put d, q, -2 in decreasing order.\nAnswer: q, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21821, -22129, -22437?\n\"Answer: -308*s - 21513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {g: 4, d: 1, m: 1, i: 4, s: 2, z: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*x + 3 = 0, -11*d + 3*x + 12 = -12*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 676497*h**3 - 2033633*h**2?\nAnswer: 4058982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*(3 + -1*sqrt(208))**2 + -3)*6.\nAnswer: -1302 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*o - 4 = 0, 4*p - o + 11 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 33. Suppose 2 + 6 = -2*z. Let u = z + g. Solve 1 - 11 = -2*y, -u*f + y + 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 12. Let f = 0.029 + 1.971. What is the second smallest value in -0.3, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4, -n - 2*t = t - 74. Suppose 3*a = -p + 39, -2*p + a + n = 6*a. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7672113 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 28*u - 12. Let c be (-2)\/6 + 88\/12 + 2. Let h be j(c). Calculate the greatest common factor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-75) - (-17)\/(-15) - -3. Suppose 0 = 4*s + m*s - 120. Calculate the greatest common divisor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d. Let k(s) = -s. Let b(i) = -3*i. Let f(w) = 3*b(w) - 15*k(w). Calculate f(t(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 154 + 9 - 6*n**3 - 78.\nAnswer: -6*n**3 - 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*p + 340*p - 8 = 2*a, 24 = 4*p - 4*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 117*m**2 - 467*m - 6. What is u(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3493 - 2602. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.881, -539, 0.95?\nAnswer: -0.881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20\/691 - 32033\/80156. What is the common denominator of (-2)\/(-6)*276\/(-32) and o?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/6*(-42)\/49.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*c + 4*i, -5*c + 101*i - 147*i = 148 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 54, 111, 190, 291, 414?\n\"Answer: 11*k**2 + 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5 + x**4 + 5*x**3 + 3*x**2 = 0. What is x?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*l - l - 4, n = -3*l. Suppose -n*z + 11 = 5. Let h(q) = 2*q + z*q - q - 1. Give h(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 734?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 4, t: 2, k: 1}. What is prob of sequence twt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39\/4 - 10. Let w = -1 - -3. Let n = w - -2. Sort n, 1, u in increasing order.\nAnswer: u, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 - 8005*r + 2.\nAnswer: -8005*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 24)*(0 - -1)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65582317 and 717?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 8*y**2 - y.\nAnswer: -8*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/13492?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 + -1 + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29627 = 29646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19083.\nAnswer: 3, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 13*p**2 + 8*p + 15. Let c be b(-6). Solve 0 = c*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -30. Let i = -11 + g. What is the derivative of -9*d + 7 + 9*d + 5*d**i wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22667 - -22666.99981128. What is x rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 44. Which is the third biggest value? (a) -2 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 2115, 4964, 9141, 14754, 21911, 30720, 41289?\nAnswer: 53726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u + s, -4*u + 8 = -2*s - 18. Solve j - 22 = 5*a + 5*j, 0 = 3*a + j + u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-375)\/(-135) + (-4)\/(-18). Suppose 0 = 3*t + 4*u + 44 + 4, -w = u. Calculate the common denominator of -10*(t\/(-176))\/(-3) and -71\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - 7 + 7 + (3*g - g + 0*g)*(-g - g + 3*g) + 2*g**2 + g - g + 1 - 2*g**2 - 1.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -29 + (-3)\/((-6)\/(-4)). Let f be y\/(-11) - 3\/1. Let i = 0.2 - -0.1. Which is the second smallest value? (a) f (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5498869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 3, -825, -14, 2, -2 in descending order.\nAnswer: 5, 3, 2, -2, -3, -14, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21494 is divided by 3646.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 6*j**4\/5 + 7746*j**3\/5 + 336144*j**2\/5 - 343896*j\/5 = 0.\nAnswer: -1246, -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:01 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1350*l**2 + 1345*l**2 - 6*l**4 - 5*l**4)*(4 - 1 - 1).\nAnswer: -22*l**4 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(70)\/(sqrt(10)*-1) + -1.\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 2*a - 1. Suppose 3*m + 5*w - 2*w - 18 = 0, w = -4*m + 18. What is v(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -4*l + 79. Let o = l + 16. Solve o*c + 0 = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9539 > -3653208\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - r. Let y(u) = 9*u**2 + 6*u. Suppose 4*k + k = 5. Let b(p) = k*y(p) + 6*x(p). Let w(v) = v. Give b(w(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*m - 21948, h + 3630 = -4*m - 3706. Round h to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9 = 2*m - 5*m, 0 = -2*x + m + 3. Suppose 0 = 4*i + 4*d - 68, -2*i - 4*d + 32 = -x*i. Suppose -2*g + 171 = 5*q, q = 2*q - 5*g - i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -63772*s + 191313. Calculate p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = 0, 3*k = 4*o - k. Let x(j) = -53*j. Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 5*x - 2. Let l be z(0). Let y(m) = 63*m**2 - 9*m - 20. List the prime factors of y(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j)\/j*j*j)**(2\/65)*((j*j\/((j*j**(25\/2)*j*j)\/j)*j*j)\/j*j*j)\/(j**8\/j) assuming j is positive.\nAnswer: j**(-425\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -431, -443, -455, -467?\n\"Answer: -12*l - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*d**3 - 239*d**3 + 766*d**3 - 258*d**3.\nAnswer: 44*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 9*s - 1. Let x be b(-8). Suppose 0 = 3*l + x - 28. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - 76. Let z = m - 46. What is the second derivative of 172 + 2*a - 172 + 35*a**z wrt a?\nAnswer: 210*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448102.4 - 0.1.\nAnswer: 448102.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071*-204.\nAnswer: 14.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 0.033, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -209939 + 0?\nAnswer: -209939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18763140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*v = -v + 21, 5*v + 3 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221010 + 33010223?\nAnswer: 33231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6976 + 6975.72. What is the second smallest value in -7, t, -1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*i - 2 = -3*d - 259*i, -d - 4*i + 10 = 0. Solve b = -l, -4*l + d*b - 4*b = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*d - 0. Is 3 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 732.4815t?\nAnswer: 732481500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233359180*p**3 + 278928722*p**2.\nAnswer: -1400155080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.7 * 1.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34770, -69449, -104060, -138603, -173078, -207485, -241824?\n\"Answer: 34*h**2 - 34781*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 15, y: 4}. What is prob of sequence ryy?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 853*o + 26510. Determine c(30).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871 is divided by 94?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - t)*(1 + 3 - 2)*(-29*t**4 + 80*t**4 - 32*t**4 - t**4 - 3*t**3 + 3*t**3 + (0*t**3 + t**3 - 2*t**3)*(4*t + 0*t - 2*t) + t**4 - 4*t**4 + 0*t**4).\nAnswer: -52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 11 + 2131*j**2 - 10 - 155*j**2 to c + x*j**2 + m*j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/510 + 121*d**4\/102 - 14641*d**3\/51 - 208*d**2 - 4*d. What is m in l(m) = 0?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030*p = -15183 - 12627 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(272) + sqrt(272)*-1*-2 - (1 + 1 + sqrt(272))) + -3)**2.\nAnswer: -64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5515275 and 8766?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.001438036 * -0.08.\nAnswer: 0.00011504288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h - 2*r - 12 = -22*h, -3*h - 6 = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a. Let b(z) = 8*z**2 - 5*z. Let x(y) = 2*y - 3*y + 2*y**2 - 2*y + 2*y. Let o(c) = b(c) - 5*x(c). Determine m(o(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35 and 0.0619303.\nAnswer: 2.1675605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 248\/16435?\nAnswer: 248\/16435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*a*p**2 - 388054251*a - p**4 + 2917*p**3 with respect to p.\nAnswer: 148*a*p - 4*p**3 + 8751*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from ktktk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 12 + -9 + 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 2. Let j be i(0). Suppose 3*v = 0, 5*v = -g + j*v + 5. Suppose -g*d + 36 = p, -5*d + 3*p = 16 - 68. Solve -3*b = -d*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:17 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -3. Let k be (30\/9)\/((-2)\/j). Solve 2*w + k = 2*o, 2*w + 5 = -3*w - 5*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 586 - 562. Let p = 6 - 3. Differentiate 3021*h**3 - t - 3021*h**p + 4*h**4 wrt h.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 8*h + 15 = 0. Let j = 17 - 16.1. Let b = j - 1. Sort h, 2, b in decreasing order.\nAnswer: 2, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7910324869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99798151.\nAnswer: 107, 181, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2855506 and 7.\nAnswer: -1.9988542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhgghggnh. Give prob of sequence gg.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 5208?\nAnswer: 20832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.062.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -356 - -359. Let i = -0.1 - -0.1. What is the third biggest value in -4, g, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/3 + 3322*u**3\/3 + 492499*u**2 = 0.\nAnswer: -2793, -529, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.3, 3401, -7, -3\/5 in decreasing order.\nAnswer: 3401, 1\/6, -0.3, -3\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.4 + 41. Let i = -0.08 - 0.02. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -36*a**2. Let d(u) be the third derivative of -7*u**6\/360 + 85*u**3\/2 + 106*u**2 - 2. Let v(w) be the first derivative of d(w). What is k(v(c))?\nAnswer: -1764*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(80)) - ((sqrt(7) + sqrt(63))*5 + sqrt(63)*2)**2.\nAnswer: -4732 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-37))**(3\/41)*(t*t\/(t**(-5)*t)*t)\/(t\/(t**(1\/2)*t))*(((t*t**(-2)*t)\/t)\/t)\/(t*t\/((t**(5\/6)*t*t)\/t*t*t)*t*t) assuming t is positive.\nAnswer: t**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -848*j + 5879. What are the prime factors of l(-26)?\nAnswer: 3, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883*y**3 - 5*y**2 + 5*y**2 + 883*y**3 - y - 2639*y**3 + 880*y**3.\nAnswer: 7*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165477, -165478, -165479, -165480, -165481?\nAnswer: -165482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 291*o - 921. Let z(i) = -58*i - 35*i + 12*i + 8*i + 230. Let y(w) = -2*v(w) - 9*z(w). Find the first derivative of y(h) wrt h.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943480.\nAnswer: 2, 5, 7, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927705?\nAnswer: 3, 5, 23, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-170)\/(-12) + -6 + -7)*(-11 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6416 is divided by 3124.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 72 - 82 + 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37\/5 of a millennium?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 5)*(-2)\/(-4). Solve r = g - x + 5, -5*x + 3*x + 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 28953\nAnswer: 231624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 18*a - 13*a. Solve 11*v = a*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:15 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17)\/9*((-200)\/(-70))\/5 and -26\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -79, 0.2, -3, -193, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 2, m: 2, o: 6, t: 1, w: 3}. What is prob of sequence tovo?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 20*p - 41. What is q(13)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 8. Let m be i(-3). Let w(j) = -j**2 + 22*j + 34. Let c be w(m). Solve c = -4*k - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssll when four letters picked without replacement from {s: 2, l: 2, w: 5, i: 9}?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -528\/29 and 123 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -196. Let b = -70 - u. Calculate the lowest common multiple of 8 and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-24)\/40*-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.078.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*r + 2961*g**2*t - 5*g*t - 31*r*t + 13722*t wrt g?\nAnswer: 2*g*r + 5922*g*t - 5*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 40095?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-14) + 12\/28. Let i(b) be the third derivative of -1\/15*b**5 + 0*b**4 - 3\/2*b**3 + 0 + 0*b - 9*b**j. What is the first derivative of i(z) wrt z?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 6*c**2 + c + 3. Let h be z(4). Suppose -4*x - 11 = -h. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/4 - 1660*o**4 - 11061987*o**3\/4 - 32707598*o**2 + 397622005*o - 823694700 = 0.\nAnswer: -3314, -20, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.81 + -0.19. Let f = -49.00077 - s. Round f to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**2 - 195*y**2 + 2 - 17*y**2 - 111*y**2 + 16*y**2 in the form a*y**2 + v + w*y and give a.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*h**2\/7 - 193*h\/7 + 2.\nAnswer: (h - 2)*(93*h - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -98*w**2 + 11*w. Let d(i) = 18*i**2 - 2*i. Let m(f) = 11*d(f) + 2*n(f). Let x = 25 - 23. Let u(h) = 0*h**2 - h**x - 2*h**2. What is u(m(y))?\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40149533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 5*p**4\/24 + 2*p**2. Let b(s) be the third derivative of 0*s + 0 + 0*s**3 + 0*s**4 - 4*s**2 - 1\/30*s**5. Calculate u(b(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let h be (61\/(-62) - (-1)\/1)*(-260)\/390. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1176, -269, -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2011?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1246063 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 33\/592?\nAnswer: 33\/592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + -9 - 2) + (-81 - -10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + 4147\/33. Let q = u - 123. Determine l, given that -12\/7*l + 18\/7 + 2\/7*l**q = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/((-19)\/228)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42490984 rounded to three dps?\nAnswer: 1.425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 4. Let v be i(4). Solve -4*a = -v*g - 7 + 27, a = -3*g - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p - 1\/4*p**4 - 1\/2*p**3 - 8*p**2 + 1\/70*p**7 + 0 + 1\/20*p**6 + 0*p**5. Factor w(z).\nAnswer: 3*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -22*q. Solve 3*w + 5 + 10 = q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -45, 3, 3\/4, 5408935, 3\/5?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1224)\/(-374))\/(42\/(-924))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*g - 31*g + 71*g + 25*g + 215*g.\nAnswer: 507*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -1. Let q = 5 - h. Which is the nearest to 2? (a) 0 (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/(-78))\/8)\/((12\/16)\/((-90)\/(-20))).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**7\/90 + l**6\/180 + 7*l**5\/180 - l**4\/36 + 49*l**2 + 2. Find s, given that r(s) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*g + 2. Calculate the remainder when 41 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*k + 208 = -322*k + 12*c, 0 = k - c + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/3)\/(38\/57)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from ggukaaganup?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/1027077 or 1?\nAnswer: 14\/1027077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53977, -107559, -161141, -214723?\nAnswer: -268305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 33611090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4888, -9799, -14734, -19705, -24724, -29803, -34954?\nAnswer: -40189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(4\/9)\/g*g**2)\/(g\/g**(-1\/4)*g*g**(-1\/6)\/g) assuming g is positive.\nAnswer: g**(85\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.03942 * 97\nAnswer: 3.82374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-129)\/215 + 56\/85. Sort f, -2\/3, -0.2, -4 in descending order.\nAnswer: f, -0.2, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aatvvvtatatvtaetaatt. What is prob of picking 2 a?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h**2 - 3 + 50 - 9 + 4*h**2 - 3*h**2 to k*h + u*h**2 + s and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.227983 litres in millilitres?\nAnswer: 3227.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 8*c. Calculate q(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*(sqrt(192) + 0 + sqrt(192)) - ((sqrt(192) + -2 + sqrt(192) + -2 - sqrt(192)) + sqrt(192))))**2.\nAnswer: -27648*sqrt(3) + 995904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m - 244*m + 8663 + 8584 = 2895 for m.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 123 - 147. Let r = k - -58. Suppose 3*c - x + r*x - 30 = 0, 0 = 4*x - 16. Solve 2*i = c*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 3*f + 3. Suppose 14*v + 221 = -661. Let x = v - -61. Give i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(11) + ((3*sqrt(121))\/sqrt(11))**2 - sqrt(11)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 51.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 8. Let m be y(-6). Suppose 3*j = m*j + 8. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 5\/4*k**4 - 1\/30*k**6 - 3\/5*k**5 + 92*k + 0 + 13\/3*k**3 + 0*k**2. Factor z(l).\nAnswer: -l*(l - 2)*(l + 1)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -4*d**6\/9 - 4*d**5\/3 - 2*d**4\/3 + 116. Factor u(f).\nAnswer: -4*f**3*(f + 2)*(2*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 11 + 1. Let i(q) = -x + q + q - q. Let p be i(7). Which is the nearest to -0.1? (a) p (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 213068.5 and 0.5.\nAnswer: 106534.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11374 and 0.4.\nAnswer: -11373.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 26. Suppose 49 = n*v - 14. Suppose -u = t - v, -3*u + t + 23 = 2*u. Solve -3*a + 12 = -3*k, -2*a - 21 = u*k + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 72*c - 1353*c - 627*c in the form x*c**2 + t + s*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:50 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 4*f + 26, 4*f - 24 = -76*n + 78*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/11*(-8657)\/(-2361)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55113482.\nAnswer: 2, 27556741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -3, -2\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 4. Let p be k(-5). Let j be -17 + (p - 2\/(-2)). Let f = -9 - j. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - b**2 + b. Let o(r) = 3*r**3 + 4*r**2 - 2*r + 9. Let x(m) = 2*i(m) - o(m). Suppose 2*a + 35 = -3*a. Does 12 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 165228 = -4*a + 323525, -s - 2*a + 97747 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + m - 14, -1 = 2*m - 9. What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/8, -0.0749, 2\/5?\nAnswer: -0.0749","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1716 = -115*b + 124. Suppose -10*g = -12*g + 4. What is the remainder when b is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*g - 0*g. Is (2\/5)\/(3\/g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -41*c**2 - c - 2. Let m be h(-1). Let l = m - -49. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 162*y**2 - 412*y - 3. Let w(v) = 485*v**2 - 1234*v - 10. Let z(o) = 7*p(o) - 2*w(o). What is the second derivative of z(r) wrt r?\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55.47 - -55. Let s = v + 0.07. Let j be 8\/(-5) - 8\/(-8). Put j, s, 5 in decreasing order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 20, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 542717 - 7598155\/14. Let r(i) = -5*i + 5. Let c be r(-4). Find the common denominator of c\/26 + 1 + -1 and d.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318185 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d - 11. Let m be f(-3). Solve 5 = -2*j - v, 6*j = 2*j - 5*v - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*h**3*t - 4*h**3 + 13267*h**2*t + h**2 - 108*h*t - 1200*h + 14*t wrt h.\nAnswer: 576*h*t - 24*h + 26534*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-2 + 3)) + -1. Let n be m - (99\/(-3))\/1. Let w be (n\/(-6))\/(2\/(-3)). What is the highest common factor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1649472 to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = a + 11, 4*a - 4*p = 48 + 4. Let q = a + -7. Let n(s) = 4 - s**3 + 2*s + 9*s**q - 8*s**2 + 0*s**2. Calculate n(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 317*u - 705. Let k be d(3). Solve 243 = m + k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -2*a + 3*a. Suppose 5*q + 0*q = a. Let d(k) = 2*k**3 - 3*k**2 + k + 2. Let h be d(2). What is the greatest common factor of q and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/13 - 1903960*d\/13 - 453132960200\/13 = 0?\nAnswer: -475990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 1. Let w(z) = 8*z + 7. Let g(o) = -18*q(o) + 2*w(o). What is the derivative of g(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-6)*56\/196*39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 23222*u**3 + 7*u + 244032*u**3.\nAnswer: 267254*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27611 is divided by 789.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/10 - -7\/2. Let s be (-1)\/3 + (-100)\/(-12) + -12. Which is the closest to s? (a) 4 (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2089870) + (-3 - 0). Let q = 3197495311\/1530 - b. Let j = q - -1\/170. Put -2\/11, -0.2, j in descending order.\nAnswer: j, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17 + 60*w + 14*w - 78*w. Suppose -4*i + 5*i = -6. Let o be y(i). Put 2, o, -5 in increasing order.\nAnswer: -5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 - 8*g**5 + 5*g**5 + (-g**4 + g**5 + g**4)*(-5 + 0 + 1) + (-11 - 5*g**3 + 11)*(-g + g + 2*g**2).\nAnswer: -21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 233 + 19. Let y = f - -41. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76\/3*h**2 + 112*h + 0 - 8*h**3 + 4\/3*h**4 = 0. Calculate h.\nAnswer: -4, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m - 52. Let g = m + -13. Is g <= 1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-2))\/((-15)\/((-30)\/(-10))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 7*z**2 + 6*z - 1. Let v(b) = -b**2 - b - 6. Let s be v(0). Let f be u(s). Suppose 0*p + 2 = 2*p. Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/4 - 8*h**3\/3 - h**2\/2 - 7*h - 1. Let i be u(-8). What are the prime factors of -7*(1 - 2)*i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 318543884*q + 62778311?\nAnswer: 318543884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:45 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-12)\/(-8)*(-2)\/(-9). Let j = 9.4 + -9.9. Which is the nearest to -4? (a) j (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -30. Let q = f + 11. Let t = q - -5.7. Which is the third biggest value? (a) 1\/3 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6 + 0*w**2 - w**2 + 10 - 14*w. Let n(t) = -4*t + 6. Let l be n(5). Let d be a(l). Solve 2*k + 5*p + 13 = -2, p = d*k - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {q: 6, u: 1, e: 3, v: 2, a: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2695.\nAnswer: -4\/2695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 3*c**2 + 2*c - 3. Let u be l(2). Suppose 0 = u*d - 1303 - 20. What is the greatest common divisor of d and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**3 + 91 - f - 18*f**3 + 13*f**3 wrt f.\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let c(h) = -h + 3*h + 2*h - q*h. Let r(z) be the first derivative of -2*z**3\/3 + 1. Calculate r(c(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxs when three letters picked without replacement from {x: 1, u: 1, h: 4, o: 1, s: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 3*q = -22. Let i(s) = 908*s + 12. Let w be i(q). Calculate the greatest common divisor of w and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1160d0 (base 16) to base 3.\nAnswer: 2010212021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67 + 36 - 18844*l**4 + 17931*l**4 + l**2 wrt l.\nAnswer: -3652*l**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1307, -2620, -3933, -5246?\n\"Answer: -1313*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -13. Let f = 15.93 - x. Let u = f - -0.059. Round u to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 6*m + 117. Let t = m - 51. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 17 + 35 = 0. Suppose 4*o = 77 - n. Suppose w + 2*w - 48 = -5*d, 0 = -d + w + o. Solve 4*a + 4 + d = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*v - 57*w + 60*w - 51 = 5*v, 3*w - 67 = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u + 1 = -f, u = -2*f + 3. Let j(q) be the first derivative of -2\/15*q**3 + 0*q - 1\/5*q**2 - f. Find p such that j(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/7 + 3368098*n**3\/7 - 270097562142*n**2 + 353780179193580710*n\/7 - 707552795682366196\/7 = 0. Calculate n.\nAnswer: 2, 561349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1))\/((-8)\/(-4)). Let h(z) = z**2 - 4. Let q be h(v). Which is the third smallest value? (a) -5 (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 7*t**2 - 2*t - 6. Let h be s(-7). Suppose 0 = h*k - 0*k + 184. Let z(q) = -q**3 - 24*q**2 - 23*q + 10. Let f be z(k). Solve 6*g = g + f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 smaller than -22842\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 + h**3 + 101 - 54 - 57. What is the remainder when w(6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 38. Let u be 4\/(-3)*(-12)\/8. Suppose u*h = 8*h - 102. Let w be s(h). Round w to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(-2*k - 2 + 2) + k - 2*k + 0*k + 318*k - 201*k - 189*k in the form b*k + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -47*c**3 + 8*c**2 - 7. Let a be p(-1). Sort 5, -5, a, -3 in descending order.\nAnswer: a, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 863775 and 450?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 10*l + 12. Let k be m(-8). Let o = k + -5. Suppose -19*b + o*b = 388. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44333 - 0?\nAnswer: -44333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 5*t = 3*t. Let a(x) be the first derivative of 4\/3*x**3 + 3\/2*x**4 + t*x**2 + 1 + 2\/5*x**5 + 0*x. Factor a(u).\nAnswer: 2*u**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m + 7. Let n = -222 + 227. Suppose a + 10 = -q - 0*q, a = n*q + 20. Give d(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106009 or 45\/26?\nAnswer: 106009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140915 = -4779*a - 408539 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 88. Suppose r*f = -2*j - 2*j + 7198, -5*j = -f - 9007. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 1528 - 771 = 4*t + 789, 0 = 5*t + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125114 and 2?\nAnswer: 125114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1932a1 (base 12) in base 6?\nAnswer: -13241521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1982 - 2675. Which is greater: -692 or u?\nAnswer: -692","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 224\/42*(-2)\/(-4)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 1650.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*i + 183*i - 3520 = -191*i + 518*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/98 (b) 1\/5 (c) 550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 - 0.0174771.\nAnswer: -43.0174771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2212 + 2?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0, -14, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -13*w + 17*w - 12*w - 96, 8*w = 7*w + 4*s + 132 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 16 = -5*j, -607 + 595 = -4*j + k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 8. What is the least common multiple of h(8) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -337.94099364 to the nearest integer.\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 5*q**2 - 6. Let k be o(5). Let n be -2 - (1 + k)*-1. Does n = -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 - 13*k**2 + 21*k - 4. What is the tens digit of u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5190 + 2*k - 5190.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(147) + ((sqrt(147)*-1 - sqrt(147)) + sqrt(147))*2)**2 + -4.\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/13 + 46*m**3\/13 + 186*m**2\/13 - 70*m + 52 = 0.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32563 (base 11) to base 6\nAnswer: 1002443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(6 + 4\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 142021321242?\nAnswer: 142021321302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202152111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 62*g**2 - 2*g - 2604. What are the prime factors of f(33)?\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-452)\/36 - 3 - 860\/1935?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 - 0.34. Let k = s - -0.18. Which is the second biggest value? (a) k (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -541732362*j**2 - 1260*j - 101506 wrt j.\nAnswer: -1083464724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/633 or -1?\nAnswer: -1\/633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 383 - 356. Calculate the least common multiple of h and 31.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -6334?\nAnswer: -59\/3167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - 1*sqrt(190)) + sqrt(190))\/sqrt(10) - 1*sqrt(931)) + sqrt(95)\/sqrt(5) + 3 + sqrt(171)\/sqrt(9)*6.\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1896986 and 7007?\nAnswer: 20866846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 3*g - 8. What is b(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d + 1. Let q(y) = y**2 + 53*y + 267. Let b(p) = -q(p) + 5*z(p). Factor b(g).\nAnswer: -(g + 2)*(g + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 18 = -6*m + m, -5*p = 4*m + 26. Let y(w) = -4*w + 3. What is the remainder when 19 is divided by y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 1. Let q(z) = 8*z. Let b be q(1). Let d(x) = 6 + 3*x + 3*x - b. Give 5*d(n) - 8*m(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -569, 3 in increasing order.\nAnswer: -569, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/446053 or 1?\nAnswer: -6\/446053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.62 - -18.48. Let f = b - 20. Let r = 5.4 + -0.4. What is the closest to f in r, -2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9092 by 1.\nAnswer: 9092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -481\/15, -13 in descending order.\nAnswer: 2\/13, -13, -481\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a\/((a\/(a*(a**(2\/5)\/a)\/a))\/a))\/a*a*a\/(a**(-1\/5)*a)*(a*a*a**(-1)\/a)**(-2\/111))\/((a*a**7)\/(a*a*a**(5\/2)*a*a))**6 assuming a is positive.\nAnswer: a**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36, -127, -276, -483, -748?\n\"Answer: -29*m**2 - 4*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7486*n**3 - n**2 - 2*n + 3*n**2 - 7942*n**3 - 2*n**2.\nAnswer: -456*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3197744 and 149\/109014?\nAnswer: 9593232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 9*p - 9. Let t be r(7). Let d = -14.1 - -14.3. Which is the closest to -2\/13? (a) d (b) t (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 99*g - 1412. Determine l(15).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*-3*(sqrt(448) + 2 + sqrt(448)))**2.\nAnswer: -16164 - 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.073065 * -0.5\nAnswer: 0.0365325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 + 5*u**4\/6 + u**3\/6 + 7*u**2 + 5*u. Suppose 0 = 5*y - 14 + 64. Let g be w(y). Sort -10, 1, g in descending order.\nAnswer: g, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325743 is divided by 12525.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)\/u**(-5\/7))**(2\/111) assuming u is positive.\nAnswer: u**(118\/6993)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 70 (c) -0.05 (d) 0 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -417 - -462. What is the remainder when d is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2355*q - 4159 + 8884 + 20741 = -5149 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 174 = 5*p, 5*b - 2*b - 204 = 5*p. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001641120857 rounded to seven decimal places?\nAnswer: -0.0016411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -661 divided by 16\nAnswer: -661\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2093, -3, 0, -5, 2 in descending order.\nAnswer: 2, 0, -3, -5, -2093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 487998542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(8)\/sqrt(4) - sqrt(2)) - sqrt(2)) + -5 + sqrt(8)\/sqrt(4))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, v: 2, y: 7}. Give prob of picking 2 v.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10424?\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72587564373284\/15945 + 4552371552. Let v = -2\/1063 - y. Let s = 41\/62 + -3655\/558. What is the common denominator of s and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwqwcwwwww. Give prob of sequence wq.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 5*n**2 + 5*n**2 to m*n**2 + d*n + z and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 8*c**2 + 13*c + 6. Calculate q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - q + 2 = 0, -3*q - 3 = -k + 11. Suppose -u - k*u + 54 = 0. Let s = u + -14. Which is the second biggest value? (a) -2 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -9, 0.07, 2\/9, 41, -3, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 2849\/(-63) - (-4)\/(-18). What is the highest common factor of t and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 41*a + 672. Let n be x(24). Is 264 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 23*p + 12. Let w be m(-4). Let l be (w\/(-160))\/(2\/(-36)*1). Let r be -4 + l\/((-36)\/16). Solve -2*c + 0*c = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 426876496866.9 and -0.1.\nAnswer: 426876496866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(140\/(-8)))\/(9\/14). What is the nearest to -0.1 in -1\/4, -1, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -19836.\nAnswer: -238032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.51 - 13.61. Let i = 11.09361 + r. Round i to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*a**2 + 603*a - 14441 wrt a?\nAnswer: -14*a + 603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 42*t**2 + 36*t - 285. Let v be b(-43). Calculate the greatest common factor of v and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135)\/180*(20\/8 + -3). Let f = 2 - 2.1. Let v = 12 + -12. What is the closest to v in b, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*x + 6 - 5 + 12 - 6 + 5 to z*x + n and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16*l - 75. Let q be k(5). Suppose q*j = 2*p - 66, p = -3*p + 4*j + 108. Let d(i) = 3*i**3 - i**2 + 2*i - 1. Let n be d(2). Does p = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 7*f + 10. Suppose -k + 6 = k. Suppose 3*m = 2*x + 29, 3 = -2*x + k*x + 2*m. What is the tens digit of a(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + b + 14204, 11363 = 4*i - b - 0*b. Suppose 4*t + 893 = i. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 3. Calculate the least common multiple of 264\/(-110)*(-475)\/10 and m(7).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 94 = -3*v - 106, 8 = 2*v. Calculate the lowest common multiple of 28\/15 + 4\/30 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73174 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3 = 33. Let d = 8 - -2. Calculate the lowest common multiple of k and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184416729 to the nearest integer?\nAnswer: 13580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/198656 and -85\/8045568.\nAnswer: 16091136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.937703 litres?\nAnswer: 9937.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkakkgg. What is prob of picking 1 g and 1 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 3348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 244662 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1437950362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*k + 2*l - 4*l, -2*k + 14 = -2*l. Sort 2, 0, k in increasing order.\nAnswer: 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r**22\/r*r)\/r*r)\/r)\/r**14*r**(2\/31)\/(r\/r**(31\/5)))**(-23\/3) assuming r is positive.\nAnswer: r**(-47288\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277653.9s in minutes?\nAnswer: 4627.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.32, 3\/8, 2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 11 = 4*k, -4*k + 15 - 47 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**6\/20 - x**5\/10 - x**2 - 11*x. Let a(m) be the first derivative of z(m). What is the third derivative of a(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -892*j**2 - 4*j**3 - 31*j + 896*j**2 - 4*j**4 + 4*j**3 as u*j**3 + o*j**4 + l*j + z + b*j**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = 2*r, -55 = -4*r + 6*f - 9*f. Suppose 4*t - 6 = r. Solve -s + 4 = -2*n - t, -18 = 3*n - 3*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5777 and 0.08.\nAnswer: 462.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4404945 and 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -16*q. Let o(m) = 4*m**2 + 504*m - 504*m. Calculate x(o(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2 = -s, -j - 8 = -7*s + 3*s. What is the third derivative of -2*n + n**4 + s*n - 2*n**2 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 1587.\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*k + 1304, f = -3*f - 11*k + 2628. List the prime factors of f.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - 15*w - 66. Determine b(-9).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56142 and 570?\nAnswer: 5333490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 235. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3405 less than -3404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -94315*-0.09\nAnswer: 8488.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*v - 4*j, 2*v - j - 5 = 0. What is the third derivative of 4*h**3 - 27*h + 89*h - 34*h + h**v - 34*h - h**4 wrt h?\nAnswer: -24*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 182, 5, -3, -795.\nAnswer: -795, -8, -3, 5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -69962300 to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000192344042 to 7 decimal places.\nAnswer: -0.0000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 12, r: 1}. What is prob of sequence dgdg?\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-15)\/(-6))*-375112. Is 20\/130 - a\/(-52) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**5\/60 + 3*i**4\/8 + i**3 + i**2. Let w(b) = -b**3 - 21*b**2 - 18*b + 49. Let j be w(-20). List the prime factors of y(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 2*o**2 + 2*o. Let y be a(-2). Let q be (-2)\/((y\/20)\/1). Let n = q - -10. Let f(v) = v**2 + v - 6. Calculate f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/5 + 627*d**2\/5 - 3669*d\/5 + 609.\nAnswer: -3*(d - 203)*(d - 5)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 468*s**2 + 8*s + 16. Let o(p) = -p**2 - p - 2. Determine -n(k) - 8*o(k).\nAnswer: -460*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*f - 2*g, 3*f + 8 + 6 = 2*g - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 + 54*w + 44. Let t(m) = -2*m**2 - 18*m - 15. Let s(y) = 6*n(y) + 17*t(y). Does 25 divide s(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 84. Let p be d(-30). What is the remainder when 20 is divided by 50\/6 - (-4)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 6*w**2 + 4*w**2 + 15*w - 22*w**2 - 9 + 13*w**2. Let x(g) = -14*g**2 + 23*g - 14. Give 8*r(i) - 5*x(i).\nAnswer: -2*i**2 + 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -5*r, -38*f + 2*r + 1 = -37*f. Let s(a) = a**2 - 11*a + 15. Let h be s(10). Suppose -9 = -h*k + 6. Put f, -4, k in descending order.\nAnswer: k, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 172. Let l be t(-13). Let q be (-3 + l\/(-18)*-21)*12. Solve -3 = 3*r - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -113, -159, -223, -299, -381?\n\"Answer: g**3 - 15*g**2 - 8*g - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 - 29*f - 13. Let q be u(-9). Which is the smallest value? (a) -5 (b) -0.01 (c) -0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - g. Let i = 4 + g. Solve -5*d - p + 3*p = i, -5*d + 4*p - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12 + -7)*(36\/(-5))\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q - 206*q + 116*q + 34*q + 34*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70.42? (a) -2 (b) 1\/3 (c) -0.348 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 2, g: 9, c: 5}. Give prob of picking 4 g.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -770 + 765. Let r(f) = -6*f - 62. Let s be r(-11). What is the closest to -6 in 0.1, -1\/13, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -239, -542, -977, -1550, -2267, -3134, -4157?\nAnswer: -5342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1206, -5, 181, -14, -1 in decreasing order.\nAnswer: 1206, 181, 3, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1 - 25\/(-1). Suppose k - 2*k + 5*c - a = 0, 5*c - 20 = 0. Let q(u) = -5*u**2 - u. Let v(b) = 4*b**2 + b. Calculate k*v(o) - 2*q(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10571, -10570, -10569, -10568, -10567?\n\"Answer: u - 10572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -4)\/(4\/(-34)). Suppose -n + v = 3*v - 121, -638 = -5*n + v. Let d = n - 76. Calculate the greatest common factor of g and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 216, -1308, 7.\nAnswer: -1308, -2, 7, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279467403 to the power of 1\/2, to the nearest integer?\nAnswer: 57267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32521, 130115, 292777, 520513, 813329, 1171231, 1594225?\nAnswer: 2082317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -24, 8, -1 in descending order.\nAnswer: 8, 1, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.17 + -1.77. Let i = -3 + 3.2. Let g = i + z. Which is the third smallest value? (a) -5\/2 (b) 3\/7 (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000672464237 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l**3 + 62*l**2 - 391*l + 484. Let o(q) = 2*q**3 + 3*q**2 + q + 1. Let r(c) = -6*o(c) - t(c). Let r(u) = 0. Calculate u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -24*v**2 - 31*v + 14. Let n(c) = 29*c**2 + 38*c - 14. Let r(w) = 5*n(w) + 6*o(w). Let z(a) = 3*a**2 + 9*a + 28. Determine 9*r(h) - 4*z(h).\nAnswer: -3*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.289795 meters in nanometers?\nAnswer: 6289795000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 375*a + 17335. Calculate t(-100).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-247)\/(-1976))\/((-1)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 2730?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**5*o))\/o)\/(o\/(o\/(o**3*o)))*(o\/o**(-1))**(-17))**21 assuming o is positive.\nAnswer: o**(-945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 4, t: 1, q: 4, c: 2, y: 7}. What is prob of sequence ww?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f**4 + 4*f**4 - 16*f**4 + 17*f**4)*((-3 - 2 + 7)*(4 - 1 - 1) + 4 + 2 - 1).\nAnswer: 252*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - r - 1. Let x be f(-1). Let w be (x\/(-8))\/(1\/6). Put w, 1, -1 in descending order.\nAnswer: w, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-35)\/(-135)*12\/(-14).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3, -3*t - 17 = -5*h - 0*h. Sort 21, 0, t.\nAnswer: t, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1078a (base 14) to base 15.\nAnswer: bc5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -0.0361 times 0.4\nAnswer: -0.01444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a. Let v(b) = 17*b + 37. Let x be v(20). Let i(c) = -377 + c**2 + x. Calculate i(s(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -15. What is the remainder when 15 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/3))\/(h**2*h)*((h\/(h*h*h**(1\/3)))\/h)**(1\/11))\/(((h\/h**(2\/5))\/h)**(-5\/16))**(-8) assuming h is positive.\nAnswer: h**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 1220\/(-160)) + -20?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + (8\/6 - -2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3213 - -10004?\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*((z\/(z\/z**(1\/17)))\/z)\/z*z)*z\/z**(5\/4))**(6\/23)\/((z*z**(-7\/3)*z*z)\/(z**3\/z*z))**(-1\/10) assuming z is positive.\nAnswer: z**(53\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 3*d + 0 + 0 + (0*d + 0*d - d)*(-158*d + 111*d - 151*d).\nAnswer: 197*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1215\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33 + 4889454.706.\nAnswer: 4889455.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4420 = -3086*t + 2916*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*z + 22*z + 21*z + 29*z + 21*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -25. Suppose -t*d + 20 = 8. Let o(a) = 2*a**3 - 4*a**2 - a + 2. Let s be o(3). Solve -2 = -4*u - d*r + 8, 5*u + r = s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15*5 + 292\/100.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3*y*y\/(y*y\/(y*y\/y**4)*y))**48)**(2\/17) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b - 6*b + 11 + 5*b + b**2. Let w be i(8). Suppose -4*r - r - 4*h + 817 = 0, 0 = r - w*h - 152. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = -14 + 53. Solve 0 = i + 4*l - 2*l + 9, 3*i - j = l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2 + 1 + 5*k - 3*k. Let m = -34 - -24. Let d = m + 9. Determine c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98fb4 (base 16) in base 7?\nAnswer: -5216600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 312\/60*2 + (-36)\/8*26\/(-195)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5\/7 - 36*p**4\/7 + 4*p**3 + 36*p**2\/7 - 32*p\/7 = 0. Calculate p.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003456072158 rounded to 6 dps?\nAnswer: -0.003456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -53. Let c be (-2 + 1)\/((-3)\/(-36)). Let u be q\/30 + (-314)\/c. Calculate the highest common divisor of u and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 1 - 2 + 5.\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 146, 216, 288, 362, 438?\n\"Answer: w**2 + 67*w + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8904? (a) 6 (b) 9 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 33*s**3 - s + 1. Let a be k(1). Suppose -3*w + 15 = 4*x, -3*x - 4*w + 9*w = -a. Is 4\/x*324\/4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:04 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from wwwxwxwwwwwwxwwwwwww.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*x**3\/5 - 53*x**2 - 23*x\/5 + 2697\/5.\nAnswer: -(x - 3)*(x + 29)*(9*x + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*g**5 - 78*g**5 + 2*g**5 + (11*g + 9*g - 39*g)*(-2*g**4 + 3 - 3).\nAnswer: -84*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10658.62 litres in millilitres?\nAnswer: 10658620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -125, 65, 18, 5?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 6 = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(0*h**2 + 0*h**2 - 2*h**2) + 53 + 15*h**2 - 21 - 15*h**2 - 29 - 79*h**2.\nAnswer: -81*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45040 + 0?\nAnswer: 45040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 34. Let t = u + 27.9. Let n = -0.1 + 0.3. What is the closest to 1 in t, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0747731989 rounded to 5 decimal places?\nAnswer: -0.07477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**2\/2 - 3. Let u(s) = 4*s - 7*s + s + 100*s**2 - 18*s**2. Determine u(l(p)).\nAnswer: 82*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3127 and 1986235?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 14*x**2 - 4*x - 11. Let d(s) = 15*s**2 - 6*s - 11. Let t(o) = -4*d(o) + 6*m(o). What is the units digit of t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = -3*u. Let t(i) = u*i - 7*i + i**2. Let h(x) = -3*x**2 - 5*x. Let v(l) = -4*l**2 - 7*l. Let o(a) = -7*h(a) + 5*v(a). Determine t(o(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**3 - 13*g**2 + 35*g - 62. Let x(l) = 13*l**3 - 26*l**2 + 65*l - 125. Let j(q) = -15*v(q) + 8*x(q). Give j(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -817 + 884. What is the greatest common factor of i and 1675?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*v + 48 - 22 - 26)*(4*v + 3*v - 5*v).\nAnswer: 224*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 0.0189.\nAnswer: -0.3811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 2*w - 17 = -15*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38931\/44603 + 63\/73. Let v = z + 6164\/5499. Let m = 4 - 3. Are v and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - sqrt(65)*2*4 - sqrt(65) - sqrt(65)) + 4*(sqrt(65) + 1*sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65)))\/((sqrt(720) - sqrt(45))*2))**2.\nAnswer: 1573\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(12) - sqrt(3)) + sqrt(3))**2 + 2 + -2 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-42)*(p**2\/p)\/(p\/(p*p*p**(1\/4)*p)))**(-22\/7) assuming p is positive.\nAnswer: p**(-1991\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 2:31 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2330835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 29665296.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(4 + 2*y - 3 - 3)*(-9 + 3 - 2)*(-64 + 17 - 31).\nAnswer: 1248*y - 1248","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x**2 - x + 1. Let m(c) = 4*c**3 + 9*c**2 - 18*c + 6. Let r(p) = 3*l(p) - m(p). Does 11 divide r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z + 7. Let r(l) = 11*l + 6. Let d(s) = 4*i(s) - 5*r(s). Let h be d(-1). Calculate the highest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.22 - 3.78. Let v = -10.8 - r. Put -4, v, 0.5, -8 in increasing order.\nAnswer: -8, -4, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -35 + 39 + 153*x + 5*x**2 - 152*x. Let r(b) = 15*b**2 + 4*b + 13. What is 7*j(w) - 2*r(w)?\nAnswer: 5*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 4\/69 (c) -1377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4677868 + -15?\nAnswer: -4677884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3 + 3. Let i(r) = r**3 + 4*r**2 - 4*r + 4. Let q be i(2). Let t(u) = -182 + q*u**2 + 182. Determine t(c(n)).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14240605.\nAnswer: 5, 2848121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, x: 4}. Give prob of sequence xxxr.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2}. Give prob of sequence rb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -872 - -944.6. What is z rounded to zero decimal places?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/300)\/(30\/(-27))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/4)\/q**(1\/35)*q**31\/((q\/(q**(-23)*q*q*q))\/q*q) assuming q is positive.\nAnswer: q**(1571\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from kcjpxyyk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 7800?\nAnswer: 7800.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-9)\/(-2))*40. Suppose 5*y + n - 2*n - 125 = 0, 0 = 4*y + 3*n - h. Let r be -9*(-1 + 2\/3). Solve -2*l = r*l + y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p + 3*r + 19, -2*r = p + 8. Is -2 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199410\/100 + 6\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -613, -2543, -5705, -10099, -15725, -22583, -30673?\n\"Answer: -616*h**2 - 82*h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131183 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*(-1 + 0))\/(15\/240). Suppose -m = 8*v - 0. Sort 4, v, -5 in ascending order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g + 43. Let h be v(0). Suppose -k = -0*k - o + 26, 122 = -5*k + o. Let s = k + h. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12916 rounded to the nearest 100?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-9)*-24*36\/(-96)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 45 = 4*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 184. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, p: 5}. Give prob of sequence puu.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from poovv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v**3)*(0 - 5 + 3)*(-5 - 2*v + 5).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 276.66 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47.9 - -9.1. Let i = -1.279832 + -55.724868. Let u = c + i. Round u to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1225\/6 + -129089\/633. Calculate the common denominator of t and 26\/4009.\nAnswer: 8018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 975*x**2 - 978*x.\nAnswer: 3*x*(x - 1)*(x + 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 9*t**2 - 11*t - 1. What is the remainder when 51 is divided by j(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:17 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u**2 - 17*u**2 - 13*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 311 + -424.8. Let y = 236 + f. What is y rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24742 - 0?\nAnswer: -24742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2}. What is prob of picking 1 l and 1 z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1423 (b) -0.25 (c) 2\/25 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*a**4 + 4\/3*a**2 - 2\/3*a**5 + 2\/3*a + 0*a**3 + 0.\nAnswer: -2*a*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 9069979?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -5 - (-5 - (-32 + 4))) + 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 0.5 (c) 3\/5 (d) -2340 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2448)*2 - 6*-2*sqrt(2057)) + 5)**2.\nAnswer: 600*sqrt(17) + 61225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26 + -25)\/(30\/4). Let r = -6 + 10. Put w, r, -1\/10 in descending order.\nAnswer: r, w, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(26)\/(sqrt(72)*-1 - sqrt(72)) - (sqrt(1300)*2 + -5)*4)**2.\nAnswer: -9640*sqrt(13)\/3 + 758653\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 78. Suppose -a - 13 = -2*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -40, -71, -118, -187, -284, -415?\n\"Answer: -w**3 + w**2 - 17*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3 (c) 3 (d) -3\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 27 + 1 - 104*w + 271*w**2 - 136*w**2 - 137*w**2 in the form i*w**2 + h*w + d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 418*h + 224639. Give b(-309).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 45110308384?\nAnswer: -45110308381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 79724 - 40*a - 79736 - 364*a as r + c*a and give c.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 1116*x**3 - 17088*x**2 + 67328*x.\nAnswer: -4*x*(x - 263)*(x - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/(7\/(21\/6)). Suppose a - 7 = s. Solve 4*p - 2*p + q = 6, 4*p - a = q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2388613, 2388605, 2388597?\n\"Answer: -8*y + 2388621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65b2 - -2?\nAnswer: -65b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x + 26*x + 37810 = 0. List the prime factors of x.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662777198.\nAnswer: 2, 3, 419, 220469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*w - 19*w - 202*w = -19*w - 1056 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 c when four letters picked without replacement from cvvvvcccvvv.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.3*-35.35\nAnswer: 116.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l*l\/(l\/l**(1\/10))*(l*(l*l**23*l*l)\/l)\/l*l**24\/l)**(-42) assuming l is positive.\nAnswer: l**(-9471\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.339697 rounded to 2 dps?\nAnswer: -221.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 733 + -721. What is the nearest to -4 in 1, 10, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1558525 from 99589.\nAnswer: 99588.8441475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 1 - 266*o.\nAnswer: -266*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 - 4415*s**4 - 1015600*s**3 - 18074380*s**2 - 74217600*s + 93312000 = 0.\nAnswer: -432, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/(-4))\/((-1148)\/(-192) - 6) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619620 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 + 8 = 0. Let d(c) = -9 + f*c + 9. Let v(s) = s**2 + s - 1. Let p(a) = -2*a**2 - 3*a + 3. Let y(x) = p(x) + 3*v(x). Determine y(d(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918901 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547*t - 43 = -590*t. Let c(k) = 5 - k + 0*k + 7*k**2 - 4. What is c(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69629474 is divided by 7736600.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 8710?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let h(j) = -j**2 - 7*j + 8. Let f be h(-8). Suppose f = -5*b + 2*b + 3. Let p(s) = -1 - s + 4*s + b. Determine p(a(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*s + 10, 0 = 5*u - 86*s + 88*s + 31. What is the nearest to 1 in -4, 0.3, -2\/45, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208445755?\nAnswer: 5, 7, 17, 50047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 9. Let t(v) = -v**2 + 2*v + 6. Let g be t(4). Let n(x) be the third derivative of -1\/24*x**4 + 5*x**2 + 0 - 2\/3*x**3 + 0*x. Give g*a(s) - 5*n(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 240351499 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26928342 divided by 147\nAnswer: -183186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 2*w**2 - w - 1. Let d = 16 + -23. Is s(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 669*l**3 - 8*l**2 + 79*l - 12. List the prime factors of u(4).\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72.1 * -76\nAnswer: -5479.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 292340.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) 4 (c) -2\/7 (d) -321 (e) 2194.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*w - 2*w. Suppose -4*d = s - 0*d - 19, -w*s = 4*d - 25. What is the first derivative of -91*a + 91*a + 9 + a**s wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 0. Is 4 a factor of 64\/6 + (-1)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -471 (b) -3 (c) -0.3 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3891 is divided by 1081?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:17 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**4 + 40*u**2 - 5*u - 480?\nAnswer: -84*u**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -243323 (base 6) to base 13\nAnswer: -9a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, -167, -542, -1109, -1892?\nAnswer: -2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 13) to base 5.\nAnswer: -4142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16510409, 16510419, 16510429, 16510439, 16510449, 16510459?\nAnswer: 16510469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*b - 10, -3*b + 3*c + 47 = 53 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475839098 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3781723 rounded to the nearest one thousand?\nAnswer: -3782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -55) + -19 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1628 and 6395524?\nAnswer: 70350764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h**2 + 5799*h + 8454. Suppose -n = -5*b + 106, -b - 3*n = -3*b + 32. Calculate the remainder when z(-361) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -8, 5661 in descending order.\nAnswer: 5661, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.493 + -0.259. Let f = -5.234 + a. What is the third biggest value in -2\/7, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Suppose g*h - 3*i - 771 = 0, 4*h - 602 - 426 = -2*i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 17. Let w be 2\/n - 48\/70. What is the biggest value in w, 1\/2, 1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrrlpl. Give prob of picking 1 l and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 10:22 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(12)\/sqrt(4) + 1 + -2))**2.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28452\/7 + 4052. Let q = 454\/35 + b. Do q and -2\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -683*u - 2392 - 2389 + 4781 to the form i + y*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.42176 - 1?\nAnswer: 7.42176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 20*x - x**2 - 2*x + 0*x**2 - 27. What is the units digit of q(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9866079.\nAnswer: 3, 61, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u + 1. Let a(c) = 4*c**2 + 10*c + 3. Let b(f) = -a(f) + 3*t(f). Calculate b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:39 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 76ecf?\nAnswer: 76eca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + -14 + 32 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.6 + -10.92. Let m = b + 1.02. Put 2\/11, m, -1 in descending order.\nAnswer: 2\/11, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8509 - 651151620.\nAnswer: -651143111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d - 36. Let k be w(4). Suppose s + 2*q = 23, 4*s - 4*q + 8 = 40. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-144)\/(-16))\/(-972))\/(((-21)\/9)\/((-35)\/5))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*l**2 - 6\/7*l**3 - 3\/7 + 3\/7*l**5 - 3\/7*l**4 + 3\/7*l.\nAnswer: 3*(l - 1)**3*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 1. Let a(s) = 2*s + 2. Let i(g) = -a(g) - t(g). Let h be i(-3). Solve -13 = 5*r + h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/240*-2)\/((-2)\/3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 - (-11 + -44 + 59).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.947 - 4.947. Which is the second smallest value? (a) 3\/4 (b) -1.3 (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 20 = 5*y - y, -10 = y - 4*b. Solve 1 - y = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -109*(-1)\/(3 + -2) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1814\/18 + (-16)\/(-72). Let s = z - 90. Calculate the highest common divisor of 319 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413176 - 413118.00275. Let g = v - 58. Round g to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 8. Suppose 0 = -10*o + 5*o + 5. Let w(n) be the first derivative of n**2\/2 + n - 3. Calculate o*b(q) + 5*w(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-2 - 6*(-4)\/8). Let c(n) = -n - 17. Let a be c(-15). Let i be 0 + 8\/(6\/3). Sort i, u, a.\nAnswer: a, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 4, -9713554, 3 in ascending order.\nAnswer: -9713554, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 7, u: 3}. Give prob of sequence cu.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.481959s to hours.\nAnswer: 0.0176338775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9 - 5. Let o = t - 0.5. Let d = 374 - 374. Which is the closest to 0? (a) d (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.5, -3, -4, 425392?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 31*t - 8. Let u(g) = g - 1. What is j(y) - 4*u(y)?\nAnswer: 27*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, y: 6}. What is prob of picking 2 y and 1 n?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f. Suppose -13 = -2*r + g, 3*g + f*g + 19 = r. Let l = 1 - r. Which is the smallest value? (a) l (b) 4\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -92, -110, -140, -182, -236?\n\"Answer: -6*b**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*g - 57. Let h be ((-4)\/(-1) - 1)*-7. What are the prime factors of ((-65)\/g)\/(1\/h)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 366, 225, 80, -69, -222?\n\"Answer: -2*c**2 - 135*c + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 726 + 180. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = 2*h - 1, 5*h + 17 = 3*p. Let s = p - 5. Let w(z) = 4*z - 28. Let d be w(8). Sort 1, 3, d, s in descending order.\nAnswer: d, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*j = 17, -4*w + 3*j + 7 = 8*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2390, 0, -4 in decreasing order.\nAnswer: 2390, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4772 - 2286 = 226*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368a93 (base 13) to base 6.\nAnswer: 43543543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((15 - (12 - -11)) + 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*4*2*sqrt(91))\/(3*(sqrt(7) - sqrt(28)) - ((sqrt(448) + sqrt(448) + 3*sqrt(448) - sqrt(448)) + sqrt(448))))**2.\nAnswer: 832\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83570103 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -107*o - 3. Let l(b) = 161*b + 4. Let z(j) = -5*l(j) - 7*t(j). Let c(w) = -w**2 + 8*w - 8. Let a be c(7). Is z(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*a - 134 + 397 + 20*a - 6*a wrt a?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:41 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 - 126333*v**3 + 1329180822*v**2 + 17295398292*v + 55894588344 = 0. Calculate v.\nAnswer: -7, -6, 21062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k + 698 - 1451 = 1359 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -114.398 and 0.0778?\nAnswer: 114.4758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 249273, 248690, 248109, 247530, 246953?\n\"Answer: o**2 - 586*o + 249858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8012.\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3456898 is divided by 690.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10948466*a*u**3 - a*u - 490*u + 4632 wrt u.\nAnswer: 65690796*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 31 = -2*o. What is the derivative of 6 + 5 - 8*y**o + 5 + 3 wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 3*y**2 + y**2)*(y - 1 + 1 + (5*y - 4*y + y)*(-3 - 1 + 1)).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 2. Let d be n(-3). Let k(p) be the first derivative of 2*p**2 - 4*p - 1 + d + 0*p. Find the first derivative of k(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611080225?\nAnswer: 5, 7, 71263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -4 + (sqrt(2178)*3)\/sqrt(6)).\nAnswer: -132*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(19) - (sqrt(19) + (3*(sqrt(19) + 0) - sqrt(19))) - ((3*sqrt(1900))**2 + sqrt(19))) + -4).\nAnswer: 9*sqrt(19) + 51312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63.81 - 63.31. Suppose -5*w = -3*w - 4. Let x be w\/(-4) + (-6)\/8. Sort -5, x, s.\nAnswer: -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220418 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17574 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 6*v**2 - 5*v + 1. Let b(t) = 2*t - 3. Let c = 3 + -1. Let j be b(c). Suppose -5*r = 2*x + 15, 4*x - 3*x - 4*r + j = 0. Calculate u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2588636 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 325241 smaller than 325243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 2. Let k(p) = -25*p + 17. Let n(u) = 6*k(u) - 51*v(u). Let r = -43 + 45. Suppose 3 = -r*x + w, -w = 3*x + 2 - 0. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -44*w + 320. Let p be s(7). Which is the smallest value? (a) -5 (b) p (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2 = j + 41, 23619*g - 180 = 23619*g + 4*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k**3 - 1. Suppose 6 = 4*m + 3*o, -4*m + 4 = 5*o - o. Let w = m - 2. What is the lowest common multiple of d(w) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132984378 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o + 126*o - 3072 = 164*o - 90*o for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3308 + 3308.0001669. Round m to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 145*t - 154*t + 45. Solve -a + 5*z = -16, -t*a - 5 + 22 = -4*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/14 or -2?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -122, -184, -288, -446, -670, -972?\nAnswer: -1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 280457 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*m**5*q + 22*m**4*q - 282*m*q - 2*m wrt m?\nAnswer: -440*m**3*q + 264*m**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 8. Let z be (c + 2)*(-3)\/(-30). Factor -1\/5*r + z*r**3 - 1\/5 + 1\/5*r**2.\nAnswer: (r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24346+-1063587\nAnswer: -1087933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xggg when four letters picked without replacement from xgoggooogog.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3125*x**5 - 111625*x**4 + 1449655*x**3 - 8291555*x**2 + 20298360*x - 17544240 = 0. Calculate x.\nAnswer: 59\/25, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474792245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004201347698 to six dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18648 and -115\/444.\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 5:34 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 3, -0.5, 5, 0.06, 360\/61, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207693.\nAnswer: 3, 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/4)\/((-3)\/8). Let r = z - -46. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.08 - -2. Round y to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 36416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucaq when four letters picked without replacement from uqcqqca?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 1 = -z. Let r be (8\/10)\/(152\/80). Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93.7 - 98. Let y = 5.3 + s. What is the nearest to -1\/2 in 0.2, y, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 + 4 = 0. Factor 3*q + 0 - q**w - 8*q**2 + 3*q**3 + 6*q - 3.\nAnswer: 3*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 27. Suppose i*q - 3 - 9 = 0. Let s(a) = 9*a - 13. Let p be s(3). Sort p, 1, -1, q.\nAnswer: -1, 1, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**13)\/j)\/j)**(-31))**10)**(-2\/3) assuming j is positive.\nAnswer: j**2480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 6*d - 1. Let z(g) = 4*g + 5. Let u be z(-10). Let l be u\/11 - (-2)\/11. What are the prime factors of n(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011110101 (base 2) in base 3?\nAnswer: -101011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 + 5*b + 1. Calculate the remainder when 97 is divided by f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27266 and 38.\nAnswer: 518054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 + -0.18. Let h = -0.25 + l. What is the closest to -0.1 in -2, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-237)\/(-6))\/((18\/(-4))\/9). Let q = -67 - c. Let z be ((-1)\/10 + 27\/45)*q. Solve -2*x + 8 = -z*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 18*m + 2. Let k be t(-18). Let i(c) = 5*c**3 + 2*c**2 + c + 3. Let p(z) = -3*z**3 - 3*z**2 - z - 2. Let a(r) = k*i(r) + 3*p(r). What is a(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 363*k**4\/4 - 6519*k**3\/4 - 22413*k**2\/4 - 16161*k\/4 - 315\/2 = 0. What is k?\nAnswer: -2, -1, -5\/121, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381895 is divided by 13222.\nAnswer: 11679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -29 - ((-6 - -1) + (-4 - -10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 707774, 707644, 707514, 707384, 707254, 707124?\nAnswer: 706994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 3. Let l be z(1). Suppose -i - 2*b + 48 = 3*i, 50 = 3*i + l*b. Let u be (10\/6)\/(25\/i). What is the closest to -2 in 0.4, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -1\/3 (c) 0.07 (d) 39583\/4 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*s - 1. Suppose 0 = -3*x + x + 6. Differentiate -s + 2 + x*t**4 - 4*t**4 with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iggpkgpkhkgkhkkkgk. Give prob of picking 3 k.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174780 or -174779?\nAnswer: -174779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*a + 1102 - 1473 = -11*a - 812 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-153))\/(2\/(-5)*(-45)\/12)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -93, 11\/20, -0.48?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9*g**2 - 2 - 7*g**2)*(3*g - 2*g - 3*g).\nAnswer: -4*g**3 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + q + 15. Suppose 2*k + 2*v = -4, -2*v - 5 + 1 = 0. What is the tens digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 - 20*r + 6. Let s be y(-7). Which is the closest to 1? (a) 1 (b) -3\/5 (c) 0.1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 - -43109264?\nAnswer: 43109677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 49. Let p(h) = 11*h - 74. Let c(f) = -8*d(f) - 5*p(f). Let z be c(24). What is the biggest value in 0.2, z, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*((-2)\/1 - -17). Let w = 27 + b. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3126 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43167150*o - 10881616?\nAnswer: -43167150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7253 - 5845. What is the highest common divisor of h and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(3) - (-2 + sqrt(12)) - sqrt(192)\/sqrt(4)) + 4*(sqrt(3) + 0) + sqrt(21)\/sqrt(175)).\nAnswer: -16*sqrt(3)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155170807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqvvvcffqvcf. Give prob of picking 1 v, 1 x, and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 17232*w + 12556364.\nAnswer: 4*(w - 3379)*(w - 929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*s - 300 - 90 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19311495, -19311493, -19311491, -19311489, -19311487?\n\"Answer: 2*o - 19311497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 222901*d + 12928267. Determine u(-58).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + y + 2 = 0, 4*y - 1 = -l + 3*y. Suppose -5*x - 2*g + 12 + 12 = 0, 3*g + 6 = 3*x. Suppose -14 = x*s + 6. Sort 0, s, l in ascending order.\nAnswer: s, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 0*i**2 - 4*i**2)*(-4*i + 45*i - 3*i).\nAnswer: -38*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 647 by 2.\nAnswer: 647\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 3 - 3*b**3 - 7\/2*b**2 + 0*b. What is the second derivative of r(w) wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 9. Let l be p(3). Suppose 0 = 17*z - 19 - l. Differentiate z*r + 33 - 6*r + 8 - 14*r wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 8*h**2 + h + 14. Let k be d(5). Let b be (3\/(-3) - 4)*k\/(-5). Let p = -25 - b. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -p + 2*p - 10, 5*p + 26 = 4*a. Let j be (-1 + (-6)\/2)*(-1068)\/16. Let k = j - 265. Put k, 9, a, -4 in ascending order.\nAnswer: -4, k, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10 - (-661878)\/110. Let w = -6013 + r. What is the common denominator of w and -101\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15878)\/(-1401))\/((-2)\/(-3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120000120120 (base 3) in base 16?\nAnswer: 482f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by 1.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 7*s - 180 = 0. What is the highest common divisor of 40 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 - -4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (1 - (19 + -30) - -32) + 14.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2102\/30479)\/((5\/(-2))\/(-5)).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 - 2)*(-m - m + 3*m) - 8*m - 12*m + 8*m + (-1 + 1 - 2)*(0 - 6*m + 7 - 5) as l*m + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165910150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/30)\/(2\/(-168)). Are k and 42 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -2*(-2)\/4. Let t(w) be the third derivative of w**5\/30 - w**4\/6 + w**3\/3 - w**2. Let b be t(n). Solve -2*s + 0*v = 2*v - 10, -b*v + 4 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -81. Determine h, given that -2\/3*h**3 - 2\/3*h**2 + 0*h + z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 11*b**2 - 66*b - 158. Let s be a(-2). Find j such that 0*j + 0 - 180\/7*j**3 + 0*j**s + 4\/7*j**4 = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533652 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 10, 5*s - 5*u = 260 - 35. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65.88 - -66. Let l = 0.12 - j. Which is the fourth biggest value? (a) -2\/9 (b) -0.3 (c) 2\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {v: 2, q: 1, z: 4, f: 4, r: 2, y: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t = 2*n + 50*t - 6, 2*n - 21 = 7*t. Solve 3*u + 9*y - 8*y + 14 = n, -u - 4 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 6827?\nAnswer: 6827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**3\/3 + a. Let s(j) = 3*j**2. Let n(z) = -z**2. Let x(c) = -15*n(c) - 3*s(c). Calculate x(v(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and -14 + 13 - 1*-12?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 0 + 11*v - 4*v**2 - 3*v**3 + 5 - 16*v. Let d be (-2)\/(-7) + (-9)\/7. Let w(c) = c**3 + c**2 + c - 1. Calculate d*n(p) - 5*w(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 - (-40 - (40 + -101 - -45))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)\/c)\/(c*c\/(c**(-13)*c)*c) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 4*r - 1. Let u be b(-4). Let o = u + 27. Let g = 30 - o. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56812.18857 + 28851.55026. Let y = o - -27961. Let d = -0.36 + y. Round d to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1553962747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -209876766\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114)*1 + sqrt(114))*3*-3)\/(4*(sqrt(384) + (-5*-2*sqrt(384) - sqrt(384))))*-5.\nAnswer: 9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 6767 and 74442\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14964156 by -554228.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 31 - (0 + 18 - -45)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - -0.16. Let u = -0.5 + c. Let x = -3.96 + u. Sort x, -2, -1 in increasing order.\nAnswer: x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 553014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -99402354.\nAnswer: 99402354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-14) - 1)*((-1134)\/(-144))\/((-420)\/35).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3\/20, 462, 5?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**3*w**2 + 2*r**3*w + 3*r**3 - 3186*r**2 - 374*r*w - 5*w with respect to w.\nAnswer: 6*r**3*w + 2*r**3 - 374*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*k + k = -2, -8*h - 34 = 39*k - 25*k for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -138 and -12782229.\nAnswer: -12782367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2707 - 2648.5. What is r rounded to zero decimal places?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 1. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 + 1 + 2 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 49266*d - 4043174.\nAnswer: (d - 98614)*(d + 82)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 10.6068\nAnswer: 3.18204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/15, 2, 0.002, -0.5, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2660\/(-152)*8\/(-10). Solve -5*c = 4*o - a, 2*c = -0*o + 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4 - 6*d**3 + 71*d**2 + 240*d - 1600 = 0.\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -1 (c) -2\/5 (d) 875\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = -3*d. Which is smaller: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-396)\/63*(-9464)\/(-3718)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17038 - -34077\/2. Which is the second smallest value? (a) n (b) -3\/11 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t - 9. Let z be o(-4). Suppose 0*r = -9*r + 63. Suppose r*s + z = 1583. What is the greatest common factor of s and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62 + 9\/(-3)*1. Suppose -2*d + 33 = -v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28242888?\nAnswer: 2, 3, 1176787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 0.22, -103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 161*j**3 - 2*j**2 + 222*j - 118*j - 34 - 104*j to the form d*j**2 + x + s*j + z*j**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -32. Suppose 5*y + 5 = 4*b - 0, -2*b + 5*y - 5 = 0. Find the second derivative of 4 - 2*g**3 + b - 9*g - u wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 at most 1405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -809, -1826, -3249, -5078, -7313, -9954?\nAnswer: -13001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x - 70 = 5*f - 49*x, -100 = 5*f + 5*x. Are f and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - -0.6. Let k = -0.328 + 2.028. Let i = z - k. What is the second smallest value in 0.4, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2. Let p = 552 + -460. Let z(b) = -120*b - 152*b - p*b. Give z(t(h)).\nAnswer: -728*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6 + 6 - 2*h**2 to the form c + d*h**2 + r*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:38 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/1166 and 61\/1122?\nAnswer: 59466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23336, -46242, -69148?\nAnswer: -92054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6 - -2. Let m = 0.03 + 3.97. Let u = m + f. Put 2\/3, -5, u in ascending order.\nAnswer: -5, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2334695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 12106?\nAnswer: 12105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4. Let u(t) = t + 3. Suppose -5*g = 7 + 8. Suppose 0 = -5*d - 4*l + 8, 0 = -4*d + 2*l + 2 + 20. Determine d*u(b) + g*f(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 5\/10. Let a(t) = 10*t**3 - 2*t + 1. What is the smallest common multiple of 6 and a(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 10, 2, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/13941986 and -41\/15.\nAnswer: 209129790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/388239 and 157\/714.\nAnswer: 92400882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(56)\/(sqrt(32)\/sqrt(4))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (0 - 4)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - -2 - (-13 + 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(125) + -2)**2.\nAnswer: -645 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9380, 20993, 32582, 44135, 55640, 67085?\n\"Answer: -2*h**3 + 11627*h - 2245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) + (-19467)\/42*(-14)\/105.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14648302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k. Suppose 0 = -4*g + 3*l - 226, k = 2*g + 3*l + l + 102. Let w = -26 - g. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140831, 281336, 421841?\nAnswer: 562346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((-16632)\/3285) - (-116)\/(-1218)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 8*z**2 + 14*z - 6. Let h be r(6). Solve h - 10 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1146 - 594. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2445, 2309, 2089, 1791, 1421, 985, 489?\n\"Answer: v**3 - 48*v**2 + v + 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10871.8 times 0.057?\nAnswer: -619.6926","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:38 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**4 + 39*w**3 - 36*w**2 - 120*w + 114. Let b(z) = z**4 + 10*z**3 - 9*z**2 - 30*z + 28. Let y(i) = 9*b(i) - 2*d(i). Factor y(c).\nAnswer: 3*(c - 1)**2*(c + 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099236531 to the power of 1\/2, to the nearest integer?\nAnswer: 33155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1194528, 1194531, 1194536, 1194543, 1194552?\n\"Answer: c**2 + 1194527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -896216 less than -896215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 281, 0, 2, 44, -18, 5 in ascending order.\nAnswer: -18, 0, 2, 5, 44, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 27488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19*d\/(d*(d\/d**(-21))\/d)*d*d\/(d*d*d*d\/d**19*d*d)*(d**18\/d)\/d)**(-1\/14) assuming d is positive.\nAnswer: d**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -553 - -349. Suppose 2*i - 60 = -24. What are the prime factors of (-2)\/(-3) - d\/i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/3 - 3263*w**2\/3 - 1020341*w - 208228587 = 0?\nAnswer: -1491, -281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5273 + -5275. What is the fourth smallest value in -1\/3, 0.4, 4\/5, 19.8, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.256 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13934 + -13933.7. Let m = -2 + 2. Put r, 8\/3, m in descending order.\nAnswer: 8\/3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1204*h**5 - 16*h**5 - 130*h**5 - 76*h**2 + 70*h**2 - 123 wrt h?\nAnswer: 63480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = -5*q, 2*q = 3*z - q - 9. Suppose -4*w + z*w = 4. Suppose -7*i + w*i = -65. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10972 - 10846. Calculate the greatest common factor of 966 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f**2 + 0*f**2 - f**2)*(-7*f - 2*f + 3*f) - 4*f**3 + f**3 + 4*f**3 + 1 in the form o*f + t*f**3 + c + i*f**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 3*z + 0 + 3*z - 1. Let t be m(-1). Let q = 0.36 - 0.06. What is the second biggest value in 0.4, q, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*o**2 - 266*o**2 - 2*o + 94*o**2 + 85*o**2 + 2*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 740*o - 7803. Calculate the remainder when 3376 is divided by p(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529003.\nAnswer: 7, 113, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3. Let w be f(0). What is the fourth biggest value in 1, w, 2\/11, 0.08?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m)**(-21)\/(m**(1\/5)\/(m*(m*m**4)\/m)) assuming m is positive.\nAnswer: m**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {n: 1, a: 3, h: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (270\/(-81))\/((-4)\/(-6)). Let c(x) = -x. Let r(j) = -5*j - 13. Let t(q) = 4*c(q) - r(q). Is 4 a factor of t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 - 5*m - 5. Determine l(-5).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 divided by -65?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 315020\/3003 - 1154\/11. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29693012.\nAnswer: 2, 7423253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2025.81.\nAnswer: -1012.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -2.482804\nAnswer: 0.9931216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.02, 3, 37?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 131. Let a = -227\/42 + 41\/6. Find s such that 0 - 2\/7*s**2 - 16\/7*s**3 + 4\/7*s - a*s**c = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 157 and 2345874077478.\nAnswer: 2345874077635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 18*m**2 - 10*m. Let r(i) = -i**2 + i. Let d(q) = -2*b(q) - 20*r(q). Let v(o) = 2*o. Determine d(v(c)).\nAnswer: -64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171.2 - 113. Let z = n - 63. Which is smaller: -1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-52))\/((72\/12)\/(-6540)*20\/8).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v + 16. Let i = v - -30. Solve -3 = -3*r - c, 4*c = -0*r + r - i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2802*g**3 - 2714*g**3 + 5519*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.084 - 0.10375. Let n = -16.68 - -16.7. Let b = p + n. What is b rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = 0, -7*b + 3*b - 2*q = -6. Let r(w) = w**3 - 3*w - 2 - 2*w**2 - 6*w**3 + w**b. Let y be r(-1). Put y, -12, -2 in ascending order.\nAnswer: -12, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 529445 or 529444?\nAnswer: 529445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7294 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/5)*(u\/(u\/u**3*u))\/u)**(-40) assuming u is positive.\nAnswer: u**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 47, 65, 89, 119, 155, 197?\n\"Answer: 3*q**2 + 3*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 3*g. Let i(w) = 20*w**2 - 20*w - 8. Let d(j) = -i(j) + 6*z(j). What is d(-2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950719320 to the power of 1\/2, to the nearest integer?\nAnswer: 62855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = 2*y + 3*y - w, 256 = 2*y + 3*w. Let r be y\/10 + (-1)\/2. Round r to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11 and 44\/1427?\nAnswer: 15697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r*w - 25011*r + 2852*w**3 wrt w?\nAnswer: -r + 8556*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 o when three letters picked without replacement from {j: 3, o: 3, b: 1, n: 7, h: 1, d: 2}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130347 and 12579?\nAnswer: 78077853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*h = 156, 2*s - 3*h + 7*h = -78. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/11)*y*y**(-10\/9)*(y**(3\/4))**32 assuming y is positive.\nAnswer: y**(2446\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 3348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20161 - -20161.0000012831. What is m rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14493.\nAnswer: 3, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6730.207cm to millimeters.\nAnswer: 67302.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -489, -1921, -4315, -7677, -12013, -17329, -23631?\n\"Answer: -w**3 - 475*w**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15254, -61018, -137290, -244070, -381358, -549154, -747458?\nAnswer: -976270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 7, j: 1, v: 2, h: 2}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000706?\nAnswer: 2, 7, 71479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -983 + 605*p + 983 to g*p + n and give g.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45185183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -63*(-50)\/1750*-1*2\/(1*-2)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957059.\nAnswer: 957059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2411711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygyvvvvkahvvhkh. What is prob of picking 1 y, 1 k, and 1 v?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 11:14 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37098721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 29. Let g = 15 - q. Solve -3*u - 4 = -g*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -15d?\nAnswer: 14e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(0 - 1 + 0)*(2*h - 3*h - 2*h)*(24*h - 45*h - 20*h)*(0 - 1 - 1) to the form c*h + d + m*h**2 and give m.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56510814 is divided by 914.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 3*n**5\/140 + n**4\/28 + 11*n. Find y, given that t(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**4\/12 + j**3\/3 - 19*j**2\/2 - 332*j. Let p(a) = a**2 - a + 9. Determine -5*p(z) - 3*v(z).\nAnswer: -2*z**2 - z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -105, 0, -3, 5 in decreasing order.\nAnswer: 5, 2, 0, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 228 = 6*t + 95 + 87, -3*t + 22 = 2*c for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(1\/25). Let i = 57 + v. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + l - 1)*(3 + 0 - 6)*(-1 - 3 + 2)*(-2 + 4 - 1) in the form u*l + z and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -25. Let k be 32\/18 + (-4)\/f. Solve 1 = 3*a - k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**8\/336 - s**7\/210 - 6*s**2. Factor p(r).\nAnswer: r**4*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**9\/126 + 13*j**5\/60 + 7*j**2 - 4. Let u(y) be the second derivative of w(y). Find the third derivative of u(n) wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*7083517\nAnswer: 21250551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/946 and 69\/1786048.\nAnswer: 1786048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -11. What are the prime factors of 1822\/f - (4\/26)\/1?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*x + m**3 - 16*m**2*x - m*x + m wrt m.\nAnswer: 12*m*x + 6*m - 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -5, -5626 in descending order.\nAnswer: -5, -60, -5626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s**2 + 23*s + 4. Suppose 93*z + 152 = 346 + 178. Determine x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 269275 = 50725. What is j rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*a**3 + 0*a**2 - 6*a**2 - 126*a**3.\nAnswer: -379*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/8 and (-33)\/(-22) + 834\/(-480)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/2 + 171\/9. Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -138*u**2 + 51*u - 96. Give m(2).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173455283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/6405 and 163\/90.\nAnswer: 38430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12\/9*(-12)\/40.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.5 (b) 2\/9 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 572?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17967 by 2.\nAnswer: 17967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 4*y**2 + 2*y - 7. Let z be w(-5). Let a be (6\/4)\/((-3)\/z). Let v(d) = -d**2 - 3*d + 3*d**2 - 3*d**2 + 3. Determine v(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let g(r) = -r + 5. Let y(h) = -3*h + 11. Let i = 33 - 20. Let p(n) = i*g(n) - 6*y(n). Calculate -2*p(m) - 9*x(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1692, 1343, 1002, 669, 344, 27, -282?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, -1588, -7108, -17976, -35974, -62884, -100488, -150568?\nAnswer: -214906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -314 - -314. Solve -11*u - 13*u = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50317 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50621153?\nAnswer: 11, 29, 89, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6198 a factor of 3884329986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*l = -50, -339*j + 14 = -335*j - 5*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38174 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -12. Let g = r - 14. Which is the second smallest value? (a) 4 (b) -0.16 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866609.2 centimeters to micrometers.\nAnswer: 8666092000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (131*j + 33 + 41 - 128*j + 2)*(3 - 1 + 1) to c + g*j and give c.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let k(s) = -3. Let r(p) = -k(p) - 3*l(p). Let f(c) be the second derivative of c**4\/6 + 38*c. Calculate r(f(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + (12\/10)\/((-6)\/15). Suppose m*f - 36 = 3*c, -f - c - 8 = -2*f. What is the remainder when 34 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318\/51869 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 14*o**2 + 23*o - 1. Let g(b) = -2*b**2 - 26*b - 96. Let v be g(-6). Calculate f(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 47 - 25. Suppose -2*j - 714 = -a*j. What is the greatest common divisor of j and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 7 = 53. Suppose -q*y = i + 84, -6*y + 5*y - 12 = -2*i. Sort y, -4, -5 in increasing order.\nAnswer: y, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 2*h = 7*z - 28, 2*z = -4*h + 790 - 814 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -246858 - 466?\nAnswer: -247324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -1186, -2661, -4724, -7375, -10614, -14441?\nAnswer: -18856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1333?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 7\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mei when three letters picked without replacement from {e: 1, f: 6, p: 1, i: 1, r: 3, m: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6104 and 16?\nAnswer: 12208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4448.54 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v + 1. Let t be d(-2). Let w(n) = 2*n**2 + 15*n + 22. Let o be w(-8). Let u be (28 - o)\/((-1)\/15). Is t < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z**2 + 6*z - 6. Let g(m) = 17*m**2 + 5*m - 5. Determine -6*g(j) + 5*u(j).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 + 9*k. Let f be o(-10). What is the highest common divisor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32\/7, -11, 2\/7, -0.5, -0.039, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/(c\/(c*c**(1\/3)*c*c))*c)\/c*c)\/c)\/(c**(3\/5)*c))\/((c\/(c**(2\/7)*c))\/c**(-2\/7)) assuming c is positive.\nAnswer: c**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 3, j: 10, c: 5, h: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:12 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2271043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 3. Let i be p(-3). Let r(g) = g - 8. What is r(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + 183.02. Let r = o + -178. What is the closest to 4 in -2, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -60 - -15 - -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13653, -27291, -40929, -54567, -68205?\n\"Answer: -13638*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1405 + -2815\/2. What is the closest to -0.1 in -2\/7, f, 23, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1133777420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 + 158 = 14*h - 45 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2865806 is divided by 878.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40.9? (a) 2 (b) -1\/6 (c) -0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 17. Let y be a(4). Let n = y - 10. Solve -4*z - 13 = 3*v, z = -4*v - n - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 525.9.\nAnswer: 2629.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/(-2 - 483\/(-240)). Let p = m + 38. Solve 5*v - 21 = -p, 4*s + v = 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 4*o, -4 - 3 = -o - 5*d. Suppose -7 + 1 = -v. Factor 2*m**5 - o*m - m + m**5 + 61*m**2 - 55*m**2 - v*m**4.\nAnswer: 3*m*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 + -6. Let g = -155 - s. Let n = 5.4 + -0.4. Which is the second biggest value? (a) -2 (b) -0.2 (c) g (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 1348 = -3*k. Is 38 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 16*q + 10. Let p(k) = 2*k**2 - 33*k + 19. Let d(h) = 5*o(h) - 2*p(h). What is the least common multiple of 26 and d(14)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.777 + 1.733. What is the biggest value in -3, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/40)\/(1\/6). Let j be (-1 + 2)*2\/1. Suppose h = -j*o - o. Put -1\/4, o, 4 in ascending order.\nAnswer: o, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217\/5 - -43. Which is the nearest to 2\/5? (a) -3 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(108))\/sqrt(4) - (sqrt(147)*-1)**2.\nAnswer: -147 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13388691, 26777382, 40166067, 53554746, 66943419, 80332086, 93720747?\n\"Answer: -3*t**2 + 13388700*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0859 times 286476\nAnswer: -24608.2884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100101101011110001?\nAnswer: 100101101011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3049008 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5))**(2\/63)*(r**(-4\/9)*r)\/r**(1\/3)*(r\/(r*r**6\/r)*r**(2\/13)\/r)**(6\/7) assuming r is positive.\nAnswer: r**(-6554\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 3050*o - 67108\/11.\nAnswer: 2*(o - 16777)*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**2)\/h*h)**(-1\/30)\/(h\/h**(3\/4)*h)**(3\/8))**(-48) assuming h is positive.\nAnswer: h**(273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 309 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 15, -4*x + 17 = -y. Let a(v) = 9*v. Let r be a(y). Let b = r - 14. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 9. Let b be (1\/(-3))\/(o\/2). Sort -3\/2, 1\/3, b.\nAnswer: -3\/2, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-n**2 + 31 - 195*n + 195*n).\nAnswer: -2*n**2 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**7\/14 + d**5\/20 - 331*d**4\/12 + 1153*d**3 + 11119*d. Find the second derivative of k(q) wrt q.\nAnswer: -60*q**3 + 6*q - 662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4)*(i**(-4)\/i*i)\/i)\/(i\/(i**(-2\/5)*i)*i\/(i*i**(-7))))**(-48))**31 assuming i is positive.\nAnswer: i**(122016\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*p + 0 + 0 + 3*p - 2*p + 0*p + (p + 0*p - 2*p)*(-2 - 2 + 2) - 2*p + 2*p + 2*p)*(-p**2 + 0 + 0).\nAnswer: -2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, 4 in descending order.\nAnswer: 6, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*w = 39, l + 4*l + w - 186 = 0. Calculate the remainder when 181 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/105)\/(30\/(-540)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-7))\/(-6) + 89914284\/252 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/p**(-4))\/p*p)**47 assuming p is positive.\nAnswer: p**329","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -114, -221, -356, -513, -686?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**3 + 2*l**2 - 11. Calculate the remainder when u(-3) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i + 4*r + 7, 4*i - 3*r = 14. Let q = i - 4. Let l be 3 + (-4 - -11) + (1 - q). Calculate the highest common divisor of l and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 335421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1664\/728)\/(6\/(-21)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2. Let s(r) = -r**2 - 5728*r - 5. Determine s(v(t)).\nAnswer: -9*t**4 - 17184*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and 0.00562?\nAnswer: -0.00021918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26109 by -65.\nAnswer: -26109\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-40) - 843\/4. Let l = -105 - p. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 3*v**2 + 3*v**2)*(2109*v**3 + 580*v**3 + 2025*v**3).\nAnswer: -9428*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (3 + -3)\/(-1). Let j be (-1)\/(n\/(-30)*-2). Solve 5*c = -2*v + 24, -j*v = -2*v - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 8*x - 1. Suppose 0*t = t - 1. Suppose 0 = 3*p - 2*j + 23, t = 4*j - 3*j. Give r(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y**3\/5 + 6*y**2 - 12*y\/5 - 24\/5 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -11*b + 285. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 - 33 - (-1 + (27 - 6) - -7)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5380 + 5381. Which is the nearest to -17\/4? (a) -0.5 (b) f (c) 3\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-363)\/(-12) - (-1)\/(-4). Let c = -11 - -13. Let i(k) = k**2 - 1. Let j be i(-2). Solve j*f + 5*s - r = 0, c + 1 = s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - b - 2*b)*(-6*b + 2*b + 5*b) - 2*b**2 + 3*b - 3*b - 6*b**2 - 9*b**2 + 94*b**2)*(-1 + 1 - 1)*(5 - 1 - 2).\nAnswer: -152*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523*l = 528*l - 20. Solve 2*p + 2*o = -2*o - 4, 3*p = -o + l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 661317 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swws when four letters picked without replacement from wwwwssw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.50443 minutes to nanoseconds.\nAnswer: 5730265800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(24)\/sqrt(3))*-3.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c)**(-1\/14) assuming c is positive.\nAnswer: c**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17411495 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(3))\/sqrt(2) + (sqrt(11) - (sqrt(11) + (-5*2*sqrt(11))**2)).\nAnswer: -1100 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:20 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**3 - 124*q**2 - 407*q - 2. Let g(c) = 17*c**3 - 494*c**2 - 1628*c - 9. Let x(k) = -2*g(k) + 9*m(k). What is the second derivative of x(o) wrt o?\nAnswer: 12*o - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s + 3*x = 56, 30 = 4*s - 5*x. Suppose 4*h - 31 = -j - 6, -5*j + 148 = -3*h. Calculate the remainder when j is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*q = -0*b - 5, -4*b - 4*q - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 + 1528*a\/11 - 291848\/11.\nAnswer: -2*(a - 382)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48889 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.55698 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2213420 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 46 = -53*x - 1659 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3 - 492\/248)*20\/330. Is p equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 6*m - 9. Let w = -413 + 420. Determine z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -12\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/20 + c**5\/30 + 4*c**2. What is the third derivative of r(y) wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101758579 is divided by 296.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1550 and 22011550.\nAnswer: 22011550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 + 9 - 6) + (-2 - 16)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -1.2215, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131.7 + -138. Let a = -2.7 + 1.4. Let s = a - y. Sort s, -4, 1\/2 in ascending order.\nAnswer: -4, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 7*d**2 - 7*d + 3. Let g(y) = -3*y**2 + 4*y - 8. Let j be g(0). Determine w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-3)\/15*30\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 595 - 1219\/2. Find the common denominator of s and -41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13806, 13782, 13760, 13740, 13722?\nAnswer: 13706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -16. Suppose -3*x + 12 = k + 4, -q*x - 4*k + 2 = 0. Suppose 4*z - 2*y - 11 = x*z, 5*y = -20. Solve 6*s + 3*t = s - 13, -9 = z*s + 3*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1194, 1\/12, -48, -0.5, -4 in decreasing order.\nAnswer: 1194, 3, 1\/12, -0.5, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -81*v - 381. What is l(-6)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 36050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52824096 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 140\/(-68) - -6\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880155062.\nAnswer: 2, 6269, 70199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 + 8*u + 16. Let g be i(-8). Suppose 0*j = -10*j + g. Calculate the lowest common multiple of j and 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -526*p**5\/5 + 1253*p**2\/2 - 2*p - 1865. What is the second derivative of r(a) wrt a?\nAnswer: -6312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21454322 (base 6) to base 2\nAnswer: 10011101011111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + 34*h**2 + 5*h - 58. Let q be u(-11). Which is smaller: 18 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 - 6*i. Let g(w) = 8*w. Determine n(g(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -74 + -124.52\nAnswer: -198.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0683 times -834\nAnswer: -56.9622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -79.\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-14) + ((-6)\/(-1) - (-6278306)\/217) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22087 - -23208. Is j > 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (328\/492)\/((-1)\/((-117)\/(-6)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {n: 3, r: 1, q: 1, b: 1, f: 2, s: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 964, 3090, 7146, 13774, 23616, 37314, 55510?\nAnswer: 78846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 + 53144*m + 706071184 = 0.\nAnswer: -26572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333934 at most 1333950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -11654?\nAnswer: 11646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -298.9973 - 0.0027. Let z = x + 197.9. Let f = z - -107. What is f rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q - 3*q + 24396 = 42*q. Calculate the highest common factor of q and 2675.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253750948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548226497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24032 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**3 + 3*z**2 + 7*z - 18. What is the remainder when c(3) is divided by 150?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3686 + b**2 - b**2 + 0*b**2 - 1221*b**3 + 3686.\nAnswer: -1221*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**9*(d**(-2))**3 assuming d is positive.\nAnswer: d**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*f - 237*f**3 + 29*f - 3 + 95*f - 358*f**3 - 566*f**3 wrt f.\nAnswer: -6966*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c, 3 + 9 = x + 3*c. Suppose -3*o - 12 = 4*g, 6*g - 3*g = -x*o - 12. Let j be (2 + -3)*(0 + o). Solve 6 = j*b - 0*d + d, -5*b + 2*d = -14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*b - 54. Let v = 97 + -77. Is v greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(sqrt(684) + sqrt(684) + 1)**2 + 0.\nAnswer: -13681 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, -0.055317 in decreasing order.\nAnswer: 4, -0.055317, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34aa180 (base 11) to base 5.\nAnswer: -3031300231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (12 - (-6 + 13))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from zyyzqqzqzqyzzzy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405484410 to the nearest integer?\nAnswer: 20137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -20. Suppose -v*w + 13 + 19 = 0. Suppose -5*l = -2*i - 26, l - 5*i + w = 2*l. Solve 2*a + 0*a = l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**0*h*h*h*h)\/h**(-7)*h**(-1)\/(h*h**(-1)))**49 assuming h is positive.\nAnswer: h**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18195 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c8c + -e2?\nAnswer: baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*r - 68 = 0, -340 = j - 6*j + 4*r. Calculate the smallest common multiple of 2 and j.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57\/4 - (-11)\/(-44). Let q = -1089 + 749. Let g be 2\/(-7) - q\/14. Solve 3*b + 3*m - g = 0, 2*b + m - f = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -246, 1\/10 in descending order.\nAnswer: 1\/10, -3\/2, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = w - 4 - 9, 11*w = -z + 53. Which is the nearest to -1\/4? (a) w (b) 1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/22800 and 63\/608?\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1823975 by -5.\nAnswer: -364795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 32*h = -108, -2*h = 4*r + 3*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*u**3 + u**2 + 82 wrt u.\nAnswer: 117*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u + 1 = y, 3*u = -5*y + 12. Let g(h) = -30 - 15*h**y + 15 + 3*h + 147*h**3. Let a be g(5). Round a to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*y + 7*y + y**2 - 5*y**2 + 2*y**2 - 2*y**4 in the form x + t*y**3 + d*y**4 + i*y + r*y**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t - 4*m + 68, 3*t = -3*m + 39. Suppose 2*j + 0*j - 224 = 0. Calculate the greatest common divisor of j and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from qovvrqqvfqooohfrfoo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -1\/4 (c) -2\/5 (d) 1 (e) 2 (f) -16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164905010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k - 4. Let q = 265 + -269. Let l(z) = -123*z - 42. Let u(y) = q*l(y) + 42*g(y). Let h(t) = -8*t**2. Calculate h(u(i)).\nAnswer: -1152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -440, 28, 1, 3, 0 in decreasing order.\nAnswer: 28, 3, 1, 0, -4, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:36 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7003 in -0.3, -1, -2\/9, -0.03, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27802430*0.2.\nAnswer: 5560486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -1241190.\nAnswer: 5\/82746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*n + 6*n + 4*n - n.\nAnswer: 6*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*t = -6*t + 185, 0 = 5*i - 5*t - 475. Suppose 0 = 3*l - 2*d - 15, 0*l + 3*d = 5*l - 25. Calculate the remainder when i is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80.56568 + 0.19568. Let w = 80 + g. Let l = 0.47 + w. Which is smaller: 1\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 + 4*a**2 + 3*a. Suppose 0 = 3*p + 93 - 66. Let l(h) = -11*h**3 - 9*h**2 - 7*h. What is p*v(d) - 4*l(d)?\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*((2*r - 2*r + r)*(-r**3 - 3*r + 3*r) + r**4 + r**4 - 3*r**4 + 8*r - 8*r - 2*r**4).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b - 0, -b = k - 1. Calculate the smallest common multiple of k and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 18 + 5)*(0 + 3 - 1)*((2 - 3 + 0)*(-2*f - f + 5*f) - f + 4 - 4 - f - 2*f + 4*f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 827135, 827124, 827103, 827066, 827007, 826920?\n\"Answer: -h**3 + h**2 - 7*h + 827142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 22 + 21308*p + 21305*p - 42617*p. Give h(-13).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*o + 70*o - 66*o)*(-1 - 3 + 2).\nAnswer: 68*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -0.9.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 24*b - 5. Let y be -8 + -10*(-42)\/35. What are the prime factors of l(y)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85614 and 51927?\nAnswer: 77994354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 247 = 4*q - 873, 3*q = 2*c + 820. Find the second derivative of 541*t + 17*t**2 + t**3 - t**3 - q*t - t**4 + 3 - 266*t wrt t.\nAnswer: -12*t**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**2 + 576*w - 95. Let i(t) = 12*t**2 - 1145*t + 189. Let m(q) = 5*g(q) + 3*i(q). Find the first derivative of m(u) wrt u.\nAnswer: 2*u - 555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 9:49 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by (-4 - -2)*((-84)\/8 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = 4*z + 963, -1199 = 5*z - 3*b. Let d be 3 - 4 - (-1923)\/(-8). Let j = d - z. Is -1 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-6) - 1\/(-1). Which is the smallest value? (a) -1 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1576851 and 11221104.\nAnswer: 4467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2\/5 (c) -2\/5 (d) -1.722 (e) -924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + m - 129, 5*p + 4*m - 79 - 47 = 0. Let y(c) = -c + 2. Let i be y(-3). Suppose t = 9 + i. Calculate the remainder when p is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -204.3481\nAnswer: -61.30443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1505?\nAnswer: 2\/1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -112, 1 in descending order.\nAnswer: 1, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*g - 2*v, 0 = -5*g - 5*v. Find the common denominator of -3 + 11*(-2 + g) and 20\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358346993 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + i**3 - i**3)*(10*i + 3*i + 11*i).\nAnswer: -72*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 2*d + 0*d + (0*d + 0*d + d)*(-3 + 4 - 2) - 2*d - 2 + 2 + 3 - 3 + d + (1 - 3 + 1)*(20 - 20 - 6*d) to the form l + r*d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 780556 or 11708354\/15?\nAnswer: 780556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73404537727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - 0) + 0)*(-31)\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuatgpu. Give prob of sequence kpu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 30. Let s be (-1)\/((-19)\/114*1). Calculate the highest common divisor of s and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375723446 by 161.\nAnswer: -2333686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-35))\/((-11)\/(-22)). Which is the second biggest value? (a) f (b) 12 (c) -2\/17 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n**2 - 3*n**2)*(-66 + 62*n**2 + 66) + 5*n**4 - 5*n**4 + 2*n**4 + (4*n**4 - 4*n**4 + 2*n**4)*(2 - 1 + 1).\nAnswer: -118*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v - 2. Let r be s(0). Let c be ((-18)\/(-8))\/(r\/(-8)). Let b = 130462 - 130461. Calculate the greatest common factor of c and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 3*r**3 + 3*r**2 + 4*r**4 + r**3 - 2*r**4 - 4*r.\nAnswer: 2*r*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t. Let a(d) = -5*d. Suppose -6 = p - 2*s, 1 - 7 = -p - s. Suppose -10*i + 11*i + p = 0. Determine i*x(w) - 5*a(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -236, -9, 5, 22, -3, 3 in descending order.\nAnswer: 22, 5, 3, -3, -9, -16, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 4476381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 4*r + 4, -2*m - 4 - 19 = -5*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3220\/15)\/7 + 2*(-10)\/(-60) + 9?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v**3*w - 4217*v**3 + 117*v**2 + 650566*w**3 wrt w.\nAnswer: 3*v**3 + 1951698*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027*-0.51714.\nAnswer: 0.01396278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/24)\/(-5) + (-68)\/(-6). What is the closest to -0.2 in 0, -3, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:12 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, 72, 214, 422, 702?\n\"Answer: u**3 + 24*u**2 + 3*u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 178524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:48 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57381695, -57381698, -57381703, -57381710?\nAnswer: -57381719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 86 = -23*w. Solve -18 = -5*v - w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 144338931 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -70171 - 0.02\nAnswer: -70171.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*a**2 - 14*a + 26*a - 12*a.\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917002 greater than or equal to 6916996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122793 and 2243763?\nAnswer: 24681393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7199432858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*h - 37 - 5 = 332*h. Which is greater: h or 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1239 * -78502\nAnswer: -97263978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2408, 10425, 23800, 42545, 66672, 96193, 131120, 171465?\n\"Answer: 2*j**3 + 2667*j**2 + 2*j - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 15*x - 14*x + 11 = 0, v = -2*x + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 187*i + 3971. Give a(-61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 302 = -12578. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 15 = -5*c - 3*y, -2*y = -c - 3. Let t be 2\/c + 4\/6. Solve 2*v + 2*v + 12 = t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 13841863.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 56. Solve -4 - 5 = -u - d, -s = -3*u - d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1968\/(-4018)*63\/27.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -5*a**6\/2 - 3*a**5\/5 + 45*a**4\/4 + 13*a**3 + 3*a**2 + 26. Determine s so that d(s) = 0.\nAnswer: -1, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -49*b**3 + 2*b**2 - 6*b + 2. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*c + 19, -i - 2*i + c - 11 = 0. What is the biggest value in -0.4, -3\/7, i, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.987 + 0.113. Let x = 149 - 154.72. Let w = x + b. Round w to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuooopoa. What is prob of picking 1 a, 1 p, and 1 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195*h**5 + 132*h**2 wrt h?\nAnswer: 11700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 9 - (-14 + 6 + 0)) + 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -13*i**7\/210 + 109*i**4\/24 + 7*i**2. What is the second derivative of q(r) wrt r?\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243778\/495 - -2462\/5. Let z = -71\/99 - n. Do z and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*(w*w**(2\/5))\/w*w)\/w*w))**(18\/13))**(-41)*(w**(-1\/4)*w)\/((w\/(w**1*w))\/w)*(w\/w**0)**(4\/7) assuming w is positive.\nAnswer: w**(150693\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**3 + 4660*k**2 + 2309*k - 11063. Determine m(-582).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13183015?\nAnswer: 5, 61, 43223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600919597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:52 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c - 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 7*i - 4. Let h be l(-4). Let g = h + 9. Is 3 - g - (-578 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/673000 and -19\/400.\nAnswer: 1346000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4)*(-6)\/9. Let f be (4\/63)\/(18\/81). Which is the closest to -0.2? (a) f (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 - -58.6. Let p = -7 - a. Let i = 0.1 + p. What is the third smallest value in -1\/3, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -51*n. What is the remainder when f(-2) is divided by 1\/(-8) + 2\/(-36)*78399\/(-124)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 43*g**2\/3 - 880*g\/3 + 1936\/3.\nAnswer: -(g - 2)*(g + 44)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 + 7*l - 7. Let y(q) = 4*q**2 - 6*q + 6. Give -6*j(c) - 7*y(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -3, -2 in descending order.\nAnswer: 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 + 151*j**2 - 100 - 37*j**2 + (-j - 2 + 2)*(-1 + j + 1) as o + a*j**2 + q*j and give a.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/15 - w**3\/3 + w**2\/2 + 2*w. Let z(b) be the first derivative of q(b). What is the first derivative of z(o) wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4486 times -4\nAnswer: -17944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/4 + 8\/(-16). Suppose 2*o + 0*o = -h. Let z = -6 - o. What is the nearest to -1 in -3, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/(-1113)*(-7)\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**7\/1260 + d**6\/144 - d**4 + 7*d. Let g(i) be the third derivative of k(i). Find the second derivative of g(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 14 = -0*g. Suppose -2*p = -4*f + g, -5*p - 2*f - 20 = -7*f. Calculate the remainder when 25 is divided by ((-9)\/(-5))\/(p\/(-5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238 is divided by 523.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 7. Give o(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**3 + 802*v**2 + 1315*v - 289. Calculate m(-60).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1113\/504)\/53)\/((-77)\/(-33))?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times 0.0067251?\nAnswer: 0.4842072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-5)*(-40)\/(-5). What is the closest to -0.3 in b, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynwvnyywyn. What is prob of picking 1 y and 2 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 57*w - 339. Let k be o(6). Let n be (-30)\/(-9)*((-504)\/35)\/k. Sort -14, n, 1, -4.\nAnswer: n, -14, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x - 102 + 208 + 354 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 14*a = -4*l + 44720, 44710 = 4*a - l. Let s be (-4)\/(-14) + a\/322. What is the highest common factor of s and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21776 - 3200. Suppose -2714 = -c - 2*x + 3473, 0 = 3*c + 3*x - j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 + 48*i**4\/5 + 228*i**3\/5 + 48*i**2 = 0.\nAnswer: -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 31c818?\nAnswer: 31c80c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25a - 1c1a?\nAnswer: -1990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 55\/2 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2\/2 - 62081827*k\/6 + 6897981 = 0.\nAnswer: -20693943, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d**2. Let f(h) = -18*h - 10*h + 3*h - 44*h + 10*h. What is k(f(z))?\nAnswer: 59177*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a5 - -d?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1856519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 28 = 4*s, r - 17 = s - 37. Let g(y) = y + 18. Let z be g(r). Let o(b) = b**3 + b**2 - 17. Determine o(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0702 - 0.3512. Let g = -0.280863 - t. What is g rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/8*38\/(-152)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y = -17*y - 76780. Round y to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 + 6*w - 3. Let f be u(5). Suppose -f*j + 8 + 0 = 0. Let h = 16 - j. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203 = -143*w - 1371 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1780605 divided by -593535.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 6017. Let n(z) = -2*z - 29. What is s(n(d))?\nAnswer: 4*d + 6075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssl when three letters picked without replacement from {u: 6, l: 1, s: 7, m: 1}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/30 - v**4\/6 + v**3\/3 + 4*v**2 + 3. Let s be f(1). Solve -6*c + 3*c + 9 = s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.4 + -6.5. Which is the biggest value? (a) -8\/9 (b) -2 (c) -1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8221, 32808, 73775, 131122, 204849, 294956?\n\"Answer: 8190*p**2 + 17*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70568, -141044, -211470, -281846, -352172, -422448?\n\"Answer: 25*a**2 - 70551*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 462214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3256*y**3 + 461*y?\nAnswer: 19536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 20. Let y be 480*3*12500\/t. What is y rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666793377 divided by 24696051?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:08 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -801, -1137, -1419, -1629, -1749, -1761?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/3 + 7*t**2\/2 + 5*t + 14. Let b(s) = s + 1. Let m(g) = b(g) - i(g). Suppose 4*f + 16 = -0*f. Determine m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10973, 23730, 36487, 49244?\nAnswer: 62001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (4 + (2 - 22) + 26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -53 * -2523\nAnswer: 133719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 45 = -4*w. Put -11, w, 0 in descending order.\nAnswer: w, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -1\/6*p**7 + 0*p**2 - 8*p - 3\/2*p**3 + 0*p**4 + 0*p**6 + 0 + 0*p**5. Find the second derivative of x(a) wrt a.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u + 218. Determine b(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172837\/16 + -10808. Calculate the common denominator of h and -97\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = -5*q, 9*n - 2*q + 8 = 6*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(-1)\/1*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 192994 and 1430 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:22 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2*y**4 + y**2 - 13)*(2*y + 0 + 0).\nAnswer: -4*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 5083 - 4831 = 0. Solve 4*z = -8, 4*z = p - 4*p + c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71, 68, 65, 62, 59?\n\"Answer: -3*n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + v**5 - 2*v**5 + v**3 - 2*v**5 - v**3 + v**5 - 4*v**5 + v**5 + (v**4 + 1 - 1)*(-3*v + 0*v + 2*v) + (0*v + v - 3*v)*(-3 + 3 + 2*v**4).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by -47.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by 2.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077114971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.696 - -27.210476. Let x = q + 0.086594. Let s = x + 0.397. What is s rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*m - 14 = -4*g + 674*m, -3*m + 9 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2162 (b) 0.9 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 1027*u + 1033*u - 1 + 1 to j*u**2 + n + f*u and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-8))\/((-5)\/(-60)). Let l be (4 - 22)*3\/r. Find the second derivative of -l*d**5 + d + 3*d**5 - 10*d - d wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 + 13. Calculate v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 7. Suppose -6*l = -u*l. Let f be -1*(l\/2)\/(-1). Which is the third smallest value? (a) -5 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 34.83. Let y = -8.17 + q. Let h = -7.9965 - y. Round h to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 + 54402*q**3 + 988482396*q**2 + 70959357504*q + 1276000604928.\nAnswer: 3*(q + 36)**2*(q + 36232)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 36092.8449 minutes?\nAnswer: 3.580639375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -6184563329.08?\nAnswer: 6184563328.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by -11.\nAnswer: 131\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 2?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77110, 77098, 77080, 77056, 77026, 76990?\n\"Answer: -3*s**2 - 3*s + 77116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*u = -6, -3*u = -0*h + 3*h - 39. Suppose -11*i = -9*i - h. Suppose -68 = -3*x - 8. Calculate the greatest common factor of i and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.9036 nanometers in meters?\nAnswer: 0.0000001989036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-81)\/12)*45\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17735744.\nAnswer: 2, 13, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 2096930372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 13630800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, c: 1, t: 4, u: 2}. Give prob of sequence mucu.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168032 at most 1168031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 3*z - 4. Determine o(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28904 = -3*b - 2681. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -128583*h - 900138. Determine b(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4839 divided by -14?\nAnswer: -4839\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102663093?\nAnswer: 3, 13, 2632387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69b - d575?\nAnswer: -cdc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -701.\nAnswer: -50472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*h\/h**16)\/(h**(-3\/11)*h\/(h*h*h*h**(6\/5)*h)) assuming h is positive.\nAnswer: h**(26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1097315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99651310 to the nearest integer?\nAnswer: 9983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2\/5, 2\/23, 0.5 in ascending order.\nAnswer: -7, -2\/5, 2\/23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnb when three letters picked without replacement from {n: 2, b: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 424 = -z + 2*z, -5*z = 20. What is the remainder when 4478 is divided by c?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.40933 - -0.00933. Which is the nearest to 4? (a) -166 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*c**2*d**3 + 258*c**2*d + 287893*c**2 + d wrt d?\nAnswer: -27*c**2*d**2 + 258*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 235272.\nAnswer: 2587992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**6 - 3*w**5\/5 + 7*w**4\/2 + 3110*w**3\/3 - 4506. What is the third derivative of q(z) wrt z?\nAnswer: 360*z**2 - 72*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4 + 52826*u**3 - 2061591*u**2 + 7612420*u - 7401100 = 0.\nAnswer: -52865, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:11 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -22 + 3206. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 + 7*r + 7. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*k + 21 - 21 + 810*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 9*p**2 - 54*p - 422. Let k be m(-10). Which is greater: 204\/11 or k?\nAnswer: 204\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 + 0*h**2 + h**2)*(-7 + 7 + 2*h) + 2*h**3 - 4*h**3 + 0*h**3.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h - 7. Suppose 3*l = 5*l - 8. Let k(n) = -7*n - 8. What is l*k(m) - 5*v(m)?\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30782 is divided by 993?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2 + 0 - h**3 + 0 - 3*h - 3*h**2. Let v be r(-2). Solve 4*c = -v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + g = 1, -4*g = g + 10. Suppose 2*x - 1 = 5. Solve -7*i = c*w - 4*i - x, -5*w + 1 = 3*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 0, 8, 5, 42 in descending order.\nAnswer: 42, 8, 5, 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1743.901 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 44. Let a be p(13). Suppose 2*n = 6*n. Suppose -2 = -n*f - f + o, 0 = -a*f + 4*o + 10. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 56.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 220965917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2\/3 - 62120*a - 186364\/3 = 0.\nAnswer: -1, 46591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(33\/126) + 28\/(-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**3 + 6*m**2 + 3*m + 7. Suppose 10*a + 6 + 44 = 0. Is u(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -119.482 and 0.2694?\nAnswer: 119.7514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 253197, 2, 2\/3.\nAnswer: -3, 2\/3, 2, 3, 253197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 1 - 42 = -k, -2*p + 1364*k - 1366*k = -22 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:48 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5950, -51332, -177540, -425950, -837938, -1454880?\nAnswer: -2318152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29542 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 1, d: 6, v: 3, q: 3, s: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b**4 - 208*b**3 - 4*b**2 - 5*b + 11 wrt b.\nAnswer: -288*b - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57319 is divided by 78?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*o*x**3 + 153704*o*x + x**3 - x**2 - 3164*x + 39 wrt o.\nAnswer: -19*x**3 + 153704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 572\/(-66)*531\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 13*w**2 + 15*w - 5. Let n be z(14). Suppose 37 - 1 = n*k. Let d = 0 + 12. Solve 4*p - d = k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020142 rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:16 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7197*p - 7187*p = 39370. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 4*j - 9, -4*p - 6 = -2*j. Let t = 25 - 101\/4. Do t and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 + 136.274. Let c = 0.415 - b. Let t = c + -0.408. What is t rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 1:00 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w + 0*w + (0 + 0 + w)*(-5 - 8 + 12))*(-6*w**4 + 16*w**4 - 8*w**4).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 3*i + 3*i + (5*i + 0*i - 3*i)*(-4 + 4 - 2) + 2 - 2 + i + (-3*i + 2*i + 2*i)*(-3 + 2 + 2) + 1 - 1 + i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.55777 days to seconds.\nAnswer: 4627391.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24b - -9?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 + -179. Let i be (-15)\/(-2)*4\/(-5). Let y(z) = z**2 + 8*z + 27. Let f be y(i). Solve c = -l - 2*r + 6, -f = r - 4*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faaf when four letters picked without replacement from {a: 2, f: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 435.7 + -435. What is the third smallest value in 1\/5, a, -1, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 108 + 16. Suppose 0 = 3*d + 5*k - u, 2*k = d + k - 21. Calculate the greatest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - (-1 - -2)) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1149 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2269761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d - 48*d - 354 = 0. Which is bigger: d or -356?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w + 9. Let y be q(9). Let t = 185 + y. Round t to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 12 - 6. Let d = i - -13. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42127900 rounded to the nearest 100000?\nAnswer: -42100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 75928380075 + 75928380075.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 5*w - z = -9, 0 = 2*w + 5*z - 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 s when three letters picked without replacement from sssssssssqssn?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 14?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/344608 and 131\/845856.\nAnswer: 9304416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by (28\/(-10 - -24))\/(3\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 67425?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -0.5, -0.04, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165740?\nAnswer: 2, 5, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**3 - 5*v**2 + 4*v - 3. Let u be a(1). Suppose -7 = -k - 1. Calculate the greatest common factor of k and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 44, 55, 66?\n\"Answer: 11*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1182 * 4.\nAnswer: -4728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - g**4 + 4*g**4)*(-5 + 3 + 0).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 10*a**2 + 10*a - 7. Let p be t(-11). Suppose -5*r + 439 = -3*y - 106, -p*y = 0. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -612 + 627. Solve 0 = -5*b + 2*b - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - 2*p - 6. Let k = -10 + 14. Let d(m) be the first derivative of -7*m**3\/3 + 5*m**2\/2 + 13*m + 456. Give k*d(u) + 9*c(u).\nAnswer: -u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*n - 10 = 0, -j - 8*n + 4*n = -6. Let q = j - -8. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/208)\/((-27)\/(-576)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 + 27630*k**2 - 1590175539*k\/5 - 6362912748\/5.\nAnswer: -3*(k - 23027)**2*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwg when three letters picked without replacement from lwtaghhwa?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3132 and 126.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 272158030 to the power of 1\/2, to the nearest integer?\nAnswer: 16497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x + 6. Let u(w) = -w**2 - 4*w + 1. Let a be u(x). Solve 0 = -5*j - a*r + 1, -2*j - 4*r + 2*r + 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**6\/360 - t**5\/30 + t**4\/24 + t**3\/3 + t. Let g(k) be the second derivative of i(k). Does 6 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 8. Let s be m(-5). Suppose -y + s*y = -x - 7, 3*y + 3 = x. Let h = -39 + 40. Put h, 2, y in decreasing order.\nAnswer: 2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 3:56 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 12. Let s = 5 - k. Factor -2*m**4 + 2*m**5 + m**3 - s*m**4 + m**3.\nAnswer: 2*m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6290 + -a?\nAnswer: -629a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*a + 1 = -0, -5*v - 2*a - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -16 (c) -110843 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -118 times 123785\nAnswer: -14606630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-2\/67)\/(q\/(q*q**(-2\/5)*q))**(2\/147) assuming q is positive.\nAnswer: q**(1114\/16415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2228584913\/1020 + 2184887. Calculate the common denominator of l and 161\/180.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4135609, 4135621, 4135633?\n\"Answer: 12*l + 4135597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -860*c**4 + 69180*c**3 - 98315*c**2 + 28020*c + 1975 = 0.\nAnswer: -5\/86, 1\/2, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5657016 - 5657016 - 47*d.\nAnswer: -47*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 1965*f**2.\nAnswer: -5*f**2*(f + 393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f - 12. Calculate t(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 13082*q + 313528. Determine k(24).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 2*q**3\/3 + 1. Let w(d) = 5*d + 2*d**2 - 15*d + 10*d. Give a(w(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14843002 by 65677.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + g**2 + 2*g - 15. Determine f(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 77 = -2*t, -56 = -3*t - 4*h + 43. Let y = t + -31. Let d be 1 + 35 + (-24)\/y. Calculate the highest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11274, -11249, -11178, -11037, -10802, -10449, -9954?\n\"Answer: 4*l**3 - l**2 - 11277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -11*j**3\/3 - 6*j**2 + 6*j + 62. Let z(u) = 5*u**2 + 6*u - 2. Let a(l) = -3*o(l) - 7*z(l). Solve a(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-660)*11)\/((-6)\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4046787 + 1?\nAnswer: 4046788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.1097174 to 0 decimal places.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/1 + 3 + 2. Let k be (-48)\/(-9) + 48\/18 + -3. Put l, k, -1 in increasing order.\nAnswer: -1, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.971 + -0.029. Let b = 33.13 - 33. Let o = b + 18.87. Put h, -0.1, o in ascending order.\nAnswer: h, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1879765.922 - 3348.\nAnswer: -1883113.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -337 - -4798. List the prime factors of f.\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 - 97a03?\nAnswer: -97973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*s = 0, -j = -2*s - 0*s. Let c(v) = 3*v**3 + v. Let d be c(-1). Let w = 10 + -6. What is the third biggest value in j, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82626758*z**3 - 40997133*z.\nAnswer: -495760548*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -289, -272, -219, -112, 67, 336, 713?\n\"Answer: 3*q**3 - 4*q - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520) - 1*((sqrt(3520) - sqrt(3520)*-2) + sqrt(3520)) - -6*1*sqrt(3520))\/(1*sqrt(180) - (sqrt(180) - sqrt(180)*3)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4654.29 microseconds to nanoseconds.\nAnswer: 4654290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 5*w**2 + 2*w**3 + 4*w**2 - 5*w**2 - w**2. Suppose -1705*n = -1701*n + 8. Give h(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-2 + -5 + (sqrt(396) + 3 + 3)**2 + -2.\nAnswer: 60*sqrt(11) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344712 and 4664?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17 - -2)*(-2 + 2\/10). Let s(p) be the first derivative of p**5 - 13*p**2 + k - 20 + 25. Find the second derivative of s(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/70*-7*-1*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 25*r + 90. Let l be p(21). Calculate the highest common divisor of 45 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s + 20. Sort -5, s, 12 in decreasing order.\nAnswer: 12, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10212 and 11544.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*i - 25, i - 9 = -4*l - 4. Suppose 20 = 5*q - 0*q. Solve i*h - 1 - q = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2*k**7\/105 + 2*k**3\/3 - 2*k**2 + 2. Let l(s) be the second derivative of i(s). Differentiate l(c) wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 116388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*c - 494426 = -496274 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 17*u + 10. Suppose 4*a - 3*w = -65, -2*w + 3*w = -3*a - 52. Give h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0 + 1\/4*j**4 - 7\/2*j**3 + 13*j**2 + 0*j. Let z be a(4). Solve 4*h = -5 - z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 34, -3\/5, 3 in descending order.\nAnswer: 34, 3, -3\/5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13224044 (base 7) in base 10?\nAnswer: 1216310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4))**9\/(i**(-2\/7)\/(i**(6\/5)\/i)))\/((i*i**(2\/3)*i)\/(i**(3\/5)\/i)*i\/(i\/i**(-4))*i**(-6)) assuming i is positive.\nAnswer: i**(5951\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27962)\/5588 + 1*5. Let f = s - 497\/2794. Let p be (-78)\/21 - 4\/14. What is the fourth biggest value in 4, p, f, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213403105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04813 - 0.05187. Let f = 2\/45 + -49\/90. Let i = 179 + -1250\/7. Which is the nearest to f? (a) -3 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*0.17.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.2, -5, 2\/19, -43\/810?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231643.\nAnswer: 7, 175949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 169172 - 187931 = 0. Which is smaller: 1442 or x?\nAnswer: 1442","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.57 - 57. Let k = p - -3.03. Which is the closest to 0.02? (a) 5 (b) -1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let o = 8 + -5. Let d = -3 + 14. Solve -n - o*h = 8, d = -3*n - l*h - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:05 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t + 2. Is m(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 12*g - 10. Suppose 3*q + 3*p = -33, -4*q + 5*p - 7 = 1. What is the remainder when 9 is divided by j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 - 5455860*b\/11 + 3720801042450\/11.\nAnswer: 2*(b - 1363965)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 13. Suppose 24 = d + d - 2*p, p + l = 0. Suppose 21 = 4*b + 2*j - 5*j, 3*b + j - 6 = 0. Solve -4*m = d - b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - 2 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - b)*(-13*b - 35 + 35) as x*b**2 + s*b + u and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 36*v**2 + v**2 - 16*v**2 + v**2 - 2*v**2 + 3*v**2 + (1 - 2*v - 1)*(v - v - v).\nAnswer: 25*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-85) - 1 - (1 - 30\/34). Sort -922, 3, q.\nAnswer: -922, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14299 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22005478.\nAnswer: 2, 11, 1000249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*q + 7 = 0, -2*q - 21833 = -149*l - 21076 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47217385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 97 + -2 - 4 - 1. Let y = -88 + x. Solve 0 + y = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 113 = 3. Is t smaller than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuufuunnfffufunnu. Give prob of picking 1 n and 1 f.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -119*g + 118*g - h, -4*h = 3*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -49. Suppose 0 = -4*w + u, 3*i + 330 + 840 = 3*w. What is i rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 111.12. Let y = i - 1.68. What is the nearest to 0.2 in y, 4, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/(2\/3). Suppose -3*s + 4*a = -k*s - 5, s - 5 = 2*a. Solve -d + 4*j + 5 = 0, -s*d - 5*j = -0*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2*v. Let u be w(3). What is the greatest common factor of 30 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -32*g**2 + 8*g**2 + 17*g**2. Let m = -14 + 16. Let d(i) = -3*i + 4*i - m + 2. Calculate d(o(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x*x*x**(2\/7))\/x))**(-25\/3)*x**(-6\/5)*(x\/(x*x**11)*x)\/x assuming x is positive.\nAnswer: x**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1816\/(-1135))\/(((-3)\/(-4))\/(30\/48)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332090 divided by -10.\nAnswer: -33209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -628, -945, -1264?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48*-436.78\nAnswer: 20965.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - z**2 - 2*z - 3*z**2 + z**3 - 2 - 2*z**4 + 4*z**2 + 3*z**2 to the form b + d*z**2 + f*z**3 + r*z + v*z**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36024 is divided by 36022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:18 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*z + 147*z - 44*z - 47*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 3*q - 28, -3*u - q = -20. Let r = -2 + 4. What is the greatest common divisor of r and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2174756*j**5 - 4*j**3 + 110688261*j**2.\nAnswer: 130485360*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*p + 39, -5*p + 32 = -4*j + 2*j. Let h = j + 20. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17927 is divided by (-17)\/(-1292)*19 + 1\/(4\/71)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/4 - -2*1. Let g = -8 - -15. Let s be g\/42 - (-11)\/6. Solve 18 = 2*k - s*n, -k = 3*k + z*n - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - -450.04. Let a = -778 + h. Let d = 330.51 + a. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02616932 from 9.\nAnswer: 8.97383068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -2 + 5)*(-6)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 1445 = -80*k. What is the fourth biggest value in 3, -0.4, k, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132460574*f**3 - 24800299*f - 2 wrt f?\nAnswer: 794763444*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 4*r**2 - 5*r + 2. Let c be y(5). Let i(j) = -4 - c*j - j + 4. Let b(f) be the first derivative of -3*f**2\/2 + 5. Calculate i(b(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2, 1\/6, -3\/5, 0.02, -0.17, 23.9?\nAnswer: 23.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + -2*sqrt(13)*2 + 4 + -5 + sqrt(39)\/sqrt(3) + sqrt(13) + -3 + 2)**2.\nAnswer: 12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10*605\/(-1122). Let d = 2\/17 + m. Factor 1\/3*l**2 + d*l - 1\/3*l**3 - 1\/3.\nAnswer: -(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 163*h**2 + 2590*h + 14258. Give m(178).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12288*h**3 + 4136*h**3 + 3630*h**3 + 4324*h**3.\nAnswer: -198*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 2*o**2 + 2*o + 2. Let a be j(-2). What is r in a*r**3 + 10\/3*r**5 - 34\/3*r**4 + 0 + 4\/3*r - 22\/3*r**2 = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a factor of 989056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(16) - (sqrt(16) - sqrt(144))) + sqrt(16))*-4)\/((sqrt(968) + sqrt(968)*-2 + sqrt(968))*6 - sqrt(968)) + 0.\nAnswer: -68*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 437 + -434. Let o(k) be the first derivative of -23 + 8\/15*k**i + 0*k + 1\/10*k**4 + 3\/5*k**2. Factor o(x).\nAnswer: 2*x*(x + 1)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3840781198.\nAnswer: 2, 1867, 1028597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 5\/144*u**4 - 1\/2016*u**8 + 0*u + 1\/180*u**5 - 1\/315*u**7 + 5*u**2 - 1\/180*u**6 + 1\/18*u**3 + 0. What is d in i(d) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6935176 divided by -1432.\nAnswer: 4843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 7*m - 3. Let v be b(8). Suppose -2*t + v = -15. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8) - 7\/21.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d - 29. Let n be k(-8). Let t = 83 - n. What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2. Let y = -6 + 9. Let c = 1 - y. Let i be u(c). Put 2, -3, i in ascending order.\nAnswer: i, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 2, a: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/210357 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 4*j**2 - 2*j + 3*j**3 + 3*j**2 to p*j**2 + l*j**3 + z*j + i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s + 23*s - 259. Solve -22 = 5*g - s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6451523 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.03 and -435.\nAnswer: -448.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 721*m**3 + 135*m**2?\nAnswer: 4326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 5*c + 18. Calculate the lowest common multiple of g(-6) and 1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+30291736636\nAnswer: 30291736635.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 35462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9)*1)\/(1118\/387)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238049 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-13 - (1 + -1) - (-771 - -760))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89651869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-6 + 14 + -5 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w - 12. Let x be 1\/(-7) + 374\/(-77). What are the prime factors of p(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 10*a + 19. Let l(s) = s + 5*s - a - 9*s + 4. Let z be l(-8). Solve u + z = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (-10 + 4 - -3). Suppose -j*s = -6*s. Suppose h + 2*h = 0. Solve s = -h*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-58)\/(-3))\/(2\/6). Suppose 16*i = 1450 - v. Let w = 113 - i. Is 27 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 + -162. Let f(g) = -11*g**3 + 4*g**2 + 4. Let s(y) = -10*y**3 + 3*y**2 + 3. Give k*s(i) + 3*f(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:05 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 427\/441)\/(1\/3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -18576612*i. Let u(y) = 26*y**2. Give x(u(q)).\nAnswer: -482991912*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 11*s**2 - 4*s - 1. Let h be z(11). Let a = h + 77. Suppose -184 = u + 3*u - 2*l, u + 3*l = -a. What is u rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5439*z**2 + 1099*z + 12 = 0 for z.\nAnswer: -4\/21, -3\/259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let j = 5139 - 5139.1. What is the closest to j in -5, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 251?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -1\/2*b**2 + 6*b + 2 + 5\/3*b**3 - 1\/4*b**4. Let t be c(5). Do t and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.92 and -4?\nAnswer: -15.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2606 + 833. Let t = a + 2532. Suppose g + t = -641. What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/8526 and -67\/12369?\nAnswer: 5021814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*t + 24 - 46 + 22.\nAnswer: -589*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -529, -407, -287, -169?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9 and 137\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:14 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68976*l**3 + 68979*l**3 - 49*l**2 - 137951*l**3.\nAnswer: 4*l**3 - 49*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.53494484 + -1.65?\nAnswer: 112.88494484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 251483 + 35948. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t + 3. Let b be z(3). Let c be (-9)\/15 - (-3)\/b*26. Let f be c\/((4\/(-14))\/(12\/(-21))). Solve -5*u + 3*j - f*j + 16 = 0, u = -4*j + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 66*w**2 - 56*w - 2117. Calculate c(-65).\nAnswer: 5748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 22*a + 210. Suppose -3*k = -4*f - 0*f + 1072, 0 = -f - 4*k + 249. Let b = f + a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 20 = -6*m - 7*m - 12, -4*m = k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 102604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 7. Let x be d(-9). Let j be (x\/(-3)*-6)\/(-2). Let n = 3 - j. Calculate the highest common factor of n and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 21*v**4 - 27*v**3 - 15*v**2 + 27*v - 6 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - m**4 + 0*m**4 - 2*m**4 + 0*m**4 + (-2*m**3 - 6*m**3 + 4*m**3)*(m - 3*m + 4*m).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31*-1 - (-122138)\/3530. Factor 18\/5*r - n*r**3 + 12\/5*r**2 + 3\/5*r**4 - 3.\nAnswer: 3*(r - 5)*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/3 + 655*k**3\/3 + 12014*k**2 - 38016*k = 0?\nAnswer: -594, -64, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (38 - (-6 + 28)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:36 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**2))**(-3\/11)*(((q**(-2)\/q)\/q*q)\/q)**(14\/3) assuming q is positive.\nAnswer: q**(-598\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438086 is divided by 10178.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 + -2 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3 - 0. Let y(d) = d**2 - 2*d. Let i be y(2). Suppose 4*v - 89 + 29 = i. Solve -c - v = -t*z - 4*c, -1 = -2*z + c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 6, 3*a = -l - 6 - 44. Let m be -1 + 7\/((-28)\/a). Let y(x) = -2*x + 8*x + m*x. Let b(r) = -2*r. Calculate b(y(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 + 560*c**3 - 2295*c**2 + 2890*c - 1160 = 0 for c.\nAnswer: -116, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 + 277. Suppose 3*q = r - 14, q = d*q + 5*r + 25. Let s(k) = -k + 2. Let j be s(4). What is the nearest to j in -2\/15, q, 0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2377796 and 107\/132?\nAnswer: 78467268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*o - 330451 - 1253432. What are the prime factors of o?\nAnswer: 3, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 77 + 3. Suppose 4*b - 60 = -u. Suppose 0 = -2*t - b, -5*z + t - 3 = -18. Solve h + 0 = -z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 17*n + 105 - 7.\nAnswer: 17*n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*((-4*sqrt(65)*-4)\/(-2*sqrt(720)))**2.\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from qcclqqqqk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(560) - sqrt(560)*-1))\/(1*(sqrt(175) - (sqrt(175) - (-2*sqrt(175) + sqrt(175) - sqrt(175))) - sqrt(175))).\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 145, 472, 1089, 2092, 3577, 5640, 8377?\nAnswer: 11884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h. Suppose h = -4*k + 5 + 23. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1 - sqrt(13)) + sqrt(13) + sqrt(13))*4 - (4 + sqrt(117)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - -234. Let r be (-18)\/(-2)*(-187)\/(-51). Calculate the highest common divisor of r and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1*-1 + sqrt(144))\/(sqrt(63)\/(1*sqrt(7))))\/(sqrt(80)\/sqrt(810) + sqrt(16)\/(sqrt(2)*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 49697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301)\/(-215) + (-6)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adddadddaadddaddbddd. What is prob of sequence baa?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1) - -4 - 1\/(-2). Which is the fourth smallest value? (a) 0.2 (b) -1\/4 (c) s (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -9924.2?\nAnswer: 9924.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) -0.9 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12*t + 21 = 0. Suppose -2*i = 5*o + 14, t*i + o + 2*o + 3 = 0. Solve i*q + 3 = 3*z - 24, -2 = -2*q - 2*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + f + 24 - 9*f)*(-3 + 4 + 0) - f - f + 4*f.\nAnswer: -6*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e0539 + 6?\nAnswer: 4e0540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 3*w + 17, -w - 27 = 4*l - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kll when three letters picked without replacement from lkkkkkkkkkllllllllkk.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6826266 is divided by 194.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 9*p**2 + 16*p - 10. Suppose -6*c - y = -9*c + 19, y = 4*c - 26. Give k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5402 and -595473?\nAnswer: 595472.4598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bht when three letters picked without replacement from {b: 6, t: 2, o: 3, h: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2512*p - 25118. Let i be g(-10). Let r = -1 + -1. Let k = 2.2 + r. What is the smallest value in k, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 36, 5 in descending order.\nAnswer: 36, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 40 = -n, j - 2*n - 7 - 3 = 0. Let z(a) = 27240*a - 81630. What is the lowest common multiple of j and z(3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 46 = p, -7*g - p + 187 - 26 = 0 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 8*f - 8. Let u(n) = n**2 - 5*n + 5. Let d(b) = 8*u(b) + 5*v(b). Let t = 7 - 4. Let y(q) = -3*q + t*q + q. Determine d(y(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 15836*r - 12561127. Let p(i) = 23*i**2 - 126681*i + 100489017. Let d(w) = 17*n(w) + 2*p(w). Suppose d(l) = 0. What is l?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320) - -4*sqrt(20)*2)\/(((sqrt(70) - 2*sqrt(70)) + sqrt(70) - sqrt(70))\/sqrt(7) - ((sqrt(90)*-1 - sqrt(90)) + sqrt(90))) + 2.\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -891, -1784, -2675, -3564, -4451?\n\"Answer: j**2 - 896*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -46*t. Let l(y) = -10185659*y**2. Determine f(l(a)).\nAnswer: 468540314*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 16}. What is prob of sequence jo?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*r - 21, -r = 3*r - 2*s - 30. Suppose -3*q + 18 = r. Suppose 36 = q*o - 4. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 + 143*n - 96. Determine v(35).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*q + 18, 5*q = 3*s - 7*s + 41 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -0.5, -25, -0.1, 0.1 in descending order.\nAnswer: 0.1, -0.1, -0.5, -16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2187704914, -2187704916, -2187704920, -2187704926, -2187704934?\n\"Answer: -m**2 + m - 2187704914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - -3 - -1) + (-20 - (-59 - -27)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 602194*f**4 - 674787 wrt f?\nAnswer: 2408776*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*i + 86*i + 335*i + 97*i.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7426*c**2 - 5*c + 70. Let r(s) = 7425*s**2 - 4*s + 56. Calculate 4*j(f) - 5*r(f).\nAnswer: -7421*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -114\/31, -0.5, 44, 7.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + sqrt(20)\/sqrt(4) - sqrt(320)\/sqrt(4)) + (sqrt(120)\/(sqrt(32) - sqrt(8)))\/sqrt(3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17496920.\nAnswer: 2, 5, 7, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 16\/3, 75, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11979*r - 1528. Is s(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212033301123 (base 4) in base 13?\nAnswer: -21006b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 15*o**2 + 40*o + 2. Does 86 divide g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3761, -3775, -3787, -3797, -3805, -3811?\n\"Answer: g**2 - 17*g - 3745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/4*((-59040)\/(-400))\/123\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5 + 21489*r**4 + 115175246*r**3 - 2891815090*r**2 + 5438018481*r - 2661400127 = 0. What is r?\nAnswer: -10757, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46675, 187060, 421037, 748606, 1169767?\nAnswer: 1684520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374874 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 3 + -1)\/2. Suppose -3*r - 13 = -p. What is the nearest to 1 in 0.5, 4\/5, r?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1\/2*t**4 + 5*t + 0 - 3\/20*t**5 + 0*t**2 + 0*t**3. Factor d(s).\nAnswer: -3*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 183*w**2 - 3600*w - 22464.\nAnswer: -3*(w + 13)*(w + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2071409 + 1141016. Let q = o - -930392.5000215. Let c = q + 0.5. What is c rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**3\/3 + 3*u - 2. Let r(y) = -6*y - 1. Determine r(i(g)).\nAnswer: 12*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 - h + 9. Suppose 0 = 2*d - 5*n + 6, -2*n = 2*d - 0*n - 8. Let y(t) = t**3 + t**2 - 1. Let x(q) = d*y(q) + m(q). Determine x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-23)*o)**33\/(o\/(o*o**37)*(o*o**(-14\/3))\/o) assuming o is positive.\nAnswer: o**(-1855\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 152.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -34. Let v be (4\/2)\/(6\/u). Solve -v*r - 1 = -16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -9, -16?\n\"Answer: -7*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1366*j**5 - 2998*j**2?\nAnswer: -81960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53775 and 486?\nAnswer: 2903850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:49 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5480 + -1040?\nAnswer: -6530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 10, 146, 440, 946, 1718?\nAnswer: 2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*j - 6 + 38 = 0, x - 16 = 3*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101392626 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 p(g) = g + 17. Let x be p(-13). Suppose -3*m + x*m = 0. What is the units digit of 4\/(m + 4) + 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.915 + 0.085. What is the nearest to 1 in 0.1, -0.4, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**14\/(d**(1\/7)\/(d**1*d*d*d*d)))\/((d**(-1\/2))**46*(d**(1\/3))**(3\/20)) assuming d is positive.\nAnswer: d**(4453\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-12)\/(-9). Let m = 11 - 6. Find the third derivative of x**m - x**n - x**2 - 3*x**5 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 15) to base 13\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u**(2\/15))**(-23) assuming u is positive.\nAnswer: u**(-1679\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from cdcccccc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-10 + 6)*-4. Is ((-955)\/4)\/(12\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -13. Let i be -2 - -4 - (10 - 15). Suppose 0 = -i*f + 6*f + u. Calculate the least common multiple of 34 and f.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -31. Suppose 2*t - 8*t = v. Solve 4*a - 3*c - 6 = 0, t = a - 0*c + 2*c - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-87)*(-39)\/1404?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197 is divided by 437.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 633*l + 12*l**3 - 633*l + (-l**5 + 3*l**4 - 3*l**4)*(2 + 2 - 2) + 20*l**5 + 9*l**5 + 9*l**5.\nAnswer: 39*l**5 + 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*x - 1. Let p be (-1)\/(3 + x) + 4. Find the third derivative of p*s**2 - 21*s**4 - 6*s**6 + 21*s**4 wrt s.\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:42 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 + 0*z + 0 + 0*z**3 - 3\/4*z**4 - 3\/4*z**5.\nAnswer: -3*z**4*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9353887, 0.08, 4, 2\/3 in increasing order.\nAnswer: 0.08, 2\/3, 4, 9353887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -58 (b) -32\/21 (c) -1.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*y + 51 = 0, y + 113 = 4*z + 50. Solve 11*c + z + 18 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 13. Sort 4, -4, l in increasing order.\nAnswer: l, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-14)*1\/((-36)\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3426174.\nAnswer: 2, 3, 131, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/20 - 2*j**4\/3 - 113*j**3\/3 - 22*j**2. Find the first derivative of g(f) wrt f.\nAnswer: 6*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26376426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -15*p + 89. Let s be w(6). Which is the third biggest value? (a) s (b) 0.09 (c) 3\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0*c**2 + 1\/3*c**3 - 1\/2*c**4 - 5*c + 0. Find the second derivative of i(s) wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 1)*(-309 + 309 + 114*s) in the form i*s + c and give i.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a + 6. Let q = 4 - 7. Let v(g) = -17*g - 17. Let k(o) = q*v(o) - 8*r(o). Let i = -512 - -509. Determine k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let j = 0.35 - 0.15. What is the nearest to 1\/4 in m, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 0.4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15247 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*v - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267 and 4806.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123\/2017 or -286?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**4 - 11*s**2. Let w = -8 + 3. Let l(j) = 5*j**2. Let g(r) = w*l(r) - 2*k(r). Find the third derivative of g(o) wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4de (base 16) to base 7\nAnswer: -3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 0.5, 1\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 7*d + 5. Let u = 0 - -13. Let f = u + -7. Is q(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.735 - 0.735. What is the closest to a in 5, -3\/2, -6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -6?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -58 + 170 - 55 + 15*t. Does 16 divide l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**9\/90720 + w**8\/6480 - w**7\/2835 - 5*w**5\/4 - w**2 + 5. Let q(m) be the third derivative of k(m). Factor q(y).\nAnswer: -2*y*(y - 4)*(3*y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37980 to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l - 315 = 27*l. Let p(w) = -w**2 + 17*w + 19. Calculate p(l).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**2 - p**2 + 2*p**2 to the form f*p + r*p**2 + m and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6, -2*l - 3*w - 81 = -3*l. Let f = l + 173. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30582 + 30581.7. Sort 1\/541, 1\/8, 0.5, t, 5.\nAnswer: t, 1\/541, 1\/8, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 110 = -4*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126.71 + -126. Let f = b - 0.7026. Round f to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/(-3480))\/(81\/(-648)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*q - 0 + 154 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*o - 6 - 5*o**4 + 66*o + 6 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382696 divided by 2.\nAnswer: 191348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 114215 = 13*s - 6*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437127361 - -0.3895?\nAnswer: -437127360.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264*j**3 - 162*j**3 + 290*j**3)*(0*j**2 + 2*j**2 - 4*j**2).\nAnswer: -784*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1339 - 1344. What is the closest to -4 in 1\/4, -0.4, u, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3052*w + 3051*w. Solve -4*l - w = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) -64 (c) 0.03 (d) -0.2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**3 - 5*a**2 + 2*a + 6. Let p(v) be the first derivative of 7*v**4\/4 - 4*v**3\/3 + v**2 + 5*v + 19. Determine -5*h(n) + 6*p(n).\nAnswer: 2*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 13 - -2) + -14 + (-7 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**4 + 11440*b**3 - 121*b**2 + 4392667*b + 1 wrt b?\nAnswer: -96*b**2 + 68640*b - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = -2*x - 0, -2*o + 4*x = -20. Suppose 0 = -r - o*r. Factor -2 - 4*i - 2*i + r*i**2 - 3*i**2 - i**2.\nAnswer: -2*(i + 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/((-3696)\/(-126)))\/(3\/(-744)*6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/37596 + 46980901\/18798. Let u = m + -2513. Let b = 11\/14 - -65\/42. What is the common denominator of u and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:32 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -5*j + u - 5, 3*u - 21 = 2*j. Let q be (j\/2)\/(9\/(-60)). Let c = q - 40. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19728 - 14512. List the prime factors of j.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 22 = 8. Suppose -361 = -3*y - q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r)\/r)\/(r\/(r**(-9)*r))*(r**0)**(-2\/23)*r**(-2\/17)*r*r*r\/(r*r**(3\/5)*r*r*r*r*r)*(r*r**(2\/9))\/r**(-2\/9) assuming r is positive.\nAnswer: r**(-9389\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -22498?\nAnswer: 8999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -92*u - 6. Let d be v(-13). What is d rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135292 and 19569216?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22540\/51 - -442. Does b = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 2. Let w = n + -3. Suppose 3*k + 4*u = 2*u + 17, -3*u = -4*k. Solve -w*t = k*i - 3, 8*t + i + 10 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 502\/569921 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2 - 27876725*v - 55753470 = 0. Calculate v.\nAnswer: -2, 5575347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 plus -0.1971146?\nAnswer: 75.8028854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 4*m**3 + 2*m**3)*(0*m + m - 5*m) - m**3 + 36*m**4 + 24 - 24.\nAnswer: 52*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*i - 52. Suppose -5*b + 17 = z - 59, -b + 4*z = -11. What is the remainder when b is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from bzhjjbbhbjtzhzb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*z + 2*j**3 + 349553*j**2*z + 3*j**2 - 35297*j*z - 1755*j wrt j?\nAnswer: -6*j*z + 12*j + 699106*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/(m*m**(-4))*m))*m)\/m*(((m*((m*m**(-1\/2))\/m)\/m)\/m)\/m)\/m*(m**(-1))**(-1\/7))**(-2\/15) assuming m is positive.\nAnswer: m**(-37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (27 + 0 - 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 1, m: 1, k: 1, u: 5}. Give prob of sequence uyzm.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2078 - -0.0078. Which is the smallest value? (a) 0.4 (b) 4 (c) y (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 41*u**4 + 8*u**3 + 54*u**2 - 4*u + 4. Let x(m) = -m**4 - 2*m**3 + m - 1. Let r(i) = p(i) + 4*x(i). What is the third derivative of r(b) wrt b?\nAnswer: 888*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-687)\/(-36) - 272\/(-48) and (5\/((-430)\/36))\/(-2).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30769835 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*l - 68*l = 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(104) - sqrt(104)) + (sqrt(104) - (sqrt(104) + (sqrt(104)*-3*-6 - sqrt(104)))))\/(3*sqrt(512)*-1*-2).\nAnswer: -5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by -34.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 + (-18)\/(-30). Suppose w = -13*j + 6*j. Solve 5*r + j*c = 4*c + 10, -3*r - 26 = 4*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**3 + 18*s**2 + 37*s - 3. What is the remainder when p(-7) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. What is the units digit of 10 - 0\/(6\/g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 10*c**2 + 13*c + 27. Calculate b(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*z = 2, -1037*z = 4*c - 1040*z - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 344*w + 0*w**3 + 52*w + w**3 - 97*w as h*w**2 + a*w + j + s*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/(((u\/((u*u*u\/(u*u\/(u\/(u**(2\/13)\/u))))\/u))\/u)\/u))\/((u*u**1)\/u)**(3\/28))**(2\/41) assuming u is positive.\nAnswer: u**(2089\/7462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z - 1. Let k(t) = 6*t - 1. Let p(o) = 6*k(o) - 5*r(o). Let x(s) = -s + 1. What is 3*p(m) + 2*x(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 + 27*s + 127. Determine m(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 392286 or 392285?\nAnswer: 392285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*y**5 + 10427794*y**4 - 10353276*y**3 - 10501748*y**2 + 10353558*y + 73954 = 0. What is y?\nAnswer: -1, -1\/141, 1, 36977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 3:57 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17840 is divided by 306?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32030 (base 7) to base 16\nAnswer: 1ee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6970 divided by 41\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.426 + 0.155.\nAnswer: 0.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.69817 + -2463055373\nAnswer: -2463055374.69817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 10 - 4) + 1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 7. Let v(c) = 10*c - 63. Let a(o) = 36*h(o) + 4*v(o). Let t(f) be the second derivative of -17*f**3\/6 - 2*f. What is a(t(k))?\nAnswer: -68*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 - -119. Let f(o) = 7*o + 32. Let x(u) = -2*u - 8. Let d(g) = 6*f(g) + 26*x(g). Let l(b) = -2*b - 3. Calculate h*d(s) + 16*l(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 14. Let w = 18 + b. Let q = 27 + -9. What is the greatest common factor of w and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-11 + -10 - -17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2 (c) 655\/157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4572a5 (base 11) to base 13.\nAnswer: 1c5c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-2470))\/(((-21)\/7)\/(-57)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c - 5*c + 625*c**2 + 17 + 2*c - 222*c**2 wrt c.\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*o - 21348 = 0. Suppose -z + 1784 = z - 3*c, 4*z - o = c. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381566 + -1191.86?\nAnswer: 380374.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*u**3*z**3 + 22*u**3*z - 3*u**3 + 181*u**2*z**4 wrt z?\nAnswer: 54*u**3*z + 2172*u**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from ihahachithhi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w + w)*(5 - 5 + w) - 2*w**2 + w**2 - 4*w**2 + 2*w**2 + 2*w - 2*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p - 7. Let u(m) = m**2 + 8*m - 1. Let f be u(-6). Let z = f + 9. Let w(j) = 3*j + 3. Calculate z*g(r) - 10*w(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -3, -26, -69, -138, -239, -378?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 515172700 to the power of 1\/2, to the nearest integer?\nAnswer: 22697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2559 is divided by 1186?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12184 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1142818*c**4 - 1019812*c**2 wrt c?\nAnswer: 27427632*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/((-86515)\/1155)*11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-39) - (-1 + (-22)\/26). Factor 47*k + 2 + 4*k**3 - 51*k + 2*k**2 - 6*k**2 + c.\nAnswer: 4*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/8 - -9)*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603050?\nAnswer: 2, 5, 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 - (17 + -16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/11 - 17084*i**3\/11 - 51240*i**2\/11 - 51236*i\/11 - 17078\/11.\nAnswer: -2*(i + 1)**3*(i + 8539)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 7, -0.5, 5\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 0.92. Let t = j + 8.02. Let c = 9 - t. Which is smaller: -7 or c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 320542 - 320542 - r. Let u(f) be the first derivative of -100*f**3 + 1. Calculate o(u(s)).\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18 + 264\/16)\/(-2*6\/(-1376)). Sort r, 1, 0, 3, -3 in increasing order.\nAnswer: r, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - h + 289. Let w be y(16). Let o(d) = 21*d - 8. Let r(x) = 62*x - 23. Determine w*o(l) - 6*r(l).\nAnswer: -15*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1204429 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395283 a multiple of 885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2256564 - -35?\nAnswer: 2256621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43070 divided by 8614.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1152*h - 8. What is the tens digit of t(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 + 8 = 0. Solve -12 = r - w*r, -3*v + r = 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 480 = -0*c. Suppose 7*k = 3*k + c. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30444.043 + -30477. Let g = -33 - t. Let s = -0.057 + g. Put 4, -3, s in ascending order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-300)*-8*225\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 46*y - 15 = v, 0 = 4*v - 5*y - 40. Solve -2*a - 3*w - 2 = 0, -1 = 2*a + v*w + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*f - 3*f, -f - 20 = 3*k. Let p be (36\/(-160))\/(135\/(-450)). Sort p, 18, f in increasing order.\nAnswer: f, p, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6, -5*g = -3*u + 4*u - 138. Calculate the remainder when 105 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + o**2 - 2*o + (-o + 2*o + o)*(3*o - 4*o - o) - 2 + 4*o**2 + 2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -2*x**6\/105 + 24*x**5\/5 + 170*x**4\/7 + 1024*x**3\/21 + 342*x**2\/7 - 246*x + 1. Let z(k) = 0. What is k?\nAnswer: -1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023437463.\nAnswer: 3, 23, 29, 511463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 886.\nAnswer: 886.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -2 (c) -0.5 (d) -0.132 (e) 5 (f) -3 (g) -8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3 = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651.7516 months in millennia?\nAnswer: 0.2209793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 - 191 = 59*p + 66*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1711764\/127 or 13478?\nAnswer: 1711764\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 91. Let i(c) be the second derivative of -c**3\/6 + 54*c. Give i(r(j)).\nAnswer: j + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -0.91. Let i = m - -2.11. Let u = -4.3 - -4. Sort u, i, -5.\nAnswer: -5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)\/2*(-36)\/(-396)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 50543454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (16 + -62 + -74 - (-8 + 0))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322477 is divided by 80531.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 - 99272*p\/9 + 1231866248\/9 = 0. What is p?\nAnswer: 24818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -245, -5, -402 in decreasing order.\nAnswer: -5, -245, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6191 = 111. Suppose -2030 = -5*g - 4*w, 17*g - 14*g + 2*w - k = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-125) + (-14)\/30)*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57587744 or -57587741?\nAnswer: -57587744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 13129 = -4*x + 104678, 4*x - 5*f = 91499. Suppose 10*a - 112231 = -x. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:34 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -457106, 5 in decreasing order.\nAnswer: 5, -2, -457106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121924 rounded to four decimal places?\nAnswer: 0.1219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2966 + 2973. Calculate the remainder when 518 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*y = -6, d + 2*y - 6*y = 12. Let f = 4618\/33 - 140. Is f less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 2056*t - 2060.\nAnswer: 4*(t - 515)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c + 5. Suppose -6 = m + 2*m. Let s be 9*-2*107\/(-642). Let g(q) = 4*q + 4. Determine m*k(i) + s*g(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5 + 4 = 3*k - 22, 3*f - 35261*k = -35256*k - 53 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -0.1. Let a = l + -2.5. Let p = -0.2 + 0.4. Sort -5, p, a in descending order.\nAnswer: p, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1798*u**4 - 4586*u**2 - u + 31643733.\nAnswer: -21576*u**2 - 9172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -1 - 7, -4*o + 2*u - 4 = 0. Suppose p = 2*p - 14. Let d = p - o. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + n + 4 = 2*n, -6 = 3*h + 3*n. Suppose -h*d + 15 = -90. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a - b55?\nAnswer: -bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 1 - 9, 0 = -2*p - 4*m - 8. Suppose p = -22*u + 1190 - 24. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153) + sqrt(153)*3 + sqrt(153)) + 1 - ((sqrt(153) - (2*sqrt(153) + -1)) + sqrt(153) + -1 + sqrt(153)*-1))**2.\nAnswer: 126*sqrt(17) + 67474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -36, 1\/3, -7.92, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4955*v - 4965*v - 4962*v + 14874*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 294 in -0.2, -242, -5, 1, -0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*q - 149, 0 = -6*g + 3*g - 5*q + 515. Suppose -g - 17 = -13*k. Calculate the lowest common multiple of 98 and k.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, 5 in decreasing order.\nAnswer: 5, 4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235 and 318754.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12306 by -1.\nAnswer: 12306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by -93.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -115*k - 462. Calculate g(-3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81064088848 + 1.\nAnswer: -81064088847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*w + 70*w + 67*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4 and 127\/1602.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 7, w: 2}. What is prob of picking 2 c and 1 w?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11155.6 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -98*n + 0 + 7\/6*n**3 - 1\/2*n**2. Determine t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -4 (c) 4 (d) -33\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 7 = 0. Suppose -6*k + p*k = -2. Let v(d) = 2*d + 3. Determine v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 381?\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 8*l**2 + 16*l**2 + l)*(5 - 5 - l)*(-4*l + 5*l - 2*l).\nAnswer: 8*l**4 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011101110111011101 + -1100?\nAnswer: 100011101110111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -3*n. Suppose -36 = -6*s - 3*s. Solve s*j + 5 = n*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0258 rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**9\/3780 + k**7\/315 + 3*k**4\/4 - k. Let d(b) be the third derivative of o(b). What is the third derivative of d(p) wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -112?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -6. Suppose 0 = -2*l + 32*d - 31*d - 2064, 3*d - 12 = 0. Let a = -1036 - l. Sort c, a, 1, -5 in increasing order.\nAnswer: a, -5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - (0 + 1 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 5*d**4 - 3*d**4 + (2*d**2 + d**2 - 5*d**2)*(-4*d**2 + d**2 + 2*d**2) + (-1 - 1 + 0)*(-d**4 + 3*d**4 - 4*d**4) + 8227*d - 861*d**4 - 8227*d.\nAnswer: -853*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4800) + 2 - (-3 + sqrt(240)\/sqrt(5)).\nAnswer: 5 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, s: 1, q: 3, u: 3, y: 6}. What is prob of picking 1 y and 1 u?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7392436 divided by 4\nAnswer: 1848109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0071 and 6759545?\nAnswer: 6759544.9929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:11 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 + -0.8. Which is bigger: -13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 7:28 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:33 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = 7 + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -10*o + 9*o + 18, -3*o = -4*r - 22. Let s be -7 + o + (-39)\/(-9). What is the third smallest value in 1\/12, 2\/5, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5666192 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -235739599 - -0.034\nAnswer: -235739598.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2763 and 10?\nAnswer: 27630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4795181\/565 - -8487. What is the common denominator of u and 91\/5085?\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j = -89640 + 86893 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -275, -268, -261, -254, -247?\n\"Answer: 7*x - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60436797*a**5 - 1707804*a**2 - 4*a?\nAnswer: -3626207820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(c - 2*c + 3*c)*(c - 5 + 5)*(-9 + 2 - 1) to v + j*c + l*c**2 and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -304 greater than -179505\/589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9))**(2\/43)\/(b**(-2\/5)\/b**5) assuming b is positive.\nAnswer: b**(10429\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -79. Let k = g - -72.4. Is 1\/2 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10428*w**2 + 790. Let p(c) = 79*c**2 + 6. Let l(b) = 3*g(b) - 395*p(b). Let z(s) = -2*s. Calculate z(l(j)).\nAnswer: -158*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1485 and 54780?\nAnswer: 493020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + (-62)\/(-10))\/(56\/370). Let i = j + -995\/126. Suppose 0 = z - 4*z. Is i not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 8\/(8\/2). Let g(w) = w**3 - 6*w. Let y(z) = z**3 - 5*z. Determine v*y(k) + 5*g(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -144942 + -4?\nAnswer: -144946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 139, 3, 309, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-13)\/(468\/(-63)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 381949 + -381967.00027. Let q = 18.02 + b. Round q to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011010100010100011 (base 2) to base 15.\nAnswer: -1d0887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 27. What is the tens digit of y(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 7, b: 1}. What is prob of picking 1 p and 3 x?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 4 = -31*r. Let j(w) = -10*w**2 + 4*w + 3. Let f be j(r). Let p = -40 - f. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5*g - 3. Let q(j) = 2*j**2 + 8*j + 5. Let b = -107 - -112. What is b*q(d) + 8*c(d)?\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6651.\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(28\/(-32)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1462?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9250644.1999914 + -9250645. Let f = 1 - 0.2. Let s = w + f. Round s to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 13. Let i(u) = u + 12. Let h(d) = -7*b(d) - 6*i(d). Let w be h(-9). Suppose 0*k = w*k - 400. What is the smallest common multiple of k and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + -5 + 6 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = 3*o. Let u = -1 + o. Suppose -4*x = -3*k + k - 64, u = 5*x - 2*k - 79. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + 16. Let p = 1292 + -1290. Let c be (p + -1)*(30 + -22). Solve -l*v + 2*v = c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12323789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085\/(-217) - ((-258)\/27)\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -202010221 (base 3) to base 4\nAnswer: -3211132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 20 = 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27271967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11534 divided by 1.\nAnswer: -11534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 31. Suppose 3*d = -p + o, 3*p + 2*d + d - 24 = 0. Suppose 4*h + 5*s - 19 = 0, 5*s = -3*h - 0*s + 18. Solve 4*m - p = h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 369*i**4 - 107*i**2 - 104*i**2 + 211*i**2 + (-i**3 + i**2 - i**2)*(-3*i + 3*i - 2*i) - 2*i**4 + 4*i**4 + 0*i**4.\nAnswer: 373*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 4, -14, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (17 + -35)) + -36?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/3)\/((-3414)\/(-7397)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1738 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 31 = -x - 16*v, 4*x - 154*v = -161*v - 43 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*q**2 - 21 + 65*q**2 + 21 - 9*q - 4*q**3.\nAnswer: -4*q**3 - 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)*s\/s**(-2\/11))**(16\/5) assuming s is positive.\nAnswer: s**(2224\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*s = -370, 2*s = 11*j - 7*j - 728. What are the prime factors of j?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 3*k + 37, 82*r = -12*k + 6*k + 85*r - 20 - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15*v**3 - v**2 + 33*v - 291. Is s(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10 + a**3 - 2*a**3 + 4*a + 4*a**2 + 1. Let r be q(5). Does 17 divide 32 + (-7)\/((-21)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 1737448.\nAnswer: 1737448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10)**(-47) assuming t is positive.\nAnswer: t**(-470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*l**2 + 82*l**2 - 473 + 3*l + 5488 + 1402.\nAnswer: l**2 + 3*l + 6417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z - 2 - 3 - 9*z. Let h be m(12). Suppose 3*n - h = 41. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816263887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 + -216. Let r be p*((-1)\/3)\/((-4)\/18). What is the highest common divisor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let h(p) = 12*p - 203. Determine g(h(k)).\nAnswer: -24*k + 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Let r(d) = -28*d**3 - 4. Let i be r(x). Round i to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -9 + (-4 - -10) - (-7 + -44)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 - 6*k. Suppose 0*l = -4*l - m + 12, 3*l + m = 10. Let j(h) = 4*h - 3*h**3 - 9*h + 7*h**3 - l*h. Calculate 7*c(d) - 6*j(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -255 - -255. Let h(t) = -t**2 - 10*t + 392. Let x be h(b). What is the highest common factor of 49 and x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15998 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 3 + 117*w**4 - 8 - 119*w**4 in the form s*w**2 + p + t*w + u*w**3 + m*w**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 5*r - 2. Let d be p(-2). Let q = 15 + -12. Suppose 23 = d*x + q. Calculate the remainder when 9 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 8*b + 27. What is w(6)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 13 - 0) + -27 + -6 - (1 + 95)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34401996073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 11:27 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37650 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - -1) + 2)*40\/360\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 + -2012543?\nAnswer: -2012502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h + 3. Let z be v(-3). Suppose -117 = 4*q - b, 36 = -q + 2*b - 4*b. Let p = z - q. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 + 5*j + 2. Let p be q(6). Suppose h + 12 = 3*o, -6 = -4*h - 5*o + 31. Let n(g) = g - 5. Let c be n(h). Put 1, p, c in descending order.\nAnswer: 1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5762 - 3909. Let q = -988 + y. What are the prime factors of q?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -744 + b?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*j - 53*j + 22 = 0. Let h(v) = v + 9. Let x(y) be the second derivative of y**3\/6 + 2*y**2 + 5*y. Calculate j*h(o) + 5*x(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 127*s**3 - 3*s**2 - 3*s - 247836?\nAnswer: 381*s**2 - 6*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -82*k**2 + 140*k - 42. Let j(r) = -16*r**2 + 28*r - 8. What is 16*j(o) - 3*w(o)?\nAnswer: -10*o**2 + 28*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91678 divided by 1.\nAnswer: 91678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 8*z. Let i be 7\/(-3)*(-3)\/(-1). List the prime factors of u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227275 is divided by 45383.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3039 + 3033. Which is the biggest value? (a) 3.1 (b) v (c) 1\/6 (d) -1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1237608, 1237610, 1237612, 1237614, 1237616, 1237618?\n\"Answer: 2*h + 1237606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(26\/(3900\/175)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -13. Calculate the remainder when 23 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t**2 - 1. Give z(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-32)\/108.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -17, -31 in decreasing order.\nAnswer: -3, -17, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(1779*z**2 + 4*z - 891*z**2 - 893*z**2).\nAnswer: 15*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 3\/2. Let y be (d + 0)\/(-9*1). Let f = 0.235 - -0.065. Which is the nearest to -2\/7? (a) y (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -5541.\nAnswer: -5\/5541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35422392 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28281.9 milliseconds in microseconds?\nAnswer: 28281900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 3. Let h be f(3). Let s = h - 6. What is the remainder when (34\/s)\/((-3)\/(-18)) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 2. Let s = 3 - 6. Let h be 5 + s\/((-6)\/4). What is the units digit of i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 - (-15 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -80870000 rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 74266*m + 3. Give s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 33*m**2. Give k(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q + 10 = 0. Let c = -4 + q. Calculate the highest common divisor of 7 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:30 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(1872) + -2))**2 + 3.\nAnswer: -1080*sqrt(13) + 17076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 49. Suppose -5*k + 77 = 4*w - 3, -k + x*w + 45 = 0. Solve 2*t = 6*t + k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**2\/2 + 185. Let z(a) = -a**2 - 3*a. What is m(z(k))?\nAnswer: k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*10\/6 - 88\/77*7. Let 5\/2 - 1\/2*k - 2*k**s = 0. Calculate k.\nAnswer: -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.69 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v + 2. Let n be i(9). Let m = n - 43. Let k be (3 + 1032)*m\/6. Round k to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*1488\/(-5022).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 61031*r**2. Let a(w) = -2*w**2. Determine t(a(z)).\nAnswer: 244124*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 - 209*f**2 + 51*f - 1325. Give j(-70).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - 6*x + 3*c + 9, 3*c = -2*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -16. Suppose k*w = 16*w + 16. Determine h so that -1 - 28*h**2 - 44*h - 4 - w*h**3 - 17 + 2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*h**3 - 7*h**3 + h**3 + (h - 1 + 1)*(0 + 0 - 2*h**2).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 1892, 4259, 7580, 11861, 17108?\nAnswer: 23327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*z - 75, 0 = 8*c - 3*c + z + 470. Let w = c + 167\/2. Calculate the common denominator of w and -44\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(425)*-1)**2)*3.\nAnswer: 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-5) - 102\/(-30) and (-6)\/8*284\/(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 13 = -5*g, 0 = -203676*p + 203680*p + 11*g + 39 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130851788983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -324, -1176, -2858, -5652?\n\"Answer: -47*l**3 + 8*l**2 + l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*((-312)\/(-15))\/(-13).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23504*a - 23504*a + 3*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:53 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*v = 35, -y - 3*y = -3*v - 25. Suppose y*d = 3*g + 3*d - 62, 2*g = 3*d + 32. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + l + 2*l)*(-1 + 3 + 0)*(-36384*l - 16047 + 111333*l + 8029 + 8018) as v + r*l**2 + f*l and give r.\nAnswer: 299796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.0299 + -4.0299. Let p be 22\/(-4) + (-1)\/(-2). Let m = -4 - -2. What is the closest to 0 in m, x, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**3 - 4316*g**2 + 4320*g = 0. What is g?\nAnswer: -1080, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 32, -2179, -5, -1 in decreasing order.\nAnswer: 32, -1, -5, -27, -2179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 60. Let s be n(21). Suppose s*b - 170 = -7*b. Is b less than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d**2 + 2*d)*(0*d**3 + d**3 - 2*d**3) - 5417*d**3 + 5417*d**3 + 79*d**5.\nAnswer: 81*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-40)*-6*(-3)\/(-27).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i**3 + 2*i**2 - 6*i + 104. Let g = -2 + 7. Let c(b) = 2*b + g*b - 5 + 5*b**2 - 4*b. Determine 4*c(s) - 3*h(s).\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**2 + 7*r - 8. Let i(a) = a**2 - 2*a + 9. Give -8*i(j) - 9*s(j).\nAnswer: -62*j**2 - 47*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chcc when four letters picked without replacement from hchchccc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 - -198. Suppose d = -4*j + p, 2*d + 0 = 5*j - 25. Solve y + 3 = d, n - 18 = 4*n + 2*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0)*(2 - (6 + -3)). Let v be 4\/(-16) + 324\/16. Solve j = 2*u + 2*u - v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 73053\/9 + 5 + 28\/7*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550320939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 - o + 35. Let a be u(0). Solve 56*f = a*f - 105 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29967 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w**4 - 74*w**4 + 2*w**4)*(-3*w - w + 3*w) + (-w**4 - w**4 + 0*w**4)*(-1 - w + 1).\nAnswer: 41*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -7*p + 4*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -208*x + 210*x - 6. Let t(y) = y**2 + 4 - 17 + 10 + x*y - 2. Give t(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/32)\/((-45)\/(-10)). What is the third smallest value in 1, u, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418 + 14*n**2 + 417 - 47*n - 2*n**2 + 24*n**2.\nAnswer: 36*n**2 - 47*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*m - 1287*m + 38948 = -66650 for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 11:04 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3 and -21 + (733779\/15939 - 25)?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 4*v**2 + 9*v - 1. Let p(y) be the first derivative of y**4\/4 + 2*y**3\/3 + 2*y**2 - y + 118. Give -5*p(q) + 3*t(q).\nAnswer: q**3 + 2*q**2 + 7*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*k = -8 + 2, -4*k + 18 = 3*p. Let t be 3\/15*p*20. Suppose 0*u = -3*m - u + 15, -5*m + t = 2*u. What is the remainder when m is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134 - -140) + 2 + -1 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 9*q**2 + 29 - 13 + 4*q + q**2 to the form c*q + a + b*q**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288)*1 - sqrt(288)) + 4 + (-5 + sqrt(2) + sqrt(6)\/sqrt(3))*-3)**2.\nAnswer: 228*sqrt(2) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -717 < 3.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*y**2 + 2*y - 2*y + (-3*y + 4 - 4)*(-4*y + 2*y + 4*y) as k*y + l + h*y**2 and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 588 (c) -7 (d) 0.4 (e) -4327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 1 - (5 + 17 + -10 + -8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21893 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -a81e (base 15) to base 8\nAnswer: -105373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*m + 665 - 2320 = 2854 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33821041 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + 7*b)*(1 - 3 + 0) + b + 0*b + b + (-2*b + 0 + 0)*(0 + 1 - 3) - b + 0*b + 2*b + 0 + 0 + b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 + -7 + (8 - 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -21 - 5) + (7 + -2 - -13) - 35?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q - 8. Let k(u) = u**2 - 4*u - 7. Let t(l) = -6*k(l) + 5*v(l). What are the prime factors of t(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 558*t + 1627. Calculate u(-1).\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 25 - -6 - 38?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18257 is divided by 154.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11934, 236, -2 in increasing order.\nAnswer: -11934, -2, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*u**3 + 30*u*z - 50400*u - 91909*z - 30 wrt u.\nAnswer: -48*u**2 + 30*z - 50400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 2*g + 20. Let j(c) = c**2 - c + 5. Let b(t) = -9*j(t) + 2*y(t). What is b(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -69, -310 in ascending order.\nAnswer: -310, -69, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t - 12. Let j be u(-3). Find the common denominator of j*1 - ((-147)\/112 + -1) and 31\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**2 + 3*o - 7. Let w(b) = -5*b**2 + 2*b - 4. Let i(q) = -4*l(q) + 7*w(q). Factor i(n).\nAnswer: n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -9, 4, 23, 48, 79?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266.488 + 0.488. Let o = -60866920.99763 - -60867187. Let h = o + a. Round h to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*o + 451*o - 3003 - 2711 = 761 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 8. Let i(a) = -a**2 - 4*a. Let o(b) = 2*b**2 + 9*b. Let w(p) = u*i(p) - 4*o(p). Let m be w(-7). Solve m = -n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.34 - 0.24. Let r = c + -0.09978. Round r to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/4 + 2*o**3\/3 + 62*o**2. Let u(w) = -40*w - 30. Let a(r) = 15*l(r) + 2*u(r). Let q(i) = -2*i. What is a(q(c))?\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 20*k**2 + 11*k - 28. Calculate the least common multiple of 25 and l(-9).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5902 and 1227.\nAnswer: 7241754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + -10 - 0 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4599863\/63 + -73012. Let y = f - 2\/63. Which is the closest to 0.1? (a) -0.2 (b) y (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 0*t + 0*t)*(3*t + 0*t - t) - t**3 - 3*t**3 + 2*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 8*b**2 - 10*b - 9. Let z be q(-9). Suppose 3*g + 6 = z, 0*y + 67 = 5*y + 4*g. Calculate the least common multiple of 10 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/93906 and -19\/20868?\nAnswer: 187812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 - -0.07. Let a = m - -0.12. Sort 0.1, -3, a in increasing order.\nAnswer: -3, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 156\/(-1) - (-19 + 19). Let b be l\/(-32) - (-1)\/8. Suppose 2*c = -2*f + 4 + 22, 3*f - 63 = b*c. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-1))\/j*j)\/j**(-2\/7))\/(j\/(j*(j*j**2)\/j)*j**(-3\/7)))\/((j**(-2\/7))**40\/((j**(2\/3)*j)\/(j\/((((j**(1\/3)\/j)\/j)\/j)\/j)))) assuming j is positive.\nAnswer: j**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110.931 * 0.07.\nAnswer: 7.76517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**3 + 42*b**2 + 14. Let d be f(7). Solve 3*u - 3 = 2*n + 7, d = -4*n + 3*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10905 by -15.\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -104. Suppose k*w = -7*w + 7488. Calculate the greatest common factor of w and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157568?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wynqwnynynoywn. Give prob of sequence wyw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 980926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25801 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -29. Suppose 0*u - u = -r. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 less than 1356.813?\nAnswer: 994.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 3\/(-9))*9. Let o be 1*1\/3*u. Suppose o = 5*f - 50. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -2633.\nAnswer: -2629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = c - 42, n - 4*c = -4*n + 237. What is the common denominator of 67\/6 and ((-12)\/(-16))\/(n\/(-272))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 313 + -169. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -18, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**5 - 6 - 1\/2*m**2 + 0*m**3 + 0*m**4 + 0*m. What is the second derivative of b(t) wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:20 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 169808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3817946, -3817948, -3817950, -3817952, -3817954?\n\"Answer: -2*t - 3817944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -67 in increasing order.\nAnswer: -67, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 839914429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 43064859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 476 - 234 - 232 to the form h*o + p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**3 + 586*k**2 - 142*k - 1238. Determine b(53).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2)*2\/(-10). Let q = -23.91 - -22.91. What is the third biggest value in -5, c, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180)*2)\/(sqrt(48)\/(2*sqrt(768))) + 2.\nAnswer: -288*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29 + -3.31. Let v = i - -2.96. Let n = v + 0.34. Which is the smallest value? (a) 1 (b) -5\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o + 864 = 9*o - 17*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a + 168*a = 672*a + 428*a + 55818 for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -5, 0.04, -2.\nAnswer: -71, -5, -2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - -0.009964. Round z to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:49 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 350397, 700797, 1051197, 1401597, 1751997?\n\"Answer: 350400*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -0.75 (b) 1 (c) 3513 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 286273 and 2717?\nAnswer: 3149003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58725 by 725.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88.4779 tonnes?\nAnswer: 88477900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1093, 5085, 14887, 33403, 63537?\n\"Answer: 484*y**3 + y**2 + 601*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15947*i + 6*i**2 - 7969*i - 7977*i.\nAnswer: 6*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -50*m**2 + 28*m - 863. Let j(r) = -11*r + 3. What is 56*j(l) - 6*s(l)?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (3 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 5*y**2 - 9*y + 12. Let j be v(6). Let w(g) = -g**2 - 7*g - 2. What is w(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168 - -263. What are the prime factors of a\/(-2)*6\/(-5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-1) + ((-899)\/58)\/(-8*(-21)\/(-126))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12304 times 2.703\nAnswer: 33257.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 23, 1\/3453, 100 in decreasing order.\nAnswer: 100, 23, 0.3, 1\/3453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z**3 + z**2 + 31*z + 25. What is the thousands digit of w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879 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: What is next in 4982, 20300, 45824, 81572, 127562, 183812, 250340, 327164?\nAnswer: 414302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 21. Suppose -h = -42 - u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let j(k) = 2*k. Let a(q) = -2*j(q) + r(q). Let x(n) = -27*n - 30. Let u(i) = -4*i - 4. Let b(g) = 15*u(g) - 2*x(g). Calculate b(a(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25362 - 279742 = 2765*x for x.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, 176, 0, 1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -103*d + 2190. What is v(19)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*n**2 + 7*n + 12*n**2 - 68*n**2 to a*n**2 + t + l*n and give a.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2356\/7*w**2 + 8664\/7*w + 0 - 4\/7*w**4 + 176\/7*w**3 = 0. What is w?\nAnswer: 0, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*w + 20 = 0, -2*o - 3*w = 0. What is the tens digit of o\/(-2) + (484 - 23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 574141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 380 + 2085. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/713)\/(-7)*(2 + 0)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/88*-118*22\/11?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h**(-4))**(3\/22))**(-3\/14) assuming h is positive.\nAnswer: h**(-18\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -725*v - 9250. Let h be g(-23). Calculate the greatest common factor of 297 and h.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:28 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -443 divided by 2757?\nAnswer: -443\/2757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 + 123*w**2 + 100*w + 289. Give f(-30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 19*b - 18*b - 1 + (-3 + 3 + b)*(-4 + 6 - 4).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h + 4. Let b(z) = -6*z + 1. Let u(i) = 12*i - 1. Let n(o) = 5*b(o) + 2*u(o). Let g = 11 + -8. Let v(a) = g*s(a) - 4*n(a). Give v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3530*x**3 - 3525*x**3 + 4*x + 2*x)*(2 + 3 - 2) to l*x**2 + u*x + i*x**3 + g and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33009247 + 71109595. Suppose -y + 126100308 = 4*l. Suppose -5*g - l = 5*z, -3*z = -g + 1461682 - 5861688. What is g rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Suppose w*q + q = 64. What is the remainder when 47 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6 = -j, 0*j - 3*j + q = 15. Let x be (-10)\/(-4) - (-3)\/j. Let n(t) = 0*t**2 + 2*t**x + t**2. Let z(a) = -2*a**2. Give n(z(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = -3*d - 29, -3*d = p - 12. What is the least common multiple of 82 and p?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.06, -7, -0.4 in decreasing order.\nAnswer: 15, -0.06, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**5 + 80*v**4 - 345*v**3 + 450*v**2.\nAnswer: -5*v**2*(v - 10)*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a decade in years?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -978568090*y**2 - 215584603*y.\nAnswer: -1957136180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2605853 bigger than -2606021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/2 + 6994*u**4 - 24478961*u**3 + 146265724*u**2 + 2491962923*u\/2 + 1075229782 = 0. Calculate u.\nAnswer: -4, -1, 11, 6991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 16 = -16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/9 and 3\/6*((-465)\/(-9) - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -984?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109\/(-3) - (-5)\/((-1020)\/(-24))*51\/(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32025 by 35.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**2 + 1957622*v - 559320.\nAnswer: -(v - 279660)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 170.\nAnswer: -1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2711 is divided by 78.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 306, -1774, 1\/8, 7 in descending order.\nAnswer: 306, 7, 1\/8, -8, -1774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 30*b**2 - 31*b - 19. Let m be x(16). What is the smallest value in -1, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(171) + -2 - sqrt(38)\/sqrt(50))*-1.\nAnswer: -14*sqrt(19)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v - 268 + 397 = 0. Solve 4*x - 2*w = 6*x - 18, 2*x + v*w = 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9588*q - 9126 = -9606*q. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1120 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/(1\/6*(-40)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 6*w + 4*w)*(14 - 4 + 7).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -4, -27.\nAnswer: -27, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 34*p + 15. Let a(o) = -41*o - 14. Determine 6*a(t) + 7*q(t).\nAnswer: -8*t + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/16 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 27 = -k, -24 = -2*a + k - 5*k. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:02 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + -45 - -4 - 0. Let x = h + 46. Suppose c - x = -0. Is 4\/17 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.9996 + -25. What is p rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -175, -711, -1605, -2857, -4467?\n\"Answer: -179*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttstsitotttstoitost. What is prob of picking 3 o and 1 s?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = 3*h, -2*h = -3*f + 2*h + 6. Let b be (-1 + 0\/2)*-3. Solve 3*x = -3*u, -6*x - b = f*u - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -4 - (6 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 16*x + 10. Let k be h(-16). Suppose -k*y + 13*y = 12849. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7082000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**15*s*s\/(s**(-6)\/s)*s)**(-6))**(6\/11) assuming s is positive.\nAnswer: s**(-936\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c + 12. Let z be (-13 - -9) + 1 + 9. Let d be g(z). Solve q + d = -y, 5*y + 18 = q - 3*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/7, 4, 5, 0.07?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -762574*m**3 - 339604*m wrt m.\nAnswer: -4575444*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(198)\/sqrt(11)*-5*-3.\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 6*d**2 + 0*d - 15\/4*d**4 + 3 + 4*d**3 - 9\/5*d**5. Factor g(i).\nAnswer: -3*i*(i - 1)*(i + 2)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/8)\/(-7)*0. Let p(d) = d**3 - d**2 + d + 41. Let n be p(v). Suppose -a - 2*r + n = 0, -2*r = -3*a + r + 78. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -0.1, -21, 0.3.\nAnswer: -21, -0.9, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033082867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5522 is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9385 to two decimal places.\nAnswer: -1.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6245427481.\nAnswer: 431, 14490551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 12*k**2 + 15*k + 28. Let f be 2*-2*-2*13\/(-8). Let u be l(f). Suppose z = u*b - 426, 0*z + z + 856 = 4*b. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 3, w: 13, n: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99593.1cm in micrometers?\nAnswer: 995931000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -29*j - 19. Let u be s(7). Let t be u\/(-78) + (-2)\/(-13). Is t + 2 - 3 - -111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 22*h**3 + 2*h - 6*h**3 + 30*h**3 + 2*h**2 + 2045 to v*h**3 + f + g*h + j*h**2 and give f.\nAnswer: 2045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 6 - -3) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12 (b) -14 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10*s**2 + 10)*(-4*s**3 - 14 + 8201*s - 8021*s + 14).\nAnswer: -40*s**5 + 1800*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*g - 91*g + 1413. Let d = -411 - g. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126130.4 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from zmzbbzzbzbm.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let j(f) = 4*f - 5. Let y(u) = 5*u - 6. Suppose -h - 9 = -3. Let a(o) = h*j(o) + 5*y(o). Determine l(a(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w = -32*w. Solve 2*b - 6*b - 8 = w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) + 2)*2 + sqrt(112))**2.\nAnswer: 128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 608*z - 6058. Give c(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -3 - 7) + 8 - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-2*-5 - (sqrt(76) - 3*sqrt(76)*1))*-1)\/(sqrt(576)*2*3 - sqrt(576) - -6*-2*sqrt(576)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1225008 and 2172?\nAnswer: 1225008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 + 2*r + 5. Let p(o) = -2*o**2 - 1. Let z(i) = -k(i) + p(i). What is the second derivative of z(h) wrt h?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 15128752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 231045102 (base 7) to base 11\nAnswer: 7a80573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 2*x. Let n be s(2). Suppose -25*u + 288 = -17*u. Calculate the greatest common factor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*k = -55, -10*k - 12 = -17*g + 14*g + 49 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/30 + 81*i**4\/8 + 413*i**3\/2 + 281*i**2 + 4*i. Differentiate m(p) with respect to p.\nAnswer: 4*p + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/9192 and 137\/5418.\nAnswer: 8300376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**3 + 5*b**3 + 5*b**3 + (0*b**2 + b**2 - 3*b**2)*(2*b + b - 5*b) - 4*b**3 + 4*b**3 + b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -25*s. Let n(v) = v**2 - v - 1. Let z(i) = -5*i**2 + 6*i + 6. Let j(l) = -6*n(l) - z(l). Give q(j(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -11.\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 16 - 20)*(8*h - 9*h + 15*h)*(-2 + 2*h + 2) + 8*h - 30*h - 2*h**2 + 6*h in the form i*h**2 + w + c*h and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 25. Let d = m - -20. Solve 2*c = -d + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 3, c: 12, o: 1}. What is prob of picking 1 c and 1 j?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrrf when four letters picked without replacement from {r: 2, f: 1, s: 1, h: 2, w: 1, x: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 929609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5333427 and 163251?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5 + 24986*k**4 - 3419774*k**3 + 121023638*k**2 - 231887888*k + 114259040 = 0.\nAnswer: 1, 68, 12355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -12. Let a be (l - 15)*(-4)\/(-5). Let k = 9 - a. What is the remainder when k is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/12 in -9, 988, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24115 or 23182?\nAnswer: 23182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 - h + 1. Let i = 5340 - 5337. Let r(w) = 4*w**3 - 5*w**2 - 6*w + 2. Determine i*l(f) - r(f).\nAnswer: -f**3 + 2*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(435\/135) - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -934783\/5 - -185381. Which is smaller: c or -1577?\nAnswer: -1577","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54200\/24390*(-648)\/(-15)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-45))\/((-187)\/(-1122)). Put 0.01, t, 0.2, -66, -2\/9 in decreasing order.\nAnswer: 0.2, t, 0.01, -2\/9, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d - 143*d = 117*d + 104*d - 39762 for d.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 0.2 (d) -0.3571\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0 - 1\/4*m**4 + 0*m**5 - 3*m + 0*m**7 + 0*m**2 + 0*m**6 + 5\/56*m**8 + 0*m**3. What is the third derivative of k(n) wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5958551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + -295952?\nAnswer: -295967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 10*p**2 - 15)*(9*p + p - 3*p) + (-p - 16*p + 4*p + (3 + 1 - 6)*(p + 4 - 4))*(-2*p**2 + 4*p**2 + 0*p**2).\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**6\/10 - 3*v**5\/25 + 22. Determine q, given that c(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - 1. Let b be (-41)\/(-3) + (-4)\/u. Suppose g - 37 = b. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 + (0\/(-1) - 1*-3) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/3)\/(1\/3). Suppose 0 = -3*n + 2*n + 2*x + 12, n + i*x - 17 = 0. Let d = n - 10. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 414 = 2*a - 426, 4*a = 3*o - a + 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 1\/4, 0.3, 4.9 in descending order.\nAnswer: 4.9, 0.3, 1\/4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 48, 2\/7, -0.1 in descending order.\nAnswer: 48, 5, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c3b (base 13) in base 2?\nAnswer: 100000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 270 - 12660?\nAnswer: -12370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 2\/51 (c) 0.3 (d) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w + 42*w - 44505 = 0. What is the remainder when w is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 - 2*u + 1. Let w be s(1). Let k(p) = -p**3 - 7*p**2 - 7*p + 2. Let i be k(w). Let n = -19 - -29. Solve 3*g + 3 + i = 5*r, -2*g = r - n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1159910 and 27292?\nAnswer: 2319820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27\/15 + (-30261)\/15720\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-6)*(-6)\/20)\/((-492)\/615).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95645804 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:26 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -91748?\nAnswer: -91750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 6*r**6 + 115*r**2\/2 + 98. Find the second derivative of u(h) wrt h.\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247 and 9659.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -51*w**5 + 75*w**4 + 10*w**3 - 64*w**2 + 29*w + 1. Let d(k) = k**5 - k**2 + k - 1. Let i(t) = -a(t) - 6*d(t). Solve i(h) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*z**2 - 118*z**2 - 79*z**2 + 76*z**2 - 137*z**2 - 225*z**2.\nAnswer: -381*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 - (10 + (-4 - 4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 + s**5\/60 + 5*s**3\/6 - 3*s**2. Calculate c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 - -1.7. Let n be 3\/((-50)\/(-4) - 2). Which is the closest to 0? (a) g (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 3820?\nAnswer: 72580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -33734, 0, -0.4 in increasing order.\nAnswer: -33734, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10*177.89637\nAnswer: 1778.9637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*y**3 + 61485253 - 61485253.\nAnswer: -235*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, 0.06, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + 0.03. Let d = k - 0.04. Which is the closest to 0? (a) d (b) -1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 31*v**2 - 779*v + 20264. Let p(q) = -3*q**2 + 78*q - 2026. Let j(r) = 4*f(r) + 42*p(r). Find the first derivative of j(h) wrt h.\nAnswer: -4*h + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*d - 43*d + 134. Let t = 5 + d. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-22) + (35\/10 - 4). Which is the second smallest value? (a) 1.15 (b) p (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14867 minus 7005.786?\nAnswer: -21872.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 685189 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11434 (base 5) in base 12?\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(15\/7)\/l))\/(l*l*l\/l**(-1\/8)))\/(l*l*(l**(-11)*l)\/l)**(-1\/12))**12 assuming l is positive.\nAnswer: l**(-843\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3.9. Let z = m - -0.1. Let j = -3 - z. Which is the second biggest value? (a) 4 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - (-32)\/6. Suppose -1 = -q, 3*g + 3*q + 2 = d. Suppose -2*o - 4*k = 3 - 31, g = -2*o - 2*k + 18. Solve -1 = -5*a + t, 4*t = 8*t + o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/(-57) + 0 - (-361)\/(1186607\/(-210714)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(120\/(-50)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1142 + -5?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7429309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b - 6*b - 17*b + 12 - 2*b - b. Let g(r) = -12*r + 5. Determine 12*g(o) - 5*k(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 0, -0.02, 0.06?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 53 = 283. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3876 and 407436?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/35)*z\/z**(-2)*((z**1*z)\/z)**34 assuming z is positive.\nAnswer: z**(1297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 49 = q, -4*j = 2*q - 5*q + 72. Let g(a) = 4*a + 69. Let z be g(j). Let k(i) = 8*i**3 + 10*i**2 - 15*i + 14. Is k(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -975 + 1015. Put -4, w, -1 in decreasing order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = q + 82, 2*y = 4*q - 0*q + 40. Suppose -2*c + y = -4*z, -6*c + c + 3*z + 75 = 0. Suppose 0*u + c = 2*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -92, -203, -334, -485, -656?\n\"Answer: -10*s**2 - 81*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*a = -1 + 3, -a + 13 = 3*s. Let c(y) be the second derivative of y**3\/3 + y. Calculate the remainder when 19 is divided by c(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 551\/3, -2, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8526685127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78354 and 3429?\nAnswer: 9950958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-23)\/4 - (11 - 9) and (-9)\/21 + 369\/(-70).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172.7 - 172.4. Let x = -0.21 + 0.2. What is the closest to -1 in i, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33531 is divided by 11159?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455370234.\nAnswer: 2, 3, 11, 907, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 5*v**2 - 10*v - 10. Determine s(5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003274 to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 893 + -893. What is the third smallest value in 1\/5, -0.5, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - (-608)\/95)*10\/(-12). Let d = 0.6 - 0.2. Let l = -30 - -29. Which is the nearest to n? (a) 0.008 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11897, 2950, -6001, -14956, -23915?\n\"Answer: -2*w**2 - 8941*w + 20840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gapa when four letters picked without replacement from {g: 4, a: 2, p: 4}?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 857257 and 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1681 divided by -41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*f - 564*f - 558*f + 1678*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, 1, 0 in decreasing order.\nAnswer: 196, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/((-136)\/(-300640)) + 16 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447870*k - 895713*k + 447844*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 36 = -34 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2 - 1 - z + 3*z. Let p be k(4). Let n = -290 - -292. Solve p*h - 13 = n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**3 + 5*d**2 - 3*d - 1. What is n(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30914 and 2179970.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (682\/66)\/((-4)\/(-12)). Put -3, n, -1 in decreasing order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -2240961.53652418?\nAnswer: 2240962.03652418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-64)\/(-564)). Let j = 25\/4 - u. Sort 1\/2, j, 3 in ascending order.\nAnswer: j, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -597 by 1771.\nAnswer: -597\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 453968.\nAnswer: 453968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 49*d**2 + 593*d + 15. Give q(-30).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.365368 rounded to two dps?\nAnswer: 56.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 2 - (-2 - -13) - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwxp when four letters picked without replacement from {u: 1, l: 5, x: 1, w: 3, p: 1}?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18)\/1*(-204)\/(-68).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**2 + 0*k**2 + k**3 + 0*k + 0 + k - 1. Determine h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 1. Let d(n) = 5*n**2 - 11*n + 2. Give -3*b(g) - d(g).\nAnswer: -2*g**2 + 11*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011110 - -11110110?\nAnswer: -11000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4.6 (b) -0.088 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620998568.\nAnswer: 2, 89, 872189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -5, -11, -25 in decreasing order.\nAnswer: -1\/11, -5, -11, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*a + 226, -t - 241 = -4*a - 2*t. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*x**2 + 13*x + 140.\nAnswer: 32*x + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 139120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/10 in -3, -0.8, 2\/7, 0.103, -0.12, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-3)\/(-1)*(-7)\/(91\/52). Solve 28 = -14*y + i*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 3. Let q be 2\/4 - 36\/(-8). What are the prime factors of d(q)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5076 and 72?\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - 0) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 10*g + 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3*x, 0 = -53*n + 72*n + 4*x - 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 9. Let p be (-54)\/(-15)*20\/12. Let o be k(p). Let u(f) = f**3 - 15*f**2 + 8*f - 6. What is the units digit of u(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 7:29 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/19, -0.08, 1\/6, 1.5.\nAnswer: -0.08, -1\/19, 1\/6, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -356714*h - 1070137. Give a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 - 14*b**3 - 8*b**3 + 36*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3840*-12*-2\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36037329 is divided by 12012415.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-21)*-2)\/(161\/5635)*(-1)\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 499, 1951, 4371, 7759, 12115, 17439, 23731?\n\"Answer: 484*b**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3 - (-1 - -7)) + -6 + 22\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0319975 to four decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2\/9, -0.679, -4\/9, 0.1, -1\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10798 divided by 5399.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from {r: 1, q: 2, s: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 and 89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 - -197. Let t = 42 + -41. What are the prime factors of t + ((-72)\/a)\/((-2)\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -253. Suppose f = o - 4*v, -3*o + 2*o = -3*v - 126. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*v + 223093 - 231306 = 0 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 9, z: 11}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 4*h**2 + 14*h**2 - 9*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 7*t - 6. Let b = 21 + -26. Let l be a(b). Solve -m + 4*q - 11 = 6, -3*m + l*q - 27 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:29 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8243, -4, -14.\nAnswer: -14, -4, 5, 8243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 12)*(-5)\/(-3). Suppose 9 = -f*x - 21. Which is greater: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let p(l) = 7*l - 10. Let b(i) = 6*j(i) + p(i). Suppose 0 = -6*h + 13 + 17. Calculate b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1171602*q**3 + q**2 - 8*q + 565897064.\nAnswer: 3514806*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 450633948.2 to the nearest ten thousand.\nAnswer: 450630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115226285924.523 + 1.\nAnswer: 115226285925.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6596361*n + 6596397*n + 504 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 30*l - 82. Give t(-32).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(3*l**2 - 4*l**2 + 2*l**2) - 3*l**2 - l**2 + 5*l**2 + 3 - 3 - 2*l**2 + (-5*l - 16*l + 5*l)*(-2*l - 2 + 2).\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, n: 4}. Give prob of sequence bn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/20)\/(((-42)\/32)\/3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*y + 510 = 203*y. What is y rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 4*p - p. Let v(h) be the first derivative of -h**6\/180 + h**3 - 2. Let a(f) be the third derivative of v(f). Give t(a(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166 - -171. Let x(f) = f**3 - 8*f**2 - 10*f + 17. Let g be x(9). Solve 7*l = z*l + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 12 = 16*f. Solve 4*k - f*v = -0*k - 36, -5*k + v = 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513915895?\nAnswer: 5, 19, 1879, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 17*q - 10*q - 21*q + 13*q. Let b be (-44)\/16 - 9\/(-12). Let i = 4 + b. Let v(n) = 2. What is i*d(h) - v(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 2984*n - 14945.\nAnswer: (n - 2989)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/3 - 8*y. Let z(w) = 3*w**2. What is b(z(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.333 rounded to 2 dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46334 is divided by 9240.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21650 is divided by 799?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 - 63*p\/4 + 15.\nAnswer: 3*(p - 20)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 10*j**2 + 11*j + 8. Let s be i(11). Let g = 1244\/5 - s. Which is bigger: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, 2.3, -1248.9, -3, -1 in descending order.\nAnswer: 3, 2.3, -0.4, -1, -3, -1248.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Let o = 5 - j. What is the smallest common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/75922 (b) 101\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 96*y - 359. What is the remainder when 46 is divided by k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2\/4 - 1110*m - 410700 = 0.\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-2)\/(-2) - -1. Let r be -22 + 23 + (1 - -6). Suppose 8*s - r = -16. Sort -4, g, s in descending order.\nAnswer: s, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 4:42 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**3\/6 - b**2\/2 - 2*b. Let z be i(-1). Solve -3*q = -z*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 2374603?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-1577557.\nAnswer: 41016482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 times 3\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254850, 256552, 259398, 263394, 268546, 274860, 282342?\n\"Answer: k**3 + 566*k**2 - 3*k + 254286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/11 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((-2 + sqrt(26)\/sqrt(2) - (sqrt(117) + 5)) + -4)**2.\nAnswer: -2076 - 528*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 224 = -2*x. Let p = x - 36. Suppose 3*b + 0*b = 2*q + 23, 0 = -b - q + 6. Calculate the remainder when p is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -704715 (base 10) to base 3\nAnswer: -1022210200120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35153520 by 2063.\nAnswer: -17040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 53 - 49*d - 3*d**2 + 2*d**2 - 41 + 98. Let w be c(-39). Round w to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 29887032.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + (sqrt(2) - sqrt(2)*-1) + (sqrt(200) - sqrt(200)*-2)**2 - ((sqrt(36)\/sqrt(3))\/sqrt(6) + 0)) + -5 + -3)*4.\nAnswer: 4*sqrt(2) + 7128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3, -t - 22 = -4*d + t. Suppose -d*q - 8 = -0*q. Let b(f) = f**3 + 2*f**2 + 2. Let k be b(q). Solve o + 1 = -s, 3*o - 5 = k*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n**2 + 8\/3*n + 0 - 2\/3*n**3 = 0 for n.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*g = 53*g - 95*g + 54 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 1. Let g be h(8). Let k be ((-60)\/g)\/((-2)\/5). Solve -k = -6*v + v + 2*x, -v = 3*x + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2*3\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eejj when four letters picked without replacement from {j: 3, e: 7, x: 3}?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 12*k - 10. Let q be c(4). What is the greatest common divisor of q and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -9*y + 76. What is the lowest common multiple of y and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(2\/(-7) - 286\/910). Let g(t) = -5*t**3 + 12*t**2 - 6. Let i(n) = -n**3 + n**2 - 1. Give u*i(j) + g(j).\nAnswer: j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 10 = -9*f. Solve -5*r + 20 = -5*c, -4*r = -2*r + c - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 466379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 456875, 913755, 1370635, 1827515, 2284395?\n\"Answer: 456880*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18519 by -26.\nAnswer: -18519\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3606 - 457. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v + 90 = 19*v - 40*v + 13*z + 5, 10 = -4*v - 2*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 276 = -g - 2*x, -3*g + 2*x = 743. What is g rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:28 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*u**2 + 42*u**2 - u + 3*u**2 + 81*u**2)*(162*u - 68*u + 60*u) to the form k + z*u**2 + l*u**3 + t*u and give l.\nAnswer: 15862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17508, 17490, 17472, 17454?\n\"Answer: -18*i + 17526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1921, 3841, 5759, 7675, 9589, 11501, 13411?\nAnswer: 15319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 3*m**4 - 7*m**4)*(-15*m - 127 + 127).\nAnswer: 45*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23223 + 12?\nAnswer: 23235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 153489106*d**2 - 19533289?\nAnswer: 306978212*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 9*j**3 + 12*j**3)*(29*j - 20 + 20 + (j + 4*j - 4*j)*(2 + 0 + 0)) + (-2 + 2 + 2*j**2)*(-3*j + 3*j**2 + 3*j).\nAnswer: 37*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5017540291 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t = 30*t + 384. Let u = t - -128. Let j be (1 + -3)\/((-10)\/3). Is u smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.01.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4431 + -9?\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34284868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6870 - -27194.\nAnswer: 20324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 4\/4*3. Suppose -w*j + 74 = 70. Solve -2*i - 2 = j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*g + 1482*g - 114 = 9*l - 4*l + 742*g, 3*g - 192 = 9*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((-9)\/63)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4077131km in meters?\nAnswer: 407.7131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65089 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q**2 - 7*q - 7. Let h = 42 + -34. Calculate l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -3, -1, -64, 4 in increasing order.\nAnswer: -64, -3, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/3 - (-1)\/3. Differentiate -1 - 1 - 1 + 20*z**y - 22*z**2 with respect to z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f - 1. Suppose -f*g + j = -34, -g + 2*j + 4 = 4*j. Let u be 4 - g - -4 - -1. Let w(o) = -o**2 + o - 1. What is w(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpdff. Give prob of picking 1 z, 1 f, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -0.85\nAnswer: -35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -29. Suppose 3*u = l - 15, -2*l - x*u + 10 = -5*u. Solve l*s + 3*s + 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*b + 21, 5*b = -13*g + 11*g + 35. Let i be b\/(-2)*(0 + (-4)\/28). Let r = -2 + 2.1. What is the closest to 1\/2 in r, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26521614 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r. Let l(t) = -16*t**2 - 663*t. Give l(v(p)).\nAnswer: -256*p**2 + 2652*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7c2 + -2?\nAnswer: b7c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11565 - 0?\nAnswer: -11565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -107*i**6\/3 + 11*i**2\/2 + 16*i + 312. Find the second derivative of y(n) wrt n.\nAnswer: -4280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49724, 48961, 48194, 47423?\nAnswer: 46648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 14 + 14)*((0 + 1 - 3)*(4*y - 6*y + 3*y) + y + 1 - 1 - y - 2*y + 5*y + 0*y + 0*y - 2*y + 46*y - 59 + 59).\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -93 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/4 + q**3\/6 - q**2\/2 + 52*q. Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*i + 1396611 = 1387540 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 3, x: 4, d: 1}. Give prob of sequence xxss.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 30*h - 9. Let x be -8 - (728\/(-8))\/(-13). Calculate k(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**4\/9 + 30478*n**3\/3 + 411526*n**2\/9 + 60968*n\/3 = 0.\nAnswer: -4, -1\/2, 0, 22863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 277 = -0*b - 553 + 288 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33172 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus -28.98?\nAnswer: 29.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(448))**2.\nAnswer: -48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 2, t: 1, o: 2}. What is prob of picking 1 t and 1 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -985 divided by -197.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:22 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 6*l - 16. Let k(m) = 3*m**2 + 5*m - 16. Let w(z) = 4*j(z) - 5*k(z). Is 7 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 14*s - 40. Solve -2*w = -s + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 3*s + 2, s = -5*y + 7. Let c be (-4)\/6*y + 80\/12. Let h(k) = 3*k**2 + 5*k - 5. Let w(p) = 3*p**2 + 6*p - 6. Give c*h(f) - 5*w(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*t - 0. Let d be -2 - (36\/t - 0). Factor 2\/7*j**2 + d + 6\/7*j.\nAnswer: 2*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/(-6)*4\/3. Suppose -z = 5*i, -i - 2 = 2*t + i. Determine v, given that -t - 15*v + 8*v**3 - 5*v**3 - 3*v**2 - 8 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x + 84*x - 9792 = -179*x + 11712 for x.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*r - 2. Let x be (-4)\/8*r + -12. Suppose -322*p - 12 = -325*p. Put x, -3, p in decreasing order.\nAnswer: p, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 38*n + 2. Let w(p) = -p - 6. Let c be w(0). Let j be h(c). Is (j\/(-6))\/(21\/63) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m - 3. Let i(z) = -11*z - 2. Let b(w) = -2*i(w) + 3*s(w). Let u be b(-5). What is the remainder when 81 is divided by (-3)\/30*-6*u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2704000 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142.17 rounded to the nearest 10?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -64 - ((1 - 0) + (-1782)\/162)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 0.5, 0, 0.1 in descending order.\nAnswer: 0.5, 0.1, 0, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2 - 6, 212 = -4*d + 4*u. Let l be (-9)\/21 - 119\/d. Find the third derivative of l*b**2 - 8*b**4 + 7*b**2 + 9*b**2 wrt b.\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784102?\nAnswer: 2, 11, 29, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2 + 22*x + 4. Let r = -92 - -99. Let n(m) = 3*m**2 + 7*m + 1. Let t(w) = r*n(w) - 2*g(w). Calculate t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 149*t**2. Let j(f) = 13*f**2. Determine n(j(g)).\nAnswer: 25181*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*(-234)\/585*25\/(-24)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**2\/2 + i - 1. Let v be (-8)\/(-14) - (-8)\/(-14). What is the lowest common multiple of 4 and y(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)*t*t*t\/t**2)**36 assuming t is positive.\nAnswer: t**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14788105 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274.9 - 275. Let g = 117 - 588\/5. Put -0.3, -1, g, k in descending order.\nAnswer: k, -0.3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in decades?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c + 13. Let k(r) = 4*r - 4. Let b(m) = 8*k(m) + 3*s(m). Suppose 0 = q - 0*q + 6. Calculate the remainder when b(q) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126 + 137 - (38 + 1)) + -7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -8*w + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/2*(-253)\/(2277\/162)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 118336*d - 55939506.\nAnswer: 2*(d - 59637)*(d + 469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/15*6*7\/504\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by 1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2896*f = 2870*f - 468 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.313 + 3.313. Sort -2\/195, a, 0.2 in descending order.\nAnswer: 0.2, -2\/195, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2 + 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (71\/(-4))\/(2\/8). Let p = a - -102. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 1556 - 1412 = 0. Let h = -1 + 3. Suppose -n = 5, -5*n = -s + 56 + h. What is the remainder when s is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**3\/3 + 10*c**2 + 2*c + 397. Give g(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330436 by -4.\nAnswer: 82609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0, 401022, 2 in descending order.\nAnswer: 401022, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -22*u**3 - 5*u**2 - u + 1. Let b(j) = -j**3 + j**2. Let x(y) = -5*b(y) - m(y). What is the second derivative of x(c) wrt c?\nAnswer: 162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728 + 23*k**3 + k**2 - 93*k**3 - k + 274.\nAnswer: -70*k**3 + k**2 - k + 1002","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 + 51 + 35 - 5?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12064554 to the nearest 10000.\nAnswer: -12060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.42 (c) 2\/3 (d) 0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2401*n - 19213. Determine f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95583.81 months in millennia?\nAnswer: 7.9653175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91778 is divided by 18319?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + (sqrt(3) + 1)*-3 + -1)**2 + ((sqrt(147) + -1)**2 - sqrt(192)*-2).\nAnswer: 14*sqrt(3) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 359*h - 307. Is z(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 6}. Give prob of sequence ee.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82419 - 137243.\nAnswer: -219662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/2910 and ((-77)\/(-14938))\/(3 - (-1548)\/(-512))?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {h: 4, x: 2, v: 7, u: 5, k: 2}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499550443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2270.\nAnswer: -1\/2270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726323829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 2207.54223.\nAnswer: 2206.94223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-160)\/(20 + -28)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + z = -2, 0*z + 2*z = 3*a + 3. Let s(u) = 81*u**2 - 2. Is s(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 231?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4146671205 to the power of 1\/2, to the nearest integer?\nAnswer: 64395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 81. Let l(z) = 11 + 0*z**3 + z**n + 73*z - 59*z - 11*z**2 + 5. What is the units digit of l(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001696 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {m: 1, f: 4, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -522002\/145 - -3600. Put h, 2\/7, -0.4 in ascending order.\nAnswer: -0.4, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + 2290.34882167.\nAnswer: 2291.04882167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f - 4*v = -168*f + 92*f + 14, -f = 4*v + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 38, 324, 880, 1796?\nAnswer: 3162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:45 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 7, p: 2, i: 1}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 1. Let h(t) = t**3 + 18*t**2 + 17*t + 2. Let f be h(-17). Let u be s(f). Solve -u = p - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -435, 4, -16.\nAnswer: -435, -16, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -11*v + 17*v - 5*f, 4*v - 2*f - 26 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/5, 11531, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9\/2)*z*z*z**(-5)\/z)\/((z\/(z**(-2)*z))\/z**1))**39 assuming z is positive.\nAnswer: z**(-741\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/5 at least as big as -15.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 6. Suppose 5*w - o*w - 6 = 0. What is the biggest value in -5, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162346871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19880357?\nAnswer: 7, 617, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341383 and 980.\nAnswer: 6827660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -858*q + 4*q**4 + 0*q**4 + 3776*q**2 - 2*q**4 + 858*q - 1146*q**6 - q**5 wrt q.\nAnswer: -137520*q**3 - 60*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*c + 2*c - 4, 3*z - 26 = -5*c. Is ((-81)\/(-12) + -1)*c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 5:35 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1680 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = t - 4*t - 5552, 3*o + 5*t = 3304. Let a be (1 + (-1110)\/o)*(-2 - -6). Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z. Let n(v) = v - 13. Let x(m) = -4*m + 91. Let y(c) = -7*n(c) - x(c). Give l(y(d)).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t - 1. What is the units digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/15 + 5*u**4\/12 - 7*u**3\/6 - u**2. Is h(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87768204 times 0.3?\nAnswer: -26330461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (sqrt(45)*-1)\/sqrt(9).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*q**3 + 2*a*q**2 - 2*a + 46778*q**3 - 4*q**2 - 197 wrt q?\nAnswer: -12*a + 280668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -1, -34, -93, -184, -313, -486?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 30 - (14 + 1 + -6)) + -8 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69634*f + 69633*f - 208903*f + 69633*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(2299))**2 - sqrt(19)).\nAnswer: -2*sqrt(19) + 4598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415309 is divided by 1389.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k = 2*o + 3206, 3*k = 4*o + 1932. Does 80 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048014 divided by 869?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*1\/(-18)*(-1356)\/(-112) and -17\/4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 8 = 0, 37*x - 23*x + 3*s + 10 + 8 + 10 - 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 12 - 7)*(-12*u + 11*u + 22*u).\nAnswer: 861*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60496?\nAnswer: 2, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuj when four letters picked without replacement from {i: 4, u: 1, c: 2, j: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9 - 37*a**2 + 73*a**2 - 42*a**2 + 27*a.\nAnswer: -6*a**2 + 27*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -21, -31, -45, -63, -85, -111?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510506587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 148*j - 175*j - 641*j as o*j + k and give o.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001121 (base 3) to base 4.\nAnswer: -30010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/24)\/b**(-6)*b\/(b\/b**7)*(b\/((b*b**(-2\/11))\/b))\/b assuming b is positive.\nAnswer: b**(3469\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 - 684591470.\nAnswer: -684591526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Solve 25 = -3*m + 2*x + 2*x, -n*m + x - 13 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 20927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**0))\/(j\/((((j\/(j\/(j**5*j)))\/j)\/j*j)\/j)) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1058*n**3 + 3*n**2 + 34*n - 270?\nAnswer: -6348*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times 2.772?\nAnswer: 8.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/220)\/(2\/10))\/((-9)\/(-702)*-13)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*s - 17, -s + u + 4 = 2*u. Suppose -5 = -2*h + s. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87.043 + -13.081. Let t = 0.112 + -74.112. Let w = o + t. Round w to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 8860967 = -66*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 + 145. Let n be 0\/2 + (-6 - -5). What is the closest to p in 0, n, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnbn when four letters picked without replacement from nnbnnnnnnbnnbnnn?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 22*o - 23. What is v(21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6)*(-9)\/6. Let l(c) = n + 24*c**2 - 7*c**2 - 1 + 1. Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 387.124 and -0.3.\nAnswer: -116.1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 31*g**4\/4 + 8*g**3\/3 - g**2\/2 + 2*g + 65. Let l = -22 + 16. Let s be q(l). Round s to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(70) - sqrt(70)))\/sqrt(10).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5592846 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuoooooooooooouo. What is prob of picking 1 u and 2 o?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.6916 - 127.3754. Let q = k + 143. Let i = 16.067 + q. Which is bigger: 0.3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511, 2155, 4895, 8731, 13663, 19691?\nAnswer: 26815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 3*-2)*1. Let z(q) = 3*q**3 - 4*q**2 + 4. Let r(b) = -8*b**3 + 11*b**2 - 11. Calculate d*r(c) + 11*z(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8075 - -7918. Is -140 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtyy when four letters picked without replacement from yytytyynnttfnj.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - 2*(sqrt(7) - sqrt(28)))*5 - 5*(sqrt(28)\/sqrt(4)*-3 + sqrt(7))) + -2.\nAnswer: -2 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -57 + (-7 - (-1 - 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1\/2)*i))**(-44)\/(i**(1\/3)*i*i)**36)\/((i**2*i**8)\/((i**8\/i)\/i**(-1\/6))) assuming i is positive.\nAnswer: i**(-653\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 0)\/(80\/(-408)). Let a = 91\/2 - q. What is the second smallest value in -0.2, 4, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -271.25 + -75.05. Let d = 327.428 + 0.572. Let i = p + d. Round i to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from szzzyzsgyuzuyny?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (14 + (-16 - (-12 + 10)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47784 rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -3) + 8 - (1 + -1 + -12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 2. Let s be (56\/24)\/(2\/g). Let b(f) = -1 + 1 + f + f**2 - s*f. Give b(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 663 - 659. Solve 0 = -3*t + 3*c + 15, 4*t = -c + 6 + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*((sqrt(243) - -2*sqrt(243)) + 3))**2 - (2*sqrt(243) + -1 + (3*(sqrt(243) + 2))**2).\nAnswer: 145458*sqrt(3) + 1974178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 286 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 460*o + 929*o = 468*o + 14, -25 = -5*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783247*d + 1 - 1 + 113114*d.\nAnswer: -670133*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + 1*(2 + ((sqrt(432) - (sqrt(432) - sqrt(432)*2)) + 0 + sqrt(432) - sqrt(432)))**2.\nAnswer: 96*sqrt(3) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -50, -32, -30, -50, -98, -180, -302?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 21*o\/2 - 20.\nAnswer: -(o + 2)*(o + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 163*v + 4147 + 1232 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 - -11) + (-103)\/(-1). Let d = 168 - i. What is the remainder when d is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 1145, 1067, 947, 779, 557?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5 + 3. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 1\/15*u**6 + 0*u**3 + 0*u**2 + 97\/20*u**5 - 71\/12*u**4 - 145*u + 0. Find the third derivative of q(z) wrt z.\nAnswer: 48*z + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 8906 + g**3 - 5*g**3 - 2*g**4 - 8904 in the form s*g + r + o*g**2 + p*g**3 + v*g**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5 (c) -48 (d) 2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 394848006 and 394848005 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from jjjjfjfufffjjfjuff.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1652.63443 to the nearest 10.\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664*m = -658*m. What is the closest to -0.2 in m, 184, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 8:38 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2684171, -2684178, -2684183, -2684186?\n\"Answer: d**2 - 10*d - 2684162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let g = 3 + 0. Suppose t + g*w = -14, -5*t - 3*w = 1 + 9. Which is the closest to 0.1? (a) -4 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4024, 4132, 4312, 4564, 4888, 5284?\n\"Answer: 36*f**2 + 3988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j - 75. Suppose 4*i = -5*v - 10, -4*v + i = -9*v + 5. Suppose -v*g + j = -g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.3 + -2.3. Let v = -145.7 - -136.93. Let o = g + v. What is o rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = l + 13 + 11, 5*l - g + 176 = 0. Which is greater: -35 or l?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24861, -4\/7, 32 in increasing order.\nAnswer: -4\/7, 32, 24861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 174*f. Let s(h) = -2*h. Calculate v(s(x)).\nAnswer: -8*x**2 - 348*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**2\/8 - 2817*j\/8 + 7005\/4 = 0.\nAnswer: 5, 934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, s: 2, m: 6, j: 1}. What is prob of picking 2 s, 1 j, and 1 m?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/2 + (-4 - -4). Suppose 5*j + 0*t = -p*t + 2, -3*t = 4*j - 2. Factor -2*c**2 + 0*c + 8*c - 8 + 0*c**j.\nAnswer: -2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45275 + 23047?\nAnswer: 70344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = 3*q + 2*v + 335, 0 = 3*v - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v**2 + 34*v**2 + 37*v**2 + 35*v**2 - 139*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 10. Let b = 9.3 - x. Let l = -0.1 - 0.9. Is l greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 56*d + 199. Let m be 12\/18 + 102\/9 + -5 + -31. What is r(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2, -0.2, 103 in increasing order.\nAnswer: -0.2, 1\/5, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 13*y. Let h(s) = 16*s. Calculate a(h(x)).\nAnswer: -512*x**2 + 208*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316145 is divided by 53?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13631 - 4.13631. Sort v, 3, -17\/2, -0.2, 1 in ascending order.\nAnswer: -17\/2, v, -0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530428949 to the power of 1\/2, to the nearest integer?\nAnswer: 39121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - 208*i - 204 = 0. What is i?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -208184 + -75?\nAnswer: -208259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1762697\/132 - 13353. Calculate the common denominator of 40\/7 and z.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/669 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*t + 2*t. Let g = -2 - -5. Factor -6*w**t + 4*w**g - 1 - 2*w**2 + 3 + 2*w + 0*w**3.\nAnswer: -2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148 - 77 + 3)*(-2 + 4*r**2 + 2) + (r**2 - r + r)*(-5 + 2 + 1).\nAnswer: 294*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5\/3 + 3382*f**4\/3 - 1440932*f**3\/3 + 158793520*f**2\/3 + 6990077248*f\/3 - 7147433216\/3 = 0.\nAnswer: -34, 1, 308, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-3 + 1 + -3). Solve 0 = 4*l - 4, u*l - 15 = 3*v - 8*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/4 + 32*d + 5\/4*d**2.\nAnswer: (d + 25)*(5*d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**8\/784 + 2*i**7\/245 - i**6\/56 + i**5\/70 + 2*i**2. Factor s(p).\nAnswer: -3*p**2*(p - 2)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 474*i - 471*i - i**5 - 2*i**5 + (4 + 2*i**2 - 4)*(-i**2 + 2*i**3 + i**2) - 7*i**2 + 84*i**5 + 7*i**2.\nAnswer: 85*i**5 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 123571300 to the nearest one million.\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3 = -2*v + 11, 0 = -3*v + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*i - 2 = 10, 0 = -3*i. Suppose -k + 12 = 2*k, -5*m + h*k + 188 = 0. What is the greatest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 4. Let s(c) = -c - 4. Let w(b) = 6. Let r(d) = -3*s(d) - 2*w(d). Give r(u(f)).\nAnswer: 9*f - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jll. Give prob of picking 1 l and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (4 + 2*sqrt(832) - (-5 + sqrt(832)*-2)))*4)**2.\nAnswer: 32768*sqrt(13) + 856064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/80 and (474\/(-48) - -5)\/(-3 - -13).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z - 7 = -s, z = -4*s + 7. Let m be (z + 1)\/(-1 - -2). Solve 2*k + 8 = m, 0*k + 5*k + 26 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxoxkkk. Give prob of sequence xkk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7\/2*-2 + (-108476)\/(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s**3 + 11*s**2 + 296*s - 1254. Determine q(4).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1443*c**4*q - c**2*q + c*q + 830*q wrt c?\nAnswer: -34632*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-55)*(-31 - -1). Suppose -3*l - 9 = -c. Let s(o) = -10*o**2 - o + 1. Give s(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3. Let r(u) = -6*u**4 - 2*u**3 - u**2. Let d(j) = -2*c(j) - r(j). What is the third derivative of d(y) wrt y?\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1717 - 15455\/9. What is the third biggest value in -1.1, q, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 2, i: 5, g: 3, s: 1}. Give prob of sequence siw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497546518 to the power of 1\/3, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m. Determine l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4189, 4199, 4209, 4219, 4229, 4239?\n\"Answer: 10*t + 4179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**2 + 62*g + 56. Let b(n) be the first derivative of -n**2 + 11. Determine b(t(p)).\nAnswer: 4*p - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i + 14. Give f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3098382.\nAnswer: 2, 3, 7, 73771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/3 + 100. Let d(r) = -r**2. Determine d(c(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13247978.\nAnswer: 2, 19, 59, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167362*i*m**2 + 2*i*m + 267642*m**2 - 8*m with respect to i.\nAnswer: -167362*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**14*u)\/u*u*u*u**(-3\/5)*u)**(-16) assuming u is positive.\nAnswer: u**(-1312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*u + 10 = u, -2*m + 4*u - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Find the first derivative of -2 - k + 4*u**2 + 6 wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:39 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/19)\/(m**7*m*m))\/((m**(3\/13)\/m)\/m*m**(1\/15)) assuming m is positive.\nAnswer: m**(-27232\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and -0.0459395?\nAnswer: -0.01194427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 727, 3, 10, -5437, 4 in descending order.\nAnswer: 727, 10, 4, 3, -5437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -21. Let v = n - 4. Let y = v + -4. Which is smaller: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * -0.2\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16688141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 28 - -62) + (-4 - (-5 + 1))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43\/6 + -23\/3. Which is the third biggest value? (a) 3 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.07, -0.1 in ascending order.\nAnswer: -0.1, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 3*u + 2. Let h(s) be the second derivative of -s**4\/12 + 2*s**3\/3 + 3*s**2\/2 + 26*s + 2. Determine 4*h(y) - 6*m(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -88\/1675 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -104 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:57 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4576 and 53\/52?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105.2 + 17.2. Let l = o - -88.1. Let i = -5 + 5.3. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -10.27?\nAnswer: 3.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:51 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27771019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnv when three letters picked without replacement from vvvnnv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(119)*2)\/(2*sqrt(175)*5 + sqrt(175)) + 5.\nAnswer: 12*sqrt(17)\/55 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-11))\/p)\/p)**(7\/4)\/((((p**(1\/41)\/p)\/p)\/p)\/(p**(-30)\/p)) assuming p is positive.\nAnswer: p**(-2010\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 604.7567 decades in centuries?\nAnswer: 60.47567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**5\/15 + 3*z**4\/8 - z**3\/3 - 5*z**2\/12 - 45. Suppose g(r) = 0. What is r?\nAnswer: -5, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.728 less than 0.315087?\nAnswer: 91.043087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.3202791395797.\nAnswer: 3.3202791395797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.0009 - -0.0181. Let g = p + -0.619. Put 0.5, g, 8\/7, -1 in ascending order.\nAnswer: -1, g, 0.5, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 193*x - 58. Let r be f(-39). Are 23 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Suppose 96*o - 359 = 217. Solve o - j = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 25 + 13. Let v be (-4)\/(-6) - (-52)\/12. Suppose 4*x - d - v*x + 3*x**2 + 4*x = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twbkbkxbkbttbkk. What is prob of sequence tk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 23. Let n = -15 + t. Let v = n - -12.99996. Round v to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47298 and 70947?\nAnswer: 141894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, -121, -2, 1, -5\/4, -1 in descending order.\nAnswer: 12, 2, 1, -1, -5\/4, -2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-90)\/28)\/(-9)*(-42)\/(-100))\/(252\/32)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -2\/5, -0.01, 0.5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-12 - (-9 + 5) - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2660*q + 29105. What is d(-11)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 k, and 1 l when four letters picked without replacement from {k: 3, l: 2, u: 3, o: 1, x: 3, b: 1}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*j + 16 = -132*j. Let r be ((-18)\/j)\/3 - (-349413190)\/56. Let y = 22839522 - r. What is y rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16*d + 5*d + 2 - 5*d**3 + d**2 + 13*d. Let l be g(-1). Solve -5*t + 3*t = i - l, t = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 g when three letters picked without replacement from ffwufgzwgfgef?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/5)\/(10\/40*-4). Which is the smallest value? (a) k (b) 0.22 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/5 - 48*w**3\/5 - 278*w**2\/5 + 48*w\/5 + 56 = 0. What is w?\nAnswer: -14, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 0.57 (c) -18 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2753184?\nAnswer: 2, 3, 7, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - w**2 + 2*w - 1. Let q be c(1). Suppose 2*x - 31 = -m + 6, 33 = 3*x - q*m. Solve -4*y - 4 = -x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 35*j + 69 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15110286.\nAnswer: 2, 3, 43, 58567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x + 1. Let p(v) = -33*v**3 - 5*v**2 - 4*v - 6. Calculate 6*b(k) + p(k).\nAnswer: -33*k**3 + k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-21))\/(6\/(-8)))\/((-6154)\/(-2534)).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/10)\/9*0. Solve z = -5*q + 8 + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/327 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 778 and 3698432282.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27514, -55023, -82532, -110041, -137550?\n\"Answer: -27509*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**6\/150 + 3*c**5\/25 - c**4\/30 - 6*c**3\/5 - 11*c**2\/2 - c - 30. Let s(d) be the second derivative of p(d). Factor s(l).\nAnswer: 4*(l - 1)*(l + 1)*(l + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 0 - 2*j**2 + 1\/12*j**4 + 0*j + 2\/3*j**3 - 1\/60*j**5. What is the units digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1988*k**3 - 606*k**3 + 571*k**3 + (4*k**3 - 3*k**3 - 4*k**3)*(5 + 2 - 5 + (0 + 1 + 0)*(0 - 2 + 4) + 3 - 2 - 3 + 2 - 3 + 2))*(0*k**2 + 0*k**2 - k**2).\nAnswer: -1944*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 467*j + 155968. Determine p(-334).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1861 - 69*u**2 - 1861 to the form r*u**2 + f + o*u and give r.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2273 = 345*v - 1169*v + 14207 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(0 + 1 + 2)*(62*c + 758 - 758).\nAnswer: -372*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + 2 + sqrt(60)\/(sqrt(12)*2) + 3 + -6*sqrt(15)\/sqrt(3)*4).\nAnswer: -141*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1954110333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 47 = -23*u + 5*g, -7*u - 15 = -37*u - 5*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 35. Factor a*j + 2\/7*j**4 + 0 + 0*j**2 - 2\/7*j**3.\nAnswer: 2*j**3*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, -0.05, 13 in decreasing order.\nAnswer: 13, 0.21, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 times 5?\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let a(b) = -124*b**2 + 93*b - 93. Let w(l) = l**2 - l + 1. Let g(u) = a(u) + 93*w(u). What is n(g(m))?\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0278 - 0.0278553. Round c to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 745662*-7\nAnswer: -5219634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = 3*t, -264*b + 266*b = 5*t - 67. Let z(q) = 8*q**3 + 11*q + 39. Let v(x) = 3*x**3 + 4*x + 13. Calculate t*v(o) - 4*z(o).\nAnswer: o**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -22*l**2 - l + 1. Let k(f) = -22*f**2 - f + 1. Let a(x) = 4*k(x) - 5*y(x). What is the lowest common multiple of 16 and a(1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 21*q - 31. Let x(r) = r**2 - 11*r - 16. Let k(a) = 6*f(a) - 11*x(a). Let c be k(7). Suppose c = j + 6. Sort j, 4, 1.\nAnswer: j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6749144mm to micrometers.\nAnswer: 674.9144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5757.\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*d = 3 + 7, 0 = -a - 3*d + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14 = 46. Suppose 16 = 2*n - s. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 21*r + 22*r + 31 = 0, -29 = -5*v - r. Solve v*p = 8*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3920, -7809, -11708, -15623, -19560, -23525, -27524?\n\"Answer: -f**3 + f**2 - 3885*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 17*u = -l - 18, -u + 3 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58326 + -40597. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + -6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t\/(t**(-2)\/t*t)*t*t**3*t**4\/(t**(1\/4)\/t)*(t*t**(-2\/9)\/t*t)**(-37)*(t*t**(-2\/3))**(1\/5) assuming t is positive.\nAnswer: t**(-2693\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -22*b - 289. Let z be k(0). Let u = 833 + z. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ab3c0 + 4?\nAnswer: -2ab3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 + 72296*q\/5 + 14460.\nAnswer: -4*(q - 18075)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45597581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - d - 314 = 313, -5*u - 2*d = -3163. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 998435036 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 12*v**2 - 14*v**2 + 11*v as o + h*v + k*v**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 2512?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 15, -12 in increasing order.\nAnswer: -12, -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-704)\/(-154)))\/(1\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -21. Solve -h - 2*h + 5*s + 17 = m, -3*s = -5*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 1093980*l + 15314740.\nAnswer: 5*(l - 218782)*(l - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 7.5. Let t = 0.112 - 7.412. Let v = t - k. What is v rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3182055 divided by -636411.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1175.01 - -1175.08. Let o = -1075\/8 + 134. What is the third biggest value in 1, j, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2 - 8 - -2. Let w = n - -3. Let j be (31*6)\/(w\/(-500)). What is j rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**2 - 148*n + 152 = 0.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*b - 25 = 0, -4*b - 2 = -5*a - 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -1731.\nAnswer: 15579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a3 - -4672?\nAnswer: 439c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 - -506. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.03 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 3. Suppose 10 = -r + q. Let j(b) = -2*b. List the prime factors of j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755264 less than 0.187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -23, -22, -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 6\/4*-2. Let g = -1 - u. Suppose 3*k + g*k - i = -3659996, 5*k = 3*i - 6099988. What is k rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let j(y) be the second derivative of 13*y**3\/6 + 13*y**2\/2 - y. Let h(i) = -6*c(i) + j(i). Is h(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -25. Suppose -201 - u = -5*l. Suppose 0 = s + 4*q - 15, -3*s = -2*q - 2*q - l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((16236\/(-120))\/123)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -19*r + 3. Give m(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-11 - -8 - 3\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7379 + -7374. What is the nearest to -1 in h, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2797*o**4 + 2*o**2 - 4*o**2 - 2798*o**4 - 43 + (-5 + o + 5)*(0*o**3 - 3*o**3 + 2*o**3) - 3*o + 3*o - o**4.\nAnswer: -3*o**4 - 2*o**2 - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 111 (c) 0.1 (d) 0.5 (e) 34\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 535179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10\/9*6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:02 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15637?\nAnswer: 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -75\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208997 + 3*h**2 + 208997.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 304943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181153, -181158, -181163, -181168, -181173, -181178?\nAnswer: -181183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/(-3 - 103\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/23 (b) 323 (c) -0.14 (d) 177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 687?\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 1. Suppose -6*g - 123 = -g - 4*c, 4*g + v*c = -82. Let x = 28 + g. Solve 4*o = 5*n - 2 - 7, x*o + n = 25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 5*s**4\/12 - 27*s**3\/2 + 11*s**2 + 7*s + 6. Let c be b(16). Calculate the highest common divisor of c and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/36*8\/3*(-1071)\/(-714).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 34 (c) 0.4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 231884*t - 96. Let s be u(-5). Let j(l) = 2699515*l - 1. Let x be j(-1). Let k = s - x. Round k to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let g = r + 0.9. Let m = g - 0.4. Which is the third biggest value? (a) -2 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330078 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543251.6 rounded to the nearest 100?\nAnswer: 2543300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j + 8*j - 7203. What is the remainder when j is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.1056\nAnswer: -0.2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6931*y**2 + 3*y - 17747 with respect to y.\nAnswer: 13862*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 81, -1410 in increasing order.\nAnswer: -1410, 43, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33.1769 or 0?\nAnswer: 33.1769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j - 14 = -2*s, -4*j - 20 = -3*s. Suppose 0*b - 56 = -2*b. What is the lowest common multiple of s and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -8. Solve -5*t = -0*t - o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 44 = 3*b, -2*b + 3*z = -25 - 11. Let f = b + 3. Solve -k = -4*o + 5*o, -3*k = f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*v + 11 = q, -5*v = -3*q + 4. Calculate the least common multiple of 2\/q + 8\/6 and -8*((-15)\/(-2))\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - 2*h**4 - 75 - 4*h**2 + 5*h**2 + 80 + 0*h**3 to the form s*h + v*h**3 + g*h**2 + w*h**4 + x and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*x + 2*x - 57, 2*c + 5*x = 9. What is the lowest common multiple of c and 34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7 - 22) + 10)*1*3\/24?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101101110111 (base 2) to base 9\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -987 + 951. Let q = -3 + 5. Let q + 9 - l*w - 5 + 2 - 4*w**2 = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6944115 nanometers to centimeters.\nAnswer: 0.00000006944115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2214)\/(-1134) - 5\/(-7)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 9. Let w(s) = s - 6. Let f be w(5). Let z = -2226 + 2223. Let r be -1*(3 + (-11 - z) + f). Determine g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*w**3 + 445*w**3 + 1838*w**3.\nAnswer: 3095*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1535 by 141.\nAnswer: -1535\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24922 + -2?\nAnswer: 24920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10 = -3*b + 8*b - 2*r, 64 = -12*b + 3*r + 97 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 36210*b - 181090. Determine a(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q**5 + 390*q**4 - 3678*q**3 - 11736*q**2 - 10833*q - 3174 = 0 for q.\nAnswer: -1, -2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 + s + 26. Calculate z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {m: 1, g: 1, e: 2, d: 1, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 78775 (b) 2\/11 (c) 20 (d) 4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*r - 1065*r = 3*j - 1, 1 = j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/80 and 57\/280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 128 + 208 = 0. Sort 0, n, -1.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -0.687, 0?\nAnswer: -0.687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i**3 - i**2 - 2*i - 1. Let b be g(-1). Let v(n) = -n**3 + 9*n**2 + 10*n + 13. Calculate the remainder when 51 is divided by v(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1100825*i**3 - 236525*i**2.\nAnswer: -6604950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 5:57 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -102*n**2 + 85*n + 13279. What is s(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/3)\/(1\/((-12)\/9))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - 4. Solve f*h = 4*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 1:27 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*q = -q + 20, -3*q + 6 = 0. Let t(r) = 14*r**3 + 5*r**2 - 15*r + 8. What is the hundreds digit of t(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/23 - 64420*c**3\/23 + 1416514*c**2\/23 - 7789496*c\/23 = 0. Calculate c.\nAnswer: 0, 11, 32188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 94 = -2*t, 2*t + 3*t = -2*k + 193. Let s = t + -1. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 29473058.\nAnswer: 5\/29473058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-70)*(-4)\/6. Let m(q) be the second derivative of 1\/25*q**5 - q + 0 + 2\/75*q**6 - 4\/15*q**4 - 2\/5*q**2 + 7\/15*q**3 - j*q**7. Factor m(c).\nAnswer: -2*(c - 1)**4*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2982 + 2994. Calculate the remainder when 4689 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = q - 3*b, 10*q - 3*b = 13*q - 27 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -2*c**3\/3 + c**2 + 2*c - 7. Let h be a(2). Let k be (70\/84)\/(h\/(-12)). Solve 6 = 2*g + b - 5, -k*g - 4*b = -35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:07 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -1\/3, -4, 1, 44 in ascending order.\nAnswer: -4, -1\/3, 1, 4\/3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c - 0*c, 4*c - 348 = -4*h. Calculate the highest common divisor of h and 1628.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -9*d**5\/2 - d**4\/6 + 4*d**2 + 17*d + 2. What is the third derivative of i(m) wrt m?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + -1.4. Let w = p + 0. Let n = -35 - -32. Which is the nearest to 1\/2? (a) 1 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m. Let o(y) = -28*y**2 + 2. What is r(o(f))?\nAnswer: -196*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.4523 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*l + 0)*(4*l + 2*l - 5*l) + 2 - 2 - l**2 + 2*l)*(2*l**3 - 2*l**3 - 2*l**3).\nAnswer: -2*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 16 + 157 + 9 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022013 (base 4) in base 3?\nAnswer: -212100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t. Let v(p) = 18*p + 3285. What is f(v(r))?\nAnswer: 36*r + 6570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182 divided by -19?\nAnswer: 1182\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3642469 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -8*r + 2, 5*m - 25 = 5*r. Find p, given that 5*p**m + 20*p**3 + 4604*p**2 + 5 - 4574*p**2 + 20*p + 0 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1933697.\nAnswer: -5\/1933697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17732204\/11 + -1609990. Let l = v - 2025. Find the common denominator of l and 115\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/48*-1*-18134. Let c = b + -3389. Calculate the common denominator of (-2)\/(-3)*(-273)\/36 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 18*n + 144. Let k be i(-7). Solve -115 = k*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {g: 3, p: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 1 = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*u = -0*i + 3, i + 3 = -2*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326336887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m**3 - 4*m + 3*m)*(0 - 3 - 4).\nAnswer: -7*m**3 - 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 18*v**2 - 19*v. Let n be i(19). What is the nearest to n in -4, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -3. Let k = -1 - -18. Let r = -2 + 2. Solve r = n + 3*l - 14, -s*n + 0*l - k = -3*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*w**2 - 46 + w + 106 + 20*w**3 + 48*w**2.\nAnswer: 20*w**3 - 228*w**2 + w + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -19446*i + 4005874. Calculate t(206).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:04 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 58672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:03 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 69284\nAnswer: -3464.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e2 + -3c723?\nAnswer: -3c805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1396 + 2797 + 7*a**2 + 4*a**3 - 1400 + (a**2 - a**2 + 2*a**2)*(2 - 2 - 5*a).\nAnswer: -6*a**3 + 7*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/8 and 29\/74760.\nAnswer: 74760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 17.9 (b) 0.4 (c) -406 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 8. Let l be 78\/(-65)*(-1 - -6). What is the tens digit of k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 766159.5 centuries?\nAnswer: 76615950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 16, h: 3}. What is prob of sequence hejh?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 32*s - 191. What is the units digit of f(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 435\/7 - 486\/7. Find the common denominator of f and 19\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51264163616.5 from 54.\nAnswer: -51264163562.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 6364962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -9 (b) -69 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:51 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.759094 decades to months.\nAnswer: 691.09128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 + (-28199056)\/(-170) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 3. Let y be n(1). Suppose -2*t + p = -840, -128*p + 1668 = y*t - 124*p. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from liloloottlooilt.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.33 - 0.33. Let v = j - 25. Sort v, -3\/8, 4\/7 in descending order.\nAnswer: 4\/7, -3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32688647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(3*n - 2*n + n) - 2*n - 3*n + 3*n + 2*n + 0*n - n + 9.\nAnswer: -3*n + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a*a**(3\/7)*a)\/a)*a)\/a*a)\/(a\/((a\/(a\/(a*a*a*a*a*a\/(a**(3\/4)*a))))\/a)) assuming a is positive.\nAnswer: a**(107\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = 2*o, -182*l + 186*l = o - 25. Solve 15 = 5*k + o*t, 2*k + 3*t = -2*k + 11 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 575\/21 + -481\/7. Let q = -41 - c. Factor -q*i**2 - i - 2\/3.\nAnswer: -(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -1*sqrt(136) + sqrt(136) + sqrt(136))*4)\/(sqrt(16)\/(sqrt(2) - sqrt(8)) - sqrt(8)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/859885 or -843?\nAnswer: -843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*a**2*v**3 - 10*a**2*v - 43*a*v**3 - 62*v wrt v.\nAnswer: 120*a**2*v - 258*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-666)\/(-777))\/(1\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Suppose 3*l + 30 = -7*l. Is c greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(((30\/(-597))\/(-5))\/(-2))?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699*o = 699*o - 1392*o. Let d = -81 - -146. Suppose 2*x + 3*x = d. What is the biggest value in o, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 7*c**2 - c. Determine t(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -57, -88, -121?\n\"Answer: -v**2 - 26*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 71 - (5 - 2)*1. Put -2, -4, j in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 13*b + 198 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x - 2. Let i be v(-3). Let p = i + 41. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16776 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = -0*u + u, 2*t = 2*u - 14. Let f(y) = 4*y - 2. What are the prime factors of f(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v = 8. Suppose 3*j - v = 11. What is the remainder when ((-2)\/(-6))\/((-2)\/(-102)) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2376, -2398, -2450, -2544, -2692, -2906?\n\"Answer: -2*y**3 - 3*y**2 + y - 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*x**3 - x**2 + 2 - 2*x + (27*x**2 + 45*x - 45*x)*(6*x - 8*x - 20*x) + 3*x**2 - 2*x**3 - 3*x**2 in the form h + i*x**3 + t*x + r*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/(-15) - -16)*(-9)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2156 and 61348.\nAnswer: 674828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9*z + 576 = 0. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*g + 5, -g - 81*l + 84*l + 5 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62597?\nAnswer: 62597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661 = 3*v - 1927. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -18. Calculate the remainder when 10 is divided by ((-10)\/j)\/(10\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -633 + 633. Suppose 11 = 3*p + 2*y, -5*y - 32 = -3*p + 14. Suppose 3*t + 4*j - 3 = 4, -5*t - 2*j + p = u. Solve h - t + 0 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08355299167191 and 0.06?\nAnswer: 0.14355299167191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g - 54*g + 121*g = 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from rdjdvdddsddrrj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -77, -109, -139, -167, -193, -217?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - 75*w**2 - 39*w + 39. What is n(38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/288 and -29\/2770160?\nAnswer: 49862880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 11*h**2 - 25*h + 12. Is v(-12) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11278 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 104*o**2 + 5259*o + 2956. Give m(-50).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 706, 784, 852, 892, 886, 816?\n\"Answer: -3*b**3 + 13*b**2 + 60*b + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:29 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2330 divided by -12.\nAnswer: 1165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 3:53 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m. Let i = 7 + -6. Let l(r) = 1. Let f = 5 + -4. Give f*u(k) + i*l(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26284 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 = 15*w - 219 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -2*s**4\/3 - 7*s**3\/6 - 7*s**2\/2 - 26*s + 2. Let y(o) = -7*o**2 - 6*o - 6. Calculate 5*m(g) - 6*y(g).\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 - 3600138140534*u + 3600138140534*u.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(133)*3)\/sqrt(7) + -3*sqrt(2736)*-4)**2*-1.\nAnswer: -410571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-3) - 36\/2. Let a = s - -21. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 + 19.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 78. Let z = -11 - b. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -8, 1, -5, 4, -4 in descending order.\nAnswer: 4, 1, -4, -5, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8339 is divided by 8207.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let k(w) = -3*w. Let r(u) = -35*u. Let x(j) = 25*k(j) - 2*r(j). Determine x(l(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 120.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 25*k. Let g be (1 + -1 - 10)\/(-2). Suppose k = g*f - 14*f + 2052. List the prime factors of f.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632 - 21*m**3 - 628 + 138*m**3.\nAnswer: 117*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*n + 27, 4*n - 17*t = -19*t - 24. Let c be (3 - 3) + n - (-5 + -1). Let k be 4\/10*5\/11. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16\/j*j)\/j**(4\/13) assuming j is positive.\nAnswer: j**(204\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1253 - -1258. What is the smallest value in 1, y, 343?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 1\/(2 + -1). Suppose -2*o + 236 + b = -4*k, 4*o + 4*k = 468. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.7 + -13. Sort 2\/5, -0.1, z in increasing order.\nAnswer: z, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l**2 - 4*l - 5. Determine m(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269928 is divided by 244.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:56 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 6:51 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*a + 84*a - 131 + 639 to f + v*a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 24647480?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-89)\/1068*-2*2*51\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69701494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2 + 5. Solve o = -a*m + 2*o + 10, 4*m = -o + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + -2 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/120 + n**5\/60 - n**4\/24 - 5*n**3\/6 + 7*n**2. Calculate f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863, 908, 939, 950, 935, 888?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97\/2 in 4, 9, -2\/17, 3\/7, 3.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + 3 + -1. Which is the smallest value? (a) f (b) 2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 3, t: 6, h: 4}. What is prob of sequence qh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4376, 4380, 4400, 4442, 4512, 4616, 4760, 4950?\n\"Answer: m**3 + 2*m**2 - 9*m + 4382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 265 = -78*q + 931 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 - 74. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264 + 270. Solve -9 - 15 = n*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*l = -21, 0*z + 6 = 4*z - 3*l. Let i be (-30)\/(-75) + -30 + 0. Let g = i - -30. Which is the biggest value? (a) 0.5 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3528580, 3528630, 3528722, 3528862, 3529056?\nAnswer: 3529310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**3 - 2*y**3 + 5*y**3)*(-8*y + 2*y - y) + 13*y**2 + 8*y**4 - 4*y**2 - 10*y**4 as l + o*y**3 + p*y + i*y**2 + v*y**4 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8722281.9 to the nearest 10000.\nAnswer: -8720000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -38. Let o(w) = -27*w. Let n(v) = -6*v - 2. Let t be n(-1). Let s(d) = 7*d. Give i*s(b) + t*o(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -5 in decreasing order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 1. Let d = 81 + -15. Let z = -59 + d. Calculate c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 7697.\nAnswer: -769.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 7, y: 6, r: 4}. What is prob of sequence rl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -3 (c) -4 (d) 2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13499*x**3 + 2*x**2 + 3*x - 8749219?\nAnswer: 40497*x**2 + 4*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (213\/(-113316))\/((-6)\/(-48))?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/24 - 6*i**2. Let n(r) be the second derivative of 13*r**3\/6 - 8*r. What is c(n(b))?\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*p + p. Let c = 12 + p. Is c > 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1082, -1357, -1612, -1841, -2038?\n\"Answer: s**3 + 4*s**2 - 294*s - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/7980 and -97\/1596.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63623\/671*1650\/1050?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen tenths of a kilogram?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3\/2 - 249*u**2 - 1005*u\/2 - 252 = 0. What is u?\nAnswer: -1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/18)\/(1600\/640)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9868, -9867, -9866, -9865, -9864, -9863?\n\"Answer: a - 9869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -3\/8 (c) 38\/13 (d) -0.5 (e) -1\/184\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 139230.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 7*v + 2. Let j be m(7). Let s = 3 - j. List the prime factors of -2 + s - (-30)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/182 and 61\/16361604.\nAnswer: 212700852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 7. Let s be l(4). Let t be s + -5 + (5 - -2). Solve 5*o = t*p - 12, -3*o + 0*p + 12 = 3*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 77. Let g = 8 - 8. Does 22 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/30*808\/6. Let z = w - 195. Solve -4*o + o + 2*i = -9, -3*i - z = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 989 and 1127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -0.1, 0.2, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -1270869748.\nAnswer: -1270869747.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*q**2 + 3*f**2*q + 21291*f**2 + 6*f*q**2 + 980*q**2 wrt f?\nAnswer: 4*q**2 + 6*q + 42582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 = 58*w + 114 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6774*p**3 - 4*p**2 + 115*p + 3.\nAnswer: -40644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, 1\/2, 0.4, -237, 4\/23, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(4\/(-8)). Sort -3, c, -7 in ascending order.\nAnswer: -7, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3501 = -3447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -18*a**2. Let y(s) = -6*s**2 + 5*s + 5. Let z(w) = -w**2 + w + 1. Let t(j) = 2*y(j) - 10*z(j). Determine t(n(f)).\nAnswer: -648*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/4 (b) -0.2 (c) -21\/2 (d) 175 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/65 - ((-2)\/(-52))\/((-35)\/7708750)?\nAnswer: 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 + 18384*b + 21123216 = 0 for b.\nAnswer: -2298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -57. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -88*m. Let q(t) = 166*t - 16. Let g(u) = -31*u + 3. Let a(h) = 16*g(h) + 3*q(h). Calculate d(a(w)).\nAnswer: -176*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 4121.\nAnswer: 4121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z + g - 11, -5 = z - 4*g. Find the first derivative of 7*i**4 + 4*i**z - 4*i**3 + i**4 - 7 wrt i.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j - 3. Let y be u(-1). Let p(k) = -13*k**3 + 5*k + 4*k + 15*k**2 + 14*k**3 + 35 + y*k. What is the remainder when 184 is divided by p(-14)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4 + (1 - 0). Let z(a) be the third derivative of a**4\/6 - 7*a**3\/6 - 4*a**2. List the prime factors of z(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 7. Let k be u(7). Suppose k = -3*f - 24 + 45. What is the least common multiple of f and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1458217, -1458218, -1458219?\nAnswer: -1458220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -335, -744, -1317?\nAnswer: -2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 497 - 497.5. Let z = -321 + 318. Sort v, 0.4, z, 4 in decreasing order.\nAnswer: 4, 0.4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -v + 3*l, 4*v - 4*l - 10 = 7*v. Let u = -418\/7 - -60. Which is the nearest to u? (a) -2\/9 (b) v (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -656 < 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25\/3, 0.3, 5, 950\/7.\nAnswer: -25\/3, 0.3, 2, 5, 950\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -4 + -1 + 9. Solve 58 = -8*w - r for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*p + 1 + 2 - 3.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -910, -1371, -1832, -2293?\nAnswer: -2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - q = 9, 3*u + 3*q = 7*u - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 38. Suppose 10*a + 75 = n*a. Let u be (-82)\/(-10) + 5\/a. Solve u*o = 3*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 240868105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5175 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.4. Let s = y + 0.4. Let r = -0.1 + s. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -146, -237, -346, -479, -642, -841?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23932 and 2603956?\nAnswer: 80722636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + 4*(-1 + 1 + sqrt(3))**2).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) - (4*sqrt(637) - sqrt(637) - sqrt(637))))*-6 + -5 + -2 + sqrt(637))**2 + 1*((1*(sqrt(637) + 1) - sqrt(637)) + 0)**2.\nAnswer: 1078*sqrt(13) + 77127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-77) + 33\/7. Suppose 3*p - 86 = -d*u, 0*p = 4*u - 4*p - 56. Is u at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-396))\/(64\/(-15) - -4)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15116.999992721 + -15117. Round c to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2, -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 9. Let v be l(-6). Let x be (2\/(-15))\/(v\/(-9)). Let t = 2 - 1. What is the smallest value in -0.4, x, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/5 - 11\/5*r**2 - 18\/5*r.\nAnswer: -(r + 1)*(11*r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:33 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(125)) + -5)*3)**2.\nAnswer: 5940*sqrt(5) + 41589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 127 + 11 = 0. Let n = q - 34. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 554 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (23 - (-7067)\/(-296)) + -1 + (-11)\/(-8). Let r = 6 - 19. What is the closest to q in 1\/2, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(28)\/(sqrt(21)\/sqrt(3))) + ((sqrt(8)\/sqrt(2))\/sqrt(2) - sqrt(2) - sqrt(2)) + sqrt(2) + (sqrt(2) + 0)*-3.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -4, 4.1, -23, -6\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-4)\/(-3)*(-18)\/(-168)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1538 - 1030. Let a = t - 334. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111850 or -111847?\nAnswer: -111847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y. Let o(q) = q**2 - 3*q. Let l(t) = 2*t**2 - 5*t. Let b(w) = 3*l(w) - 5*o(w). Determine b(z(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + 5*k**2 + 21*k + 5. Let j be u(-2). Solve 62 = -11*p + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3945, 3906, 3809, 3624, 3321, 2870?\n\"Answer: -5*b**3 + b**2 - 7*b + 3956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3367568*n + 3887530.\nAnswer: 3367568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15064 and 4.\nAnswer: 15064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let d(c) = 4*c**2 + 58*c. Calculate i(d(l)).\nAnswer: -4*l**2 - 58*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3*k - 4*k)*(4*k - 2*k + 2*k)*(1 - 1 + 2).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**3 + 2*i**2 - 2. Let j be f(-1). What is the highest common factor of j and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*p**3*q - 7*p**2*q**2 - p*q + q**2 + 64 wrt p?\nAnswer: -78*p*q - 14*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/12 + 22\/8. Suppose -w = -3*x + x + 21, -80 = -5*x - k*w. Suppose -33 + x = -4*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-2))\/(2\/(-4)))\/(5563\/122386)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 37 - (-6 - 0)) + -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 19*n + 31*n - 3 - 15*n in the form x*n**3 + h + o*n**2 + g*n and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 5*p + 1901 - 841 - 938, -3*l - 5*p - 131 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 91\/4) + 7\/(-28). Let f be (-4)\/z + (-22)\/143. Solve -4*d = j + j + 8, f = -j - 5*d - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 - 4696 = -7*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - -0.2. Suppose 0*i - i = 12. Let t be 4\/42*(-28)\/i. Which is the second smallest value? (a) t (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 116 = -3*n, 2*n - 7*n = -5*t - 180. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5026 = 449*t - 90*t. Solve t*s = 24*s + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((39 + 54 - 27)*(-2*l - 5*l + 6*l)*(-l + 0 + 0) - 3*l**2 + 2*l**2 + 3*l**2)*(2*l**3 - l**3 - 2*l**3).\nAnswer: -68*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -3, 5, 1910 in descending order.\nAnswer: 1910, 5, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136118940 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -31. Let p = u - -31. Calculate the highest common divisor of 64 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(2 - 3) + 25. Suppose -5*g = 3*x - 19 - 15, x = -5*g + n. Suppose 10479 = x*o - 0*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018084439?\nAnswer: 89, 11439151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13871277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022861677 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + -1. Let q = -34 - y. Suppose -4*k = k - q. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1317036206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7344 and 0.2.\nAnswer: 0.14688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 - 10 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4079 is divided by 2037.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/9))**(1\/3))**(-13\/2))**(2\/21) assuming b is positive.\nAnswer: b**(-13\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.449 + 2.59. Let b = -1025 - -1025.649. Let v = n + b. Round v to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 170*j**3 - 2*j**2 + 2*j. Let t be d(2). Suppose -6*b = -t + 402. Suppose -5*w = -10, -2*c + b = -c - w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.66591mm to meters.\nAnswer: 0.00566591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41407 times 2.8?\nAnswer: 115939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698248, -698233, -698218?\nAnswer: -698203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -716 (b) 0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -37 + 25. What is the tens digit of 59*2*m\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-5)*200\/480*-3*2\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 3. Suppose d - 20 = 4*j, 0 = -d + 2*d - f*j - 16. Suppose -d*z + 255 = z. Calculate the highest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*y - 337*y + 736*y = -858*y - 7688 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5738349 (base 10) to base 13\nAnswer: 125bb96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4671 + 14156. What are the prime factors of i?\nAnswer: 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 7:29 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4503 and -22\/80769.\nAnswer: 6380751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.617 + -7.213. Let p = -43 - b. Let z = -0.146 - p. What is z rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(25\/(-6)))\/((-11318)\/(-311245))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbwbbbbbbbwxxwbbb. Give prob of picking 2 b.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s)\/((s*s\/(s*s\/(s*s**(-5\/2))*s)*s*s)\/s) assuming s is positive.\nAnswer: s**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5631 = -39*y - 70*y + 13553. Let m be 1 + (177 - (2 + 0)). Is y >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (522 + 2973 + 4633)*(-2*n**3 + 4*n**3 + 0*n**3) in the form l*n**3 + k*n**2 + j*n + q and give l.\nAnswer: 16256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (9 + -8)\/((-1)\/(-10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12853*s - 12864*s + 2915. Solve 10 = s*y - 263*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 718 = 2*z + o, -o + 1806 = -5*z. Let c = z + 579. What are the prime factors of c?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 148*y + 1333. Let f be m(-9). Let b = 5018\/19 - 264. What is the nearest to f in -0.1, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 13*r**2 + 727*r - 7. Is k(-56) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 14*p**2 - 19*p + 473. Let c be v(13). Suppose 0*a + 2*a = 0. Let i(w) = w + 57. Let l be i(a). What is the greatest common factor of l and c?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144953021*-4.\nAnswer: 579812084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*5*(-2308)\/(-17310)*3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2095893192 to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3263, -3113, -2857, -2489, -2003, -1393, -653, 223?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 290509084 - 4?\nAnswer: 290509080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -190, -203, -232, -283, -362?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10010.\nAnswer: 2, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*r - 5 + 4 = 0, -19 = -3*b + 4*r. Find the third derivative of w**b + 4*w**5 + 33*w**2 + 2*w**3 - 6*w**5 + 25*w**2 wrt w.\nAnswer: -60*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 64\/81, 2\/21 in descending order.\nAnswer: 64\/81, 2\/21, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.18326 - 1.0074. What is v rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2522, -2536, -2652, -2948, -3502, -4392, -5696, -7492?\nAnswer: -9858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 = 5*a + 201. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Suppose -7*p + 10*p = -9. Let z be 2*(-21)\/(-10) - 3. Which is the closest to -1? (a) p (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 1 - (0 - -16799997). What is b rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6936 = -14*w + 7048. Solve w*k - 12 = 20*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 93*r + 124. Let y(l) = -1. Let j(w) = 139*w + 185. Let b(t) = -j(t) + y(t). Let x(a) = -5*b(a) - 8*g(a). Is x(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.31 + -0.9. Let i = 0.410007 - u. Round i to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 2*t - 54 = 0, -2*t = 3*y + 86. Let g(n) = n**2 + 32*n - 18. Let s be g(y). Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15576136 - 60.75834.\nAnswer: -15576196.75834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24394961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5291.381 nanometers?\nAnswer: 0.000000005291381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5807\/(-2))\/((-30)\/(-4)). Let r = -387 - z. Is -3\/5 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -9, -0.1, -1\/4, 2\/15, 5 in increasing order.\nAnswer: -9, -1\/4, -0.1, 2\/15, 0.14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {o: 3, p: 10, l: 2, h: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 139 = 3*j, 5*j + 147 = 5*w - 88. Let m be 1 - (-7)\/j*9. Sort 104, 1\/3, m in decreasing order.\nAnswer: 104, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/84 - (-12)\/(-672)*-4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-15)*(-99)\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:07 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 19*i + 61. Calculate w(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 56, 155, 344, 653?\n\"Answer: 5*d**3 + 4*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(12\/(-32))\/(12\/(-48)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136971)\/89)\/(-171)*(-40)\/(-36)*(-12)\/(-65).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 154\/8 + (-8)\/32. Suppose 0 = -3*u - 5*r - d, 5*u + 4 + 3 = 4*r. Which is the smallest value? (a) u (b) -2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/4, -60, 0.06, 3?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5142 times -0.07?\nAnswer: 359.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-42)\/15))\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416292 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*b + 11736, 3*u = -3*b - 0*b - 11736. Is 44 a factor of u\/(-10) - (-120)\/150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/4 + 397*q**3\/3 + 535*q**2\/2 - 192. What is the second derivative of h(m) wrt m?\nAnswer: 6*m + 794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28*(663\/(-7854))\/(-13). Let s be -1 + (182\/62 - 2). Which is the nearest to 0.1? (a) -1 (b) r (c) 19 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Suppose p*f + 4*q - 12 = 0, -2*f - 2*q = 3*f - 18. What is the least common multiple of 3 and f*3*2\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 2*c + 4*c + 6 + (19 - 3 + 4)*(3 - 3 + 4*c)*(0 + 3 - 5).\nAnswer: -159*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704859 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 7, d: 1, r: 4, f: 6}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 10. Let y be h(1). Suppose 0 = 2*i + z - y, z - 2*z = 3*i - 11. Factor 2\/9*u**i + 2\/3 - 8\/9*u.\nAnswer: 2*(u - 3)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 224\/171?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2183, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 1 = 6*d + 3*m, 3*d = -2*m - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394 + 396. Let o = -0.02 - -0.12. Which is the closest to o? (a) 0.5 (b) -4\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104054310759 plus -0.0012?\nAnswer: -104054310759.0012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/71618256 and 49\/2943216.\nAnswer: 214854768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*f + 3 - 7*f**3 - 3)*(0*f - 6*f - 9*f)*(4*f + 0*f - 3*f).\nAnswer: 105*f**5 + 30*f**3 - 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = -0. Let g = 13 - 7. Suppose 2*j - 5*j + g = a*k, -3*k - 3*j = -3. What is the third biggest value in -5, 0, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3548369 - -1433220\nAnswer: 4981589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -465\/14?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 17684*s**3 - 105996*s**2 - 158940*s.\nAnswer: -4*s*(s + 3)**2*(s + 4415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -5697718.\nAnswer: 2279087.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40813 take away 0.04651?\nAnswer: 40812.95349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:49 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:55 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*z**2 - 14 + 14 - 2*z**5 + 3*z**2 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 2\/19, 62\/41, 3\/10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530b2 (base 12) in base 11?\nAnswer: -384881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5\/3 - 79*q**4\/3 + 1999*q**3\/3 - 4923*q**2 - 11952*q - 6336 = 0?\nAnswer: -1, 24, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*p**3*x**2 - 22*a**3*p**2*x + 2471*a**3*p*x**2 - 2*a**2*p**3 - 8*a*p*x wrt x?\nAnswer: 2*a**3*p**3 + 4942*a**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2738 and 24332606.\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172490754 and 20220?\nAnswer: 1724907540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 560, 1056?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3362 + -2185. Calculate the highest common factor of 22 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 54*f**2 - 32*f - 970. Is x(-47) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 13. Let a be o(5). What is the units digit of (-1)\/((-12)\/a)*5*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.42 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3027, 6000, 8959, 11904, 14835, 17752, 20655?\n\"Answer: -7*a**2 + 2994*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16810\/12915 + 8\/(-18)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/1127*26\/(-6). Let g = t + 16105\/966. Let z = -7053 + 70631\/10. Find the common denominator of z and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n - 522 = -10*n - 3327 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 2. Let i(x) = -x**3 - 28*x**2 - x - 31. Let r be i(-28). Calculate q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*c + 13707 = 13709, 153*m + c - 306 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3358 (b) -1\/9 (c) 1 (d) 3 (e) 3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x - 8. Let q(w) = -108*w + 328. Let z be q(3). Give h(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -4333*t**3\/6 + t**2\/2 - t. Let j be p(-3). What is j rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117380.\nAnswer: 2, 5, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -422 - -433. Let w(u) be the second derivative of u**5\/20 - 11*u**4\/12 + u**3\/3 - 23*u**2\/2 - 2*u. Let q be w(n). Which is bigger: 6\/31 or q?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 11:37 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104559137?\nAnswer: 6317, 491461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(208) + 0)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 2, x: 1, o: 1}. Give prob of picking 2 e and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 49 - -33 - (23 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 3*f**2 - f**2 + (15 + 20*f - 15)*((86 + 24*f - 86)*(-1 + 1 - 2) + 0*f - 4*f + 0*f) as s*f + a + h*f**2 and give h.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25292 is divided by 181?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*p + 20 - 280 = 0, 0 = -4*j - 2*p + 260. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*o*t**5 - 7*o*t**3 + 8*o*t**2 + 2*t**5 - 2*t**2 wrt t.\nAnswer: -780*o*t**2 - 42*o + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6773*w + 3388*w + 3388*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14150 or -14697?\nAnswer: -14697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**3 + 3*r**2 + 2*r + 3. Let n(b) = 27*b**3 - 10*b**2 - 6*b - 10. Let m(t) = -7*h(t) - 2*n(t). What is m(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-28))\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 60 - 36 = 0. Solve p + 21 = 5*q, q + 4*p = -3*q + y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63188+-0.045918142\nAnswer: 63187.954081858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505009480?\nAnswer: 2, 5, 17, 29, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20653504 divided by -7871?\nAnswer: -2624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45232?\nAnswer: 2, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 218*y - 15277*y**3 - 15210*y**3 - 48*y**2 + 30563*y**3 - 214*y.\nAnswer: -4*y*(y - 18)*(y - 3)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/45)*c)\/c**(-2\/5) assuming c is positive.\nAnswer: c**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*z + 36, 3*z = -3*n + 2*n - 8. Sort z, 66, 39, -3.\nAnswer: z, -3, 39, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/2 - 844451*i**2\/2 + 178271417235*i\/2 + 1247941299087\/2 = 0?\nAnswer: -7, 422229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**4 - 2*q**3 - 2*q**2 - 2*q + 3. Let m(v) = -v**3 - v + 1. Let d(u) = -2*m(u) + o(u). Factor d(p).\nAnswer: (p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 85*c**2 - 165*c - 74. Let w be q(83). Solve 2*n - 8 = z, 7*n - 2*n - w = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -25*m + 21. Let z be c(3). Let g = z + 58. What is the nearest to -3 in 0.3, 0.4, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:27 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8457*-0.8\nAnswer: 6765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -598050 (base 10) to base 14\nAnswer: -117d3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.9659*1.\nAnswer: 20.9659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -362\/5 (b) -16 (c) -6\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*y**3 - 144*y**2 - 159*y - 54.\nAnswer: -3*(y + 1)*(y + 2)*(13*y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 12 + 12 + 3*f**2 as g*f**2 + h*f + k and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 - m + 437. Let u(t) = -t**2 - 12*t - 11. Let c be u(-1). Does 25 divide l(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 988\/(-38)*(-2)\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2062\nAnswer: 8248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 753\nAnswer: -1\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 6.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*f*l - b - 35*f + 85*l with respect to l.\nAnswer: b*f + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - s + 1. Let y(a) = -6*a + 4. Let q(b) = i(b) - y(b). Let n(v) = -3*v - 4*v**2 - v**3 - 9 + 6*v + 3 + 2*v**3. Let j be n(4). Determine q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18980773 and 14973?\nAnswer: 56942319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvxfxdvxxdv. Give prob of sequence vfv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 402665 - -4999334.\nAnswer: 5401999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)*y)\/y**4)**(1\/16) assuming y is positive.\nAnswer: y**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**8\/21 + 26*p**7\/105 + 11*p**6\/30 + 2*p**5\/15 - 652*p**2. Let w(t) = 0. Calculate t.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.00852 (b) -0.3 (c) -3\/31 (d) 0.3 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*q = -273*q + 24. Let d(v) = 2*v**2 - v - 1. Let u be d(-1). Calculate the highest common factor of u and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + 1 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 11:47 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 81796841 = 81796841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/4284*6\/((-2)\/2)*56\/14.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 265*z + 265*z + 3*z**2 as n*z**2 + o + h*z and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 555 (b) -2.6 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/37103?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 a factor of 77453502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 257*p - 11. Let k(i) = 253*i - 16. Determine -7*c(u) + 6*k(u).\nAnswer: -281*u - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, 18, -10 in ascending order.\nAnswer: -10, -1, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100100000101110000 - -101001101?\nAnswer: -111100100000000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2124 + 2125 = h - 3*v, -v = -h + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4156917, 8313835, 12470753, 16627671, 20784589?\n\"Answer: 4156918*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.78 + 0.22. What is the third smallest value in 11, -0.2, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 4*x + 2*s - 1292, -3*x + 849 = 3*s. Does 47 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/30)\/((-4)\/20). Let p(r) = 7*r**2 + 4 + 0*r**g - 3 + r**3 + r - 4. Does 7 divide p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -219*z + 221*z - 10, 0 = -2*d - 3*z - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279681526?\nAnswer: 2, 1789, 78167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + (-8 - 0) - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1611.075 and 2806547?\nAnswer: 2808158.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(3*(-5)\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:56 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 3. Solve -4*q - g*p = -20, q + p - 5 = 5*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -131c?\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 10*u**2 + 2*u - 13. Let o be y(10). Suppose 0 = o*c + 3 - 17. Solve 0 = 2*h + 2 + c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/363 (b) -1\/14 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(33))\/sqrt(11) - (sqrt(108) + -1*sqrt(108))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28185581.\nAnswer: 97, 277, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 + 2*w - 1. Let j(a) = 19*a**3 - 85*a**2 - 6*a + 6. Determine j(o) + 3*y(o).\nAnswer: 4*o**3 - 85*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-40)\/25 + 104\/(-235). Let j be (-6)\/(-2 + -4)*(1 + -1). Is j greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51, -473, -1123, -2001?\n\"Answer: -114*q**2 - 80*q + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*p + 320, -5*p = 2*c - 10*p - 160. Suppose 0 = w + 3*w - c. Calculate the smallest common multiple of 12 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492538.6 millennia in decades?\nAnswer: 49253860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*t + 19*t. Let j**3 - 33*j**3 + 34*j**3 - 4*j**t = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -1173*u + 1172*u. Solve 0 = -41*r + u*r + 72 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33628612 divided by -4.\nAnswer: 8407153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from mxxmxmmmxmxx?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.037 (b) -0.3 (c) -1 (d) 1 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q = -103*q + 4*f + 6448, -q + 2*f = -1280. What is the highest common factor of 56 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1630446850 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 399*b**2 - 15189*b + 122793.\nAnswer: -3*(b - 61)**2*(b - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 14*b**2 + 9*b - 16. Let t(z) = -z**3 + 2*z**2 - 2. Let k(i) = -r(i) - 2*t(i). What is k(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8652.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 55341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 22. Suppose 4*f = -2 + 6. Suppose 3*d - p = f. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -2)*(-1)\/(-9)*6. Let c(z) = 11*z**2 + z - 7. What are the prime factors of c(r)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391200690 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q - 12. Let r(f) = 17*f - 20. Let h(w) = -5*p(w) + 3*r(w). Let b(v) = -24*v. Determine -6*b(d) - 132*h(d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(-1 + (sqrt(117) + (sqrt(117) - (sqrt(117) + 0)) + sqrt(117) - sqrt(117))**2) - (3 + (sqrt(117) + -1 + -2)*-3).\nAnswer: -244 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*d - 60, 3*d - 29 - 31 = 5*u. Suppose -6*y + d = -y. Solve -5*k - 25 = -3*j, -5 = y*k + 5*j + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 6*(sqrt(17) + (sqrt(272))**2)) + sqrt(187)\/(-3*sqrt(11)) - (0 + (((sqrt(17)*2)**2 - sqrt(17))*-6 - (sqrt(17)*1 + 4))).\nAnswer: -1220 - 31*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 23040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 1295 = 27*u. Let d = -175 - u. Calculate the remainder when 67 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15539338, 31078669, 46618002, 62157337, 77696674, 93236013, 108775354?\n\"Answer: y**2 + 15539328*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by (-9)\/((-297)\/(-110))*(-6 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/20 - 73\/((-14235)\/(-156)). Factor 0 - 3\/4*u + y*u**2 - 3\/4*u**3.\nAnswer: -3*u*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10285 and 550?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*d + 31 = 0, -5*n + 4*d - 10 = -10*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371844084 by 92961021.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 91925\/(((-120)\/15)\/(-32)). What is w rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 33*v + 49. Let d be b(-3). Calculate the common denominator of 2*33\/(-10)*d\/168 and 85\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + (-22)\/(-4). Suppose 2*v - o + 10 = 0. Let l = v + 3. Solve -5*n + 2*n = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 10, 0.05, 106 in increasing order.\nAnswer: -54, 0.05, 10, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 179.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1040715685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 217*b + 25*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -17. Let f = 73 - 71. Calculate the lowest common multiple of f and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 19, -34?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3478784 is divided by 3025?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2736) + -3*(sqrt(19) + sqrt(19) + 2).\nAnswer: -7 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 5) to base 16\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010100 + 111010010000?\nAnswer: 111110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + 2*b**2 + 4*b + 2. Let f be z(-2). Suppose 3*c = c + f. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4 - 54*c**3 - 96*c**2 = 0. Calculate c.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*h + 5*h. Differentiate 0 - 4*y**h + 0 + 5*y**4 - 1 with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 42. Let w = -91 + 213. Let o = w - q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -6\/7369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16\/10*3*35\/(-42)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899133859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 5)\/((-2)\/(-5)). Suppose 4*k + 0*k + m = 0, 4*s + 3*k + 19 = 0. Let y(b) = b. Let d(o) = 4*o + 1. Let w(x) = s*d(x) - 2*y(x). What is w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2314410 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y. Let c(j) = j**3 + 4*j**2 - 3. Let n be c(-3). Let d(b) = 0 + n - 6 + b**2. Calculate m(d(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 656777 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-1)\/(-2) + 621. Let i = a - 410. Is (2 - 0)*i\/19 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11735 times 0.06?\nAnswer: -704.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2154*v**2 + 29*v - 2352726 wrt v.\nAnswer: -4308*v + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*w**4 - 48*w**2 + 514*w wrt w?\nAnswer: 60*w**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, 0.5, 1616, 1, -9, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22692 = 448*h + 6285 - 305 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8409 and 26.\nAnswer: -73.8634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/20 - (-1)\/2. Let w(j) = -j**3 - 9*j**2 - 9*j - 11. Suppose -5*d + 3*d = 16. Let v be w(d). What is the nearest to -2\/5 in 0.3, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 13, -1, 846, 7, 3 in descending order.\nAnswer: 846, 13, 7, 3, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2 - 22*v + 34. Calculate d(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1142*g**2 + 662*g**2 + 8*g + 750*g**2 in the form f + s*g + x*g**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 315, 323, 353, 417, 527, 695?\n\"Answer: 2*o**3 - o**2 - 3*o + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20107.6406 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(3*h - 5*h - h**3 + 0*h).\nAnswer: -4*h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40202324 - -5?\nAnswer: 40202333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 5*x - 12*x = 80*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + 29. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -112\/51 (b) 0.16 (c) 1 (d) -16 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 1. Let g be t(-3). Let s be (6\/(-35))\/(g\/(-20)). Which is the nearest to 0.1? (a) -2\/7 (b) -1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -8 + 4 + 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -896168 from 0.3.\nAnswer: 896168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 - -116. Calculate the remainder when c is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 14, 240, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351286, 702584, 1053882, 1405180?\nAnswer: 1756478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 4*r**2 - 6*r + 4. Let o be f(5). Let k be (-5)\/o*16\/10. Suppose -10*q + k*q = -468. What is the highest common factor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 564003 + 14?\nAnswer: 564017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.701 take away 233.71?\nAnswer: -241.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*u - 2*a, 0*a - 3 = 3*a. Solve 2*n - 4*w - u = 0, -2*n + 5*w - 1 + 8 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:54 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/52*-2)\/((-2)\/((-8)\/(-3))). Let h(t) = -13*t**2 - 4*t + 1. Give h(v).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*y + 6, -3*y - 913 + 907 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 10*q - 5. Let c be d(10). Let v be (-1858)\/(-36) + c\/10. Let z = -52 + v. What is the common denominator of z and 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -503.2 - -503. What is the nearest to -0.1 in k, 5, -4, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 1231807?\nAnswer: 1231806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*c - 38. Let z(o) = -82*o**5 - 177*o. Let m(i) = 41*i**5 + 89*i. Let b(t) = c*m(t) - 3*z(t). What is the second derivative of b(l) wrt l?\nAnswer: 820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 116, 111, 22, -181, -528, -1049, -1774?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, w: 3, o: 2, z: 2, d: 1}. Give prob of sequence zzo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001267 rounded to 7 dps?\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.17 - -1.129. Let t = a - -0.201. What is the biggest value in t, -1\/2, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbv when three letters picked without replacement from ygbvivggvgfifgi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, 2, 3288, 0.1, -5\/6 in ascending order.\nAnswer: -5, -2, -5\/6, 0, 0.1, 2, 3288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1553405 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + 5*g**4 + 6*g**2)*(1 - 1 - 5)*(-34 - 42 + 89).\nAnswer: -325*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13334314 (base 7) to base 8.\nAnswer: 4555274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -49022 at least as big as -49618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 483 (c) -0.05 (d) 0.4 (e) -7 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 5*h - 4*h)*((2*h - 2*h - h)*(4 - 2 - 3) - 2*h - 4*h + 4*h + 0*h + h + 3*h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - r**4\/4 - r**3\/2 + 63*r**2. Suppose 0*t + 24 = -t + 5*p, 4*p = -2*t + 8. Give k(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -42*y + 35*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 3 + 3)*(-2 + 4 - 1)*(2 - 3 + 3).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12*(-2)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 1\/3*a**3 - 1\/12*a**4 + 0*a + 4 - 1\/3*a**2. Suppose u(z) = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-18)\/(13 + -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*s = -389*s - 344210 - 595850. What are the prime factors of s?\nAnswer: 2, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s - 735. Let m(z) = 2*z + 36. Let a be m(16). Suppose -3*x + 47 = -5*u - a, 3*u = -3*x + s. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y - 1. Suppose -5*x - 54 = -59. Give v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)\/x)\/x)**6*x**(2\/5)\/x**(-2\/25) assuming x is positive.\nAnswer: x**(-738\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14359 (base 14) in base 3?\nAnswer: -2112200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-16)\/n)\/n**(-10\/9))\/(n**(-5)*n*n**(-1)) assuming n is positive.\nAnswer: n**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12882113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 less than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, x: 4, l: 2, v: 2}. What is prob of picking 2 v and 2 j?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.16. Let h = 2.12 - z. Let l = -48\/85 + -3\/85. What is the biggest value in l, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2. Let i(k) = 108 - 2*k**2 + 3*k**2 - 108. Determine i(j(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7661, -7341, -7021, -6701, -6381?\nAnswer: -6061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2 + 5)*-3)**2.\nAnswer: 720*sqrt(5) + 3105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c - 20, 75 = r + 2*c. Suppose 2*t + 3*t - r = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**1)**11*y*y**(3\/5)\/y*y*y\/y**(1\/5)*y)**41 assuming y is positive.\nAnswer: y**(9717\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.85526 hours in nanoseconds?\nAnswer: 287478936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 - -194. Let v be ((-8)\/j)\/2 + 3 + -12. Does -8 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 2*z**2 + 3*z - 6. Let v be d(4). Let g be 6*(v\/6 - 3). Solve -3*i = i - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -40\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*(-2*a**3 + 5*a**3 - a**3) + a**3 + 2*a**3 - 4*a**3 + 5882*a**2 - 5882*a**2 - 121*a**3 to the form v*a + c*a**2 + i*a**3 + s and give i.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from eeeeeedeedee?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l**2 + 2*l - 2. Let k be c(1). Let w be 9\/k + (-12)\/28. Solve -4*p + 12 = -4*a, w = -2*a + 3*p - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 8) in base 4?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11990, -11658, -11294, -10904, -10494?\nAnswer: -10070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 66. Let u = c - -42. Let x(i) = -2*i**2 + 15*i + 9. Let p be x(u). Solve -p = -5*y + y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(sqrt(26)\/sqrt(2)*-2 + 1*sqrt(13) + -3).\nAnswer: 30 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 689799502*t**5 + 40118558*t?\nAnswer: 13795990040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619*s = 176*s + 21264. Solve -c - 6 = -t, s*c - 47*c + 4*t = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1.236454?\nAnswer: 1.236454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 18 = -4*w - 65, 4*k - w - 377 = 0. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (84\/35)\/(1\/(-5)). Let c = z + 14. Differentiate -2 - 2 - 3*k + c*k with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2328\/(-194)*(-16)\/(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 920?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - w**2 + (-3*w**2 + 0*w**2 + w + 4*w**2)*(2 + 0 - 4)*(37 - 57 + 47).\nAnswer: -55*w**2 - 54*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 5:59 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 1, 3 in descending order.\nAnswer: 10, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -9 + -24 - -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 808982 and 8.\nAnswer: 3235928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:08 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838321755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = 0, 965*c - 964*c = -q + 6. Solve -3*u - 3*n + 9 = 0, -c*u + 10*u - 1 = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:52 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186348?\nAnswer: 2, 3, 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 44856 divided by -5\nAnswer: -44856\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 31113.09261 to the nearest one hundred.\nAnswer: 31100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 25*q**2. Let l(p) be the third derivative of 0 - 102*p**2 + 1\/12*p**4 + 0*p**3 + 0*p. What is t(l(n))?\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 16*c**2 - 137 + 256*c + 1\/3*c**3. Solve t(q) = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44 + 1 - (-1 - -2). Suppose 6*s + 17*s = 253. What is the highest common divisor of s and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 27*l + 20. What is r(-26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 217 - 241 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-483)\/(-12) - 6\/24. Let u = x - 36. Let y(q) be the second derivative of q**4\/12 - 2*q**3\/3 - 2*q**2 - q. What is y(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/5804 + -184259\/34824. What is the common denominator of w and (-1)\/2 - (-4)\/(-80)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - 0.1. Let v = 2.8 - 1.4. Let o = -1.5 + v. What is the biggest value in b, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 2938 = 2926 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 1, f: 1, b: 1, w: 2, x: 2}. What is prob of picking 1 b, 1 x, and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381585, -381596, -381621, -381666, -381737, -381840?\nAnswer: -381981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10725743.\nAnswer: 7, 1532249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 14. Let j(d) = -3 + 6 - d + 5 + 11. Let w be j(8). Let t be p(w). Solve -t*n - 2 = 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -163, -360, -635, -988, -1419, -1928?\nAnswer: -2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - b - 38*b**2 - b**4 + 40*b**2 + 3*b**3 to the form g*b**3 + c + r*b + w*b**2 + q*b**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21212, -20425, -19114, -17279, -14920, -12037, -8630?\n\"Answer: 262*w**2 + w - 21475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29406803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3316 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330217745.\nAnswer: 5, 11, 13, 461843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -549 + 508 + 4 + 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -50395.036 to the nearest ten.\nAnswer: -50400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(300) + 2 + (sqrt(300)*-2 + sqrt(300) - sqrt(300))) + (3*sqrt(300)*1 - (sqrt(300) + (sqrt(300) - -2*sqrt(300)))*2) + 4 + -4)**2.\nAnswer: -560*sqrt(3) + 14716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 732350 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 10*d = 30. What is the tens digit of d\/6*(4 - -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, m: 8}. Give prob of picking 4 m.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(30)\/(-1*sqrt(6)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*b + 384 = 57*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*f - 1375, 3*u = 4*f + 432 + 372. Let h = u - 21. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.1. Let m = 0.7 - 1. Which is the nearest to m? (a) -4\/5 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5 + -6 + (4 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 6*n**2 + n + 7*n**2 + 2*n**3 + 6*n - 35 - 7*n to d*n**2 + f*n**3 + m + i*n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*b**3 - 56*b**3 + 110*b**3 + 36*b**3.\nAnswer: 181*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3)*1\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46.67 and 3.5.\nAnswer: 50.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2 - 576*u + 1692 = 0.\nAnswer: 3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 - 4*s - 4. Let h(l) = 6 + 8*l + 2*l**2 - 6*l**2 - 11 - 13*l. Give 4*h(f) - 5*m(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-100)*(-44 - (314 + -348))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1294131501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 97. Let b = 133 + j. Suppose -173 = -2*f - 51. What is the remainder when f is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 + 3*n - 1. Let p be a(-4). Suppose 2*w = p*w - 17. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*((sqrt(125) - sqrt(125)*2*1 - (-3 + sqrt(125) + 1)) + 5 + -6*(1 + sqrt(125))))**2.\nAnswer: -1120*sqrt(5) + 32049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2459051329 to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -13*i**3\/3 + 6*i**2 + 18. What is the second derivative of u(g) wrt g?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 7 - ((3 - 14) + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1244691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n + 44. Let y(q) = 40*q + 266. Calculate 6*y(s) - 34*z(s).\nAnswer: 2*s + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*h + 17, 7*h - 11 = 2*t + 4*h. Let i = 1 - t. Suppose 2*m = i*m - 420. Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339 is divided by 265?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*q = -3*s - 5, -3*q + 12 = -3*s. Is (-34 + 1)\/(s + 0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {m: 5, k: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 843078 divided by -281026?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (500\/8 - -1)*-2. Suppose x = 2*x - u. List the prime factors of x.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0*y + 85*y**2 - y**3 + 1\/24*y**4 + 0. Suppose w = -2*w + 9. Determine s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 2, -3, 4, 20 in decreasing order.\nAnswer: 58, 20, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 9312577\nAnswer: 5\/9312577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(2*sqrt(8)*6).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2211\/(-1106) - (-4 - -2). Let k = i + 29851\/12166. Calculate the common denominator of -44 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 divided by -5.\nAnswer: -218\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/45)\/(1\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -36*s**3 - 15*s**2 + 15*s + 3. Let o(a) = -73*a**3 - 25*a**2 + 28*a + 5. Give -3*o(w) + 5*v(w).\nAnswer: 39*w**3 - 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -503\/6. Which is the nearest to -0.1? (a) 0.2 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*l**2 - 225*l**2 - 530*l**2 - 325*l**2 in the form v*l + p*l**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -13*t**6\/15 - 11*t**5\/20 + 1601*t**2\/2 + 888*t. Differentiate b(h) wrt h.\nAnswer: -104*h**3 - 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018952353 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 60000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:15 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22792.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 6*l - 720. Let f = -17 + l. Suppose -17*r = 9 - f. Solve -r*x + 1 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166 - -703. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaxaaaaaaaaaaaa. Give prob of sequence xx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zze. What is prob of sequence ze?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 5. Is ((-1)\/(-1))\/(j\/(-33)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 8154.9082195.\nAnswer: 8154.4082195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167569 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 71767 + 177873 = -98893. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 16 = c, 5 = 5*c + 5*n. Let h be (1\/6)\/(5 + c + 0). Determine w, given that 1\/3 + h*w - 1\/6*w**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113828 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 - 1 - (1569 + -1698).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*s - 19. Find the third derivative of 2*i - 4*i**2 + 6*i**6 - 2*i - s*i**6 wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (0 - -1) + -59 + 53\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1843 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*3*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 + -2.5. What is the third biggest value in -3\/5, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 1\/3*o**3 - 5*o + 2*o**2 - 3. Determine m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68.96 - 30. Round w to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68.36 and -46417.\nAnswer: -3173066.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187.\nAnswer: 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004575357 rounded to 7 dps?\nAnswer: 0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 1632?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:53 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:41 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/3)*h*((h\/h**(-2\/37))\/h)\/h assuming h is positive.\nAnswer: h**(43\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 25541732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 - 580260*q + 84175416900 = 0.\nAnswer: 290130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 1063161?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10903 - -54517\/5. Sort o, -3\/8, -2\/7, 0.06 in decreasing order.\nAnswer: o, 0.06, -2\/7, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-88) + 144\/(-1881).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 8:28 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -1392179940 in descending order.\nAnswer: 2, -1, -1392179940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14447.5 nanometers to kilometers.\nAnswer: 0.0000000144475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*b - 28 = 0, -1794*m + 896*m - 598 = -894*m - 54*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.375 - -31.075. Let h = 35 - p. Round h to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 - 229. Let x be (-3)\/(-1) - (-46)\/56*k. Which is bigger: x or 9.1?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35149288 less than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 5*s**2 + s - 9. Let h be y(-3). Let d(z) = -6*z**2 + 5*z - 6. Let u be d(-5). Let c = h - u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 28. Let q(t) = 3*t - 1. Let k be q(2). Suppose -4*n = 3*i - 15 - 3, 36 = k*n - 3*i. Calculate the remainder when j is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -243119*b**2 - 3*b + 17. Let m(x) = -x**2 + 2*x - 1. Let k(g) = 5*m(g) + y(g). Let h be k(-4). What is h rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + -2 + (1 - -5). Let o = 71\/126 + 23\/42. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -250*g. Let a be (-49 + 52)\/((-6)\/22). Let d(k) = 19*k - 11. Let q(h) = 7*h - 4. Let n(m) = a*q(m) + 4*d(m). Calculate j(n(o)).\nAnswer: 250*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 115*f**2 + 108*f - 907. What is v(-116)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**2 - 62*b + 184. Determine y(3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 13 = -j. What is the greatest common factor of j and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 7*b**2 + 7*b - 2. Calculate the least common multiple of s(6) and 1880\/28 - 304\/266.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104097, 208195, 312271, 416319, 520333, 624307, 728235, 832111?\nAnswer: 935929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -1133967?\nAnswer: -1133953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -14*i + 260. Calculate the remainder when i is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (1 + (0 + sqrt(605) - sqrt(605)))) + 2 + sqrt(605)*1 + sqrt(605))**2 - (1 + -1*((sqrt(45)*1)**2 + sqrt(45))).\nAnswer: 69*sqrt(5) + 5490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**7\/1260 + j**5\/60 - j**4\/8 + 2*j**2. Let g(k) be the second derivative of n(k). Differentiate g(l) wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = j + b - 4*b, -331 = -2*j + 3*b. Suppose 172 = 4*p + 4*r, 4*p = -0*r - 5*r + j. Suppose p + 120 = 5*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78213103, 78213117, 78213131?\nAnswer: 78213145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*h = -2, -7 = 5*d - h + 3. Sort 347, -5, d.\nAnswer: -5, d, 347","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + (-4)\/(-10). Let w = -24 - -29.5. Let d = 5 - w. What is the third smallest value in y, -1\/4, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 25995\/1174?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 10. Let y be u(4). Let o(n) = 107*n - 3. Is o(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1315)\/95 + (4 - -10).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r + 3. Let c(o) = -35*o + 20. Let s(v) = -3*c(v) + 20*z(v). Let m(i) = 197*i**2 - 200*i**2 + 26*i - 26*i. What is m(s(n))?\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12 + (15548910\/13)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 40 = -0*m. Let x(j) = -7*j - 4. Let d be x(-3). Let z = d + -10. Calculate the least common multiple of m and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621805 is divided by 11305?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -813444298463 and -6.\nAnswer: -813444298469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*g*l**2 + 317*g*l*y**2 + 22*g*y**3 - 6094*l**3*y**3 - 20*l**3*y**2 wrt y?\nAnswer: 132*g - 36564*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213103 - 3404?\nAnswer: 204144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9072, 19587, 30102, 40617, 51132?\n\"Answer: 10515*c - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2747, 2728, 2711, 2696, 2683, 2672, 2663?\n\"Answer: s**2 - 22*s + 2768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5174634 (base 8) in base 2?\nAnswer: -101001111100110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38.024 - 0.024. Let z = -1260 + 1262. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412612 divided by 7114?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 - 7*o**3 + 12*o**2 = 0. Calculate o.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1447004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 134*l**3 + 0 + 135*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u - 49*u = 3. Suppose 0 = -2*k + 10. Is u > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b + 4. Let k(g) = -1. Let c(v) = 10*k(v) + 2*s(v). Let w(x) = x. Let q(a) = -c(a) - 6*w(a). Let o be q(-3). Put o, -2, 5, 1 in descending order.\nAnswer: 5, 1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106717 divided by 99\nAnswer: -106717\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**4 + 6006*s**3 - 30*s**2 + 2771*s?\nAnswer: 96*s + 36036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 120*z = -123*z - 4, 0 = -2*t - 4*z - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 63 - 4*n + n + 0*n - 69. Let x(p) = -5*p - 12. Determine 7*o(z) - 4*x(z).\nAnswer: -z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d + 19*d**3 + 0*d - 18*d**3)*(-3*d - d + d) to b*d**2 + k*d**4 + v*d + j + i*d**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 - -205. Suppose -4 + q = 7*h. Is 224\/h - (-12)\/(-30) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 5, 2, 32, 2\/5, 0.\nAnswer: 0, 1\/13, 2\/5, 2, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 + 207446*r**2 + 414889*r + 207444 = 0. Calculate r.\nAnswer: -207444, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -10. Let h = 1 - g. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s**2)*(-5*s + s - 11*s) + (-6*s + 3*s + 0*s)*(s**2 + 2*s - 2*s).\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.17 + 4.83. Let p be ((-6)\/(-2))\/(-45)*8\/4. Is j at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 29*c - 48. Let o be (-756)\/56*((-1)\/3)\/((-1)\/(-6)). Give s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11209898?\nAnswer: 2, 7, 800707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**2 - 162*x + 9. Let v be s(27). Suppose 3*k = 5*w + k - 9, 30 = 5*w + 5*k. Suppose 2*z + w = v. Let f(t) = -t**3 + 6*t**2 - 4*t + 4. Give f(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:59 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*r - 79702929 - 37410879 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*m + 7*m**3 - m**3 + 5 + 1 + 0.\nAnswer: 6*m**3 - 453*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701352 = -389*j + 406*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 18522120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0*m - 7 + 1\/24*m**4 - m**2 + 27\/2*m**3 + 1\/20*m**5. Differentiate k(d) wrt d.\nAnswer: 6*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 2 - ((-1510)\/(-255) - 4). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*c**6*s**2 + c**6 + 5*c**2*s + 2*c*s**2 + 2*c wrt c.\nAnswer: 4800*c**3*s**2 + 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2925 - -137450601133?\nAnswer: 137450598208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1355 - 3188 = -11*f. Which is smaller: 414 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59762.69 litres?\nAnswer: 59762690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -124*d**2. Let r(m) = 4*m. Give r(n(g)).\nAnswer: -496*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -29*k + 168. Calculate v(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) -5 (c) -2\/21 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.73957nm in millimeters?\nAnswer: 0.00003873957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 16*d. Let o(b) = -26*b**2. What is v(o(u))?\nAnswer: -416*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074164251 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 - 4*y**2 + 12*y - 5. Let l(d) = 2*d**3 - d**2 + 4*d - 2. Let h(s) = 8*l(s) - 3*p(s). Calculate the remainder when 119 is divided by h(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h + 18. Calculate n(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, 17, 2\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, -3319, -6629, -9911, -13159, -16367, -19529, -22639?\n\"Answer: x**3 + 5*x**2 - 3354*x + 3361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 571.335 minutes in milliseconds?\nAnswer: 34280100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 - 2*g**5 - 3*g**5 + (-2*g**4 - 4*g**4 + 5*g**4)*(5*g + g - 4*g) + 2*g**5 + 25*g**5 + 5*g**5 - g**4 + 5*g**4 + 3*g**5 - 5*g**4.\nAnswer: 32*g**5 - g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*k**4 - 5*k**4 + 5*k**4 + (-2*k**2 + 4*k**2 - 3*k**2)*(-k**2 + 0*k**2 + 0*k**2).\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 19*f**2 - 49*f - 25. Let i be j(-21). Calculate the greatest common factor of 183 and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*g - 2*k, -4*k - 4 = 2*g + 26. What is the second biggest value in -2, -0.5, g, -7\/3, -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or 88679\/14?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 25*u**2 - 7*u - 5. Let n be (-2853)\/39 - (-4)\/26. Let x = n - -99. Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/2 + 49*z. Let t be 1 - (-5 - (-5 - 0)). Give s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-40))\/((-12)\/(-24)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12347284 divided by -52319\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25112 (base 6) in base 4?\nAnswer: 322010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2604 and 62?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-54)\/1)\/(9804\/(-703) - -14). Let f = 999 + p. Let k = -4.4 - -0.4. Which is the third biggest value? (a) f (b) -0.1 (c) 3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1171.7847\nAnswer: -4687.1388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*z**2 - 58*z**2 + 127*z**2 + 76*z**3.\nAnswer: 76*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from sbbsbsbssbsssbbbsb.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -12321?\nAnswer: 12324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12381042, -24762096, -37143154, -49524216, -61905282?\n\"Answer: -2*y**2 - 12381048*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/357280 and 16\/24563.\nAnswer: 3930080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, 6, 32, 58, 84?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*r + 178*r - 42*r - 45*r - 46*r - 159 to the form a*r + w and give w.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(66)*2*-6 + sqrt(66))\/(sqrt(539)*-1))\/(sqrt(3)*-1*6 - sqrt(12)\/sqrt(4)*-2))**2.\nAnswer: -1055\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 284488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)\/(4 + 0). Do y and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 = -44. Suppose -2*x - 5*h + 10 = -x, 0 = 5*x + 3*h - 28. Let t = w - x. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1812264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Suppose g - p*g - 9 = 0. Let s be 6\/9 - g\/9. Solve s = y - 0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 102866?\nAnswer: -102863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:59 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (10 + -16) - -42 - 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 0 = 5*l + 16, 0 = -5*l + 2*u - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -10*h + 340. Suppose 14*z = 190 + h. Solve -z*u + 18*u - 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 6, q: 2, j: 5, l: 2}. What is prob of sequence qlc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -e892?\nAnswer: -e88e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -7. Let d(o) = o + 1. Let p(k) = -3*k - 5. Let f(l) = n*p(l) - 6*d(l). What is the derivative of f(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 22*s**2 - 58\/5*s**3 - 54\/5*s + 2\/5*s**4.\nAnswer: 2*s*(s - 27)*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -305 + 211. Is w*1*(-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**5\/20 - j**4\/2 + 2*j**3\/3 - j**2\/2 - j. Let l be (20 - -2 - 30) + 13. Determine y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -2*p**3\/15 + 762*p**2\/5 + 1526*p\/5 - 680. Find d, given that c(d) = 0.\nAnswer: -1, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 8020*n**2 - 260612*n + 252588.\nAnswer: 4*(n - 31)*(n - 1)*(n + 2037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a - 3*a**3 + 5*a**2 + 3*a**2 + 2*a**3 - 7 - 4*a**2. Determine v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230759 divided by 5319\nAnswer: 230759\/5319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3257*o**5 - 6078*o wrt o?\nAnswer: 65140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2383.664nm to kilometers.\nAnswer: 0.000000002383664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -8. Suppose o = -3*t + 2*t. Is 2*1*(-33)\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Suppose -5*l - 28 = -o*i, 0*i = -4*i + 2*l + 28. Let c = -21 + 40. What is the remainder when c is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 9*o - 21. Suppose 6 = o*c, -2*c = -z + 172 - 45. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332650576837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 6 - (-17 - -13) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -5)\/((20\/6)\/5). Solve -20 = 4*q - 4*d, q - 5 = -w*d + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 122, 193, 270, 353, 442, 537?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 183781469*g**2. Let t(b) = 3*b**2. Give j(t(x)).\nAnswer: 1654033221*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/2*((-18056)\/444)\/(-122)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 209 and 114?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 76\/5 of a decade?\nAnswer: 1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01570837 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p + 235*p + 34238 = -170*p - 194*p for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-630)\/120)\/(4\/((-448)\/(-98)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35900 + 35899.9. What is the closest to s in 4, -0.5, 1, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/3*69\/115*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349167?\nAnswer: 3, 7, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6338, -25334, -56992, -101312, -158294, -227938?\nAnswer: -310244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 16939 - 16779 = -15*j - 17*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*w = -154*w - 606. Let z = w + -263. What is the highest common factor of z and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2332.478 millennia?\nAnswer: 233247.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(25) - (sqrt(25) + sqrt(175)\/sqrt(7))))\/(2*sqrt(125)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**27\/i*i**(-32)*(((i*i*i*i**8)\/i*i)\/i*i)**(-45) assuming i is positive.\nAnswer: i**(-501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*r - 53 = 19, 15 = -5*r. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 5*h**2 + 2*h**2 + (-3*h + h + 3*h)*(2*h + 1153 - 3258 - 4786).\nAnswer: h**2 - 6891*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z**2\/5 - 996*z\/5 + 1476\/5.\nAnswer: 4*(z - 123)*(2*z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1)**(-1\/27)*(q\/q**(2\/19))**23 assuming q is positive.\nAnswer: q**(10519\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -91*c. Let l(m) = 120*m + 27. Let y(h) = 9*h + 2. Let j(z) = 2*l(z) - 27*y(z). Determine q(j(g)).\nAnswer: 273*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 59787000 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0.11, -0.022, 3, 10, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*w - 60 = 0, 5*w + 67 + 38 = -2*m. Let x = -33 - m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89217 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3420 + -132112?\nAnswer: -135532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 12*w + 140. Let h = w - -22. Suppose -l = -2*l - k + 183, -h*l + 4*k = -390. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b009c (base 13) in base 7?\nAnswer: 2446220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 5274?\nAnswer: 5274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 190137086821?\nAnswer: -190137086820.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**2 - 14*a + 1. Let w be i(10). Let l = w + 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -0.48 (b) 13 (c) 1\/21 (d) 2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)\/l)\/((l\/(l*l**(1\/2)*l)*l)\/l)*l*((l\/l**(-2\/25))\/l)\/l*(l\/(l\/(l*l**(-1\/4))))\/l assuming l is positive.\nAnswer: l**(73\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 2*h**2 + 4. Let i(z) = -6*z**3 + 5*z**2 + 13. Calculate -3*i(t) + 8*m(t).\nAnswer: 2*t**3 + t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2872301 + 761160973\/265. Let q = -19\/53 + s. Suppose 33\/5*z**2 + 0 - 12\/5*z - q*z**3 = 0. Calculate z.\nAnswer: 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 151.\nAnswer: -19.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from {v: 1, y: 3, j: 6, r: 5, p: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2, 0.2, -495, -0.4, 14.\nAnswer: -495, -0.4, -2\/7, 0.2, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.7 + -7.4. Let z = 5 - x. Is z != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -2 + 1)*2. Suppose -c*u - 4 = -6*u, -44 = -4*l + 4*u. Calculate the lowest common multiple of l and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5 and 53\/125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32776 (base 8) to base 11.\nAnswer: -a426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -21*y - 2. Let k(c) = -13*c**2 - 1. Determine k(r(p)).\nAnswer: -5733*p**2 - 1092*p - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(5*m + 2 - 4 - 2).\nAnswer: 5*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u - 16*u - 41*u - 21*u as p + l*u and give l.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from hcgzn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 - 2*j**2 + 7. Let i(m) = -2*m + 1. Let z(p) = 2*i(p) - l(p). Let o(n) = n**3 + n**2 - n - 1. What is 4*o(d) - z(d)?\nAnswer: d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.70624 to one decimal place.\nAnswer: -39.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7) + (-2455 - -2499)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -217*q + 4152*q**4 - 34*q - 2*q**3 + q**2 - 4769*q**4 wrt q?\nAnswer: -14808*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -61. Let w = 20 + k. Solve w = 5*t + 7 + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**5 - 3*u**4 + 7*u**3 + 48*u**2 + 3*u - 2. Let b(f) = -f**5 - f**4 + f. Let k(z) = 3*b(z) - t(z). What is the third derivative of k(q) wrt q?\nAnswer: 180*q**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1))\/(-7 + 6). What is the common denominator of (p - -1) + 378\/(-12) and -151\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96955*s + 104*s**2 + 96955*s + 130*s**2.\nAnswer: 234*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -41141 greater than -41139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17838 is divided by 249.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*((sqrt(3) - (-3 + sqrt(147))) + sqrt(15)\/sqrt(5)*4))**2.\nAnswer: -32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (5 + -4 + 23) - -10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -341\/3 (c) -2\/15 (d) -1\/6 (e) -1\/8 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x. Let v(n) be the second derivative of n**5\/20 - 13*n**3\/6 + 6*n. Let q(b) be the second derivative of v(b). Calculate q(f(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3555*b**3 + 2*b**2 - 274*b - 555. Let m be r(-2). Calculate the highest common factor of 119 and m.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let o(m) = 15*m + 5. Let x(i) = o(i) + 10*v(i). Find the first derivative of x(p) wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13b + 0?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/63 + (-705)\/(-225)*(-2)\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 4 (c) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5 - 60*h**4 - 622*h**3 - 2556*h**2 - 2376*h + 5616.\nAnswer: -2*(h - 1)*(h + 6)**3*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 11*i**2 - 5*i - 8. Calculate v(5).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0, -7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + -1*sqrt(84) + sqrt(84) - sqrt(84))*4)*-2)\/((sqrt(12) + (sqrt(48) - sqrt(144)\/sqrt(3)) + sqrt(48) + sqrt(48))*-3).\nAnswer: 2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9916 and 169417339.\nAnswer: 2479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*l = 125, 5*f + 4*l = -0*l - 116. Let z = f - -94. What is the common denominator of z\/4*(-18)\/20 and -119\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000512795061 to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/5 - 891*g**3\/5 + 892*g**2\/5 = 0.\nAnswer: -892, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 548, 2181, 4934, 8813, 13824, 19973?\nAnswer: 27266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 y when three letters picked without replacement from uytttuty.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3337 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/4*(-3)\/9*174\/203?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 476256 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 40*q - 1812. Determine p(46).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/7)\/(-4)*(414575\/(-75))\/(-103)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(2*l + 2*l + 8 - 6*l).\nAnswer: -4*l + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 27 - 23 = 0. Let l(a) be the first derivative of 3 + 5*a + 1\/2*a**k + 2\/3*a**3. Let y(c) = -5*c**2 - 3*c - 11. Give -7*l(z) - 3*y(z).\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -6.33 in descending order.\nAnswer: 4, -3, -6.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/16 - 2\/(-2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)*b**(-4\/9)*((b\/(b*b**(1\/3))*b)\/b*b)**49 assuming b is positive.\nAnswer: b**(2048\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16065\/2249100)\/((-1)\/110).\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48880633 and 354119.\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = -k. Which is the smallest value? (a) 1\/2 (b) k (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001122 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1150*x - 225. Calculate the remainder when z(-2) is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + -70. Let u = 86.6 + j. Do u and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 * 0.6\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*n**2 - n**3 + n**3 - 2 - n + 168*n**2 - 7*n**3 in the form f + r*n**2 + h*n + g*n**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -36 (b) 3\/4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35394 minus -180.15?\nAnswer: 35574.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5410 = j + 2114. Let d = -1641 + j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -474241268537 - -95642133591251805\/201674. Let m = a - 1\/9167. What is the common denominator of -85\/12 and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-44)\/64)\/(-11))\/((-871)\/268).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + u + 238 = 0. What is the remainder when 135 is divided by u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 3:24 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in 0, -7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*p = -185500. Round p to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 434\/11 - 2841\/55. Find the common denominator of y and 14\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3802 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 26\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l + 3*l - 5*l)*(10*l - 10*l + 8*l**2) as i + q*l**3 + o*l + y*l**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-77))\/((90\/105)\/(-1))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -248\/3 - -83. What is the closest to -1\/3 in 5, l, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 12387098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 161?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-2) + 2)\/2. Is 2 - y - (-46 - 5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029208 divided by -159432?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -140b5 - 2?\nAnswer: -140b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 a, and 1 n when four letters picked without replacement from {n: 2, b: 1, a: 2, e: 1, x: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**35)**(-1\/19)*(p**(-1\/2)*p)**(-46)*(p**(3\/5)\/p)\/(p*p**(3\/5)) assuming p is positive.\nAnswer: p**(-985\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r**3 - 11*r**2 + 6*r - 4. Let m(c) = -8*c**3 - 6*c**2 + 3*c - 2. Let k be 2 + (-7)\/7 + 10. What is k*m(y) - 6*h(y)?\nAnswer: 2*y**3 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 4. Let r(g) = 10*g**2 - 3*g - 10. Let k(y) = -351*y**2 + 104*y + 351. Let n(s) = 3*k(s) + 104*r(s). Determine -2*n(z) - 7*x(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 45*z + 130. Let n be m(42). Suppose -5*b + 4*s + 1965 = -1059, s = n. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1650 and 624800.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6572176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27*k)**(3\/7)\/((k**(-31)*k)\/(k\/(k*k*k**(2\/111)\/k))) assuming k is positive.\nAnswer: k**(4660\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102*((-8640)\/(-204))\/80.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p + 1. Suppose 2*f = 79 + 29. Let v(c) = -9*c**2 - 18*c - 18. Let x(l) = f*t(l) + 3*v(l). Let z(a) = 2*a. Calculate z(x(j)).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.4002g in tonnes?\nAnswer: 0.0002444002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b**3 - 13*b**2. Let h be 4*(14\/4 + -2). Let m(q) be the first derivative of -7*q**4\/4 + 2*q**3 + 53. Determine h*x(f) + 13*m(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33412592 to the power of 1\/2, to the nearest integer?\nAnswer: 5780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 7 = -2*k - 4, b - 67*k = -451 + 53 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*u + 12 = 82*u, 2*k = 5*u + 48. Solve w + 3*v = 0, -5*w - 3*v = -w + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -24*f + 652. Determine b(28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/10 + -1 + 14. Let o(t) = 14*t + p*t - 34*t. Let z(b) = -b - 3. Let r(h) = 2*h + 5. Let q(k) = -6*r(k) - 10*z(k). Give q(o(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0733036 to three dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 4*v**2 - 3*v + 4. Let o be c(-3). Let z be (-2)\/o*2*2. Let f = -2 - z. Solve -5*l + 5*q + 15 = f, 3*l + 4*q = 2*l + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. Suppose h + 4*h - 100 = v. Suppose 5*y = 9*y - h. Calculate the remainder when 6 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {u: 7, m: 2, a: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 p, and 1 y when four letters picked without replacement from {i: 1, p: 2, y: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589005099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187*v + 362?\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 6\/11 (c) -7 (d) 1\/51 (e) 3 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7 = 1. Suppose 20 = -154*r + 398*r + 20. Sort z, 2, r in ascending order.\nAnswer: r, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 926448.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, l: 2, f: 2, h: 8}. Give prob of sequence lfnh.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*u - 149 - 139 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 440*2\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 33.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 3*d**2 + 9*d**2 + 10*d**2.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**6\/30 - 7*p**3\/3 + p**2\/2 + 11. Let q(v) be the third derivative of g(v). Let a(f) = -3*f + 3*f - 2*f - f. Give a(q(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 6}. What is prob of sequence sss?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/7*n + 16\/7 + 2\/7*n**2 = 0. What is n?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -52. Let o = g + 47. What is the second smallest value in -2, 2, o, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.49, -4, -2\/29, 5, 0, -26, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 12014?\nAnswer: -12014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53553281.\nAnswer: 17, 3150193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5806 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/293, -1\/8, -200, 0.3 in decreasing order.\nAnswer: 0.3, 2\/293, -1\/8, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**3*m**3 - 10492*d**3*y + 5*d*m**3*y - 9*d*m**3 - 47*m**2 - m + 10 wrt y?\nAnswer: -10492*d**3 + 5*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6147 or 165994\/27?\nAnswer: 165994\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0, 119681, -2, 1 in decreasing order.\nAnswer: 119681, 3, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38f (base 16) to base 2.\nAnswer: 1110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 27413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/7)*p)\/(p*p**(-6)))\/(p\/(p**(2\/3)\/p))**44)\/(p*(p**(2\/9)*p)\/p*p\/p**0*p\/p**(-5)*p*p\/(p*(p**(-1)*p)\/p)*p) assuming p is positive.\nAnswer: p**(-4043\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, 2.53, -26690?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1700859, -1700867, -1700881, -1700901?\nAnswer: -1700927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 2212222032210?\nAnswer: 2212222032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from {h: 2, s: 1, x: 1, t: 2, d: 1, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 25828.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9165 or -119141\/13?\nAnswer: -9165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1013210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/17 + -109\/221. Let o = -68 + -59. Let v = 127.2 + o. What is the closest to v in 3, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 - -217. What is the greatest common divisor of q and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 1. Suppose f = 3*i - 15 + 8, 3*i - 11 = 5*f. Let h(j) = -4*j - 8. Give f*h(z) - 2*l(z).\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4386 is divided by 250.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**8\/9120 - m**7\/2394 + m**6\/855 - m**4\/24 - 29*m**3\/2 - 105*m**2. Let l(a) be the second derivative of s(a). Factor l(g).\nAnswer: -2*g*(g + 2)*(7*g - 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 727806 divided by 363903\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 32. What is the tens digit of (-4 + u - 304)\/(6\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 20*d**2 + 12*d + 6. Let p(b) = -19*b**2 - 10*b - 5. Give 4*n(k) + 5*p(k).\nAnswer: -15*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, 134, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 25, -2*y + 5*o - 3*o - 114 = 0. Let t be (3\/(-4))\/(13\/y). Calculate the highest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.789115 millennia in years?\nAnswer: 3789.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*k = 52, 0 = 23*q - 18*q - 3*k - 28. What is the least common multiple of 1454 and q?\nAnswer: 5816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 2*p - 2. Let m be n(-2). Let z be (-5)\/(-2) + (-5)\/m. Suppose 3 = -z*o + 3*b, -4*o - 5*b + 6 + 21 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33204 - -2420143?\nAnswer: 2331434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovbv when four letters picked without replacement from ovvvlvvwvvvolbvlvbb?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -107. Factor 1\/6*l + 1\/6*l**d + 0.\nAnswer: l*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -0.109167 (c) -1 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -59. Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153831612 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282237486 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 18 + 28 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + 15. Let o be (z\/(-18))\/(9\/(-6)). Suppose 5*y = 3*g + 676, -o*y + 406 = -0*g - 2*g. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.53006nm to meters.\nAnswer: 0.00000000053006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32893570*t + 31680461 wrt t?\nAnswer: -32893570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(-3\/40)*r**(-14\/9)*r\/(r\/(r**(-2\/3)*r))*r assuming r is positive.\nAnswer: r**(-161\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04919 bigger than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**2*c)**(1\/3)\/((c\/c**0)\/c)**36 assuming c is positive.\nAnswer: c**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 2*k**7\/147 - 6*k**6\/35 + 4*k**5\/7 + 20*k**4\/21 - 64*k**3\/7 + 128*k**2\/7 + 58*k. Solve x(m) = 0.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1577*r**4 - 255171*r + 255171*r)*(-2 + 4 - 1)*(-6 - 2 + 5) to the form k*r + x*r**3 + b*r**4 + o*r**2 + d and give b.\nAnswer: -4731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138909*f - 10318 = -138440*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 27*k - 69. Let h be i(3). Suppose -10*p = -h*p - 2. Let b(t) = -4*t. What is b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1755798 and 11504.\nAnswer: 14046384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -144\/5*s + 0 - 74\/5*s**4 + 236\/5*s**3 + 6\/5*s**5 - 24\/5*s**2 = 0.\nAnswer: -2\/3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((1\/2)\/(1\/(-2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:41 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -5 - 20\/4. Let n be ((-432)\/(-10))\/(m\/(-120)). Let s = n + -6957\/4. Calculate the common denominator of 35\/18 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, 5 in decreasing order.\nAnswer: 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 330787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6184603 and 1603?\nAnswer: 43292221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*h**3 - 458 - 460 + 1386 - 463 to the form l*h**2 + k*h + d*h**3 + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 37.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 15263178?\nAnswer: 45789534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t + 174 - 383 = 151 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 101, -12 in decreasing order.\nAnswer: 101, 8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:24 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**3 - 153*c**2 + 30*c + 305. Give l(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 843245 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-4 - 0)) + (36 - 44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 + 332*h + 648 = 0 for h.\nAnswer: -81, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-33)\/12)\/((-63)\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5728 - 5733. Let v(u) = -6*u**2 - 2*u + 2. Let x(m) = m**2 - 1. What is c*x(z) - v(z)?\nAnswer: z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 2*l)*(243 + 11085*l - 120 - 123).\nAnswer: -11085*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 61605 = 3*g. Let r = -27041800 + 540589479\/20. Let l = g + r. Find the common denominator of l and -1\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -80*i + 55. Let j(v) = 100 + 9*v + 108 - 214. Determine 6*h(c) + 55*j(c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28335 or -250?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-1 + 0 - 1)*(5*j + 3*j - 2*j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/7 + (-556091)\/(-429723) and 64\/153.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 11 = -83*s - 285 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -107, -417, -933, -1655, -2583?\n\"Answer: -103*l**2 - l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98731678 and 1?\nAnswer: 98731678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258362 and 99028?\nAnswer: 673291372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aapffgpoofopoao. What is prob of sequence opg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 939, 1, 5, -37, -6.\nAnswer: -37, -6, 1, 5, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 384583141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, c: 7, h: 4}. What is prob of sequence hllc?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/16 (b) 2\/5 (c) 0 (d) -1\/4 (e) 0.1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8031856508*w - 8031856508*w + 1089*w**2.\nAnswer: 1089*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.501 - 2.8852. Let o = 0.418 + l. What is o rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttjgjjtjjtg. What is prob of picking 1 g and 1 j?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 6*k**2 + k**3 - 9*k**2 + 29 - 14*k. Is s(13) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let o(n) = -n - 1. Let u(z) = -5*z - 4. Let s(k) = 4*o(k) - u(k). Give s(f(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12239\/2615010 + 7\/2602. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85785)\/(-430))\/(42\/(-8)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 96, -5225, 3, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + j)*(2 - 2 - 1)*(0*j**2 + 2*j**2 + 2*j**2) - j**3 - 5*j + 5*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g**2 + 8. Suppose -2*l - 3*l + 25 = 0. Let w(j) = j**2 + 18*j - 71. Let u be w(-21). Let p(o) = 8*o**2 + 5. What is l*f(t) + u*p(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.029 + 0.29. Let y = -0.039 - i. Let d = 19 - 12. Which is the third smallest value? (a) d (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18578 times -5\nAnswer: -92890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898\/(-19929)*2*(-7)\/66?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let s(k) = 6*k**2 - k - 1. Let b be s(-1). Calculate z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -207, -425, -711, -1059, -1463, -1917?\n\"Answer: g**3 - 43*g**2 - 22*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290099 is divided by 72422.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39a777 - -1?\nAnswer: 39a778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 68. Suppose g = -3*y - 3 + n, 5*g + 10 = -y. Solve y = 3*h + 2*m + 2, -h + 0*m - 5*m - 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 - 13*r - 20. Let y(t) = -t**2. Suppose 5*h - 13 = -23. Let u(d) = h*y(d) + x(d). Does 5 divide u(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-33)*((-64)\/20 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 662633*t - 579275 wrt t?\nAnswer: 662633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 11*v = -60, 294*v = -3*j + 292*v - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 1, b: 1, o: 1, w: 1}. What is prob of picking 1 m and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(-2) + 59 + -49)\/((-1)\/(-4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552516?\nAnswer: 2, 3, 41, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*f + 48. Let r be (f\/(-10))\/(6\/(-15)). Solve -3*b = -5*b + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:11 AM?\nAnswer: 602","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14338818 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 23177769.\nAnswer: -7\/23177769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.0302 - -3.003. Let a = q - -0.0272. Which is smaller: a or -0.47?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5495856\/31 or 177287?\nAnswer: 5495856\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 3 + 4*5. Let n be -1*2\/4*-16. Suppose -8 - n = -2*a. What is the highest common factor of a and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbugzqp. Give prob of sequence uzb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -17*t**3 + 6*t**2 - 3*t - 28. Suppose 3*n = 4*x - 5, 18*n = 17*n - x - 4. Is 10 a factor of r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 184*z**2 - 187*z - 455. Let n be p(-91). Solve 4*f = -q + 12, n = -15*q + 19*q - 3*f - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4*l*l*l**(-4\/9)*l)**(-1\/5))**27 assuming l is positive.\nAnswer: l**(-177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(81)\/sqrt(3) + sqrt(27) + sqrt(27).\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 27\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 57*v - 1712 = -26*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 54*z\/11 - 116\/11.\nAnswer: 2*(z - 2)*(z + 29)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {q: 1, b: 3, r: 1, l: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8012, 8802, 10124, 11984, 14388, 17342, 20852, 24924?\nAnswer: 29564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*9\/(-810)*-15*2\/15.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 774750 divided by 8?\nAnswer: 387375\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37364468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 16\/12)*879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4882*w**2 - 46*w + 75. Does 4 divide r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 3*n = 1, -4*n - 10 = r. Let q(f) = -7 + r + 5 - 7*f. What is q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102222002 - 2?\nAnswer: -102222004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12419872 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35409877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46882843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 3*m**3 - 5 + m**2 + 7*m - 1 + (-5*m**2 - m**2 + 4*m**2)*(3*m - 2 + 2) - 3*m**3 + 4*m**3 - 2*m**3 to the form c*m**3 + j*m**2 + i + x*m and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -86560 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/40 and -73\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.266 - 0.266. What is the nearest to -1\/4 in -2, u, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3\/3 - l. Let g(h) = 8*h + 16. Let r(v) = -v - 1. Let q(a) = g(a) + 16*r(a). Calculate q(u(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 7. Suppose -2369 = 4*a - 645. Let r = -439 - a. What is l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2*(7 - 8)). What is the closest to -2\/3 in y, 1, 2, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131746347.\nAnswer: 19597, 57751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3274 is divided by 293.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 29 - (74 + -42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49870724 to the nearest integer?\nAnswer: 7062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4250 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y. Let h be g(2). Suppose 0 = 5*l + h, 3*r = l + l + 389. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193*w**3 - 216*w.\nAnswer: -1158*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*u - 60 = 0, -55 = -3*r - u - 0*u. Let w = r + -10. Solve -y + 2*y = 3*d + w, -5*y + d - 7 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/166 - 457\/830. Let q = -53\/40 - -6\/5. What is the nearest to v in -4, q, 3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 93413277?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.753 - 23.773. Round a to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012123 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 539 - 535. Suppose z - w + 471 - 1402 = 0, -3719 = -b*z + 3*w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 4*s - 247. Give a(15).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 11*m. Suppose -4*f - 4*h + 51 = -h, 2*f - 3 = 3*h. Suppose -f = 3*q + 24. Let z be a(q). Solve z = -4*o - 0*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2032033?\nAnswer: 2032032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -396c9 (base 14) to base 10.\nAnswer: -141297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 17*q**2 + 30*q - 514. Let i be n(17). Suppose 4*a - 24 = -4*h, 5*h - 10 - 10 = 5*a. Sort h, 2, i in descending order.\nAnswer: h, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose 2*k = 4*n - 606, n - k = -h*k + 150. What is the greatest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 40 = -11*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -1.9. Suppose -n = -z - 4, -4 = 9*n - 12*n + z. Let d(u) = 2*u - 2. Let h be d(2). Which is the closest to h? (a) r (b) -0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -81*k + 2189. Does 15 divide g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -575*y - 5717. Let a be r(-16). What is the highest common factor of a and 645?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 - 3*z + 1. Let c(i) = -3*i**3 + 3*i**2 - 10*i + 4. Let v(b) = 2*c(b) - 7*t(b). Let w(d) = -d**3 - 2*d**2 + 4*d + 2. Give 2*v(j) - w(j).\nAnswer: 3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/4765260 and 49\/681?\nAnswer: 1081714020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 804, 809, 814, 819, 824?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*200\/50.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10054*y**2 + 3357*y**2 + 3349*y**2 + 3351*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -416*c**4 + 17*c**3 + c**2 + 3*c + 60 wrt c.\nAnswer: -9984*c + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 7\/11 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 plus 26518?\nAnswer: 26876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (12 - (8 - -4))) + (34 - -1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w - 4*w - 7*w**4 - 9*w**4. Let q(m) = -m + 24*m**4 - 10*m - m + 28*m. Let f(o) = -8*i(o) - 5*q(o). Find the second derivative of f(l) wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -5\/14*g**2 - 1\/7*g**3 + 0 - 1\/84*g**4 - 146*g. Factor w(s).\nAnswer: -(s + 1)*(s + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -32*t + 39*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-4)\/(6\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1776+166397\nAnswer: 164621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/12)\/(3\/(-27)*2). Let j = -17 - -16. Let i be ((0\/j)\/(-2))\/1. Solve i = -u + 2 - n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 22*q**2 - 62*q + 50. Let f be d(5). What is the highest common divisor of 140 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9344 and 31828?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126720 by 10.\nAnswer: 12672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/966 and 83\/16?\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8433 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1282645, 2565296, 3847947, 5130598, 6413249, 7695900?\n\"Answer: 1282651*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 2 + -8 + -54 + -31\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 2662?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 4*h**7\/105 - 4*h**3 - 4*h**2 + 6*h. Let v(t) be the first derivative of q(t). What is the first derivative of v(r) wrt r?\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-10) - (-25)\/2. Suppose 0 = -3*i + 4*i - a. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 13*b - 2*s - 18, 138 = b + 53*s - 27 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 9*k**2 + k - 3. Let d(i) = i**3 - 10*i**2 + i - 2. Let s(v) = -2*d(v) + 3*o(v). Let g be s(7). Is (31\/g)\/((-3)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 23. Suppose 1 = -n*f + 7. Determine v, given that -2*v**2 - v**5 + 9*v**4 - 2 + 5*v - 5*v**4 + 0*v**3 - 4*v**f = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose -w*f + 42 = 3*c, 3*c - 25 - 20 = -f. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 65*b**3\/9 + 145*b**2\/4 - 170*b\/3 - 1887. Suppose n(u) = 0. What is u?\nAnswer: -4, 17\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.556 * -3\nAnswer: 1.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 484 and 1804.\nAnswer: 19844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32014 (base 14) to base 6\nAnswer: -2331014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 4*(sqrt(5) - (0 + sqrt(5)))**2)*2 - (2*sqrt(5) + -4 + (sqrt(5) - (sqrt(55)\/sqrt(176) - sqrt(5))**2)).\nAnswer: -sqrt(5) + 109\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*p - 44*p - 42*p - 1 + 2*p**2 - 3*p**2 - 42*p - 24*p**3 to m*p + z*p**3 + j*p**2 + g and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.8 - 7.5. Let l = -1.8 + -0.1. Let k = 2 + l. Which is the third smallest value? (a) 2 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3 and 11\/103.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -460362*b**2 - 8148*b + 1358. Let r(j) = -4074*j**2 - 72*j + 12. Determine -679*r(z) + 6*x(z).\nAnswer: 4074*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 - 2*v + 3. Let h(l) = 5*l**2 + 2*l - 4. Let z(q) = 6*c(q) + 5*h(q). What are the prime factors of z(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00230412 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.087121 - 0.0449.\nAnswer: -0.132021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0121 + -0.013375. Round x to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 44. What is the lowest common multiple of 3 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10646*a + 74531. What is s(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/6453 - -197443\/1677780. Calculate the common denominator of -59\/90 and t.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2980403, -5960806, -8941209, -11921612?\n\"Answer: -2980403*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 1\/15*f**5 + 1\/6*f**4 - 2 - 1\/3*f + 0*f**3 - 1\/3*f**2. What is z in c(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:40 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/(-22))\/((-1)\/13). Which is the closest to 1? (a) v (b) 2\/9 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -48*j - 532. Give g(0).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 116, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 times -0.13?\nAnswer: -0.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2\/5, -7, -1, 0 in descending order.\nAnswer: 14, 2\/5, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 23.044. Let a = -2.056 + f. Let w = 2 + a. What is the closest to -1 in 3\/4, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/14 + (-5)\/70*62. Let a(i) = -2*i**3 + 28*i**2 + 26*i + 4. Let f(u) = -u**3 + 25*u**2 + 27*u + 3. Let v(p) = t*f(p) + 3*a(p). Factor v(m).\nAnswer: -2*m*(m + 3)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:55 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226457978 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 9:16 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*r - 2536 = 35*r - 814. Let p be (-4)\/3*(-5 + 2). Suppose -8 = 4*u, -3*u + 0*u = -p*w + 62. Calculate the highest common factor of w and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 18599042.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfrjfjjffffjfj. What is prob of sequence rjff?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -87\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1418 and 6402?\nAnswer: 907.8036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4)*(-2 + 2 - 2*k) + 54 - 16*k - 54 to f + t*k and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3\/8, 0.47, -1\/3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 309 + 309 + 8*s in the form c*s + a and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 181.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-4))\/(7\/28). Let b = l - -190. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8659395 is divided by 13594.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-3\/19)*i*i**(-8\/9)\/i*i*i**(1\/4)\/(i*i**(2\/11)) assuming i is positive.\nAnswer: i**(2537\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106941*v + 69499.\nAnswer: -106941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2762*w - 10757. What is f(4)?\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-11250)\/(-72)))\/((-2)\/(-10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -n - 72 - 24, -n + 5*z - 94 = 0. What is the common denominator of 689\/n - (-1 - -1) and (-2 + 17)\/(70\/(-5))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 497 + -7926b?\nAnswer: -78994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/84*(1 - 161)\/(-8)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 16*g**2 - 5. Give m(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*h**3 - 2505*h**2 - 630*h + 40 = 0.\nAnswer: -2\/7, 1\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2428 - 2426. Solve 9 = k*q - o, -q = -6*o + 7*o + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 38 = s. Let n = s - 36. Let g = -5 - n. What is the greatest common factor of g and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*s**2 + 87*s**2 + 101*s**2 - 295*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38792 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2\/(-4) - (-13134)\/796.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81042217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(1100)*-2 + -4 + sqrt(1100) + -1)**2)*-1.\nAnswer: -9928 - 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*w + 3*w = -74, r + 29 = 5*w. Let n = r - -39. Suppose d - 5*i - 69 - 33 = n, 0 = -3*i - 3. What are the prime factors of d?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 11)*(2 + 0 - 3)*(18 - 16 + 46 - 3*z).\nAnswer: -33*z + 528","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -280\/9311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 252\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/32)\/((-3)\/8680). What is i rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571 = 18*l - 121. Let i be ((-15)\/l*2995)\/(3\/100). What is i rounded to the nearest one thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282881887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 1, p: 4, g: 3, b: 2, v: 3}. Give prob of picking 2 z and 1 d.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 9*f - 20. Calculate the smallest common multiple of 34 and d(12).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4440 divided by -4.\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 5*u**2 - 8*u - 14. Let c be x(-5). Let w = -176 + c. Does 39 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434692 is divided by 716194?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -23604 = -2454893\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 + -190. Let f be ((-771)\/b - 1) + 12\/20. Which is smaller: 52 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71610650*g**5 - 2*g**2 + 39*g - 162255 wrt g.\nAnswer: 4296639000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -763, -5883, -19763, -46777, -91299, -157703, -250363, -373653?\nAnswer: -531947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3598\/15 - -240. Let y = -0.22 + -0.48. Let c = -0.3 + y. Sort w, -5\/4, c in ascending order.\nAnswer: -5\/4, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -82 (b) -3\/7 (c) -1 (d) -4\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42325 and 4.\nAnswer: 169300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(640) + -1*sqrt(640) - (2*sqrt(90) + sqrt(90))\/sqrt(9))\/(3*(sqrt(5) + sqrt(10)\/sqrt(2))*6).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 33*f**2 + 62*f + 7769. Give x(-37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w - 2*m, 3 = -2*w - 3*m + 5. Suppose -4*t + 0*t = -4*k + 24, t + 15 = w*k. Solve k = b + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**2\/3 + 9748588*b\/3 - 3249528 = 0.\nAnswer: 1, 2437146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27959, 54786, 81613, 108440, 135267?\n\"Answer: 26827*k + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -35. Let u(k) = -k**3 - k**2 + 2. Let m be u(-2). Suppose -m = 4*t - i*t. Sort 4, t, 3.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.8168 litres in millilitres?\nAnswer: 324816.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1704824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 + 2 - 10*q**2 - q**3 - 6*q + 9*q. Give t(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19135 + -19134.5. What is the closest to 0.23 in 1\/5, d, -2\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560159994 + 4*d**2 + 560159994.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -0.21.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -k - s, -34*s + 26*s + 12 = -k. Solve 2*t - 12*q = -15*q - 4, -2*q = k*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347049 at least 347049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*w + 73*w - 31*w + 184*w to the form o + z*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.4, 3, -2.5, -2\/23, 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 30*w**2 + 3*w + 8. Let f(u) = 29*u**2 + 3*u + 9. Give 7*c(h) - 6*f(h).\nAnswer: 36*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -9*g - 9. Let h(c) be the second derivative of 1\/6*c**4 - 1\/2*c**2 - 2*c + 0 + 0*c**g. What is the derivative of h(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 1 + 0 + 3*u)*(-1 - 4 + 28)*(19 - 17 + 30).\nAnswer: 736*u - 736","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**13\/p)\/p**(-3\/5))**34*(p**(3\/4)\/p)\/p*(p**(1\/12)\/p)\/p*p**8*(p\/(p\/p**(1\/6)))\/p assuming p is positive.\nAnswer: p**(2332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1 + -3)*-3 + 5.\nAnswer: -3*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:31 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 7. Let n = 7 + w. Let m be (-4)\/(-6) - 8\/n. Solve b - m = -0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*j - 1, 29*j - 26*j + 3*k + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i + 5*k = -21, 32 = 3*i - 4*k. Find the first derivative of 14*b + 6*b**i + 13*b + 103 + 21*b - 42*b + 113 wrt b.\nAnswer: 24*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (-75)\/((-143550)\/128122)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 5 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -b - l, l - 93 = -2*b - 20. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 0*d**3 + 20*d**2 - 370 + 198 + 193 - d**3 to the form q + z*d**2 + j*d + w*d**3 and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 18. Calculate the smallest common multiple of h and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8164 and 546?\nAnswer: 171444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 4*l + 8, -4*l - 4 = 0. Suppose -b*t + t + 12 = 0. Suppose 2*s - 45 = -1. What is the remainder when s is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3631850 divided by -38230?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -7, -3, -5 in ascending order.\nAnswer: -7, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4 + -3)\/((-20)\/16)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**5\/30 - j**2\/2 - 10. Let l(c) be the second derivative of h(c). Let a(i) = -5*i. Give l(a(f)).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 411 - 388.9. Let d = -22 + h. Which is smaller: 0.5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f*f\/(f\/f**3))**(-8\/9)*(f**(-2)\/f*f**(3\/2))\/(((f*f\/(f*f*f**(-2\/5)*f))\/f)\/(f*f*f\/(f**(2\/19)\/f)*f*f)) assuming f is positive.\nAnswer: f**(6457\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-22))\/((-12)\/(-16)*1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -615\/432281?\nAnswer: -615\/432281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u + 73138 + 15062 = 0. What is u rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10787 + 5397 + 5389 - 205*q.\nAnswer: -205*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -840*d**2 + 341*d**2 + 388*d**2 + (0 + 2 + 0)*(3*d**2 - 2*d**2 - 2*d**2) to z*d**2 + k*d + g and give z.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 1. Let l be m(-1). Suppose l = -4*j - j - 20. Let q = j - -5. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -53 - (-38 - (-19 + 6) - -15)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13554007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*d - 3*s, 5*d - s + 5 = 3*d. What is the tens digit of ((-5)\/(-2))\/(d\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72445103.\nAnswer: 29, 2498107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 + 14*t + 20. Suppose 46*p - 44*p = -k - 2, 2*p = 5*k + 10. Determine l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - 4*m, -2*m = a - 5*m + 12. What is the common denominator of (-3)\/2 - a\/(-4) and -75\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507754, 506540, 505326, 504112, 502898, 501684?\nAnswer: 500470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.1088 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/5 in -2\/7, 2\/5, 11, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -49*y**5\/50 - 7*y**4\/5 + 32*y**3\/5 - 32*y**2\/5 - 37*y. What is t in m(t) = 0?\nAnswer: -2, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 x, and 2 c when four letters picked without replacement from {d: 2, c: 2, e: 1, h: 1, s: 2, x: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*2\/(-3)*(-8)\/(-16). Suppose s = 3*w - 8*p + 12*p - 14, -2*w = -p - 24. What is the least common multiple of w and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, t: 1, a: 1}. What is prob of picking 1 m, 1 a, and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.2. Let l = 0.6 + -0.2. Let f = 10.1 - 10. Which is the nearest to f? (a) v (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(325) + 3*sqrt(52)\/sqrt(4).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153025221 (base 6) to base 2.\nAnswer: 1100010010110111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 584, 1155, 1714, 2255, 2772?\n\"Answer: -s**3 + 578*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*v + 948, -4*a + 6*v = 9*v + 3811. Calculate the smallest common multiple of a\/(-154) + ((-70)\/22 - -3) and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 4)*(-5 + 10 - 3*o + 4*o)*(-3*o**3 - o**3 - 4*o**3) to q + b*o**2 + v*o**4 + w*o**3 + n*o and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 1790 - 1790.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 - 15.83. Let a = o + 9. Let b = -6.7 - a. Sort -1, b, 0 in descending order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 at most as big as -323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12737\/4048 + -42\/253. Calculate the common denominator of (279\/6)\/(4\/(-1)) and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/7 of a week?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -729\/4. Let z be (0 - 1)\/((-13)\/26). Let k be (-13)\/4 - (-3 + 0). What is the nearest to z in k, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - (sqrt(5) + (-2 + sqrt(5) + 0)**2 + sqrt(5))).\nAnswer: -15*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -879037\nAnswer: 5\/879037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 8:11 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1697*c - 64 = 1761*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.3. What is the nearest to 2\/7 in 1, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 707 and 3131.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.9 + 17. Which is the nearest to -1? (a) 0.3 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, 663, 2643, 6503, 12867, 22359, 35603, 53223?\nAnswer: 75843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 j, and 1 v when four letters picked without replacement from vvejxxxvxvoxxvxvjvv?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 953589173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -4*z + 5*r, -4*z + 38 + 104 = -2*r. Let k = 41 - z. Let p = 3 - 1. Sort k, p, -3 in ascending order.\nAnswer: -3, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 2:58 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 9*w**2 + 15*w + 1. What is the units digit of b(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178298.\nAnswer: 2, 59, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7830, 7988, 8144, 8298, 8450, 8600, 8748?\nAnswer: 8894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5481?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10771 is divided by 5385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3306 = 8*c - 3394 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -259 (b) -2\/9 (c) -10 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*o - 4*o. Suppose 4*g = 5*j + o, 0 = -5*j + 4*j + 4*g - 19. Factor j - w**2 - 3*w - 1.\nAnswer: -w*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**3 - 5*c**2 + 5988*c - 24004. Give h(4).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 - 25?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 37629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = -10. Is s\/(1255\/(-1253) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - 58 - (1 + (-1 - 0) + -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1a58a90?\nAnswer: 1a58a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263157353 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:22 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:10 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n - 12 = 0. Let p = n - 2. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 326877.061 to the nearest 100.\nAnswer: 326900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (sqrt(2736) + -1)*5)**2 - (sqrt(2736) + (sqrt(2736)*1*3 - sqrt(2736))).\nAnswer: -516*sqrt(19) + 43801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 4*i - 8*i. Let z = i + -39. Is ((-5541)\/z)\/(2\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9306, 20, -1, 2, -3.\nAnswer: -9306, -3, -1, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppwz when four letters picked without replacement from {p: 10, a: 2, w: 1, l: 4, z: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.09, 12, -0.1, 2.37, 3, 4, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u + 4*i - 74 = 0, 0 = -3*u + i + 196. Let j(w) = 23*w**2 + w - 1. Calculate the remainder when u is divided by j(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3151 or 0.1?\nAnswer: 3151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.1, -3, -27.41, 1 in descending order.\nAnswer: 1, 0.1, -3, -18, -27.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.108747, -0.05, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f)*(-6*f**3 + 17*f**3 - 14*f**3 - 119*f**4 + (-3 + 2*f**2 + 3)*(2*f**2 - 3 + 3)).\nAnswer: 230*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/4)\/(36\/(-39)) and 67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 8*u**2 - 4*u + 22. What is d(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 7}. What is prob of picking 2 e?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33845, 33835, 33811, 33767, 33697, 33595, 33455, 33271?\n\"Answer: -b**3 - b**2 + 33847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 105\/(-70)*16\/(-12). Let v(q) = 15*q**2 - 3*q - 1. Let i(x) = -7*x**2 + x. Determine f*v(a) + 5*i(a).\nAnswer: -5*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8819 + -5656. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 13 = 5. Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 12655786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1\/6*w**4 - 2\/3*w**3 + w**2 + 34*w - 28. Let h(i) be the first derivative of m(i). Factor h(s).\nAnswer: 2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-1)\/8)\/((-3)\/40*(-19000)\/2850)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 376183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2\/17 (c) -1\/6 (d) -5 (e) 26 (f) -122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + 3*(4 + 1*sqrt(343) - (4 + sqrt(343) + 1)))*5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j - 63*j - 4*x + 31 = -26*j, j - 5*x = 8 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 9*u - 10. Let b be o(7). Suppose -n + 18 = -3*q, 4*n - 2*n - 27 = -3*q. Suppose n*r - 10 = 10*r. Solve -r*p - 2*p = b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2882*m**2*w**2 + 175056*m**2 - 131*m*w - m - 11*w**2 + 22 wrt w?\nAnswer: -5764*m**2*w - 131*m - 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 - 55 = -3*m - 2*z, 4*z = -8. Suppose -m = -2*s - 5. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 5*q**2 + 4*q - 10*q + q**2 as n*q + l*q**2 + c and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oloooloooooo. What is prob of sequence ll?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 0.27.\nAnswer: -9.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3110*f**5 + 8184*f**4 - 54874*f**3 - 98940*f**2 - 44752*f - 5760 = 0.\nAnswer: -5, -1, -2\/5, -72\/311, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820 divided by 42?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:34 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 4683120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlee when four letters picked without replacement from lellllllllllelte?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oagcccwgog. Give prob of sequence ogw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1562*c**5 + 37*c**3 + 26*c - 3598 wrt c.\nAnswer: -31240*c**3 + 222*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*z + 2 + 3 in the form t + b*z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c422 (base 14) in base 7?\nAnswer: 2400242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.1, 3\/8, -1.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h - 72*h - 92*h - 210 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-14)*(-2776)\/9716*5\/(15\/(-56))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-14))\/((-618)\/(-412)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 2*q**2 - 3*q - 2. Let f be n(-2). Suppose -v + f - 2 = 0. Let t = v + 1. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974529079.\nAnswer: 29, 1361, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 3*w + 4*w + w)*(-5*w**2 - 6*w**2 - 3*w**2) to the form f*w**2 + h*w + d*w**3 + u and give f.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*o = -2, -5*m - 42 = o - 43. Solve r - i + 4*i - 3 = m, 5*r + 23 = 4*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/6 + -1\/12. Let w be 4\/9*(-72)\/336*3. Put 5, v, -3, w in ascending order.\nAnswer: -3, w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -563, -1124, -1667, -2186, -2675?\n\"Answer: c**3 + 3*c**2 - 577*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 3:29 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 + (0 - 4) - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -6 + -4)*-40. Is 320 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306435 (base 7) in base 3?\nAnswer: -2200021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 divided by 19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/25382 and 17\/68872.\nAnswer: 874054552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -392*a**2 + 49783*a + 119. Give r(127).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.69 + -0.59. Which is the third smallest value? (a) z (b) 2\/15 (c) -1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632146 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*n**2 - 284*n**2 + 718*n**3.\nAnswer: 718*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + -6.2. Let y = 111 - 111.5. Let a = s - y. Round a to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18723 divided by 10.\nAnswer: 18723\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.8 (b) -14 (c) 2\/29 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5834044215?\nAnswer: 3, 5, 1109, 116903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 + 2. Let h be d(4). Let s be h\/(((-4)\/(-34))\/(-1)). Find the common denominator of -32\/5 and (6 - 1)*s\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-40))\/(14\/14).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, p: 7}. What is prob of picking 2 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10050973 by -71.\nAnswer: 141563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6044766?\nAnswer: 2, 3, 7, 13, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:18 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4262189?\nAnswer: 17, 409, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 10\/13*w**3 + 6\/13*w**2 - 2\/13*w**5 + 0 + 2\/13*w**4.\nAnswer: -2*w**2*(w - 3)*(w + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/24541519 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - 4*k)*(2 - 4 - 8)*(-3*k + k + 0*k)*(-1 + 1 - 3 + (-15 + 9 - 23)*(2 - 1 + 1))*(3*k - 2*k + 0*k).\nAnswer: 6100*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 2519.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - (sqrt(153) - (-1 + sqrt(153) + sqrt(153))**2))) + 3 + 2*sqrt(833) + 4 + sqrt(34)\/sqrt(2).\nAnswer: -606 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 12*g**2 - 12*g - 48.\nAnswer: 3*(g - 2)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/380 and 43\/1220?\nAnswer: 23180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/17 (c) 1\/3 (d) -3.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -928 + 933 - (0 - 70)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 - -80247.131?\nAnswer: 80247.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7402557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161088239?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6097307 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/65? (a) -1\/3 (b) -2\/5 (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.09, -5, 0.4, -312 in descending order.\nAnswer: 2\/3, 0.4, 0.09, -5, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -344*t**2. Let j(s) = s**2. What is j(y(z))?\nAnswer: 118336*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 9 = 10*p - 5*s, 0 = -4*p - 3*s - 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -d?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuueeiuuui. What is prob of picking 1 u, 2 e, and 1 i?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36930702 to the power of 1\/2, to the nearest integer?\nAnswer: 6077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmwqfqz. Give prob of picking 1 f, 1 m, and 2 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22150414 divided by 77449\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 + 42*g + 25. Determine i(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 30 - 6 = 0. Let k(n) be the second derivative of -n**4\/12 + 2*n**3\/3 - n**2 - n. Let y be k(o). What is the nearest to 2\/3 in y, 3, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n\/(n**(-3\/16)\/n)*n)*n**(1\/5)*(n**15\/n)\/(n*n\/(n*n\/n**(-2))) assuming n is positive.\nAnswer: n**(1041\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 18*j. Solve j = -5*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 188883310 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:39 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 17. What is the remainder when 28 is divided by a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598181459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + 58 + (-22 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.2. Let i = -20.5 + 21. Which is the second smallest value? (a) f (b) i (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, 584, 5 in decreasing order.\nAnswer: 584, 5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from wwjwwwjwwwwj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 46. Let s = 0.03 + -3.03. Which is the third biggest value? (a) v (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**2 + l**3 + 19*l**2 - 47*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*b = 124, b + b + 202 = 3*x. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - 8*k - 3. Let g be r(-7). Solve u + g*u - 22 = -2*f, 4*u - 3*f - 13 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31.6*0.06\nAnswer: 1.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:41 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v + 8*v + 0*v**2 - 6*v**2)*(1 + 2*v**3 + 0*v**3 - 3*v**3).\nAnswer: 6*v**5 + 9*v**4 - 6*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 - 7*x**3 - 7*x - 4*x**3 + 4*x to t*x + r*x**2 + f*x**3 + m and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-27)\/(n\/(n\/((((n*n**2)\/n)\/n)\/n)))**(2\/11) assuming n is positive.\nAnswer: n**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91693.56 kilograms to milligrams.\nAnswer: 91693560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2404, -5899, -9408, -12931, -16468, -20019?\n\"Answer: -7*p**2 - 3474*p + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*m**2 - m**3 + 74*m - m**3 + m**3 - 31*m.\nAnswer: -m**3 + 219*m**2 + 43*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218 + 218 + 105*y**4)*(1 - 2 + 6).\nAnswer: 525*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8789, 8790, 8791, 8792, 8793, 8794?\n\"Answer: g + 8788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 6*g = -v + 14, 4*v = -2*g + 26. Sort -5, 121, v.\nAnswer: -5, v, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2247864 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/28 + 72\/21. Suppose g - 5*m = -4*g + 4540, 0 = 4*g - v*m - 3633. What is g rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 - 147 - (1 + -14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/1349 (b) 0.1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 58. Let o be i(53). Solve -3*b - 5*r = -2, 0 = b - o*r - 17 + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6346, 6189, 6004, 5791?\n\"Answer: -14*o**2 - 115*o + 6475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -3*w - 5*k, 2*w = 4*k - 2*k - 98. Let u = w + 495. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 6018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241494787 to the nearest integer?\nAnswer: 15540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*r - 0*r + 12, 20 = 5*j + 5*r. Let u(h) = h - 4. Let i be u(j). Solve -2*a - a - 6 = i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**6\/((b**(-2)\/b)\/b*b**(-5\/3)))\/(b*b**(-2\/9)\/b*b**(3\/2)*b**5*b**(-1\/6)) assuming b is positive.\nAnswer: b**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000210131 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(153))\/sqrt(9))**2 + sqrt(17) - (sqrt(34)\/sqrt(2) + sqrt(17) + -1).\nAnswer: -sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2684 - -4008. Let d = q - 309. Suppose -4*h + d = h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13796 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 218, 443, 668, 893?\n\"Answer: 225*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 6*t + 4. Let c = -8 - -2. Let x be b(c). Let y(f) = f**2 - f - 1. Is 11 a factor of y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-42) + 1)\/1 - 298267\/13587.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 19. Let a be z(9). Calculate the common denominator of 67\/10 and ((-657)\/6)\/(a + -10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52269286 divided by -244249\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -30 - 1\/(3\/9 - 0). Let s = 53 + o. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdzzzz. Give prob of sequence zd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: (4\/(-16))\/((-1)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-93 - -84)*14\/(-6). Let i(d) = d**2 + 4*d + 4. Let u(v) = -6*v**2 - 21*v - 21. What is x*i(z) + 4*u(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -4 - (17 + (-5 - -6 - 4)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56 + 40*h - 20 - 27 - 22 wrt h.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 20*v - 11*v - 7*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 0*t - t)*(-t + 3*t - t) + (-3*t + 4*t + t)*(5*t - 3*t + 5*t) + t**2 - t**2 + t**2 as h + u*t**2 + o*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91773 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -45. Suppose -2*c = -z + 3*c + q, -4*z + 2*c = -18. Solve -z*i = 3*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 - 4 = 0. Let y(j) = -j**2 - j + 3. Let z be y(0). Put m, 4, z in decreasing order.\nAnswer: 4, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**8\/1680 - w**6\/120 + w**5\/60 + w**3\/2 - 3*w. Let h(z) be the second derivative of u(z). Let h(b) = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -117 - 81*f - 1\/3*f**3 - 15*f**2 = 0. Calculate f.\nAnswer: -39, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 + 64728.\nAnswer: 64701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145514643, -145514645, -145514647, -145514649, -145514651?\nAnswer: -145514653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjf when three letters picked without replacement from aaafjfjajabfa.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0.4, -4\/5, 1.43, 2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(3564) - sqrt(3564)).\nAnswer: -108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3583 times -26\nAnswer: 93158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 8*i - 6. Suppose 5*q + 2*o = -20, 3*o = -0*q + 2*q + 8. Determine b(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**2 - p + 1. Let t(n) = -156*n**2 - 2*n - 1. Let u(x) = t(x) - 3*y(x). What is the second derivative of u(k) wrt k?\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229868748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(170) + sqrt(170)*1*3)\/(sqrt(40)*2 - sqrt(60)\/(1*sqrt(6))))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i + p - 471, i - 92 = 2*p. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - (-81 - -56)) + -75?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933642822?\nAnswer: 2, 3, 7, 17, 76919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/153)\/(((-50)\/150)\/(1\/(-3))).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34882 + -17541. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 32*l**2 - 32*l - 30. Let k be z(33). Solve -k*v - 5*w = -9, -v + 3*v + 3*w - 5 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8783005 divided by 3259.\nAnswer: 2695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23261738807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 12 + (0 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 5*a**2 + 6*a - 6. Let z be x(4). Let c = z + 0. Suppose -92 - 47 = -5*h - r, -89 = -3*h - c*r. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 11*h + 4*u - 16 = 0, -2*h + 3*u - 1 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 less than -8139490?\nAnswer: -8139487.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140598*r**5 - r**4 + 2*r**2 - 13*r + 32871?\nAnswer: -2811960*r**3 - 12*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/12572406 and 1\/121?\nAnswer: 138296466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0*z**2 - 15*z + 0 + 1\/6*z**4 + 0*z**3. Let g(y) = -y. Determine x(g(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35190*z**3 - 11789*z**3 - 131858*z**3.\nAnswer: -178837*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/22*8\/(-520)*-2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u\/((u\/u**(2\/5)*u)\/u))\/u)*u**15\/u)\/(u*u\/u**3)**(-2\/167) assuming u is positive.\nAnswer: u**(13851\/835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 187 + -238 - (-43 - 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7 + 8 + 4*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585334979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 4*r**3 + 4*r**3)*(2*r + r + 9*r) + 2*r**4 - 41 - 4*r**3 - 3*r**4 + 30.\nAnswer: 11*r**4 - 4*r**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.24. Let i = 91.94 + -87. Let p = i + y. What is the biggest value in -1, p, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 1\/7 (c) 36883 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(6\/42*21\/12) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, p: 8, w: 2}. What is prob of sequence hwhh?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/10*1180\/236.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39428012\/2 - (135\/20 - (-6)\/(-8)). What is l rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -6\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 11*q - 3. Let k be y(-2). Suppose -5*n + k = 3*x - 4*x, 3*n = -3*x + 21. What is the highest common divisor of 196 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 5*y + 5*n, -4*n + 8 = y. Let k(c) be the first derivative of 1 + y*c**2 + 0*c + 1\/9*c**3 - 1\/15*c**5 - 1\/18*c**6 + 1\/12*c**4. Factor k(l).\nAnswer: -l**2*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 9 + 1 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-6)\/7)\/(48\/168). Let g(z) be the first derivative of -f*z**2 + 0*z - 2. Let r(h) = -7*h**2. What is g(r(x))?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -120, 5, -2777, -17?\nAnswer: -2777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, e: 4, j: 1, q: 4}. What is prob of sequence jeq?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k - 12. Suppose k*h = -h + 56. Suppose -5*n + h = -51. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500 (base 14) to base 8.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1 - 6*t**2 + 1 - 2. Let f(q) = 3*q. What is f(y(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c + 21. Give d(-15).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hobpphoxxhmx. Give prob of picking 1 x and 1 h.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 + 13*s + 94. Let a be w(-5). Solve a*p + 15 = 134*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 373204424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/499, -2327, 0.4 in descending order.\nAnswer: 0.4, 2\/499, -2327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 892\/105 (c) -1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x + 8. Let c be t(9). Let p be 4\/((-2)\/(-6) - c). Let a(l) = -l**3 + 3*l**2 + 3*l - 3. Let h be a(p). Solve 4*j - 10 = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109241 - -109240.999891134. What is r rounded to 7 decimal places?\nAnswer: -0.0001089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7369 is divided by 3680.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*h + 11, 2*t - h = -t + 6. Let r be (-28)\/4 + 3*t. What is the units digit of 23 - r*3\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m - 31*m**4 + 7*m + m**4 - m + m + (0*m**3 + 3*m**3 - 5*m**3)*(m - 1 + 1).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -5*p. Suppose 0 = 3*c - 2*c + 4*q, -2*q = -c + 6. Let w = 28 - 24. Solve -c*z = p + w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 12 - 27 + 193 - m**3.\nAnswer: m**3 + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175530 smaller than 2175527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 223*z**3 - 7*z**2 + 58*z - 4. Let i(l) = 111*l**3 - 4*l**2 + 31*l - 2. Determine -4*f(m) + 7*i(m).\nAnswer: -115*m**3 - 15*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -232221131 (base 5) in base 16?\nAnswer: -10174d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -247*p - 1232. Calculate r(-4).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1173\/(-68))\/(1\/72). Let d be j\/45*1*-5. Suppose -y - y = 2*h - d, -5*h = -5*y - 305. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 54. What is the common denominator of (-780)\/(-45)*(-10)\/16 and ((-861)\/p)\/7 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.24 + -0.76. Which is the nearest to t? (a) 2\/31 (b) 4\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -13 + -3 - (0 - (0 - -5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 324\/20 + (-3)\/15. Let l be 8\/t*(-1 - 5). Let b = 1 - l. What is the second smallest value in b, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 6:37 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -41910000 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3*v - 11. Let j be (-6)\/2 - -2*(-36)\/(-8). Let m be g(j). Suppose 0 = -m*z - 7 + 28. Solve z*p = -5*l - 19, -26 + 5 = 3*l + 5*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 = -19. Suppose -p - 5 = -3*j. Are j and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-2*o + 2*o - 2*o)*(-2 + 0 + 4)*(3 + 4 - 4) to x + u*o and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2008 or -2009?\nAnswer: -2008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/9 of a day in minutes?\nAnswer: 7360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*g = 20, -1 = 5*g + 9. Is ((-10)\/s)\/((-2)\/291) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92362429.\nAnswer: 3253, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 721 (base 13) in base 7?\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u**2. Let o(i) = 3*i. Give c(o(v)).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85736008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1461, 5, -2.\nAnswer: -5, -2, 0, 5, 1461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 199447759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -481*i + 1441. Let d be h(3). Let k(v) = -9*v**2 - 23*v. Give k(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*6*-1. Suppose 9*f - 6 = 7*f. Let q(d) = -1 + 2 - 2 + c*d**2 - 2*d**2 - 9*d**f. Give q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -57 and 26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.927 - -0.3\nAnswer: 2.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 12:58 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959898882 is divided by 319966293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 85*o + 165 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1135\/(-29737)*(-6)\/(-30).\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2866 * 1.8.\nAnswer: 0.51588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2362 - 1606. Suppose -s = -5*u - 7*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14542.\nAnswer: 2, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -0.063, 2, -14095?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 776*j**2 - 22*j + 62. List the prime factors of q(-5).\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 5*p - 3*o, 6*p - 158 = p - 4*o. Let s = -19 + p. Solve s = 7*a - 4*a, -2*k = -a + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 834128\/7 or 119161?\nAnswer: 119161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2452 is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*n + 0 = 5, 0 = 2*y - 5*n - 2. Let u be 3\/12 - ((-46)\/8 - y). Let v(f) = 306*f + 25. Is v(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 - (6 + -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.2192 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5279, 21096, 47491, 84470, 132039, 190204, 258971?\nAnswer: 338346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*a + 200 = 0, -3*x - 7*a = -12*a - 668. Suppose x = 14*q + 10*q. Solve -l = -5*r - 5, -2*r - l = -0*l + q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 2*w**2 + 5*w - 3. Let y(z) = z. Let f(p) = k(p) + y(p). Suppose -3*c + 12 = -2*x + 2*c, -5*c = -20. Is f(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11631133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l, -3*l = f - 2*l - 8. Suppose -310 = -2*g - 3*i, 2*i = f*g + 5*i - 757. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 12:16 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*4\/(6 - 2). Suppose -4*n = -v*z + 36, 3*z - 4*z - 7 = 3*n. Suppose 0 = -4*j + 5*h + 20, 7 + 3 = 2*j + z*h. Solve -c + 0 + j = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -589 at least -593691\/1007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-2)\/105*5)\/(25\/35)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/161 - (-142)\/7. Suppose 3*q + 15 = 3*y, -2*q = 2*y - 6*q - r. Suppose y = -2*o + 310 + 2. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4855 - 4855 - 3*l + 3*l**4 + 4*l**2 to n*l**4 + c*l**3 + q*l + k + f*l**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161.174 - 161. Let h = q - 0.25. What is h rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291085384.\nAnswer: 2, 36385673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*q - 8, 2*q - 11 = -3*l + 1. Let j(v) = -v + 11. Let k be j(6). What is w in -4*w**3 - 2*w**l - 3*w**2 - k*w**3 + w**3 - 5*w**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -102. Determine t, given that 48 + 250*t**5 + 2*t**2 - 200*t**q - 230*t**3 + 74*t**2 - 32 + 88*t = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*b + 6 = 0, 2*z - 5*b + 24 = z. Let x be (-5 - (-151)\/6) + z\/(-6). Let l = 32 - 27. What is the greatest common factor of x and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3 - 32*d**2 + 176*d - 192 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 99 = -3*x. Let c(f) = -3*f - 33. Let k be c(x). Suppose -3*h + k*h + 54 = 0. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-769)\/(-7) + 3\/21. Let t = n + 51. Let q = t + -64. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 3*l**2 + 15*l**2 + 19*l**2 in the form z*l**2 + i + h*l and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 51 = 2*n - 4*r, -n = -5*r - 28. Let x(v) = v**3 - v**2 - 26*v - 17. Is x(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28797 and -6.824.\nAnswer: -196510.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus 24.7?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - i = 5, 3*t - t = 14*t - 8*t - 3*i + 80 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -414.8 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 1, k: 1, j: 1, p: 1, y: 2}. What is prob of picking 1 k and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 3, 49, 133, 267?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2. Let o(w) = -127*w**2 - 807*w. Let a(c) = 14*c**2 + 85*c. Let p(s) = -57*a(s) - 6*o(s). Determine p(u(k)).\nAnswer: -1764*k**4 + 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111.7 + -377.34. Let o = -489 - c. What is the nearest to 0 in -3, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 483 and -1?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v**2 - 2*v**2 + 3*v**2)*(2 + 2 - 6) + 3*v**2 - 4*v**2 + 3*v**2)*(2*v**2 + v**2 + 3*v**2).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035755264 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26752 and 458546.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 37 + 3 = 0. Suppose 3*x - y*x + 10 = 0. What is the common denominator of -91\/6 and (45\/x - -1)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:11 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-3 - 1 - (9 + 12 + -61)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:12 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16316\/5 + 3251. Let u = -12\/71 - 2863\/284. What is the common denominator of u and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -319, 15\/2168, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 7*c**2 + 9*c. Let s be w(8). Calculate the greatest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 + 186*h - 609. What is z(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389017, 388836, 388533, 388108, 387561?\nAnswer: 386892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7103*r - 274917 - 274919 + 549836)*(r - 3*r + 0*r).\nAnswer: -14206*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*t + 35 = 2*t, 5*b - 2*t - 33 = 0. Let p = 5 - b. Suppose p = 3*u - 7*u + 228. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 2.3. Let l = -0.21 - -3.91. Let g = l - 3.5. Which is the closest to 3? (a) r (b) g (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6276900 divided by 490?\nAnswer: -12810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 21. Let x be n(-9). Suppose x*q - 211 = -190. What is the highest common divisor of q and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3707 + 3702. Which is the closest to -1? (a) -3 (b) i (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - -6 - (-4 + 0). Suppose -20 = -5*y - s*i, 13*y - 12*y - 4 = -i. Solve 4*w - 4*f = 0, 2*f + 5 + 1 = -y*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -15 + 40, 4*l + 5 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6399 + -5951. Suppose 5*w - 257 = -1487. Let c = w + g. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 598580 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, u: 2, g: 1, w: 2, c: 4, r: 3}. What is prob of picking 1 w, 1 c, and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 24. Put 0, 1, 2, x in decreasing order.\nAnswer: 2, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-5))\/(6\/(-15)). Let o(t) = -3*t + 2*t - t**h + 7*t + 5. What are the prime factors of o(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 60634?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -12.\nAnswer: 35\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(10\/6)\/5. Let -2 + 0*c - 5 + 2*c**h + 2*c + 3 = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 357506163 and -0.5.\nAnswer: 357506162.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z, -5*d + 433 - 98 = -5*z. Suppose -3*q + c + d = 0, -4*c + 32 = 2*q + 6. What is the remainder when q is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 + 16*j**2 + j - 13. Let o = -414 - -409. Let s be t(o). Let z(p) = 2*p. Let q be z(1). Solve v = -4*k - 8, 4*k - s = 3*k + q*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3728*y + 5596. Is 15 a factor of l(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000528145 to seven decimal places.\nAnswer: -0.0000528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 2*o + 7*o**5 - 4*o**2 + 5*o**2 + (-2*o**2 + 3*o**2 + 2*o**2)*(0*o**3 + o**3 + 0*o**3).\nAnswer: 10*o**5 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270708 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/28 + 19\/4. Let y(z) = -z - 6*z + n*z + 2*z. Let t(s) = 6*s**2. Calculate t(y(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101479 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (5 - 0)) + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 464*s**3 + 20184*s**2 + 390224*s + 2829124.\nAnswer: 4*(s + 29)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935565497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a + 61. Is 8 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**27)*j)**(9\/4)*(j*j\/(j\/(j\/(j\/(j**(-42)\/j))*j)))\/(j*j\/((j**(2\/11)\/j)\/j)*j) assuming j is positive.\nAnswer: j**(-4689\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010011101011?\nAnswer: 1010011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 233, 38.\nAnswer: -3, 38, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/549 and 163\/442800?\nAnswer: 27010800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09126 plus -6472?\nAnswer: -6472.09126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 4*k**2 + k**2)*(-20 + 11*k + 20) + (-2 + 2 + 3*k**2)*(0*k - 2*k + 0*k) as s*k + m + v*k**3 + d*k**2 and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15073*b**2*p**3 + 3*b**2*p - b*p**3 + 3*b*p**2 + b*p + 34*p wrt p.\nAnswer: 90438*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -10*o + 3*o + 3*o, -k = -2*o - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*r = 28, 4*r + 8 = -8. Let d = c - -7. Let w(m) = d*m**2 - 4*m + 4*m. Let l(q) = q. What is w(l(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x + 16. Let p(b) = -122*b - 12677. Let u be p(-104). Suppose 0 = -2*l - 5*c - 6, l + 0*l + c = 0. Let w(j) = -3*j - 3. What is l*g(f) + u*w(f)?\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/((-8)\/(-395)))\/(19\/(-76)) is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r - 3. What is the units digit of o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/450 - (-118)\/(-84).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89.8 - 89.63. Which is the nearest to o? (a) 5 (b) -0.1 (c) 0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**5 - 403*m**3 + 3145*m**2 wrt m.\nAnswer: 240*m**2 - 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + 36*k + 35. Is 50 a factor of t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96030.9 times 3?\nAnswer: -288092.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 0.1 (c) 353 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 54. Let y be k(23). Let p = 128 + y. Suppose 0 = 9*z - p - 84. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -774*r - 9. Let a be c(-19). Suppose 0 = -0*s + 3*s - 15, -2*b = -5*s - a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 1 + 0 - 2*n)*(177 + 837*n**3 - 177)*(4*n + 0*n - 2*n).\nAnswer: -11718*n**5 - 1674*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6071 is divided by 6041?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/8 + 8*w**3 - 22*w**2. Let c be m(-15). Solve -5 + 14 = 2*n + 3*d, 14 = c*n + 5*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (0 - -6) + 2. Suppose 5*w - 3*p = 7*w + t, 0 = 5*w + 2*p + 6. Suppose w = c - 4*c + 93. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -1804 + 6436 + 17856. List the prime factors of i.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5321 (base 8) in base 5?\nAnswer: 42034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 11*c**2 + 3*c - 8. Let g be d(11). Solve g = -13*i + 8*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/(-3 - (-14)\/4). Let b = k + 42. What is the smallest common multiple of b and 17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b**2 + 148*b**2 - 55*b**2 - 52*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455 and 56?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3818938835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04246 plus 4?\nAnswer: 3.95754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/24 + (-2)\/4. Let u(t) be the second derivative of -2\/45*t**6 + 2*t + 1\/9*t**7 + 0*t**5 + 0*t**3 + 0*t**2 + o + 0*t**4. Factor u(l).\nAnswer: 2*l**4*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12028 + -11902. What is the greatest common divisor of p and 1122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -2213*k**7\/70 + 49*k**4\/8 + 11*k**3\/6 + 88*k**2 + k + 6. What is the second derivative of t(q) wrt q?\nAnswer: -79668*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u = -70*u + 1. What is the remainder when u\/((-112)\/(-252) - (-523)\/(-1197)) is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**2 + 4*a**2 - a**2 + (a + 4*a - 3*a)*(2*a + a - 4*a) + 5*a**2 - 5*a**2 - a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7049, -28009, -62943, -111851, -174733, -251589, -342419?\n\"Answer: -6987*y**2 + y - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 13*x**4\/3 - 4*x**3\/3.\nAnswer: -x**3*(x - 4)*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -361601\/246 or -1471?\nAnswer: -361601\/246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + -0.31. Let h = s + 3.67. Let c = h - 3. What is the nearest to -0.1 in c, 5, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -20 - (1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-55.5\nAnswer: -277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/10)\/((-99)\/165))\/((-190)\/171)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3244 - 3244. Solve -c + 61*x = 62*x - 7, 2*c - 5*x = k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s*s*s**(-1\/7)))\/(s\/(s\/(s*s\/s**(-12)))*s)*s**(1\/11)\/s*s**(2\/33) assuming s is positive.\nAnswer: s**(-4321\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 17*k**2 - k - 15. Let p be n(-17). Let v(l) = 60252*l**2 - 16*l + 24. Let j be v(p). What is j rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 + 3*u + 1. Let n be o(4). Let q be (-268)\/(-14) - (-5)\/n. Calculate the highest common divisor of q and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49731 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from isiisiiiiyiybyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 11 - 80. Solve -q + 5*c + 22 = 0, 2*c = -5*q - 2 - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 - 9*u**2 - 9*u**2)*(-u**3 + 20*u**3 - 2*u**3).\nAnswer: -425*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59247 is divided by 9036?\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.187 or -24\/13?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-24) + (-57)\/(-20) - (1 + 3). What is the fifth smallest value in -5, z, 0.3, -4\/3, -130?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 2*b)*(2*b**4 + 0*b**3 + 0*b**3) + 11*b**5 + 2*b**5 + 5*b**5 + (b**4 + 3*b**4 + 2*b**4)*(2*b - 2*b - 4*b).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((108\/11)\/(-1))\/(18209\/(-200299))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254254?\nAnswer: 2, 7, 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001561183 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*n = -0*n + 23, 5*a - 25 = -5*n. Suppose 4*j - 5 = -a*y, -3*j - 4*y = 2*j - 5. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 3*s - 2*s + 0*s + s + 0*s + 2*s + s - 2*s + s + 0*s + 0*s + 2*s - 2*s + 2*s + (4 - 7 + 1)*(2 - 2 - 2*s) + 3*s + 3*s - 4*s to h + l*s and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/((-7)\/6). Suppose z = -37 + 41. What is the closest to -1\/2 in z, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2055*l - 9 + 2083*l + 2059*l - 6133*l + l**4 - 2*l**2 in the form c*l**2 + b*l + a*l**4 + w + k*l**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.406 rounded to 1 dp?\nAnswer: -81.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -347, -5, -380, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43129 + -43127. Factor -75 - 10*o - 1\/3*o**f.\nAnswer: -(o + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 3*s**3 - 2*s**3)*(5 - 69*s**2 + 71*s**2 + 7).\nAnswer: 2*s**5 + 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52124 by 134.\nAnswer: 26062\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/5 - 3363*u**4\/5 + 957234*u**3\/5 - 8126664*u**2\/5 - 61022112*u\/5 - 51934848\/5 = 0.\nAnswer: -4, -1, 14, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8209.072 rounded to the nearest integer?\nAnswer: 8209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73025647, -73025648, -73025649, -73025650, -73025651, -73025652?\nAnswer: -73025653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 653550892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 6*a**6\/35 - 23*a**5\/70 + a**4\/14 + 2*a**3\/21 - 31*a. Suppose f(j) = 0. What is j?\nAnswer: -2\/9, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p\/p**1*((p**(2\/5)\/p)\/p)\/p*(p\/(p**(-7)*p))\/p*p*(p**(2\/11)*p\/(p\/((p\/(p\/(p\/p**9)))\/p)*p*p))**13 assuming p is positive.\nAnswer: p**(-7273\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 less than or equal to 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121\/3 - -32. Let u = 128\/15 + b. Let r = -5 + 3. Sort 2, r, u in increasing order.\nAnswer: r, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*u = 359 + 421, 0 = -4*i + 4*u + 616. Let j = 524 + i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - ((-6)\/45 + 5664\/(-45)). Suppose 0 = i + s - 520. List the prime factors of i.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*q + 3 = -4, -3*q + 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*u)*(2 - 2 + 2*u)*(0*u + 0*u + u) in the form w*u**3 + s*u**2 + d*u + b and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 567731 to the power of 1\/2, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1287\/((-9405)\/95)*(-4)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 22*t + 1. Let p be j(11). Sort -5, -2, p in decreasing order.\nAnswer: p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2. Let l(i) = i**3 - 3*i**2 - 4*i + 1. Let w(y) = y - 4. Let z be w(8). Let m be l(z). Let q(s) = -m + 1 + 3*s. Determine g(q(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*m**5 + 20*m**5 + 3*m**2 - 2*m**2 + 2*m**5 - m**5 - 2*m**5 - 2*m**5 - 3*m**3 + 3*m**3 + (3*m - 5*m + 0*m)*(-2*m**4 - 2*m**4 + 5*m**4).\nAnswer: -7*m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) -2 (b) -1 (c) -7\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 5*r + 2. Let a be d(2). Let b(x) = -2*x**3 - 3*x**2 + 6*x + 4. What are the prime factors of b(a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2964*x - 8454*x - 7362*x - 1593648 for x.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - q)*(0*q + 0*q - 2*q + (-1 - 2 + 2)*(4*q - q - 2*q) + 3*q - q + 4*q - q - 7*q - 9*q).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286670 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -23*h**3 - 6*h**2 + 10. Let d(b) = 23*b**3 + 7*b**2 - 11. Let w(q) = 6*d(q) + 7*x(q). Differentiate w(t) wrt t.\nAnswer: -69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + u**2 - 13858*u + 41578. What is f(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1318004049 - 5.6.\nAnswer: -1318004054.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 8210*m - 8215.\nAnswer: 5*(m - 1643)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225485277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32657 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - 42. Let m = q - -23. Let z = -16 - m. What is the greatest common factor of 121 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58701466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15185673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 151 - 3*n + 60 + 36 + 27.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(3 + 21\/(-6)). Let j = 1 + p. Solve j*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 9) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*z**4 + 2*z**2 - 107*z - 62 wrt z?\nAnswer: 1656*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8880510 + 11?\nAnswer: -8880488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(5 + 0 + -3). Let g be 1\/(z - 26\/(-14)). Let x(c) = -c**3 - 8*c**2 - 9*c - 5. List the prime factors of x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 12. Let u(f) = 4*f - 7. Let t be u(3). What is the units digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2818749315 by 5.\nAnswer: 563749863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*u - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:09 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461809809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d + 2. Let y be (-14428)\/22 - d\/(-11). Let b = y + 9189\/14. Calculate the common denominator of b and -115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f)*(-2*f**2 + f - f) - f**3 - 5*f**3 + 4*f**3 + 18*f**3 + 10*f**3 + 0*f**3 + (-6 + 6 + f)*(-3*f**2 + 3 - 3).\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 48. Let v(x) = 252*x + 1021. Let i be v(-4). Solve -u*t = -i*t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 19*s + 29. Let p be u(16). Let m = 0 + 3. Suppose p = 8*n + m*n. Calculate the smallest common multiple of 9 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.037 at most 268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 - -141.5. Let p = j + 51. Which is the third smallest value? (a) -1 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 5*a + 11. Let p(c) = 10*c**2 - 26*c + 54. Let o be ((-126)\/36)\/((-1)\/4). Suppose o = -3*b + 56. Let v(i) = b*y(i) - 3*p(i). Factor v(w).\nAnswer: -2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(11\/143).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -43 + 38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -77300 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 11641*v - 93327. Determine h(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15467114, -15467115, -15467116, -15467117, -15467118?\nAnswer: -15467119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + 5 + sqrt(180))**2*-6.\nAnswer: -1680 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 - 4*w**2 - 4. Let k(r) = 15*r**3 - 8*r**2 - 8. Let m(a) = -6*k(a) + 13*v(a). Let c(i) = -6*i**3 + 27*i**2 + 27. What is 4*c(o) + 27*m(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z + 0*z**3 - 1\/11*z**4 + 2\/55*z**5 + 23 + 0*z**2. Factor k(s).\nAnswer: 2*s**3*(s - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75 - -0.5.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 1, s: 1, g: 1, x: 1, h: 2}. Give prob of picking 1 w, 1 g, 1 l, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -1) + (-3003)\/(-21). Let t be (8\/(-6))\/((-6)\/9). Let l(q) = -2*q**t + 139*q - r*q. Let w(n) = n**2. Give l(w(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4785)\/(-110)*33\/(-171) - 5\/(-2)) + 6\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 0.11\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 7*k**2\/2 - 1. Let r = 17 - 15. Let v(i) = -5*i**2 - 7*i**2 + 19*i**r - 5*i**2. Calculate c(v(z)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12682713.\nAnswer: 3, 4227571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/4))\/t*t**(1\/3)\/t)\/(t**0)**(-2\/73) assuming t is positive.\nAnswer: t**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*g - 430 = 62 - 36 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 + 593*k**3\/8 + 903*k**2\/4 - 2699*k\/8 + 77\/2 = 0.\nAnswer: -4, 1\/8, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73711058 is divided by 73711052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let b be 6\/(-15) - (-8)\/20. Let u be n(b). Suppose -5*v + 6 = 1. Is u at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 5. Let h be 15 - 3\/((-6)\/(-8)). Let t be w(h). Suppose t*f - 570 = -144. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -179, -280, -367, -416, -403, -304?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2186 and 7?\nAnswer: 8.5302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 7*r + 3. Calculate l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 232201330 (base 4) to base 5\nAnswer: 22044323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xslefxr. What is prob of sequence rx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**5\/5 - 7*d**3\/3 + 5. What is the third derivative of g(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5\/5 - 237*g**4\/5 + 705*g**3 - 6351*g**2\/5 + 612*g = 0. Calculate g.\nAnswer: 0, 1, 17, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 0. Let q = -0.408 - -0.685. Let s = q + -1.277. What is the nearest to p in 2, -2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-64960)\/(-64))*(-28)\/6\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 5, -29, 39, -5, -1 in descending order.\nAnswer: 39, 18, 5, -1, -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**12\/y))*y**(2\/9)*y**(-4)*(y\/(y\/y**(3\/2)))\/y)**(37\/3) assuming y is positive.\nAnswer: y**(5143\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/20 and -81\/316.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -39 - (0 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 < 2315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkqrrrjqrrkrqkrjk. Give prob of picking 1 r and 1 q.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 9 = 7*h. Suppose 0*i - h = i. What is the remainder when ((-6)\/i)\/((-1)\/(-5)) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3655, -29201, -98565, -233665, -456419?\nAnswer: -788745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -0.7. Let f = 0.002 - -3.998. What is the third biggest value in 0.4, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806, -1676, -2544, -3410?\nAnswer: -4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/1723 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(360\/(-20))*(-3)\/(-78)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(1 + 2 + 2)*(0*m + 0*m + m)*(7*m - 7*m + 38*m).\nAnswer: -190*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 47*l**5\/20 - l**4\/4 + l**3 - l**2 + 35*l. Calculate the remainder when 237 is divided by a(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-762)\/1270*(-5)\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0019225 * 1\nAnswer: -0.0019225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116081 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 44*j - 271. Let v be i(-29). What is the third biggest value in 2, -0.2, -2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*n + 291*n + 764*n + 696*n)*((-2 - 2 + 7)*(-2*n - 3*n + 4*n) - 3*n + 2*n + 0*n).\nAnswer: -6456*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 248\/(-10) + 5\/(-25). Let w be 20\/t*25\/(-2). Let j be ((-16)\/120)\/(1\/w). Is 0 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442713043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 522*y - 5. Let n(z) = 25*z - 1. What is m(x) - 6*n(x)?\nAnswer: 372*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Is t < -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 11*q - 7*q**4 - 11*q wrt q?\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h + 4 + 0 - 5160*h**2 + 5161*h**2 - 4*h**3 + (h**3 + 3 - 3)*(1 + 5 - 3).\nAnswer: -h**3 + h**2 + 5*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3496842684 to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*k - 210*k = -10, -18390 = -5*w - 4*k. Calculate the lowest common multiple of w and 14.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7669\/(-1630)*(-5)\/(-2). Let x = -2\/163 - j. What is the common denominator of 6\/8 - (188\/144 - -3) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4733450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 66 + 21. Let k(b) = -b**3 + 7*b**2 + 8*b + 2. What is the remainder when k(7) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -29.4. Let r = 0.3 + j. Let z = -0.2 + 0.21. Sort r, 4\/7, z.\nAnswer: r, z, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**11)\/(r*r\/(r\/(r*r*r**(-3)*r))*r*r))\/((r\/(r*(r**(7\/6)*r)\/r))\/(((((r\/(r**3\/r))\/r)\/r)\/r)\/r)))**17 assuming r is positive.\nAnswer: r**(-1717\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 5 + 91*i + 5*i + 210*i.\nAnswer: 311*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 7:17 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 8*(-3 + 2). Let u = 16 - b. Solve -k = -6*k - 4*d + u, 0 = -k - 4*d + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1086 + 2.89204. Let t = m - 5. What is t rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 137054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 543193291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/8 + 287*b**3\/4 + 13752*b**2 + 3538657*b\/4 + 6967871\/8.\nAnswer: (b + 1)*(b + 191)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*a**3 - 2*a**2 + 565*a**3 + 2*a**2.\nAnswer: 697*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139916 and 636652.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -74984 * 2557\nAnswer: -191734088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15336 and 1728.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11122222 (base 4) to base 13\nAnswer: -a138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9567985 is divided by 455617.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1881893 and 494?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10989 is divided by 244.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3454779919 and 9502.\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -211?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 1 k when three letters picked without replacement from {c: 1, l: 2, e: 1, q: 1, k: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 11*l - 2*l + (-4*l + 6*l + 0*l)*(-1246 + 1523 - 894).\nAnswer: -1224*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*-1 - (-2209)\/423\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328 <= 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/13 + (-126)\/(-26). Let y = -1 + 0. Let k be (4 + 4\/(-4))*(-6)\/(-9). Sort w, k, y in ascending order.\nAnswer: y, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*z + 16, 4*z - 4*m = z + 19. Suppose -6*h + 225 = -h. Suppose -4*c - 68 = -z*b, -3*b = -c - 0*c - h. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a195 (base 14) to base 5.\nAnswer: 1342032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/17)\/(h**12*h) assuming h is positive.\nAnswer: h**(-219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 6*f - 5320. Suppose -178 = -5*m - 3*p + f, -p = m - 142. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.20023 - 0.2. Round o to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x + 7. Let r(c) be the second derivative of c**3 - 3*c**2 - 2*c. Suppose 4*w - 3 = -4*u + 9, 4*u - 21 = -w. What is u*r(l) + 5*b(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 33677676*k + 235743928.\nAnswer: -4*(k - 8419426)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + sqrt(363) + -2 + 4 - (-3 + sqrt(363) + (sqrt(363)*3 - sqrt(363) - sqrt(363)) + -4 + sqrt(363))))**2.\nAnswer: -20592*sqrt(3) + 58356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*q**2 - 71*q**2 - 122*q**2)*(-2*q + 0 + 0)*(1 + 1 - 4) as k*q + y*q**2 + x*q**3 + d and give x.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 - k**4 - 6*k**3)*(k + 3*k - k) + 0*k**5 + 2*k**5 - 17*k**5.\nAnswer: -18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.487379 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - 5. Suppose -q*i + 116 = -i. Let b(d) = -2*d**3 + 177*d**2 - 489*d + 9. Calculate the remainder when b(3) is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8016 - 1924 = 1523*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-2)\/(-2)) + 2. Suppose 5*a - 4*l = -5 + d, l + 8 = 5*a. Determine s so that 5*s**2 + 5*s - 3*s - a*s + 5*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/45414 and -107\/216?\nAnswer: 181656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/20*-6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 - o**4 - 4*o**4)*(-163 - 2004 + 12645).\nAnswer: -10478*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4466*k - 26704. Calculate m(6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - 45727.\nAnswer: -45727.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 17*f**2 + 2*f + 39. Determine v(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667368 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 48 - 24 = 0. Let l be (-4)\/18 + 86\/c. Let s = -0.2 + 0.1. What is the closest to -1 in s, l, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*q - 5*q - 510015, 2*b = 2*q - 1019994. Round b to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1887.54 millennia to years.\nAnswer: 1887540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 217, -2 in increasing order.\nAnswer: -16, -3, -2, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*t**(3\/8)*t))*(t*(t**(-3\/5)\/t)\/t)\/t)**40 assuming t is positive.\nAnswer: t**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 0 (c) 2759\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8595.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24762570 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 97*s**2 - 1024*s - 345. Give y(-85).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16300507 + -650432.\nAnswer: -16950939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*6 - 5. Let i(a) = 10*a**2 + 2*a + 1. Let g(h) = -51*h**2 - 10*h - 5. Let d(c) = b*g(c) - 11*i(c). Let z = 0 + -1. What is d(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 660 - 1674. Let r = k - -1495. What are the prime factors of r?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16725 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 10:40 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + l = -47, -2*l = 4*w + l - 174. Calculate the highest common factor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*v + 17 + 175 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*(-36)\/(-6). Let u(a) = 3*a - 4. Suppose -519 - 101 = -20*g. What is the remainder when g is divided by u(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114462 + -413?\nAnswer: -115205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1408*o - 14. Let z be w(4). Suppose 7*h = 668 + z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (-2*-1*sqrt(108) + sqrt(108) + sqrt(108)*2 + 2 + sqrt(108))*2 + -2)**2.\nAnswer: 1152*sqrt(3) + 31136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9094321 to 2 decimal places.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(931)*3 + -4 + -2.\nAnswer: -21*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 8918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -88. Sort u, 0.08, -2\/3, -0.2 in ascending order.\nAnswer: -2\/3, -0.2, 0.08, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*r + 211 = -333. Solve -3*u + 2*k = -r, -4*k - 1 + 7 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-8))**(16\/9) assuming x is positive.\nAnswer: x**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*i = -20, -4*v + i - 12 = -2*i. Suppose 6*x - 3*x = -2*w + 2, v = 3*x - w - 8. List the prime factors of ((-2)\/6)\/(x\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055484 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + (-4*sqrt(6048) - sqrt(6048)) + sqrt(42))\/(3*sqrt(864)).\nAnswer: -29*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103.314854 and -21?\nAnswer: 82.314854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*3\/9 + 2. Let t(y) = 5*y**3 - 2*y**2 + 1. Let c be t(1). What is the third derivative of -8*l**4 + 0*l**c + l**q + 8*l**2 + 5*l**4 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(-8 + 1089\/144)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 88 - 18. Let w = s + 111. What is the derivative of 25 + 15 - w + 4*q**4 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 62. What is s(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-15 - -20 - 24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -565826.\nAnswer: -565822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -175, 411, 997, 1583, 2169, 2755?\n\"Answer: 586*j - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.51059mm to kilometers.\nAnswer: 0.00004351059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*c - 6 = 0, 0*h + 2*c - 3 = h. Differentiate 32 + 12*l**3 - 128 - 22*l**3 + 8*l**3 - 32*l**h wrt l.\nAnswer: -102*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71073, -71066, -71055, -71040, -71021, -70998?\n\"Answer: 2*w**2 + w - 71076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -442\/7, 44, -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(396))**2 - sqrt(88)\/(sqrt(800)*-1 - sqrt(800) - sqrt(8)).\nAnswer: sqrt(11)\/21 + 3567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 8*v. Suppose 2*k - 5770 = 3*m, m - 1 - 3 = v. Suppose 2*d + k = 9*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 3\/2, 11\/2, -0.1, 3.5 in decreasing order.\nAnswer: 11\/2, 3.5, 3\/2, -0.1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**2 + 4*v + 20. Let k(l) = 6*l**2 + 2*l + 10. What is -4*d(m) + 7*k(m)?\nAnswer: -2*m**2 - 2*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -916600.72 rounded to the nearest ten thousand?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13665*x = 13689*x + 576 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 3:22 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5906035?\nAnswer: 5, 661, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -1b043b?\nAnswer: -1b043c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 5*v**3\/3 + 9*v**2\/2 + 15*v. Differentiate t(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1295468.274 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -32*d**9\/63 + 279*d**5\/20 + 10*d**2 + 20. What is the third derivative of l(i) wrt i?\nAnswer: -30720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(19\/3)*k**(1\/12)\/k)\/(k**(-7)\/k*k)**1 assuming k is positive.\nAnswer: k**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 6. Let k(b) = 22*b**2 - 7*b - 10. Let w(r) = 19*r**2 + 2 + 0 - 6 - 5 - 6*r. Let u(y) = -6*k(y) + 7*w(y). Determine u(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-10)\/(-11))\/((-204)\/1122)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(260))\/sqrt(5) - sqrt(52) - sqrt(52)) + 0)**2 - ((sqrt(26)\/((sqrt(2)*-2 + sqrt(2))*-2))**2 + 3).\nAnswer: 807\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5 - 3, -11 = -3*q - o. Let z be 1324\/24 + (-2)\/12. Calculate the highest common divisor of z and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggaggg. What is prob of sequence ag?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8783127g to kilograms.\nAnswer: 0.0008783127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759.6741 milligrams to micrograms.\nAnswer: 759674.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from zzzzswwswwz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -998248, -1996501, -2994754?\n\"Answer: -998253*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-558)\/(-15) + (-1)\/5. Suppose 36 = 2*s + 4*h, -2*h = 3*s - k - 13. Calculate the common denominator of 41\/11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 973 - 859. Solve -111 = -u - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 1105*y**2 - 12845*y - 37965. Let n(b) = 7*b**3 - 1103*b**2 - 12846*b - 37962. Let z(v) = 6*h(v) - 5*n(v). Solve z(r) = 0 for r.\nAnswer: -211, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**6*q)\/q)\/(q*q**11\/q)*q\/(q*((((q*q**(-1\/15))\/q)\/q*q)\/q)\/q)*q\/(q\/(q**(-1\/23)\/q)))**(-22) assuming q is positive.\nAnswer: q**(22594\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**2 - 300*k - 855 = 0?\nAnswer: -57, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1607 + 630 + 0*l - 1429 + l.\nAnswer: l - 2406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22454 + -22308. Calculate the remainder when 717 is divided by g.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c**2. Let f(y) = -4*y**2. Determine f(x(p)).\nAnswer: -784*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -151730 (base 8) to base 4\nAnswer: -31033120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - (-406)\/3. Calculate the remainder when 19 is divided by 3\/4 + b\/32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 98 = 4. Let o = -19 + y. Let z = -489 + 549. Calculate the highest common divisor of o and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 52997 = -71*p + 582943. List the prime factors of p.\nAnswer: 3, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.069 times 0.012?\nAnswer: 0.396828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*f = -18053, -936 = -2*i + 4*f - 8162. Let w = -39663\/11 - i. Calculate the common denominator of 0\/3 - 10\/7 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4591 is divided by (4 - (-195)\/20)\/(220\/352).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**5\/20 - h**4\/3 - 2*h**3 + 4*h**2 - 3. Let k(w) be the second derivative of g(w). Is k(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 (base 14) in base 7?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o = 51*o - 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + b = 12, 5*b = -4*p + 25 + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -10*x**5 - 85*x**4 - 260*x**3 - 350*x**2 - 210*x - 45 = 0.\nAnswer: -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -39*o**3 - 17*o**2 + 74*o + 151. What is p(-2)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 11 + 13. Let h be (-3)\/12 - 49\/(-4). Find the common denominator of 3\/h + 374\/v and -75\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - g + 0*g = 7, -3*g = 3*u - 15. Let f be (-6)\/2 - u*(-2)\/3. Which is greater: -2\/41 or f?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 1:08 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69512 or -69940?\nAnswer: -69512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -44 + (-4 - 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2755.1737*0.1.\nAnswer: 275.51737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000282962 to 6 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 2*z**2 + 48 - 34 - 47 + 50 + 3*z**2.\nAnswer: 8*z**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*32\/3 + 3. Let n = 149\/3 + z. Which is the nearest to 0.3? (a) -1 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -92996386.\nAnswer: 37198554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256567144 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.416 times 0.81?\nAnswer: 59.46696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043627 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00413622266 to six decimal places.\nAnswer: 0.004136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r. Suppose -7*w + 4 + 80 = 0. Calculate the lowest common multiple of s(-6) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, 0.5, 1\/6, -3304, 3 in increasing order.\nAnswer: -3304, -0.4, -0.2, 1\/6, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - m**4 + 0*m**4)*(15 - 15 + 169*m).\nAnswer: -338*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 251, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1641*y + 1732*y - 81961 = 186*y + 144316 for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23208 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 89*y + 540 = -180*y. Let o(t) be the third derivative of -t**5\/60 - t**4\/6 + t**2. Give o(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -269.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(-63) + (-3)\/(-7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 48138 divided by 16046\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3*i - 1048. Let o be r(-31). Solve 2*x = w + o*x - 8, 5*w = -2*x + 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97? (a) -1\/39 (b) -0.34 (c) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12752 divided by -6376?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 16*g**2 + 18*g + 22. Let f be h(-17). Suppose -80 = f*v - 7*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p - 20. Let b be r(7). What is the fourth biggest value in b, 0.2, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y + 7. Suppose -36 = -4*o - 0*o. Suppose -36 = -o*v + 27. Calculate k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 - 126. Suppose -k*r - 1307 + 4452 = 0. Is 37 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104952 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 the second derivative of 2*p**5 + 93*p**3 - p**2 - 3*p - 2420?\nAnswer: 40*p**3 + 558*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19077 or 8058?\nAnswer: 8058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*p + p**2 + 133*p - p**2 - 14*p**3 to v + x*p**3 + w*p + q*p**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37727 or 37734?\nAnswer: 37727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/3 + 16*l**4\/3 - 26*l**3 + 112*l**2\/3 - 49*l\/3 = 0. What is l?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-60) - (-1379)\/105. Let u = -10 + i. Solve -4*c - 4 = -u*f, -2*c + 3 = -4*f + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3194 - -75.7406. Let m = -76 + f. What is the nearest to 1 in 0, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 2. Suppose 5*w + 24*w - 87 = 0. Suppose -w*n = -x + 13, -3*x - 5*n + n = 0. What is v(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 615, 605, 601, 615, 659, 745?\n\"Answer: 2*w**3 - 9*w**2 + 3*w + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 263*v - 43. What is the tens digit of t(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 3*f + 3*r, -22 = 2*f - 3*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 - (-11 - -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -271\/4 in -5, -1\/8, 0.2, 1\/130?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 - 335405331*r**2 - 9374728172970960*r - 9374727837565632 = 0.\nAnswer: -55900888, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/9*(-67)\/(-402).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*r - 110 - 122, -5*r - 244 = 2*k. Let i be (-3 + (-36)\/(-8))*r\/(-18). What is the closest to 0.3 in -1\/9, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 8*r + 10. Let p be z(7). Solve -p*w + 2*w - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90783581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -594778.553 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c + 1. Let m(o) = o**3 - 8*o**2 + 2*o - 17. Let s be m(8). What is f(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(0*s + 3*s - s)*(0*s + 0*s - 2*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -407 - -1525030\/3747. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.93 + -33.93. Sort 2, -3, h, -2.\nAnswer: h, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 14 = -8*z. Suppose 3*u - 4*l = 2177, z*l = -11 + 1. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 92*q**2. Let i(f) be the second derivative of 7*f**4\/12 - 2*f - 42. Determine i(g(r)).\nAnswer: 59248*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k - 24 = 0. Let i(r) = -24*r. Let j be i(k). What is the greatest common divisor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(14\/8))\/4*-21. Let y(w) = -168*w + 43. Is y(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 203087 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, -4 in descending order.\nAnswer: 17, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -105.9352 and -6.3?\nAnswer: 99.6352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 2 - 119\/(-17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*q + 3684 = -47 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14284 is divided by 176.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*r + 3*r = 0, -w = 2*r + 12. Let j = -1\/40 + 9\/40. Which is the closest to j? (a) 1\/4 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 6*v**3 - 45.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 17 - 29. Let i be (-1)\/2 - 30\/(-12). Suppose -o*m = -i - 16. Let y(h) = -4*h + 3. Determine y(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2515*f + 6 = -2514*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2128 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 15*o**2 - 11*o + 11. Let w(j) = -8*j**2 + 6*j - 6. Suppose 4*z - 55 = -z. Let p(m) = 6*m. Let q be p(1). What is q*u(r) + z*w(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-12)\/(-172)) - 3. Let m = -2 + w. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*16\/(-12). Suppose t*z - 276 + 4 = 0. Suppose -4*f + z = -0*f. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21379*x**4 + 14171*x - 1?\nAnswer: -256548*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 32\/3. Let j(x) = -x + 8. Let k be j(10). Which is the second smallest value? (a) 2\/7 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7214*t + 43330. Determine h(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -151*t**5\/20 - 149*t**2\/2 - 31*t - 130. Let q(g) be the first derivative of h(g). What is the derivative of q(w) wrt w?\nAnswer: -453*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0157 - -0.0843. What is the nearest to -0.4 in 2, 1\/4, i, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2951988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*f + 3 = 0, 5*m = 4*m + 3*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 4. Let c be f(2). Suppose -c*s - 3783 = -21*s. List the prime factors of s.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 divided by -4?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1062)\/(-1534))\/((-6)\/(-26)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.36 - 12. Round m to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*y + 2*a - 6*a, 0 = -y - a + 14. Let c be y\/(81\/6)*15. Let l = c + 6. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 5*t)*(-5 + 3 - 3) - 3 + t + 3 + (-2*t + 2*t - 2*t)*(-2 + 2 - 1) + 5 - 5 - 3*t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 - 17*o + 54. Determine y(4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 - 2. What is d(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.31 + -1.33. Suppose 8*h = -36 + 4. What is the fourth smallest value in r, h, -5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5\/2 - 666*x**4 + 446209*x**3\/2 - 882453*x**2 + 216464*x + 1322688 = 0.\nAnswer: -1, 2, 3, 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2\/13)\/c)*c)\/c)\/c*c**23*(c*c**22)\/c*c*(c\/c**(-6\/7))\/c assuming c is positive.\nAnswer: c**(4278\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 107974.\nAnswer: 431896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -80600 divided by -1300\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680432326 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 19) + -5 + 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -104.8. Is i < -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -545 - 64*l + 71*l + 467. Determine q(16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p**3 + 205*p**2 + 206*p + 2. Give g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jooopoy. What is prob of sequence ooy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 19*n + 18*n + n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -229. Suppose -s = -5*f + 32. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3109780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(23*n + 160 - 7*n - 159).\nAnswer: 16*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31043743?\nAnswer: 53, 83, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8\/11 (b) 2.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 783 - 772. Let s(h) = 11 - 18*h - l + 21*h. Give s(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97927 = 12*v - 427987. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0 + 2 - 1. Let d(g) be the third derivative of -g**4\/12 - 7*g**3\/6 - 2308*g**2. Let t(w) = -d(w) + 2*l(w). What is t(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4764 - 1.6236. Which is the third smallest value? (a) 0.1 (b) n (c) -2\/5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 3*u - 3*u - 3. Let z(j) be the second derivative of 4*j**3\/3 + 3*j**2 - 4*j. Let y(w) = 7*q(w) + 4*z(w). Differentiate y(s) with respect to s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -93 + 17. Let l = -10 + o. Suppose -v = -l - 2. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l**2 - 16*l**2 + 8*l**2 + (-5*l + 3*l + 4*l)*(-2*l + 6*l - 2*l) to r*l**2 + q + p*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvcwcccicciiivm. What is prob of picking 1 w and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-2)\/(-4)*1. Let k(d) = 10*d**2 - 3. Let r(b) = -21*b**2 + 7. Let j(f) = c*r(f) - 7*k(f). Let y(n) = 2*n**2. What is j(y(u))?\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 9*p**2 + p + 11. Let b be c(-9). Solve -a = 4*x - 11, -b*a = -4*a - 5*x + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223597 is divided by 2484.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*r**3*s**3 + 4*r**3*s - 5*r**2*s**3 + 5*r**2*s**2 wrt s?\nAnswer: -1254*r**3 - 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4383191?\nAnswer: 4383191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2)))**(-1\/3)\/(a\/(a\/(a\/(a\/(a*(a**(1\/9)*a*a)\/a*a))))*a**(-4))*(a**(-1\/3))**19*a**5\/((a*a*a\/a**6)\/a) assuming a is positive.\nAnswer: a**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -33. Let q(p) = -p**3 + 15*p**2 - 10*p + 26. What is the units digit of q(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + -2*sqrt(130)*1)\/(-1*sqrt(30)\/sqrt(3)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 = n - 3*q, -q - 7 = -2*n. Let d be 3\/((n + 2)\/2). What is the units digit of d\/(-1 - 20\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63125 bigger than 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 - 2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*y, -3*y = -3*z + z + 13. Let p be ((-12)\/(-8) - z)*-12. Suppose p*o - 2*o = 4. Is -1\/9 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63, -275, -753, -1593, -2891?\n\"Answer: -16*h**3 - 37*h**2 + 11*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -111186*l**2 + 1065*l. Let m(s) = 209*s**2 - 2*s. What is -1065*m(j) - 2*x(j)?\nAnswer: -213*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 52*m + 89. Give n(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4951500?\nAnswer: 2, 3, 5, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2913166424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8749 - 8660. Calculate the greatest common factor of s and 22072.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/7 - 88*b - 3388.\nAnswer: -4*(b + 77)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82297?\nAnswer: 17, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.2 from -1.79.\nAnswer: 5.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 808060 and 660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 138 + -20 + -67?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5) + 7 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-1)\/3 + 348\/(-144). Factor -1\/2*k**2 + n + 1\/2*k**3 + 1\/4*k**4 - 1\/4*k**5 - 1\/4*k.\nAnswer: -(k - 1)**3*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/(-42))\/(-4)*46\/(5612\/183)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 1 j when three letters picked without replacement from {z: 8, j: 1, w: 6, a: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585374 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158805830.\nAnswer: 2, 5, 487, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 131 - 69 + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-19) + -130 + 126.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 + 6*a**3 - 48*a**2 - 2.\nAnswer: 6*a**3 - 48*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*f = -16, 3 - 4 = -5*q + 2*f. Let n be 4 - q - (0 + -1). What is the greatest common factor of n and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/11, 0.2, 4, -1\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 14*h**2 - 12*h + 10. Let m be i(-13). Is m*8\/12 + 21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2064*h - 1519*h + 61170 = -12950 for h.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -106*n**2 + 36*n. Let z(k) = -118*k**2 + 35*k. Give 5*a(y) - 4*z(y).\nAnswer: -58*y**2 + 40*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(900))\/sqrt(5).\nAnswer: -3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 34) + 15 - (-1 + -3 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9 + 7) - 2. Let o = m + 3. Solve o*a - 15 = a, 0 = -3*s - 4*a + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(1 - 2 + 0)*(-3018*n - 2 + 6645*n - 3300*n).\nAnswer: -327*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*p - 16, 4*p - 12 = -5*i + i. Suppose i = -2*v + 15. Let l = 4 + -3. Sort l, v, 5 in decreasing order.\nAnswer: 5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014649306?\nAnswer: 2, 11, 89, 518207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*g - 3*g - 10 = 0, 0 = 2*w + 3*g + 8. Let t(x) = 2*x**2 + 4*x. What is the smallest common multiple of t(-3) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = 13 - 37. Solve x + y - 8 = -j*y, -3*y + 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -880*h - 6165. Give r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + y + 23, -21 = 5*y - 6. Solve -m = 3*u - u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -57*c**2 - 771*c - 38. Let w(x) = 7*x**2 + 96*x + 5. Let j(m) = 6*l(m) + 46*w(m). What is the second derivative of j(z) wrt z?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z + 3. Let b be u(-6). Let y be ((-1)\/b)\/((-2)\/42). Let r = y + -2. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 10 (b) 3\/2 (c) 156\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(-2 + sqrt(2057) + sqrt(2057))**2 + sqrt(2057) + -1 + -4 + 1.\nAnswer: -253*sqrt(17) + 24690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.7318 - 8984.05.\nAnswer: -8969.3182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35048644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -205*5\/(25\/(-2)). Let t = -28 + l. What is the remainder when t is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 630, 2116, 5012, 9786, 16906, 26840?\nAnswer: 40056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.37845 and -0.25.\nAnswer: 7.12845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12633 + -12632.83211. Round x to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Let y(f) = -2*f**2. Let z(p) = -p**2. Let a(d) = 4*y(d) - 7*z(d). Calculate u(a(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 16, o: 4}. Give prob of sequence ooh.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -5198?\nAnswer: -32\/2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/70*(-3)\/6)\/((-6)\/77)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8330)\/27370)\/((-7)\/6)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 + d + 20. Let g be s(0). Let w be (-8)\/g - (-44)\/10. Find the second derivative of -i - 18*i**w + 1 + 21*i**4 - 1 wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/42)\/((-75)\/1800).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 5*o + 10, 2*q + 2*o = 807 - 803 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.251 + -21.851. Let u = -21.600066 - w. Round u to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6118*t**2 + 42817*t - 34. What is h(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979959 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -947, -3507, -7683, -13475, -20883?\n\"Answer: -808*k**2 - 136*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94764.\nAnswer: 2, 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.5. Let b = 7.4 - 7. Let n be (12\/(-45))\/(1988\/(-710)). Put n, o, b in ascending order.\nAnswer: o, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162))**2 - (2*(-1 + sqrt(2)))**2.\nAnswer: 8*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 32590*y - 53105405.\nAnswer: -5*(y + 3259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**15\/j)\/j)\/((j**(9\/2)\/j)\/j))**(2\/33) assuming j is positive.\nAnswer: j**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*p**3 - 72 - 261*p**3 + 29*p**3 + 25*p**3 - 98*p**3 with respect to p.\nAnswer: -708*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 2*h + 41, 1162*q - 12*h + 254 = 1160*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-3169*r + 17019*r + 8570*r).\nAnswer: -44840*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1190\/9 - 132. Let m be 3\/(-5)*(0 - 5). Sort -3\/5, u, m in increasing order.\nAnswer: -3\/5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5563246224 to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-188)\/4512 + (-5)\/(-84). Let p(q) be the third derivative of -11*q**2 + 0*q + 0 - 1\/7*q**3 + 1\/140*q**5 + w*q**4. Factor p(o).\nAnswer: 3*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 11241?\nAnswer: 11241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1\/117 (c) -4 (d) 0.5 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 849576, 849514, 849452, 849390?\n\"Answer: -62*v + 849638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-23)\/p)\/p**(-2\/15))**(-2\/13) assuming p is positive.\nAnswer: p**(716\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 - (-104 - -25 - -170)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = x + 25, -225*x + 3*q + 15 = -229*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -309 = -6216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = -18, -5*u + 2*u + 2*g = 11 - 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3500 is divided by 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 - -175. Suppose 5*x + 16 = -29. Put x, s, -1 in descending order.\nAnswer: s, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507390 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*g**3 + 13*g**3 - 58*g**3 + 98*g**2 + 30*g**2 - g in the form q*g + h + z*g**2 + x*g**3 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 133, 257, 353, 409, 413, 353?\n\"Answer: -2*n**3 - 2*n**2 + 144*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2*r**4 + 2*o**2*r**2 - 18*o**2 + 94*o*r**6 wrt r?\nAnswer: -72*o**2*r + 11280*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 - (-12 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-40)\/(k\/(k**20*k)*k))\/((k**(-18)\/k)\/k**23) assuming k is positive.\nAnswer: k**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 + 7*q**4\/12 + q**3\/2 + 5*q**2\/2 - 3*q. Is s(7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/2 + 0)\/(-2). Let v be (x\/5)\/(68\/85). Let d = 4 - 3. Which is the nearest to v? (a) -5 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2)*3\/(-2 + 3). Suppose 0 = -6*o + d*o + 15. Solve -6*g + g = -o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 366\/48 - -8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 190, 395, 600, 805?\n\"Answer: 205*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 11:00 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(245)*-2 + 3.\nAnswer: 3 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:45 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 73. Calculate the remainder when y is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-6))\/((-18)\/(-54)). Let v be 5\/2*(1 + 1). Suppose -2*m - 10 = 3*o + h, -v = -4*m + o. Is 9\/7 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/11)\/m)\/(m*m**(2\/23)*m)*m**(2\/11)\/(m*m**(1\/3)) assuming m is positive.\nAnswer: m**(-3286\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Suppose 0 = i + 1, b*i - 5*i + 10 = 5*t. Is ((-351)\/t)\/(-3)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/405984 and -53\/40?\nAnswer: 2029920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 6*l**2 - 5*l + 7. What is h(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o - 7. Let n be (-13 - 0\/(-2)) + 0. Let t = n + 18. Suppose -s = -t*s. What is m(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14160 - 13875. Calculate the greatest common factor of w and 19000.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -38*d - 12. Let r(u) = 2*u**2. Calculate r(l(z)).\nAnswer: 2888*z**2 + 1824*z + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 - 4*l**2 + 2969 - 2*l + 2*l**3 - 944 + 242 to w*l + o + f*l**2 + h*l**3 and give o.\nAnswer: 2267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -2*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2024 - -2.2.\nAnswer: 2026.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((1 + 1 - (136 + -116)) + (1 - 0)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 8*b - 3*b)*(b + 0*b + b)*(2*b - 4*b + 3*b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/14)\/((-1)\/(-348)). Suppose 15*s - 186 = -561. Let t = k + s. What is the closest to 1\/3 in t, 2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6155269 or 6155260?\nAnswer: 6155260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32182 greater than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2010 + 2032. Which is the biggest value? (a) -1\/16 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 10:54 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j - 1779 + 483. Suppose -6*i - 150 = -3*i. Let u = j + i. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 341, 548, 793, 1088, 1445, 1876?\nAnswer: 2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13491110.\nAnswer: 2, 5, 23, 58657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + -2 + -3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 - d**5\/20 + 7*d**3\/6 + d**2 - 14*d. What is the third derivative of c(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 + 0.07. Let o = -0.1261 + -0.1739. What is the second biggest value in 4, o, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**4 + o**3 + 3*o + 1. Let r(u) = -7*u**4 + 30*u**3 + 148*u**2 + 306*u + 175. Let y(m) = 20*g(m) - 5*r(m). Solve y(h) = 0 for h.\nAnswer: -19, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1186508 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.64, -0.1, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 484453 or 484454?\nAnswer: 484454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7560)\/(-960) + -2 + -6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**5\/60 - 17*r**4\/24 + 2*r**3 + 290*r**2. Give k(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1164 and -1171590953.\nAnswer: -1171592117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -a0?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1673120 and 480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 0, 2*o = 4*n - 3 - 5. Let y be n\/((6\/1)\/3). Suppose y = a - 0. What is a rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 43. Let o = z - -43.99999958. Round o to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 12 = -5*t. Is 7\/4 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19690068?\nAnswer: 2, 3, 37, 61, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 1)**2*-1 + -2*sqrt(75) + -1 + (-2 + sqrt(75) + 0 + 1)**2 + 3.\nAnswer: -30*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 1592471*p - 1592471*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/70 and (99\/12)\/(2457\/104).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*h + 20, -h - 5*v = -5 + 1. Solve -4*y + 0*y + 4 = -h*w, 0 = y - 4*w - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 - 8 = 0. Suppose -5*y = -5*j - 25, 9 = r*y - 0*y - 3*j. Let x(h) = -3*h + y*h + 2*h. Let o(k) = 4*k. What is x(o(g))?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1893500 to the nearest ten thousand.\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 893.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -431*q**2 - 335*q**2 - 729*q - q**4 + 53*q**3 + 91*q**2.\nAnswer: -q*(q - 27)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1587120 and 7208.\nAnswer: 84117360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25482 + -25449. Solve 52 = 17*i - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -9. Let p be (4\/(-3) + -2)\/(-4). Put p, s, 0 in ascending order.\nAnswer: 0, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3))**(-6))**(1\/12) assuming c is positive.\nAnswer: c**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + d**3 + 44*d**2 - 15 - 26*d**2 + 5*d - 7*d**2. Does 8 divide z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.89 take away 0.75?\nAnswer: -7.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - (2 - (1 + 15 + -5)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 3*o**2 - 3*o + 72. Does 19 divide i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5283 - -8992. List the prime factors of l.\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 33 = h, -117088*d = -3*h - 117093*d + 4 - 3 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + l)*(7*l**2 + 5*l**3 - 7*l**2) - 5*l**3 + 5*l**3 - 4*l**4.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688 + 670 - 212 = -270*o - 744 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - -40. Suppose -2*z + y = 38. Solve 3*l - l - 6 = 3*r, 3*l - z = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19936530 and 815.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -x - 3*x + 15, -x + 3 = -2*v. Let w(s) be the first derivative of -2*s**2 + 1\/3*s**3 + s + 30. Calculate w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = -22*m - 104 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from cgagaagggzbggggbg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272) + -2)**2 - sqrt(272)) + sqrt(272).\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 - -11618 - -3). Let y = 18426 - q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w**(-2\/3)*w)\/w*w*w)\/w)\/(w**(-2)*w*w))\/(w*w**(1\/4)*w**(-3)) assuming w is positive.\nAnswer: w**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*x**4 - 1390*x**3 + 52*x**2 + 56*x = 0. Calculate x.\nAnswer: -2\/11, 0, 2\/9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/5 and -119\/3048?\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - b**2 - b**4 + (5*b**3 + 0*b**3 - 2*b**3)*(-b + b - b) - 455*b + 455*b - b**4 - 31*b**3.\nAnswer: -5*b**4 - 31*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2386, 9600, 21602, 38392, 59970?\n\"Answer: 2394*r**2 + 32*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*x + 32 = 0, 3*x - 23 = -53*p + 55*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose -p*f + f = 2. Let v = 6 + f. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Suppose -52 = -5*b + 2*q - 6*q, -2*q + 38 = k*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/15*((-270)\/(-48))\/15?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -18. Let p = 398 + -386. Calculate the greatest common divisor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 + 1. Calculate g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -202?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 + 5*k + 5. Suppose -s + 18 = -4*u + 1, -3*s = 2*u + 5. Let g(h) = 3*h**2 - 3*h - 3. Give u*y(t) - 7*g(t).\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 17543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 17*u**2 + 29*u + 44. Let d be n(-15). Let r(f) = -183 + 6*f + d + 59 + 60. Let c(i) = 2*i**2. Determine c(r(x)).\nAnswer: 72*x**2 - 120*x + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(21\/72*-1*(-132)\/3080)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 4146.34382.\nAnswer: 4139.34382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4974*f = 4970*f + 194531, 5*l - 4*f = 324197. What are the prime factors of l?\nAnswer: 7, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10051072 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 346*c**2 - 224*c - 20663. Give y(172).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001065839333 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3146*t + 1913*t + 10 - 8 - 2.\nAnswer: 5059*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171375762?\nAnswer: 2, 3, 28562627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 + 30*y**2\/11 - 144*y\/11 + 216\/11.\nAnswer: -2*(y - 6)**2*(y - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 15 = 3*c, 5*m - 20 = 4*c - 0*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171795 divided by 15.\nAnswer: 11453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g - 300. Let p be h(-51). Suppose -2*r + 157 = 3*v, 2*r = 4 - p. Calculate the remainder when 250 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-7) - (-11)\/(-7) - 6. What are the prime factors of 2*((-2196)\/l - -2)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*(984\/(-9594))\/(20\/(-6))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 9*f**2 + 10*f + 2. Suppose -r = 2 - 12. Let x be d(r). Solve -34 = -x*h - 5*n - 12, -h - 3*n + 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 13*z + 15. Let q be i(12). Let u(y) = 0*y - 26*y**2 + q*y + 3 + 28*y**2. Let g be u(-2). Solve g*o + 34 = 3*j, 5*j = -2*o + 3 + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368\/30)\/8 - (-5)\/(-25).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.01061207 to three decimal places.\nAnswer: 1.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Solve 7 + 1 = -m - 5*n, -h*n = -5*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/5)*t)\/(t*t**(2\/7)))\/(t*t\/(t*(t*t\/((t*t**(1\/3))\/t)*t)\/t*t)*(t\/(t*t*t**(-1)\/t*t))\/t) assuming t is positive.\nAnswer: t**(397\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Let g be 2 + (-1)\/((-6)\/(-9)). What is the third smallest value in 2, g, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -33\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*u - 3, -2*u - 4*g = 11 - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11161, -11267, -11451, -11719, -12077, -12531, -13087?\n\"Answer: -i**3 - 33*i**2 - 11127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -23, -1\/10, 1\/6 in ascending order.\nAnswer: -23, -1\/10, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182379, -182421, -182493, -182601, -182751?\nAnswer: -182949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**3 + 16*r**2 - 1551*r + 14. Let y(t) = 13*t**3 - 23*t**2 + 2326*t - 20. What is -7*f(z) - 5*y(z)?\nAnswer: -2*z**3 + 3*z**2 - 773*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6839.2 - -8458. What is x rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 64. Let s be f(31). Solve 0 = 3*i, -4 = -2*o - 2*i + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddkdk.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.61 - -0.01. Let b = n + -2.4. Let w = 0.12 - 0.22. Sort 0.1, b, w in decreasing order.\nAnswer: 0.1, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/5 + 107\/20. Let l = 11 - 14. What is the smallest value in l, -2, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -60, -51, -30, 9, 72?\n\"Answer: r**3 + 2*r - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*s**6 + 173*s**3 - 2*s**2 - 5828*s?\nAnswer: 3240*s**3 + 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38407427 by -8.\nAnswer: -38407427\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = s - 22 + 4, 5*s + 4*a = 153. Suppose 0 = -s*g - 7546 + 25432. What are the prime factors of g?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11\/(-55))\/(4*(-27)\/(-5580)))\/(12\/72)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 4*t + 1\/3*t**3 + 4 + 3*t**2. Let m be (-1 - (0 - -3)) + -2. Give q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -443?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x - 2*p, x = -3*x + 2*p + 18. Is (-274)\/(x*(-3)\/78) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 1:11 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, a: 3, j: 7, q: 5, u: 1}. What is prob of sequence aaz?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 9*z + 3. Let c be y(4). Let q be -1 + (-1 - (c - 2)). Put -4, q, 6 in decreasing order.\nAnswer: 6, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 12 + 90. Suppose -2*m + 7 = -1, i = m + a. Suppose -4*x - i = -3*c, -5*c + 4*x = x - 45. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1440)*2 + (sqrt(1440) + -2*sqrt(1440))*3)\/((sqrt(30) - sqrt(30)*3)\/sqrt(6) - (3*sqrt(20) - sqrt(20))).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 - -112103433?\nAnswer: 112104024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-2) + 263\/2.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 13. Let q be k(-6). Suppose -6*i + 5 = 5*l - i, -5 = -q*i. Let g = l - -8. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.4 + 91.4. Let y = -62.5 + t. Let o = 0.01 - 6.01. Sort o, y, 0.2.\nAnswer: o, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d + 9. Let a(h) = -401685*h. What is a(y(w))?\nAnswer: 3213480*w - 3615165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -941\/10. Put 5, -2\/5, d in decreasing order.\nAnswer: 5, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**5\/60 + a**4\/24 - a**3\/18 + 3*a + 2. Let o(k) be the first derivative of w(k). Find g such that o(g) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 7 + 10 + (5 - 3 + 3)*(0 - 2 - 2))*(3*a - 2*a - 2*a)*(1 - 3 + 0).\nAnswer: -126*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4761532 is divided by 467.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y - 54*y - 78*y + 0*y in the form j + w*y and give w.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {f: 3, w: 2, s: 2, a: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0.02, 3\/7, 0, -2.\nAnswer: -27, -2, 0, 0.02, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011377569 to seven dps.\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2363 (b) -3 (c) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993 + 904 + v + v.\nAnswer: 2*v - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -15. Suppose -4523 + 1758 = -m*d. What are the prime factors of d?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-301)\/(62307\/(-3450)))\/(5*(-8)\/(-60))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2181.2 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 13 - 27 = 0. Let -13*c**w - 2 + 3*c**2 + 2 + 15*c - 5*c**3 = 0. What is c?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + sqrt(3) - sqrt(3))*-2)**2 - (2*sqrt(75) + sqrt(75)).\nAnswer: -15*sqrt(3) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 3)\/52*2. What is the fourth smallest value in -3, -0.1, -4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1008*x - 121990. What is k(-121)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 15*f - 35. Factor 55*w**3 + 6*w**4 - 3*w**4 - 33*w**3 - w**f.\nAnswer: 2*w**3*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 2172, 5226, 9686, 15660, 23256, 32582?\nAnswer: 43746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0146219 rounded to 4 dps?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -43216?\nAnswer: -7\/43216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 1\/5, -4, -14\/13, 0.4, -1.64, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200233 is divided by 89?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 + 40 + -66.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9 + (-9)\/(189\/(-1778)). Let a be 1872\/n - 6\/21. Are a and 194\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -170\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012709 plus -1476?\nAnswer: -1475.9987291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10145, -20286, -30427, -40568?\nAnswer: -50709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.36 or 146\/3?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2 + 12742*t + 40589641 = 0.\nAnswer: -6371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) - (-8)\/5. Let r(w) = 2*w + 2*w - g*w. Let u(l) be the second derivative of l**4\/12 + 9*l. Calculate r(u(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {p: 3, i: 4, s: 2, h: 8}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auuaauuvquaauaanav. What is prob of sequence qan?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 at least as big as -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3918.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s - 460. Calculate the lowest common multiple of 36 and h(58).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*t**3 + 2*t + 22*t**4 - 23 + 21*t**4 - 39*t**4 - t wrt t.\nAnswer: 48*t**2 + 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2992176 and 4.\nAnswer: 2992176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -15401903 and -15401903 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 160? (a) 0 (b) -3 (c) 0.3 (d) 48\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -2200321?\nAnswer: 2200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*r - 96 = 0, 5*a + 3*r = -2*r + 245. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1264 (b) 1\/102 (c) 12 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 54796\/57. Let n = u - -10590\/11. Let z(l) = -l - 6. Let m be z(-6). Is n less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -815, -1614, -2399, -3170, -3927?\n\"Answer: 7*l**2 - 820*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/((-8)\/10 - -1). Suppose 0 = -5*p - 4*i + f, -i + 0*i = p - 10. Is (18\/p)\/((-6)\/(-165)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*u**3 + 0 + 0 - 10*u**3.\nAnswer: 311*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5552\/5 != -1111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -46*p + 2. What is a(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1 + sqrt(243) + sqrt(243) + 4 - (1 + -1 + sqrt(243))) + 0 + sqrt(243) + 5 + (-2*sqrt(243) + sqrt(243))*5))**2.\nAnswer: -19440*sqrt(3) + 82332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62257274*f**2*j**2 - 975*f**2*j + 24*f**2 + 2*f*j + 112*j + 2 wrt j?\nAnswer: -124514548*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t - 2 = -38*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13288*q - 558059. Calculate v(-42).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1817 + -1808. Let o(s) = -s**3 + 2*s + 1. Let q be o(-2). Suppose -5*n = -w + 3, q*n - 4*n - 5*w - l = 0. Sort -11, 5, -5, n in increasing order.\nAnswer: -11, -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-10))\/m)**(-50)\/((m\/(m*(m\/(m**(-7\/4)\/m))\/m)*m)\/(m*m**(-7)\/m)) assuming m is positive.\nAnswer: m**(1979\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1749 and 295.89.\nAnswer: 517511.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z = 17*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 20 = 11. Suppose 4*x = -w*q + 3*x + 62, -2*q - 3*x = -32. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5040)\/(-144))\/((-147)\/315)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and 21\/5182?\nAnswer: 15546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*p - 20, 35*y + p = 31*y + 4. Suppose 0 = l - y*b + 2*b, 0 = b + 2. Solve -t - 13 = l*t - f, -t = 2*f - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761854.\nAnswer: 2, 167, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3982*k**2 + 6159*k**2 - 3914*k**2.\nAnswer: -1737*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 7*u - 35 = 0. Suppose 0 = 4*m + m - u, -4*m - 311 = -5*z. Let p be 1*(-1 - (1 + -11)). Calculate the highest common divisor of z and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -295, 459, -3, 9 in descending order.\nAnswer: 459, 9, -3, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 334. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434 and 2790?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**16*f)\/f**(6\/11))**(3\/17) assuming f is positive.\nAnswer: f**(-480\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-304)\/(-704) + -2*(-2)\/(-22). Which is the closest to w? (a) -1\/4 (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {e: 6, m: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 9. Let d be (-1)\/2 - (-94)\/(-4). Let j = v - d. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1)\/3 - (-1394)\/(-1230).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*f**2 + 59*f**2 + 7*f**3)*(0 - 4 + 2) - 557 + 12*f**3 + 557.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3143*i = a - 3142*i - 12, 9 = a + 4*i for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 798.\nAnswer: 59052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1389, 1413, 1437, 1461, 1485?\n\"Answer: 24*x + 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(6\/36). Suppose 3*m - 5*y = 53, -6*m + 36 = -4*m - 4*y. Calculate the least common multiple of 2\/b - (-646)\/57 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(-153)\/816?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -316*s**2 - 11*s + 315*s**2 + 23 - s. Calculate n(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 z when three letters picked without replacement from {z: 4, v: 1, g: 2, f: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 7. Let k be 34\/136 - (-3)\/(-20). Let s = -1 + 0.6. Put s, k, y in descending order.\nAnswer: k, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 69.28, 1\/7, 5, -0.4, 0.5, -3, -2?\nAnswer: 69.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*m + 1824 = -39*m. Let h(l) = -l**2 + 7*l + 55. What is h(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6*m + 11*m = 10, j + m + 7 = 0. Let p = j - -12. Solve -4*i + p*i = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25270 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 14*x**2 - 6*x + 301. What is s(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + (2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, p: 7}. Give prob of picking 4 p.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqwzlzfzlzf. What is prob of sequence lflf?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/764814 and -23\/391734?\nAnswer: 16061094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**4 + r**3 - 3*r**2 - 2. Let g(n) = 4*n**4 - 6*n**3 + 781*n**2 + n - 271. Let s(a) = 6*c(a) + g(a). What is the derivative of s(i) wrt i?\nAnswer: -8*i**3 + 1526*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**4 + 53019116*r - 33674441.\nAnswer: 8*r**3 + 53019116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41\/28? (a) -0.11 (b) 4 (c) 12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirty-two sevenths of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 5*k + 15, 0 = 2*y + 4*k. Suppose 0 = z + y*z. Suppose 4*r + h = 2*h + 14, 5*r - 4*h - 23 = z. Solve -9 + 3 = r*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*5\/(-12)*2. Suppose -13*n + t*a + 1080 = -11*n, -3*a = n - 562. Calculate the remainder when n is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18250, 18262, 18282, 18310?\n\"Answer: 4*l**2 + 18246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, n: 2, z: 3}. Give prob of picking 2 e.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*s**3\/2 + 132*s**2 - 183*s\/2 - 45 = 0. Calculate s.\nAnswer: -30, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/39 (c) -5\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 6:01 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7.5, 0.2 in decreasing order.\nAnswer: 7.5, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 - 2. Let u(t) = -13*t**2 + 5. Let z(o) = 10*r(o) + 4*u(o). Let y(m) = 3*m. What is y(z(a))?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 7509302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 34 (b) 40 (c) 1\/7 (d) 2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 11*s**2 + 2. Suppose 4*p - 10 = 2*p, -v - 1 = 2*p. Let d be t(v). Suppose -3*r = d*c - 2*r - 21, -2*c + 9 = -3*r. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*z + 5*z - 6*z)*(0*z - 2*z**2 + 0*z).\nAnswer: -58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 221764, -1.\nAnswer: -8, -4, -1, 221764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 552343, -0.3, 14 in increasing order.\nAnswer: -0.3, 14, 552343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/30*l**6 + 0*l + 0 + 49\/2*l**4 + 6*l**2 - 7\/5*l**5 - 686\/3*l**3. Suppose t(d) = 0. Calculate d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/145440 and 67\/45991360?\nAnswer: 413922240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314 divided by -15878.\nAnswer: 157\/7939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 3 + 1 + -122. Let k = w - -136. What is the greatest common factor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 18*i + 1978. Let w(s) = -25*s - 2967. Determine 5*w(h) + 7*x(h).\nAnswer: h - 989","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/484*-33*11\/9.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -767, 2, 3 in descending order.\nAnswer: 3, 2, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13653, -13642, -13613, -13560, -13477, -13358?\nAnswer: -13197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 1016. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) -2\/13 (b) -0.5 (c) 0.2 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3895456 = 198*o - 14525086. List the prime factors of o.\nAnswer: 3, 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, n: 1, r: 1, g: 2, j: 2}. What is prob of sequence ojg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-280)\/15) + (-33)\/216\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 414.3 + -405. Let n = f + -9.3. Let v = -0.03 - 3.97. Which is the closest to 2? (a) n (b) v (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(0 + 1 + 0) + 2 - 3 + 2)*(-318*p**5 + 197*p**5 + 506*p**5).\nAnswer: 1155*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + 22. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134108, 268212, 402314, 536414, 670512, 804608, 938702?\n\"Answer: -s**2 + 134107*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -310452 - -310310.473. Round k to 0 dps.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-51))\/((-169)\/507)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 7. Let g(j) = j**3 - 1. Let p(y) be the second derivative of -y**5\/10 + 5*y**4\/12 - 2*y**2 + 2*y. Let r(n) = 3*g(n) + p(n). Calculate r(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 14*j**2 + 80*j + 545. What is a(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 4:13 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123324 and 5258.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290568 is divided by 41507.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.00948 + -0.08048. Let x = v - -0.071. Sort 2, 0, x in ascending order.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 201, 465, 979, 1827, 3093, 4861?\nAnswer: 7215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 73.71. Let d = p - -0.59. Let m be 4 + (-1 - 4\/(-2)). Which is the second biggest value? (a) m (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, 11\/755, -2\/11, 0.4.\nAnswer: -4, -0.5, -2\/11, 11\/755, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*w**3 - 10*w**3 + 16*w**3 + (-4*w - 2*w + 4*w)*(-4*w**2 + 2*w**2 + w**2) + 0 + 0 - w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28378427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42415 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 248, 1\/54, -1, 5\/3?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71550 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-98))\/(20\/14). Let d = -2.7 + 2.2. What is the nearest to -1\/17 in k, 0.5, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j + 2*j + 2*j)*(-2 + 0 + 3)*(3*j - 2*j - 5*j)*(4 - 3 + 2)*(0 + 2 - 1) to the form r*j + n + t*j**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) + -6*sqrt(20)))**2 - ((-3*sqrt(405) - sqrt(405)) + -4).\nAnswer: 36*sqrt(5) + 5449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2 + 46*r - 23. Is i(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 724\/4947 + -18\/97. Let n = -47\/102 + x. What is the nearest to -1 in n, -3, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 100. Calculate the remainder when u is divided by (-1)\/4 + ((-147040)\/(-4480) - 8\/14).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1))\/(p*p\/p**(-16))*(p**(-11))**41)**5 assuming p is positive.\nAnswer: p**(-2330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.1, 11, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 785 + -354. Let q = z - 430. Let c = 9 - 14. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*w - 7675, 4*y - w - 4219 = 1921. Suppose -58 = 4*a + 22. Is 1\/4 - y\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 2.093?\nAnswer: 0.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*f + 3 = -2*l + 327*f, 3*l + 7 = 5*f for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2832 divide 179033376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -24. Calculate the remainder when 32 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9786 and 1864?\nAnswer: 39144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + q + 19, 2*q + 4 = -4*b - 2*q. What is the tens digit of 34 + -3 + b + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, -1\/12, 1.547858?\nAnswer: 1.547858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 10. Let c(d) = -5*d. Let o be c(-1). Suppose -3*g + o*m = -0*m - 40, -i*g - 4*m + 12 = 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23164 times 0.2?\nAnswer: 0.046328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 + s. Let n be p(4). Is (2\/n)\/((-1)\/(-158)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2677.62*1.23\nAnswer: -3293.4726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 6*y - 3*y)*(-45*y + 3 + 106*y - 15*y) in the form q*y + f*y**2 + u and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*s**2 + 32*s**2 + 32*s**2 to i*s**2 + m*s + v and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/((-30)\/100).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/30 + x**3\/5 - 2*x**2\/5 - 24*x - 19. Let p(q) be the first derivative of y(q). Solve p(k) = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 6\/11, 5, 1, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 15*z - 23. Let i(l) = 4*l**2 - 29*l + 46. Let q(d) = 3*i(d) + 5*m(d). Let a be q(6). Let w = 23 - a. Solve -1 + w = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 178 + -102. Suppose 469*q - 2332 = 257*q. Calculate the remainder when 1 + c - 3*1 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 4*g**2 - 4*g**2)*((g**2 - 2*g**2 + 2*g**2)*(0*g + 5*g - 3*g) + 8*g**3 + 9*g**3 + 2*g**3).\nAnswer: -147*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56240 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000246142333 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 1 + 7, -2*s + 48 = 3*s + 11*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1294627.3 and -11919215.\nAnswer: -10624587.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 = v, -5*v = -5*z + 7 + 13. Suppose -2*s + 0*s = 0. Let q = v - s. Let x(i) = i**2 + 4*i - 2. Determine x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 + -272.13. Which is the third biggest value? (a) 1 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 w when three letters picked without replacement from {p: 1, w: 3, c: 1, o: 2, b: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - (1 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 145?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4755 - 4813 + 3222*n + 9573)*(5 - n**4 - 5).\nAnswer: -3222*n**5 - 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r = -95*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*q + 58*q = 282*q - 884 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26599 is divided by 13206.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-one halves of a micrometer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3988922*f**2*q - 17*f**2 + 2*f*q + 3*q - 28331854 wrt f?\nAnswer: 7977844*q - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*z + 114*z + 82953*z**2 - 82944*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.02 (c) 0 (d) 41 (e) 3 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = 5. Suppose 0 = z*v - v. Solve -3*n + 2 = -4*r - 4, v = -4*r + 2*n - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -1. Let u = -18 + 18. Suppose -5*h - 43 = s*m - 13, u = -m + h. Let v(y) = -y - 4. Determine v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11883 and 106248?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -665637124 to the nearest 100000.\nAnswer: -665600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 114\/(-22) + 2\/11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31320452 - 100?\nAnswer: 31320352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**9\/393120 - y**7\/8190 + y**5\/20 - 25*y**2. Let j(c) be the third derivative of k(c). Factor j(b).\nAnswer: 2*b*(b - 2)*(b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 43388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 4*d - 59. What are the prime factors of r(-18)?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41596799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294185?\nAnswer: 5, 17, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*v**3 - 80*j**2*v**2 - 5*j*v**2 - 2*v**3 wrt v.\nAnswer: 6*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*q - 378 = 286*q. What is the lowest common multiple of 220 and q?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 37\/5 of a second?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5173398 and 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -1 + sqrt(75))**2 + 1 + sqrt(3) + -4 + sqrt(3).\nAnswer: -18*sqrt(3) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 75373*w**2 - 5*w + 5. Is p(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -447 - -453. Let v(n) = -4*n**2 - 2*n**2 + 4*n + n**2 + 7*n**2 - 5 - 3*n**2. Give v(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -684 (c) 4 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/14)\/((-6)\/21). Let u = 54 + -215\/4. Factor -w*o + 0 + u*o**2.\nAnswer: o*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let s(k) be the second derivative of -1\/2*k**4 + 0 + 0*k**3 + 0*k**2 + 2*k. Give o(s(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*a + 101*a = 89*a + 597465. Does 55 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/542)\/(25\/870). Let z = x - -2\/271. Suppose 5*n - 2*n - 12 = 0. What is the second biggest value in n, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -111*a + 9. Let x be f(-1). What is the greatest common factor of 270 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 762501*i**2 - 3*i + 2. Let s be l(2). Suppose 2*f + 3*f - s = 0. Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a - 513. Let d be z(33). Solve -d = -206*r + 211*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 + -181. Put v, -0.3, 11\/3 in descending order.\nAnswer: 11\/3, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*l + 3557, -5*l = 5*k - 9*k + 14228. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -0.8. Let w = 0.3 - q. Which is the second smallest value? (a) w (b) -0.5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 399\/(-33) - (-5 - 2). Which is the fourth biggest value? (a) -1\/8 (b) -4\/7 (c) -5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 2250?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 282.9517 nanograms?\nAnswer: 0.2829517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 1 + 1)*(12834*v**2 - 25099*v**2 + 12530*v**2) - 5*v**3 - 5*v**2 + 5*v**2 to w + d*v**2 + b*v**3 + h*v and give b.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -5 + 12 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16911 is divided by 1409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 116470*f**3 + 32*f**2 - 7*f**4 + 116489*f**3 + 9*f**4 = 0 for f.\nAnswer: -15\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (544 - 577) + (-2260)\/(-68).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u - 12. Let x be l(-5). Find the third derivative of -4*p**2 + x*p**2 + 21 - 7 + 4*p**3 + 0*p**2 + 5*p**3 - 3*p**6 wrt p.\nAnswer: -360*p**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1282874 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 4*b + 0*b**3 + 0*b**7 + 2\/5*b**5 + 0*b**2 - 3 + 4*b**4 - 1\/28*b**8 + 0*b**6. Find the third derivative of l(r) wrt r.\nAnswer: -240*r**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/72 and 31\/11240.\nAnswer: 101160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0 - 7*x + 6 + x. Let s be d(5). Is (-4)\/(s\/21)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 3*u + 2. Let m be x(-3). Suppose m*n = 5*n. Suppose -3*o + 9 = -n*o. Solve o*z - 8 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ad05d6 - 5?\nAnswer: 4ad05d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 398 = 26*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86509 is divided by 235?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 4*f = 367185. Let c = f + -1355645\/48. What is the common denominator of 79\/10 and c?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1423344 times -13\nAnswer: 18503472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (-92 + 54 - -46) - (0 - -26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 1 (b) 4 (c) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63144 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 6*z + 5. Suppose 52 = 2*c - 8. Let i(x) = 14 + 3*x + 13 - c. What is 3*b(r) + 5*i(r)?\nAnswer: 3*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1419\/(-99))\/(-43))\/((-13)\/351).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59186.\nAnswer: 2, 101, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -54*a**3 + 4*a**2 + 2*a - 4. Calculate the remainder when u(-2) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -3*u**2\/2 - 3*u + 2. Let j be s(-2). Find w, given that 4*w**3 - 2 - 3*w**j + 5*w**3 - 6*w + 4*w**4 - 2*w**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 332234, 3, 0, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -3, -0.3, -0.1, 2\/59, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 27. Let t(m) = 6*m + q*m - 27 - 3*m. Let r be t(9). What is the greatest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -6*j**5\/5 + 2*j**4\/5 + 16*j**3\/5 + 8*j**2\/5 = 0?\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 2*h - 3*b + 38, 26 = -2186*h + 2184*h + 5*b for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2259*t - 7985*t + 14755*t - 2263*t - 2253*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*(16\/12)\/4. Let f = l - -5. Suppose f = -y - y + 10. Solve 2 = -y*c - 4*k, -4*c - 4 = -k + 5*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010011 (base 2) to base 9\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/10 - -3)*-35. Let p be n*-1 + (-5)\/5. Let t be ((-2)\/3)\/(p\/6). Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50748, -101553, -152358?\n\"Answer: -50805*y + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/16108243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 586\/201 smaller than -19\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 3*i**3 - 5*i**3 + (-157*i - 307*i + 237*i)*(-i**2 + 0*i**2 - i**2) to the form a*i**3 + o + b*i + f*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210 - -151221025?\nAnswer: 151221235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -3*f**5\/4 + 21*f**2\/2 + 14*f + 22. Let b(i) be the first derivative of c(i). What is the derivative of b(q) wrt q?\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -226, -1891, -6422, -15253, -29818, -51551, -81886, -122257?\n\"Answer: -239*h**3 + h**2 + 5*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -5*m**8\/336 - m**7\/21 + m**6\/24 + m**5\/6 - 5*m**2 - 2. Let k(r) be the second derivative of b(r). Solve k(d) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244122431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -3 (c) 1\/6 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + -1)*3 - sqrt(1008)) + 2*(0 + sqrt(1008)) - (2*(sqrt(112) + 1) + sqrt(84)\/(sqrt(192)*-1)).\nAnswer: -5 + 161*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -2*sqrt(1152) + -4*sqrt(1152)*-2)**2.\nAnswer: -248886 - 5184*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46992593724012 minus -3?\nAnswer: 46992593724015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -23. Suppose u - 1 = 2*r, -4*r - u = u + 22. Calculate the remainder when (2 + -3)*r*13 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + r + 2, -2*r + 5 = 15. Let g(z) = 3 - 2 - 2*z**o - 8*z**3. Let t be (2\/5)\/((-10)\/(-25)). Give g(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 25630?\nAnswer: -25626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -10. Let n be 26\/(-4)*2*-12*(-4)\/(-312). Which is the fourth smallest value? (a) n (b) 0 (c) 1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*v**2 - 6*v + 13*v - 7*v to f*v**2 + h + x*v and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 45. Let k = x + -101. Let y = k - -21.2. What is the second smallest value in -0.5, y, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2. Let w(p) = -p**2 - 807. Determine w(m(d)).\nAnswer: -4*d**4 - 807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 55. Calculate the remainder when 1 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*x - 265*x - 15761*x**2 + x**3 + 187*x - 420 + 15815*x**2.\nAnswer: (x - 7)*(x + 1)*(x + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 155829341*c*m - 301*m - 28819 wrt c?\nAnswer: 155829341*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*79270474\nAnswer: 39635237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 35 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 590*c**5 - 65779*c**4*l**2 - 100520*c*l**2 + 101*c*l wrt c?\nAnswer: 11800*c**3 - 789348*c**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30856020 = -100*l + 23445280. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48\/5 of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3*x**3 - 2*r**3*x + 21*r*x**5 - 57*r*x**2 - 7*r*x - 2*r + 29*x wrt x?\nAnswer: -6*r**3*x + 420*r*x**3 - 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -962986 > -962984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d. Let a(f) = 2195*f**2 - 4*f + 110. Determine i(a(k)).\nAnswer: 17560*k**2 - 32*k + 880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289787.5 millilitres to litres.\nAnswer: 289.7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 757*k**2*x**2 - 1603*k*x**2 wrt k?\nAnswer: 1514*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k + k**2 + 48*k + 2142 - 2151 + 11*k**2.\nAnswer: (2*k + 9)*(6*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/65 and 96\/256*(0 - 3).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 3:25 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4421170 and 0.3.\nAnswer: -1326351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/58, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**2)*b*b**2)**(10\/7) assuming b is positive.\nAnswer: b**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 268 + 142 = -2*v, 0 = d - 5*v - 107. What are the prime factors of d?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23591?\nAnswer: 31, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2445*m - 2. Let n(o) = 8*o**2. Determine n(w(x)).\nAnswer: 47824200*x**2 + 78240*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*b = 5*b - 6, k + 10 = 5*b. Suppose -4*l = 11 - 55. Let v = l + k. Solve 5*z = -9 - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 342*i + 4. Let t = 12 + -9. Let g be u(t). Round g to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*o - 8. Let d = 4 + o. Is (55\/20)\/(d\/8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8072 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226339 a multiple of 1585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Suppose 321 = 4*k - 5*g, 121 + 196 = z*k - g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8886, 8799, 8700, 8583, 8442, 8271, 8064?\nAnswer: 7815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67865*s + 79 + 62 + 80 - 221)*(2*s**2 - 4*s**2 + s**2) in the form j + u*s**3 + g*s + h*s**2 and give u.\nAnswer: 67865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17059*u + 6700*u + 8640*u)*(2*u**3 - 2*u + 2*u) to x + i*u**4 + s*u**2 + z*u + p*u**3 and give i.\nAnswer: -3438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 2. Let l be j(-2). Solve 3*d - 4*d + 1 = l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 - 2*l**2 + 12*l - 4. Let z(u) be the second derivative of u**5\/20 - u**3\/6 + u. Let b(o) = 4*n(o) + 20*z(o). Determine q so that b(q) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 - w**4 - w**4)*(3 + 0 + 10).\nAnswer: 13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + f = 183, 0 = 4*c + 4*f - 2*f + 254. Put 2, 3, c in descending order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**4\/12 + 11*x**3\/6 + 53*x**2\/2 - 32*x. Is l(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443358\/19 greater than or equal to 181229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 2239303?\nAnswer: 2239285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46257, 47683, 49107, 50529, 51949, 53367?\n\"Answer: -c**2 + 1429*c + 44829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + b + 158 = 0, -2*l + 112 = b. Let d = l - 161\/3. What is the nearest to 0 in 2, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26026549\/238 + 765505\/7. Let g = a - -54\/17. Let v = 4059 + -81157\/20. Find the common denominator of g and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = 4*v - 52, -3174*v + 3170*v - 3*z = -13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -678 + 732. What is the least common multiple of i and 33?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2.9 (c) 1 (d) 7\/4 (e) 0.4 (f) 0 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3643880 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -43. Let z = -17 - 16. Let d = z - w. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 31. Let y be (-2)\/(-2) - (-2 + 3). Suppose 5*r - 5*d - 45 = y, -r - 5*d + 8*d = -11. Solve -2*t = -5*q - k, -5*t - r = 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 1\/3165 (b) -0.5 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 + 1 + 1 - 3 + (0 + 2 - 1)*(1 - 1 + 2) + 11 - 75 - 47)*(-2*z + z + 2*z).\nAnswer: -109*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-304)\/(-228))\/((-2)\/6) + -25 + 32\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - 8 - (-5 + 32 + -26).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82910, -165819, -248728, -331637?\n\"Answer: -82909*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -27*r - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843733335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 288804365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9247?\nAnswer: 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d**3 - 9*d - 9. Let z(f) = 5*f**3 - 2*f - 2. Suppose -5*w + w = 8. Suppose -2*r = -r - 9. Determine r*z(y) + w*l(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*n - 201943 = 734408. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -539, -882, -1241, -1622?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8442588 divided by -127918\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3289 and 2520869.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(15\/7))**(6\/11)*((w\/w**(26\/5))\/w)**(3\/8) assuming w is positive.\nAnswer: w**(-1203\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16297964 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + 1922?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1028887870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39774730\/53 or -750468?\nAnswer: -750468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 317968997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51985\/592 - 88)*12\/1?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 - 424*q**2 + 824*q + 3360 = 0. Calculate q.\nAnswer: -2, 4, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 + 172136*y - 172140 = 0 for y.\nAnswer: -43035, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33116 divided by -1948.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/105*-149 - -10?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijiiiijjijjijjsiiii. What is prob of picking 3 i?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m - 29*m - 10 = 0, w - m - 214 = 0. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**3 - 2330*t**2 - 3258*t?\nAnswer: 18*t - 4660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(-5 + (5 + 0 + 1*sqrt(252) + -5)**2 + -5).\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.3. Let s = 2 - -2. Which is the nearest to 0.2? (a) s (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 2417075 = 65*q - 91*q. List the prime factors of q.\nAnswer: 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 3*k**4 - 3*k**4)*(-1 + 1 - 1) - 6*k**4 - 8*k**4 + 3*k**4 + (-3*k + 3*k + 2*k)*(2 - 2 + 1)*(2046*k - 2046*k - 13*k**3).\nAnswer: -35*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvgvggnvn. What is prob of sequence gv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2519 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -151.\nAnswer: -4\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6452232 and 16\/9.\nAnswer: 19356696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2 - 124*q - 16. Determine l(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1147.1 - -1337. Let y = 190 - f. Which is the third biggest value? (a) -32 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-9) - 2)\/((-2)\/9). Suppose 0 = -v*o - 5*a + 2763, -11*a + 7*a = -3*o + 2736. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**4 - 14*b**3 + 17*b**2 - 15*b + 10. Let w(q) = q**4 - 7*q**3 + 9*q**2 - 7*q + 4. Let z(t) = 2*c(t) - 5*w(t). Suppose z(r) = 0. Calculate r.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 24*h - 1. Let z be n(1). Let g = z - 3. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.22 and 0.18441.\nAnswer: 0.4093902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1292\/(-52) + (-1596)\/10374?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2312301313 (base 4) to base 16\nAnswer: b6c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136992 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2618 = 2*f, 140 = -2*q - f + 1188. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and -10.42.\nAnswer: -10.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*r*t - 3*q**2*t**2 + 2*q**2 + q*r*t**2 + 2*q*r*t - 2*q*t**2 + q*t - 34*t**2 - 1539*t wrt t.\nAnswer: -6*q**2 + 2*q*r - 4*q - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -8.7. Let x = r - -0.3. Let d = 65 - 65.1. Which is the nearest to d? (a) x (b) -2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7812 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 r(y) = -58*y - 336. Give r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16202730521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -418638, -1674522, -3767650, -6698022, -10465638, -15070498, -20512602?\n\"Answer: -418622*r**2 - 18*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131 or -1.31?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 4775412*d.\nAnswer: -d*(d - 19101648)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:27 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + 87.6. Let n = 203 - c. Let j = n - 113.99933. Round j to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3431*y - 5999*y - 4874*y)*(2*y + 2*y - 3*y).\nAnswer: -7442*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2153 - 72\/(-8)) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + z - 43 = 0, -4*m + 46 + 14 = 4*z. Calculate the remainder when -1*(-2)\/(-10) - 1233\/(-15) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 14*t - 17. Let c be h(15). Sort 0, c, -13, -3 in descending order.\nAnswer: 0, c, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 108?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -66385870908 minus 46?\nAnswer: -66385870954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i = 173*i + 393. Sort 9, -1, i, -5, -15 in increasing order.\nAnswer: -15, -5, i, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5 - 100*y**4 - 264*y**3 + 836*y**2 - 470*y = 0. What is y?\nAnswer: -47, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:45 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4\/5 (b) 8\/9 (c) -0.1 (d) 3\/4 (e) 25\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {w: 8, b: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*x - 19 - 8 + 21 to n + h*x and give h.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6426, 25436, 57024, 101196, 157958, 227316, 309276, 403844?\n\"Answer: u**3 + 6283*u**2 + 154*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*f - 92, -2*w - 5*f = -14 - 6. Calculate the greatest common factor of w and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbbgbbggp. What is prob of sequence gpg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -225?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 420 = 6*s. What is the greatest common divisor of s and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576387 is divided by 9124?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/20 - x**4\/12 - x**3\/6 + 13*x**2\/2 - x. Does 4 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1447514*c**4 - 5490054*c?\nAnswer: 17370168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-2 + 3 - 2) - 4 + 0 + 8 - 4 - 6 + 3)*(-5*t + t + 3*t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9640067 divided by 1?\nAnswer: 9640067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8*u = -s - 11, -8 = s + 3*u. Suppose -3*k = -2*t + s, 2*k - 5*t + 5 = -3. Let m = -0.1 - 0. Which is the nearest to m? (a) k (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 10 (c) -1\/6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 148241731?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.8? (a) -27\/8 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7*s + 6. Let n be (-936)\/15 - (-6)\/15. Let l = 68 + n. Give o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528357 and 5088?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-238) - 73656\/(-1836)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -61683\nAnswer: -2\/61683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1272 = -3*h + 396. Let y = 76 - h. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 38\/8. Let h be (-12)\/5*(-5)\/2. Solve u*q + h = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - -1.3. What is the second smallest value in -2\/3, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/506 and -23\/462.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a = -45*a + 5*n + 9, -1 = 2*a - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -207 (c) 2\/13 (d) -8 (e) -18 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1075*z**2 + 1 - 1 - 2092*z**2 to k*z**2 + b + a*z and give k.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 2*l**2 - l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.67 + 24.67. What is the second biggest value in 8, -2\/11, f, -0.2, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:35 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -23) + 6 + (2 + (16 - 0) - 7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 92, 1, 2\/7, -0.2 in descending order.\nAnswer: 92, 1, 2\/7, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9995*v**3 + 6643*v**2 + 96202762*v?\nAnswer: -59970*v + 13286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-24)\/(-15) + -2). Let i be n + 2 + (-1)\/1. Suppose 35 + 229 = 8*w. What is the greatest common factor of i and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stkd when four letters picked without replacement from {b: 1, s: 2, k: 1, d: 1, r: 1, t: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0698 - 1.5698. What is the nearest to m in 3, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 7*u - 5. Let g be f(-8). Let b = -3 + g. Let a = -2.01 + 0.01. What is the closest to 2 in a, b, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 10 + 81\/16*h**4 + 0*h - 15\/4*h**3 + 3\/4*h**2. Suppose o(r) = 0. What is r?\nAnswer: 0, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 6*u**2 - 2*u**2 + 2 - 5*u**2.\nAnswer: -u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 976 and 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1036 - 1036 - 261*f**2 + (-4*f + 3*f - f)*(2*f - 4 + 4) + 0 + f**2 + 0 + f**2 + f**2 - f**2 - 2*f**2 + 0 + 0 as k*f + x + v*f**2 and give v.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22022002101 (base 3) to base 6\nAnswer: 3300144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -762.398 rounded to the nearest 10?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -839*k + 4849. Give r(6).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-3))\/((-1)\/(-6)). Let z(l) = l**2 - 7*l + 7. Let q be z(6). Let f = j - q. Solve 6 = d - 2*h, -3*d + 11 = -f*h - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/34716 and 121\/1742112?\nAnswer: 19163232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1473, 167 in descending order.\nAnswer: 1473, 167, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2299) + 0) + 3*(sqrt(2299) + sqrt(2299)*1) + 4 + sqrt(2299) + 3*(-1 + sqrt(2299)) + -2 + 4)**2.\nAnswer: 396*sqrt(19) + 82773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4360 + -3946. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (21 - 42)) + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 15*w**2 + 0*w**2 - 17*w**2 - 5*w.\nAnswer: -32*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-35*242\/(-308)))\/(4\/10)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -9. Let h(q) be the third derivative of -q**4\/12 - q**3\/2 - 16*q**2. What is the remainder when 43 is divided by h(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -2.3. What is the closest to 1 in d, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 393\nAnswer: -16\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 48847284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-6))\/((-2)\/(-3)). Suppose 5*m - n = 15. Solve m*t + 0 = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 - 159. Which is smaller: 6\/11 or s?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 296.9 - 249.6. Round b to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**4 + 8*z**4 + 11*z**4 - 4*z**2 + z**4 + 4*z**2 + (4*z**4 - 3*z + 3*z)*(-3 + 2 + 3).\nAnswer: 23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2251*r**2. Let m(a) = 23*a**2 + 4*a. Let o(n) = 86*n**2 + 15*n. Let i(t) = -15*m(t) + 4*o(t). Give q(i(f)).\nAnswer: 2251*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, q: 2, t: 6, a: 1}. Give prob of sequence oqoq.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2138 (b) -2 (c) 3 (d) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f + 3. Let o(q) = -q. Let b(y) = n(y) - 5*o(y). Let s(v) = v. Let h(d) = 2*d + 1. Let z(g) = 2*h(g) - 6*s(g). Calculate 2*b(j) - 3*z(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - -115899?\nAnswer: 115852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44124434\/1245 + -106324\/3. What is the common denominator of n and 93\/2?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)*((w\/(w\/(w\/(w*w**(6\/13)*w*w))))\/w)\/w)\/(w**(-1\/2)*w**(2\/5)*w) assuming w is positive.\nAnswer: w**(-1078\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c*m**4 + 4*c*m**3 - 53*c*m**2 + c + m**3 wrt m?\nAnswer: 264*c*m + 24*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 689 divide 546377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2. Let z(x) = -2*x**2. Suppose 14 = 4*w + 4*p - 5*p, 2*w - 5*p + 2 = 0. Let f(c) = 3*c**2. Let k(g) = w*z(g) + 3*f(g). Give k(b(y)).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i + 0*i + 2*i**2 + 8*i as x*i + j + k*i**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905*q - 4 = -906*q. Which is the smallest value? (a) q (b) -0.5 (c) 5 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 20834.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206331*v**3 + 49*v**2 - 71775316*v?\nAnswer: 1237986*v + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21892925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5595756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**3 + 3*u**2 - 13*u + 6. Let x(b) = -86*b**3 + 32*b**2 - 138*b + 66. Give 32*n(g) - 3*x(g).\nAnswer: 2*g**3 - 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/((-10)\/((-150)\/27))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, -1, 0 in ascending order.\nAnswer: -15, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2. Suppose 7*r - 2 = 9*r. What is g(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-40)*(-780)\/468*((-243)\/6)\/(-9)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -12. Suppose w - o + 1 = -2*o, 3*w = 4*o + 18. Suppose 0 = -0*j - 2*j + w. Is j at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*q = -313*q - 11264295. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.71, -4, -1, -15, -2\/5, -0.04, 5\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/1 - 0\/1. Calculate the highest common factor of t and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r. Let k(p) = 5*p**2 - 3*p - 2. Calculate -k(b) + 4*v(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951547516.\nAnswer: 2, 41, 43, 59, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1*(sqrt(76) + sqrt(76)*-4) - sqrt(76)))**2 + -5)*-2.\nAnswer: -9718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(14\/3)*(q**39\/q)\/q*q**(-6)*q\/(q**18\/q) assuming q is positive.\nAnswer: q**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 8*b - 32718 = 0. Let g = 7825 - b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 16, 3, -0.2 in decreasing order.\nAnswer: 94, 16, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 939849 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: Are 835554\/31 and 26953 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**2 + 2 - 7*d**2 + 25*d + 56*d**3 + 2*d**2 - 24*d as n + i*d**2 + m*d**3 + p*d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 26*v - 1. Let p(f) = 25*f - 2. Let b(r) = -6*a(r) + 5*p(r). Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.77020803891 take away 267?\nAnswer: -261.22979196109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d + 51*d = -68. Calculate the greatest common divisor of d and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7133*n**3 + 22*n**2 - 131?\nAnswer: 42798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277376140, -277376139, -277376138, -277376137?\nAnswer: -277376136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 + 74797*x**3 - 523545*x**2 + 1121859*x - 673110 = 0. Calculate x.\nAnswer: 1, 3, 74790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from araerhaallraliharir?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*i - 19 - 13, 0 = -5*p + 4*i + 34. Suppose -5*o + 4*y = -44, 23 - 4 = 3*o + 5*y. Suppose 0 = -2*c + c + o. Solve p = c*g - 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 4, -10\/3, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*b**2 - 33525505*b - 181996630.\nAnswer: 5*(b - 957877)*(7*b + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.39499 millilitres in litres?\nAnswer: 0.09239499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 2*q**2 - 2*q**4 + 2*q**3)*(-q - 4*q - q + (0 - 2 + 4)*(3*q + q - 5*q) - 1 + q + 1 - 3 + 3 - 2*q).\nAnswer: 18*q**5 + 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211010212211110 (base 3) to base 7.\nAnswer: -202012254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -363 or -16399\/45?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -13. Suppose k - 2 = 2*f. Let r(t) = -t**2 + 6*t + 10. Let h be r(f). Solve -h*q - 5 = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*z - 4*t + 38, 0 = -z - 3*t + 23. Let u = z + 32. Suppose 0 = 3*n - u - 44. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 + 10*g + 1. Let c be w(2). Let s(n) be the first derivative of -2 - 4*n - 1\/2*n**2. Calculate s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -122*z**3 - 2*z**2 + 5*z - 71. Let w(j) = -j**3 + j**2 - 2*j - 1. Let t(r) = -b(r) - 2*w(r). Find the second derivative of t(o) wrt o.\nAnswer: 744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 153 + -151. Let p = 15.2 + -25.2. What is the closest to w in p, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124153741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9*11\/(-62 + -4)*-22598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -12. Suppose 0 = -10*a + c*a - 30. Solve -b - a = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-165) + (-4)\/(88\/(-130))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 - 162. Let d(k) = 10 - 14*k + k**2 - 4 + 9*k. What is the least common multiple of t and d(6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 718, 709, 688, 649, 586, 493, 364, 193?\n\"Answer: -r**3 - 2*r + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 74371 (base 8) to base 11\nAnswer: 212a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 25*p + 79 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -0.609.\nAnswer: 1.1571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -25, 15, 127, 341, 687, 1195, 1895?\n\"Answer: 5*y**3 - 9*y**2 - 10*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -140, -205, -272, -347, -436?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 10*i**2 - 6*i - 19. Let v(f) = 2*f**3 - 20*f**2 + 14*f + 39. Let q(m) = 9*u(m) + 4*v(m). Determine q(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 4) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -92575401.11?\nAnswer: -92575400.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29451682129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2156, 2150, 2134, 2102, 2048, 1966, 1850, 1694?\n\"Answer: -u**3 + u**2 - 2*u + 2158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) - (sqrt(2057) + 1 + sqrt(2057))) + -3 - sqrt(2057) - (sqrt(2057) + -1 + 4))*-6)**2.\nAnswer: 16632*sqrt(17) + 668232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 4*k. Suppose -6 = 2*u - 3*v + 17, -5*v = 2*u - 17. Give z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z + 30 + 170 = 0. Sort -4, 159, 1, z in descending order.\nAnswer: 159, 1, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*3\/1. Let p be (4\/(-5))\/(2\/15). Let i = f - p. What is the remainder when i is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (988 - 988 + 44*d)*(3*d - 4*d - d).\nAnswer: -88*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 7*l - 34. Let b be v(-14). What is the greatest common divisor of 136 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2 + -4)**2 - (-2 + sqrt(1008) + 1) - 3*((2*sqrt(1008)*-1)**2 + -5).\nAnswer: -8032 - 204*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.5, -2, 2, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15005321 (base 7) to base 5.\nAnswer: -330214130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a - 8*a + 10*a. Let s(t) be the first derivative of 17*t**3\/3 - 344. Give z(s(q)).\nAnswer: -102*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72251490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.557 + 0.357. Let m = -3 + 1.8. Let t = m - p. Which is the nearest to -1? (a) t (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 - -280. Calculate the least common multiple of (1840\/69*-1)\/(2\/(-3)) and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*a**3 + 3113395*a**2 + 189269664*a wrt a.\nAnswer: 108*a + 6226790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -0.4 (c) -12 (d) -0.0414\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-z - z + 6*z + (-16*z - 87 + 87 + (-2*z - 2*z + 2*z)*(3 - 1 - 1))*(3 + 4 - 3)).\nAnswer: 68*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -20, 0 in descending order.\nAnswer: 6, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/((-715)\/78)*(-26)\/(-12). Solve -v - 4 = 12*m - g*m, -4*m + 16 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -56. Let r = 1 - 4. Let d be (18\/(-3))\/(r\/2). Sort z, d, 3 in increasing order.\nAnswer: z, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -26*b**3 - b**2 + b. Let y be z(1). Let v be (y\/(-8) - 3)*-6. Is v less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1510*p + 604816 - 604816)*(-1 + 3 - 4) to the form g + x*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792 and 792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + 3*sqrt(143))\/sqrt(11) - sqrt(13))**2 - (sqrt(156)\/sqrt(4))\/sqrt(3)) + ((-1*-2*sqrt(52))\/sqrt(4))**2 + 1.\nAnswer: -sqrt(13) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/3)\/(((j\/(j\/(j\/j**(1\/11))))\/j*j)\/j*j) assuming j is positive.\nAnswer: j**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 2\/9 (c) -4 (d) 0.2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -d9?\nAnswer: -d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 760 + 4*y - 6*y.\nAnswer: 2*y + 760","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2. Let o be (2\/(-6)*0)\/p. Let t = -5.8 - -0.8. Which is the nearest to -2\/11? (a) o (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 151*u - 5377. What is w(57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/(q*q\/(q*q*q\/q**(-3))))\/q*q*q))**19*q**10\/q*q**(-7) assuming q is positive.\nAnswer: q**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 4. Let u be (0 + (-3)\/(-9))*-9. Give p(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*b = -98*b + 5879448. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/1452539 or 0?\nAnswer: -10\/1452539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -416, -5, 2, -3, 3 in decreasing order.\nAnswer: 3, 2, -3, -5, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 1.18 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -4*j + 178. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 287*o**3 - 27*o**2 - 122*o + 13. Is t(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 3. Let l be m(0). Suppose -l*u - 3*g = -42, -5 + 1 = -2*g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14412, -14414, -14416, -14418, -14420, -14422?\nAnswer: -14424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98)*2 + sqrt(98))*-1*-2 - (sqrt(98)*-2 + -5 - (0 + sqrt(98) + -1))) + -1)**2.\nAnswer: 378*sqrt(2) + 7947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**2 - s - 6. Let f be n(-4). Let j be 100\/f - (-6)\/(-27). Let m = -11 - -16. Which is the closest to 2\/7? (a) -5 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/21)\/(w\/(((w\/(w*w*w**(-34)*w))\/w)\/w)) assuming w is positive.\nAnswer: w**(607\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07230259 rounded to three decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 210856120 divided by -42171224?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -19 - 42 - (6 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 5*w + 4*s - 42, 6 = w + 4*s. Let m be ((-3)\/(-1))\/(w\/(-100)). Let a be (-78)\/52 - 106\/(-4). What is the highest common factor of a and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 52 = 4*c + 35 - 45, -2*n = -5*c - 56 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/120 + 3*f**5\/20 + f**4\/24 + 47*f**3\/6 - 36*f**2 - 3*f. Calculate the remainder when 142 is divided by q(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1720742?\nAnswer: 2, 433, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3433646 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 11*k**2. Let h(j) = 3*j**3 + 34*j**2. Suppose -15365*y = -15407*y + 714. Determine y*t(n) - 6*h(n).\nAnswer: -n**3 - 17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205 + 205. Let q = -743 + 33433\/45. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -k, -26*m + 9 = -17*m - 8*m + 5*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 16*o + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*s - 199 - 27, s + 2*y = 82. Calculate the highest common factor of 2997 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.17879 rounded to 2 decimal places?\nAnswer: 47.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 10. Let b(v) = -v - 16. Let k be b(-12). Let u be q(k). Factor -1\/3*w**u + 2\/3 + 1\/3*w.\nAnswer: -(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/589 and 32\/8785617.\nAnswer: 166926723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 13*k**2 - 13*k - 15. Let z(r) = -r**3 + 6*r**2 - 6*r - 7. Let o(n) = -6*b(n) + 13*z(n). Calculate o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-18)\/(o\/o**(2\/23)) assuming o is positive.\nAnswer: o**(-435\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/6 + 2*d**4 - 9*d**3 + 18*d**2 - 27*d\/2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306681678 to the nearest integer?\nAnswer: 17512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from fmfmmffdf.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1135 - -334001?\nAnswer: 332422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103101 + 13123?\nAnswer: 2122230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22336 and 3490?\nAnswer: 111680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5023 * -362\nAnswer: -1818326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/41 and -35\/492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 571*j**3*n**3 + 1643*j**3*n**2 + 24*j*n**2 + 37*n**3 wrt n.\nAnswer: 3426*j**3 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 43777 = -36*v - a, -43761 = -3*v - 3*a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-1 - 0) - -4. Let c = -14 - -10. Suppose -f = 2*f. Put b, f, c in descending order.\nAnswer: b, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2136 take away -796689?\nAnswer: 796688.7864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*q + q = 3*q - 12, -4*q - 21 + 3 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101716541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/3 + 431*s**2 + 156520*s + 32253956\/3 = 0. Calculate s.\nAnswer: -602, -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200021 (base 3) in base 13?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5\/4 - 30*z**3 + 135*z**2\/2 + 405*z\/4 - 567\/2 = 0.\nAnswer: -7, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -399 (c) -3.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/392263?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 470876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.50821l in millilitres?\nAnswer: 35508.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172132 is divided by 84448.\nAnswer: 3236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 188932.27 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - 3*g + 4. Suppose 5*d = 68 - 13. Let v = d + -7. What is the least common multiple of l(3) and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 9*b**2 - 35*b + 107. Calculate z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1539) + -4 - sqrt(1539))*2)**2 + sqrt(1539)*2 + -2 + -4.\nAnswer: 54 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-5) - 2 - (-14)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 - 4*k - 24. Let h be a(8). Calculate the highest common factor of h and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -62, -49, -52, -77, -130?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87 + 9627 - (2 + -3)?\nAnswer: 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4672*y - 4674*y - 4*u + 142 = 0, -26*y + 3*u + 1571 = 0 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4 + 14. What is the derivative of 0 - z + 2 - 3*m**3 wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -3*t - 24, -4*t = -5*h + 34. Suppose 5*n = 6*n - h. What is the greatest common divisor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 1 + 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3, 7, 0.5, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0689 + -0.1. Round s to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(648) + sqrt(10)\/sqrt(5)*-4 + 2*(sqrt(288) - (0 + sqrt(288) + sqrt(288)) - sqrt(288))*-1)**2.\nAnswer: -15376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 4. Let m(n) = 2*n + 6. Let s be m(-4). Let f be h(s). What is the third derivative of -v**3 - f*v**2 + v**3 - 3*v**5 wrt v?\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129092 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2286)\/459 + 1 - 40\/(-10)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 599.0496m?\nAnswer: 599049600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*j**2 - 3*j + 3*j)*(0*j - 2*j + 3*j) - j**3 + 2*j**3 + j**3)*(-7*j + 2*j + j)*(-5 + 5 + 1)*(7 + 0 - 3).\nAnswer: -144*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 1\/3*u**3 + 1\/6*u**4 + 0 - u - 1\/2*u**2. Is w(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 105, 2\/35, 2\/11?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1590 = -9*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87147212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q + 182 = 69*q. Solve 3*n + q = -2*a, -4*n + 0*a + 2 = -3*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3880.839 + -6.839. Let x = m + -3874.0001997. Round x to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - 4) - (-7 + 15 + -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5785.99l?\nAnswer: 5785990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/((-500)\/30) + (-77)\/(-5). Let u(b) = b + 9. Let j be u(-4). Put j, -5, 4, o in increasing order.\nAnswer: -5, 4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15115?\nAnswer: 5, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236.887 millennia in decades?\nAnswer: 323688.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/6 - (3 + -6). Let s(w) = -w**3 + 3*w**2 + 6*w - 3. Let n be s(4). Suppose -n*c + c = 20. Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-352)\/(-33) - 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l**2 + 32*l**2 - 6*l**2 - 49*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160.82 + 164.82. Let m = 0.9 - 0.5. What is the nearest to -1 in k, 3\/16, m?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 73. Let t be o(-25). Let h(x) be the first derivative of 0*x + 3*x**t + 4 - 5\/4*x**4 + 0*x**3. What is the second derivative of h(k) wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 1 (c) -72365 (d) -2 (e) -8 (f) 4 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, 0.8, 4, -29\/20?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208, -1200, -1190, -1178, -1164, -1148, -1130?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54150\/(-4180) + (-2)\/44\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r + 14 = 5*p, r - 3*p = -9. Let o(a) = -26*a - 3 + r + 25*a. Calculate o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001747 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1276941193 + 0.121756.\nAnswer: 1276941193.121756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 v, and 1 l when four letters picked without replacement from {l: 3, x: 1, e: 6, v: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i - 4. Is q(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34377 is divided by 11458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514865?\nAnswer: 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24878336.\nAnswer: 2, 7, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10)*1))**2*1 + 4 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - y**2 - 2*y**2 - 3*y**2 + 6*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929964060?\nAnswer: 2, 3, 5, 23, 224629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 2*q**3\/3 + 199*q**2 + 396*q + 652. Let o(f) = 0. Calculate f.\nAnswer: -198, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -4*(sqrt(432) + -1) + -2 - (sqrt(432) + 5 + 0 + sqrt(432))*-6)**2.\nAnswer: 6912*sqrt(3) + 36016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s + 525 = -38*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194387203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -96*k**3 + 6*k**2 + 118*k + 592. Does 124 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.382cm in micrometers?\nAnswer: 133820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5488*r - 34968 = 6760*r + 1920 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102231 + 110?\nAnswer: 103001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47\/15 + -3 + (-124222)\/(-285)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8663039 to the nearest integer?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 11*x = 5*o, x + 3*o - 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2))\/(10\/(-25)). Suppose -a + 15 = -3*z - 12, -5*a = -x*z - 85. 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: Suppose 5*s + 2*o = 270, -3*s + 2*o + 162 = 3*o. Suppose -r = j - 25, s = 4*r - 2*r - 2*j. Solve 4*g - 4*h + r = -h, -6 = -3*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v + 57*v - 4*s + 32 = 0, -2 = -2*s for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 195, 2 in increasing order.\nAnswer: -3, 2, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 20 = -5*n, n + 0*k = -4*k - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*b**3 - 36*b**2 + 36*b**2.\nAnswer: -367*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*v**5\/9 + 11636*v**4 - 52348*v**3\/9 - 157084*v**2\/9 + 17452*v\/3 + 52360\/9 = 0. What is v?\nAnswer: -1, -1\/2, 1, 13090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-28))\/(13\/(245 + 28))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85\/4 - -95\/4. Let l(b) be the first derivative of 4 + 0*b + p*b**4 + 0*b**2 + 7\/3*b**3. What is the third derivative of l(o) wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.6 + 14. Let p = h - -2.6. What is the third biggest value in -1\/4, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175.99 - 179. Let u = 0.01 + l. What is the nearest to 3 in -2, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:12 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28384145051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 4:40 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 11\/5, -0.0271, 0.91, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:55 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = 0. Suppose i = -5*d + 27 + 133. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/60 - m**4\/24 - m**3\/3 - 7*m**2. Let v(k) = 0 + 3 + 3*k**2 + 2*k - 4*k**2. Let r(f) = 3*h(f) + 2*v(f). Factor r(o).\nAnswer: o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {r: 4, v: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2719200 by 906400.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, 2.9, 5\/4, -2\/10771 in ascending order.\nAnswer: -5, -2\/7, -2\/10771, 5\/4, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 2. Let a be r(0). Suppose -5*u - 57 = -a*g, -7*g = -2*g + u - 210. Suppose -j + 5*b - 7 = -g, j + 2*b = 6. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q + 417*q + 714 + 177*q - 714.\nAnswer: 666*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 + 1358*o**2\/9 - 4088*o\/9 + 2728\/9.\nAnswer: 2*(o - 2)*(o - 1)*(o + 682)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oocggjoogocoi. What is prob of sequence gj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 127*b + 2943. Calculate z(97).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 5\/(-2))*2. Let h(l) = 4*l + 9. Let p(i) = -4 + 17 - 391*i + 397*i. Calculate r*h(g) - 5*p(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31 + (4 - (2 + 0)). Let l = 38 - 27. What is the highest common factor of l and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -112?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2864 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 207794 and 207775 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11912.90311 - 11913. Let z = 0.098 + l. Round z to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + 2 + (-35 - -38).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y. Let m(f) = -178*f**2 + 34*f**2 + 103*f**2 + 590*f**2. What is s(m(h))?\nAnswer: -2196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 10:02 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/459 and -13\/4874121.\nAnswer: 4874121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(128) - sqrt(128))*-2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.625802597 + -0.6258. Round r to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 139*h**2 - 844*h - 5. Give z(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Sort 10, w, -5 in ascending order.\nAnswer: -5, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2133 + 2131. Let n(c) = -c**3 - c**2 + c - 2. Determine n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:31 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 71*x - 13. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - c**4 - 38*c**3 + 39*c**3 - c**2 - c**4 - 6*c in the form h*c**3 + r + t*c**4 + p*c**2 + w*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 3*u + 0*u + 2*u + 1 - 1 + 3*u - 2*u + 0*u + 6*u - 3*u - 2*u + (1 + 2 - 2)*(4*u + 3*u - 5*u) + 0*u + u + u + 3 + 11*u - 4*u - 5.\nAnswer: 14*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o + 11. Let f(s) be the third derivative of 2\/3*s**3 + 1\/12*s**4 + 0*s + 111*s**2 + 0. Determine 11*f(p) - 4*q(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*x**3 + 59*x**3 + 59*x**3 + 57*x**3 - 224*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82966429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 172 = -614 - 39. Sort -1, p, 22 in decreasing order.\nAnswer: 22, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = 5*k, -3*k + 24 = 2*p + 2*k. Suppose -45*q + 341 = -14*q. Calculate the remainder when 16\/3*p\/2 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4500 and 43500.\nAnswer: 130500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*n - 7*n + 170, 2*n + 34 = b. Let k = 28 - b. Let i be 1\/(-3) - 14\/k. Solve -2 = i*g + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 16027239*n - 16027242 = 0. What is n?\nAnswer: -5342414, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 3*o = -248, -240 = -2*m - o. Suppose 0*c - m = -2*c. Suppose 2*n = -g + c, -2*n + n - 149 = -3*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-420)\/(-8))*-5*-2\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1475709528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 49191.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43183 + -43180.79946. Let s = -212 + 209.8. Let k = s + y. Round k to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19500 - 3*m**2 + 9756 + 9744 + 24*m**2.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqcuu. Give prob of picking 1 c and 1 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016060252 rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1100 and 70400.\nAnswer: 70400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-5 + (12 - -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, 3, -4 in descending order.\nAnswer: 11, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3. Suppose 0 = m + 3*m. Let k be v(m). Solve -k*c + c = -3*q + 3, q - 3*c - 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -110 - 1330. Is i a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*b**5 - 11*b**3 - 144*b**2 - b + 17 wrt b.\nAnswer: -7380*b**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)\/(-14) - (-14 - 11139\/(-658)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 2*o**2 + 4*o**2)*(-3 + 1 + 3)*(1 + 4 - 3).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48614 - 33157. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154\/9, 5, 13, 1\/4.\nAnswer: -154\/9, 1\/4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 11:05 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3140\/7 - 25113\/56. What is the closest to 43 in 1, -5, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9*-12 - 164\/(-40). Let m = -0.03 + 0.43. Sort d, -0.04, m, -0.3 in increasing order.\nAnswer: -0.3, -0.04, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 0 - (1 + (13 - 23)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - 4. Let p(y) = 36*y + 4*y**3 - 4 - 36*y + 7. What is -3*d(x) - 4*p(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 8:00 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j - 3 + 3\/2*j**2. Suppose -30 = -8*i + 18*i. Calculate a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 - 41520*b**3 + 114927360*b**2 - 106039644160*b = 0. What is b?\nAnswer: 0, 2768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 4150*h + 171*h**2 - 348*h**2 + 178*h**2 to a*h + b*h**2 + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (9851*u**2 - 5815*u**2 + 17335*u**2)*(1 - 1 + 2*u) as g*u**2 + v*u**3 + z*u + f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f + 2*f)*(-2 - 1 + 5) + 0 + 0 + 2*f + (-6 + 6 - 11*f)*(-1 + 0 - 1).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 38 + (-8)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 3006 = -222. Let g = 1015 + p. Is g a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c = 4*u - 5, c + 2*u + 1 = 0. What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 17, -5, 5 in decreasing order.\nAnswer: 17, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17824271 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1569046 and -32\/119673.\nAnswer: 14121414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313213.\nAnswer: 97, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 22 + 11 + 10*b**2)*(3*b - 4*b + 0*b)*(36 - 31 + 6*b**2 - 9*b**2).\nAnswer: 30*b**5 - 53*b**3 + 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 0*q + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-19 + 2 + -7 - ((-27 - -11) + 15))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1502 - -1501. Let q = 0.2 - 0.2. What is the nearest to q in 5, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from mccscscjjjcsjcsccjcc?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972*y**2 + 0*y**3 - 54 + 18828*y**2 + 998*y**2 - y**3.\nAnswer: -y**3 + 18854*y**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138047443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 3276432 (base 9) to base 5\nAnswer: 422404300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -0.2 (c) -30\/11 (d) -1 (e) 110.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.08504 grams in nanograms?\nAnswer: 37085040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/315 - 7*p**6\/180 - 53*p**5\/90 - 9*p**4\/4 - 4*p**3 - 863*p**2. Solve l(w) = 0.\nAnswer: -3, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774012729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.957217 decades in centuries?\nAnswer: 0.8957217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 34, 1, 0.4, -0.953?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*p = 231*p - 352. Suppose -39 = -p*j + 173*j. Calculate the remainder when 51 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100100000111110 + 1?\nAnswer: 10000100100000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 5*u**6\/6 - 37*u**4\/12 - 17*u. What is the third derivative of h(w) wrt w?\nAnswer: 600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050 a factor of 1048302788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + 2 - 2)*(-77*g**2 + 40*g**2 + 12*g**2).\nAnswer: 175*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:23 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.380461nm?\nAnswer: 0.0000005380461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19801 - 52115 = -13*c. Let l = c + -44335\/8. What is the common denominator of (-69)\/33 - (2 + 0) and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 23*m**2 + 1413*m - 43. Give n(33).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240 - 235. Let b(p) = 8*p**3 - 44*p**2 + 100*p - 92. Let d(o) = 9*o**3 - 45*o**2 + 97*o - 91. Let z(h) = a*b(h) - 4*d(h). Factor z(y).\nAnswer: 4*(y - 6)*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 467 - (4 - 8 - -8). Let p = -18 + j. What are the prime factors of p?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + t**2 - 8 - 3*t - t**2 + 7 to l*t + k*t**4 + p*t**2 + o*t**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 86*n\/3 - 56.\nAnswer: -(n - 84)*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (30 - 25) + 5 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012001824 rounded to seven decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5320 is divided by 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.31302 litres to millilitres.\nAnswer: 27313.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233805599.\nAnswer: 97, 2410367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42231 * -0.4.\nAnswer: 16892.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 121 = -39. What is the units digit of 389 + 7 - n\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, 0 in decreasing order.\nAnswer: 23, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10657\/30 - -355. Let x = -8119 - -267898\/33. Calculate the common denominator of x and c.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*m - 389 = -21, 2*m - 2 = 0. Let k = 255 + 434. Calculate the remainder when v is divided by k\/26 + -7 + (-5)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 7*q**2 + 7*q + 10. Let s be x(8). Let h be 0 + (-6)\/(1 + -2). Suppose h*o = 2*o, -4*o = s*y. Solve y = -6*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 29. Let y(x) be the second derivative of -x**5\/20 - x**4\/3 - x**3\/2 - 5*x**2\/2 + x. Is 4 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-8) + (-2)\/8. Let b be 0 - -8 - (2 + d). Factor 10\/7*x - 2\/7 + 2\/7*x**b - 20\/7*x**2 + 20\/7*x**3 - 10\/7*x**4.\nAnswer: 2*(x - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2612 is divided by 204.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from zzwzwqwqww.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12895 + 7471. Let i be (-1046)\/6*870\/(-28). Let b = y + i. Find the common denominator of b and -65\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 + 134*l + 40. Let r be t(-22). What is the third biggest value in r, 295, 1\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwfqqq. What is prob of picking 1 w and 1 q?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*v + 242, 80 = -0*g - 2*g - 3*v. Let t = 91 + g. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d - d)*(4 - 4 + 2*d) + 2 + d**3 - 2 + (-2*d**2 + 2*d**2 - 4*d**2)*(-34*d - 31*d + 63*d - 29).\nAnswer: 7*d**3 + 116*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*j + 87768 = 20408 for j.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*j + 35, 0 = 4*s - 2*j - j. Suppose s*y + 480 = 13*y. What is the greatest common factor of 80 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/(17\/34)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3 + 688643*t**2 - 8199*t - 73.\nAnswer: 12*t + 1377286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 20, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 1105*m - 1100.\nAnswer: -5*(m + 1)*(m + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-55)\/(-10))\/(-11) - 0. Let b(q) = -q**2 - q + 2. Give b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s + 2. Let y(a) = a**3 - a**2 - a + 2. Let l be y(2). Let b be r(l). What is the remainder when 1 is divided by (-2)\/(5\/(b\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 - (13 - 9) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70468597 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -69. Let h be 1*(-3 + 65\/f)*0. Solve 0 = 4*x - 12 - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478142*h**3 - 239074*h**3 - 239055*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -14.96. Let v = z - -14.3. Let x = -2.2 + 2.1. Which is the closest to 0.1? (a) v (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 18, 52, 86?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 4347?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 714 (base 8) to base 16\nAnswer: 1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2644 + 5328?\nAnswer: 29b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 8*h + 1. Let i(n) = -9911*n**2 - 1039*n + 1. Let j(u) = 3*g(u) - i(u). What is the second derivative of j(q) wrt q?\nAnswer: 19798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 278, 590, 1018, 1562?\nAnswer: 2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d - 6. Let f be u(-2). What is the highest common divisor of 180 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1947 + -31079\/16. Let z be 1116\/5 + (-18)\/(-9). Let m = -4769\/20 + z. What is the common denominator of m and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*7*9\/(-630)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let r(z) = 14*z - 9. Let w(o) = -22*o + 14. Let u(l) = 8*r(l) + 5*w(l). What is -u(j) + y(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ba (base 12) to base 15.\nAnswer: -51a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14502 - -14504. Which is the closest to -0.73? (a) 30 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g. Let i be t(4). What is the second derivative of -o**4 + o + 0*o**4 + o**i + o**4 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -11. Let w be ((-2)\/3)\/(q\/30). Let z be w\/15 - (-5)\/3. Solve z = h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -5*x + 4*z, z + 65 = x - 4*z. Solve 0*w + 10*w + x = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2 - 2)*(0*j**2 - 2*j**2 + 3*j**2)*(j + 6*j**2 - j + (-j + 3 - 3)*(-2*j - 2*j + 5*j)).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 12, -3, 6 in increasing order.\nAnswer: -4, -3, -2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9674 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 22*m**3 + 371*m**2 - 741*m - 2. Determine n(2).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 28. Let f be (6\/u)\/((-2)\/88). Let z(o) = -o + 13. Let b be z(11). What is the greatest common divisor of f and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let l(s) = s. Suppose 0 = z + 5 - 6. Let g(h) = 6*h**2 + 15*h. Let m be (-45)\/(3\/1) - 0. Let c(q) = m*l(q) + z*g(q). Determine c(a(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1441*b - 2. Is i(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/12 - 53*v**3\/12 - 2029*v**2\/12 - 1975*v\/12.\nAnswer: v*(v - 79)*(v + 1)*(v + 25)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 51292332 divided by 1842\nAnswer: 27846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -433 + 412 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/6919 and -16\/85?\nAnswer: 34595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = 3*f - 384. Which is the third smallest value? (a) -3\/2 (b) -0.07 (c) f (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6509\/1134 + -31\/81. Calculate the common denominator of y and (-6)\/(-24) - (-52)\/(-6).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4263*q + 21364. What is k(5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - i**3 + 5 + 10 + 6*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 - 35\/(-20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9423 divided by -27?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(20))\/sqrt(10) - (sqrt(2) + sqrt(8)\/sqrt(4))*-6).\nAnswer: -55*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326959 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 - -6. 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 = 34 - 26. Suppose 20 = q*o - 3*o. Suppose -15 = -w - 3*h, 5*w + o*h - 7 - 24 = 0. Put 6, w, 2 in descending order.\nAnswer: 6, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 58*y + 4*h = 19253, 2*h = y - 19259. Is 131 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32468, -51736, -71004, -90272, -109540, -128808?\n\"Answer: -19268*u - 13200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = 3*v + 5, 4*v + 3 = -3*w. Let o = -2 - v. What is the remainder when o\/(-4)*4 - -10 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 2*o + 3*o + (5*o - 13*o + o)*(4 - 2 - 4).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9072 and 6512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10031 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c + 6. Let s(w) = -28*w - 7. Let r(n) = -7*h(n) - 6*s(n). Let v(i) = -9*i - 6. Let p(b) = 14*b + 10. Let u(t) = 3*p(t) + 5*v(t). Give r(u(z)).\nAnswer: 105*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 151*q + 165 wrt q?\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(170) - (2*sqrt(170) + sqrt(170) - sqrt(170)))*3 + 2*sqrt(170)*-2 + sqrt(170)))\/(2*sqrt(80)\/(-1*sqrt(288))) + 2.\nAnswer: -72*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*o, -4*y + 3*o = -308. Suppose 2*m + 2*m = y. Solve 2*s - 5*s - 4*l = 23, -5*s - m = 3*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171 - 205 + 517)*(2*z**5 + 3*z**5 - 4*z**5).\nAnswer: 141*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxbbbb. What is prob of sequence bx?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:06 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 28621 = 22*h - 24*h, -5*y - 28649 = -2*h. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five quarters of a hour?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = -15. Let l be t + 3\/((-3)\/2). Let v be (-4)\/l - (-48)\/20. Put 5, v, 4 in descending order.\nAnswer: 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {n: 1, d: 4, k: 5, y: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 4, 5, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 58. Let s(h) = -14*h - 115. Let q(z) = 5*j(z) + 3*s(z). Let i(u) = 2*u**2. Give q(i(f)).\nAnswer: -14*f**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or -3410830?\nAnswer: -3410830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 600209.3um in nanometers?\nAnswer: 600209300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -71715, -4, 0, 1, -5 in descending order.\nAnswer: 1, 0, -4, -5, -71715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -552, 15, 2, 0, 3 in decreasing order.\nAnswer: 15, 3, 2, 0, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 2210 + 440. List the prime factors of p.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 307, 623, 1063, 1627, 2315?\nAnswer: 3127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018304 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -7) + 1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 5. Let f be 10\/12*15\/(-20). Let n = f - -1\/8. What is the nearest to n in -0.4, -1, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let z(c) = -53*c - 5. Let o(x) = -x - 1. Let r(i) = 4*o(i) - z(i). Determine r(f(b)).\nAnswer: 49*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v\/v**5)*v))\/(v*v*(v*v\/v**(-3))\/v))\/(v**(-3\/2)*v\/(v**12\/v*v)) assuming v is positive.\nAnswer: sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -786*j**3 - 9*j**2 + 32*j + 197. Is f(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.090507154 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, r: 1, b: 2, z: 4}. What is prob of sequence rbq?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:20 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2264140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5847*b*f**2 - 20*b*f*x + 5*b*f - 12320*f**2*x + 2*f**2 wrt x.\nAnswer: -20*b*f - 12320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39926?\nAnswer: 2, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -383755790 divided by -85?\nAnswer: 4514774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*n + 1. Which is the closest to 0? (a) n (b) -0.5 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 15*a = 15. Suppose -k = -4*g - 4*k - 12, 5*k + a = -g. Let c be (2 + 7\/g)\/((-5)\/120). Solve 0 = 3*i - c*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*u + 3 = 0, -u + u - 36 = 2*u + 4*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86050?\nAnswer: 2, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*q**2*s - 2*c*q**2*x - 9*c*q**2 + c*q*x - 8*q*s*x**3 - x**3 wrt s?\nAnswer: -2*c*q**2 - 8*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 2, j: 1, g: 7}. Give prob of picking 2 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 5*y**3 - 3*y**3 + (-y**3 - 36*y + 36*y)*(3 - 6 + 1) + 0*y**3 + 2*y**3 + 0*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-1)\/2*((-4774)\/(-99))\/62.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/30 + 2*(-3)\/(-30). Suppose f*a - 3*u + 1040 = 5*a, -624 = -3*a - 5*u. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994 times 31?\nAnswer: 92814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2417, -9397, -20951, -37085, -57805, -83117, -113027?\n\"Answer: -d**3 - 2281*d**2 - 130*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -18293*p + 27259*p - 9755*p - 10716*p in the form u + o*p and give o.\nAnswer: -11505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 1, y: 1}. What is prob of sequence ylh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54025 - 32233. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141.6 + 141.5. What is the third smallest value in 18\/29, 4, 6\/5, m?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(49\/(5145\/(-60))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -4.9. Suppose -3*c = 4*x - 25, -14 = -5*x + 3*c - c. What is the closest to 0.1 in 0.5, x, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 969 + -1655. Let j = 686 + z. Solve -x - 10 = 2*d + 2*x, -x = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29026427?\nAnswer: 181, 160367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851 = 6*t - 5*z - 981, 75 = -t - 4*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*f + 185*f = -8344. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 12) to base 3\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 351339 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 15d5a?\nAnswer: 15d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:42 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 4*u. Let p be a(-4). Let o be (3 + 50 - p) + 0. What is the common denominator of 43\/16 and 2 - o*2\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**2 - 8*k + 11*k - 6*k)*(-5 - 17 - 21).\nAnswer: 301*k**2 + 129*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/101 + -279\/404. Let y = 0.1 - -4.9. Let i = 1 - y. Which is the second biggest value? (a) -0.2 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13945*p**2 - 1603678*p - 352. Calculate q(-115).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24623793 - 0.5?\nAnswer: 6.74623793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1696*z - 7177*z**2 - 918*z + 7164*z**2 - 778*z.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(1 + sqrt(176) - -4*sqrt(44)\/sqrt(4)).\nAnswer: -24*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 770\/(-154) - (1 + (-30274)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/3 + q**2\/3 + 58*q\/3 - 112\/3 = 0?\nAnswer: -8, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1101111010111010?\nAnswer: -1101111010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(220) - 1*sqrt(220))\/sqrt(4) - sqrt(55)) + sqrt(495)*-2))\/(sqrt(35)\/(sqrt(14)\/sqrt(2)) + sqrt(45)\/(sqrt(45)\/sqrt(5)) + sqrt(5))*3.\nAnswer: -28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - a - 7 - 12 + 21.\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/18 + 242\/99. Which is greater: -6\/251 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 4. Let g be t(-6). Suppose -g*i + 7 = -i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/11665699?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*q - 13, -2*q + 8 = q + 2*p. Suppose -q*r - 3*r = 5*h + 25, 2*r = -4*h - 8. Let x = r - -6. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 269, 440, 609, 776, 941?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**7\/420 + i**4\/24 + i**3\/6 + 6*i. Let t(u) be the second derivative of w(u). Differentiate t(l) with respect to l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 7*x**2 - 3*x. Let a = -252 - -106. Let o = -150 - a. Let v(w) = -6*w**3 + 20*w**2 + 8*w. Determine o*v(n) - 11*b(n).\nAnswer: 2*n**3 - 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18490 and -57\/16?\nAnswer: 147920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + -15?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + 74\/(-14). Let z = -10162 + 10158. Put h, z, -2, -62 in increasing order.\nAnswer: -62, h, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21110210021020 - 20?\nAnswer: 21110210021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4507235*-166.\nAnswer: -748201010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33545 divided by -1922.\nAnswer: 33545\/1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 25 = 0, -3*w - 2*g + g = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -79\/6, -328.\nAnswer: -328, -79\/6, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10260, -3\/5, 3595?\nAnswer: 3595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -500769992 divided by -4\nAnswer: 125192498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v + 224. Calculate k(31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 1)*(-3*g + 3*g**3 - 3*g + 10*g) + 8*g - 8*g - 8*g**3 to the form s*g + k*g**3 + p + z*g**2 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 16*j - 3*j**2 - 9*j - 7*j as t*j**2 + u*j + d and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38554.\nAnswer: 2, 37, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/18*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-98))\/((-3)\/12). Is 0 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 5:11 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*b**4 + b - 26*b**3 + 3 - 2 - 60*b**4 + 29*b**4 as k*b**4 + j*b + u*b**2 + q + p*b**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*n**5 - 284*n**4 + 204*n**3 + 284*n**2 + 40*n = 0. Calculate n.\nAnswer: -1, -10\/61, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, 28088, -3 in ascending order.\nAnswer: -3, -2\/3, 3, 28088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151039 is divided by 50340.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4389824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + y + 2*y**4 + 3 - 54*y**2 + 2*y**3 + 51*y**2 - 3*y**3 in the form z + r*y**3 + u*y**4 + b*y + v*y**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 28) + 5 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:46 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}